diff --git "a/data/dm_maths/full_data_1/11207_11255.jsonl" "b/data/dm_maths/full_data_1/11207_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/11207_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is 296 minutes before 8:27 AM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 - -19. Suppose -d*m + 2 = -4. What is the greatest common factor of m and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.78011 hours to nanoseconds.\nAnswer: 2808396000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -32.3 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -829 divided by -4.\nAnswer: 829\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 370*o. Let r(q) = -16 + 17 + 18 - 16*q - 19. Calculate r(j(w)).\nAnswer: -5920*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -16 + 21*m - 6 + 1 + 55*m. Is k(14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5078037.9 and -193.\nAnswer: -5078230.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -844.99 rounded to 0 decimal places?\nAnswer: -845","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**3 + 6*i**3 - i**3)*((-1 + 2 + 0)*(0 + 0 + 2*i) + 4*i - i - i + 3*i - 6*i + 0*i).\nAnswer: 6*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 8, 6, 328 in ascending order.\nAnswer: 5, 6, 8, 328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46900 and 9100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/15 of a hour?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of 2*a**3\/21 - 6*a**2\/7 + 18*a\/7 - 80. Let g(c) = 0. Calculate c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1671560506.\nAnswer: 2, 7, 11, 59, 183971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 + 231. Let w be 1*-5*152\/(-40). What is the highest common factor of w and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o - 7*o + 1225*o**2 - 1227*o**2 - 7*o - 1 + 10*o.\nAnswer: -2*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 596440 < 596533?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k + 1. Let v(c) = -18*c + 35*c - 19*c - 5. What is -4*s(j) - v(j)?\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 67, 1790, 3 in increasing order.\nAnswer: 3, 67, 1790","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 2*h + 30*o - 35*o, -4*h + 24 = -2*o for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l**4 + 5664*l**3 + 23084*l**2 - 514920*l - 2783200 = 0. What is l?\nAnswer: -7, 10, 1420","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, w: 2, a: 4, e: 3, p: 1}. Give prob of picking 1 e, 1 w, and 1 p.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*h**3 + 5*h + 787*h**2 + 0*h + 1 - 5*h - 1029*h**2 to n*h**2 + k + q*h + v*h**3 and give v.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 divided by -9795039?\nAnswer: 35\/9795039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 20016564 * 1\nAnswer: 20016564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*n - 14. Suppose 0*f - 2 = f. Sort 0, n, f in decreasing order.\nAnswer: n, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6120 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147 - 123 = -2*p - 2*x, -x = -2*p + 282. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u + 2*u - 3*u - u + 9. Let d be c(4). Solve d = k + 7 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-302512)\/(-3478) + 80 + -167?\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -646 divided by 1?\nAnswer: -646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -5*y - 5. Suppose -5*b - 10 = 25. Let i be j(b). Suppose -2*r = r - i. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of w**4\/10 + w**3 + 12*w**2\/5 - 16*w\/5 + 113. Factor x(k).\nAnswer: (k + 4)**2*(2*k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.114? (a) 0.3 (b) -0.039 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53 - 51. Let w be 3 - (-4)\/(-3 - 1). Let x = 22 - 4. Solve -2*m + t*a - 14 = 2*m, 5*m = w*a - x for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 5*k**2\/4 + 25*k\/2 + 20 = 0.\nAnswer: -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -15, 8, -3, 2 in decreasing order.\nAnswer: 8, 2, -3, -7, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -620.73 - -618. Round g to one dp.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 2*c. Let n = -227 - -229. Sort n, -1, -2, c.\nAnswer: -2, -1, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2*b**2 + 25*b**4 - 62*b**4 + 35*b**4 + 6*b as m*b**3 + i*b**4 + r + l*b**2 + z*b and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 101 - 181. Let h = -87.1 - m. Let w = 0.6 - h. What is w rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1.1211537 months?\nAnswer: 0.0093429475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 29*q**2 - 59*q + 133. Determine j(27).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, z: 5, r: 4}. Give prob of picking 2 z.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5 (b) 3 (c) 4188\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3*v**3 - 4*v**2 + 9*v + 5. What is f(-3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 62, 166, 334, 566, 862, 1222, 1646?\n\"Answer: 32*s**2 + 8*s + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 692a (base 13) to base 2\nAnswer: 11100110010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40175)\/750 + 56 - (-5)\/(-6)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63\/77*(-40)\/60?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + 1 + 8 + -25.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 11:47 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**(-5)*u))\/(u\/((u\/(u**(1\/7)*u))\/u)))\/(u*u**(-1))**(-7)*u*u**(-4)*u\/(u\/(u\/u**(-5)))*(u\/((u**7\/u)\/u))\/u**(-1\/5) assuming u is positive.\nAnswer: u**(37\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -532587 + 533214.098. Let n = t + -646.09765. Let r = n + 19. Round r to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 371*x + x**2 + 346*x + 393*x - 1813*x + 353*x + 350*x.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.087713779 rounded to five decimal places?\nAnswer: -0.08771","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 114592075 and 325.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 10669*l - 987. Let y(z) = 97*z - 9. Give -3*s(o) + 329*y(o).\nAnswer: -94*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -10d4a09?\nAnswer: -10d4a08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41182 is divided by 117.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 13 = -4. Let u be (-198)\/(-8) - (-3)\/12. Let z be (20\/u)\/((-4)\/(-10)). Sort w, z, 1 in decreasing order.\nAnswer: w, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 2*r - 3832 = 0. Suppose -o + r = o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -161.132294 - -0.011\nAnswer: -161.121294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 734 = 725 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(98) + 1 - ((sqrt(2) - (sqrt(2) + -1)) + sqrt(2) - sqrt(2))*-3)**2.\nAnswer: 56*sqrt(2) + 118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.53 + -0.03. Round r to 0 decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2122*m**2 + 5*m - 1376. Let z(x) = -13780*x**2 - 32*x + 8944. Let v(q) = 32*c(q) + 5*z(q). What is the first derivative of v(p) wrt p?\nAnswer: -1992*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -65\/6 - -67\/6. What is the biggest value in b, -3, 0.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294283 is divided by 1633.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of -w**8\/21 - w**5\/60 + 5*w**4\/12 + 3*w**2 - w. What is the second derivative of r(q) wrt q?\nAnswer: -320*q**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -1992*o**2 - 29886*o - 102. Determine j(-15).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -15, -27, -63, -135, -255, -435, -687?\n\"Answer: -2*l**3 + 2*l - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2144 + 9006*w - 1124 - 1020 to m + v*w and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 3*q + 33 - 13, q - 76 = -3*k. What is the smallest common multiple of 16 and k?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.408801 rounded to 4 dps?\nAnswer: 0.4088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 217 + -220. What is the closest to -5 in -0.1, z, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 10*o**2 + 18*o - 9. What is t(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -u**3\/3 - 25*u**2\/2 - 88*u + 1009. Determine b(-21).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 113094387?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.2, 18, -39, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 1)*((6 - 3) + 10). Let j = v + -18. Is (-44838)\/(-18) - (j - -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -15. Suppose f = -5*s + z - 9, -5*z = s - 10*z - 3. Let d(r) = -r + 1. Let h be d(s). Solve -b = -h*b - 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -16*o. Let f(y) be the second derivative of -8*y**4\/3 - 168*y. Give f(h(k)).\nAnswer: -8192*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 1528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 25\/2 of a millimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.001 and 4?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -28684, -57391, -86108, -114835, -143572?\n\"Answer: -5*o**2 - 28692*o + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 15*v**2 - 42*v - 6. Let r be a(11). Suppose -j + 19 = 3*i + r, -2*j - 14 = -4*i. Let h(n) = n**3 + 3*n**2 + n + 6. Determine h(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -194.6 take away 33009?\nAnswer: -33203.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 925 is divided by 1755\/156*(29\/3 + -1 + 2).\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*n - 21 = 0. Let x = n + -16. Solve w - 2 = 3*t - x, w + 4 = 4*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-4)*(-252)\/567\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -92515, -370090, -832753, -1480534, -2313463, -3331570, -4534885?\n\"Answer: -5*u**3 - 92514*u**2 + 2*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1582*k - 4744*k + 1581*k - 274 + 1578*k as n*k + j and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 29 = -y + 4*y, 4*k + 63 = 5*y. Let h be (-92)\/(-5) - (-2)\/(-5). Let n = h - y. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 2*w**2. Suppose 7*d + 280 = 2*d. Let p be -1 + 11 + d\/14. Suppose -2*t = -p*t - 8. Calculate u(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 693 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -11 and 2873 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 707.\nAnswer: 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -41 (b) -0.4 (c) -93 (d) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 10*y**3 - 21*y**2 + 8*y - 16. Let o(i) = -3*i**3 + 7*i**2 - 3*i + 5. Let l(t) = 2*b(t) + 7*o(t). Is l(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 7. Suppose -5*n + 451 = -2*q, -4*q - 16 + 206 = v*n. What is the highest common divisor of n and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.5 - -0.2. What is the third biggest value in -4, k, -2, 1.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/15)*y)**(-43)*y**11\/(y\/(y**(-4\/5)*y)) assuming y is positive.\nAnswer: y**(-406\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -136 + 470 - 151 - 140 + 5*f. Give w(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1047*f + 75428 - 75428)*(2*f - f - 2*f) to the form v*f**2 + l + s*f and give v.\nAnswer: -1047","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 29291312563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 11*r**2 + 6*r - 44. Let l be w(10). Let q = 143 + l. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.41 and 0.116.\nAnswer: -0.39556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 5:35 PM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2080\/12)\/(74\/333). Are 781 and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*n = 166*n - 72 - 680 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 330\/(-105) - (-6)\/7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93, 305, 751, 1545, 2801?\nAnswer: 4633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 307*d**3 - 12*d**2 + 4*d + 14. Let s(z) = -115*z**3 + 4*z**2 - 2*z - 5. Let r(c) = 3*n(c) + 8*s(c). Let j be (-43)\/(-9) + 2\/9. What is r(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -637?\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 1)*(2*i + 2*i - i)*(-68 - 62 + 48).\nAnswer: -738*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*6194\nAnswer: 1858.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*o + 3*o + 13624 = 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(d) = 9*d - 98. Let i be n(12). Solve 5*t - i = 4*s, -t + 0*t = 3*s - 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 68 - -2452. Calculate the greatest common divisor of a and 490.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (88\/(-9900))\/(-5*1\/(-25)).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -7864?\nAnswer: 2359.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 6. Let z = 53 - 53.3. Which is the third smallest value? (a) l (b) z (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4\/3 - 89*b**3\/3 + 286*b**2 - 2332*b\/3 + 1960\/3.\nAnswer: -(b - 5)*(b - 2)**2*(b + 98)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 77897033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (784 + 529 - 43)*(1 + 1 - 1)*(4*h + h - 3*h).\nAnswer: 2540*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2226188088 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: Calculate the lowest common multiple of 128 and 10.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 79850 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p - 72*p - 10*p + 90*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/2812016 and -25\/21.\nAnswer: 59052336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 27 = -17 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 411274.395ns?\nAnswer: 0.0000000006800171875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-6)*0\/(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d**5 - 3*d**5 + 2*d**5)*(-27 - 89 + 38).\nAnswer: -312*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of 233*l**6\/6 - 271*l**3\/3 - 408. Find the third derivative of f(y) wrt y.\nAnswer: 13980*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88211 (base 9) in base 7?\nAnswer: 332350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1)*(-c + c + c) + (0 - 2*c + 0)*(2 + 1 - 1) + (2*c + 4 - 4)*(-1 + 0 + 0).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12 - 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1828535094?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1273946?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -3*f**5 - 11*f**3\/2 + 43*f + 1. Find the second derivative of i(w) wrt w.\nAnswer: -360*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6724*g**2 + 3453*g**2 + 3338*g**2.\nAnswer: 13515*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-33)\/(-3) + -3 - 2. Suppose p + s = -4*f, 0 = -4*p - 4*f + f + 2. Is 249*(p + 1)\/9 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1519?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(-2)\/((-8)\/(-12)). Suppose 0 = -b*z - 128340 - 333660. Round z to the nearest 10000.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 663803038.\nAnswer: 2, 19, 41, 426061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 883832543?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of -4867*b**6\/15 - 1507*b**2\/2 - 3868*b. Find the first derivative of k(z) wrt z.\nAnswer: -38936*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -5 (b) -3 (c) -3131\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - u + 1. Suppose -3*q + 44 = -5*b + 9, -q + 1 = b. Let a be f(b). Suppose w = 2 + a. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = 50*n - 59*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 3. Suppose x = -5*g + 3*g + 2*q, 0 = -3*g - 5*q + 5. Suppose 2*v - 2*y - 46 = -v, 2*y + 10 = g. Solve v = 2*o - 6*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -74402*y + 1785632. Determine j(24).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6493, 26238, 59131, 105160, 164313, 236578?\n\"Answer: -2*y**3 + 6586*y**2 + y - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -5*r - 19, 7*j - 2*j - 3*r - 37 = 0. Let d = -8 + j. Solve 2*f - 1 = 3*o, -4*o + 9*o - 4*f + 1 = d for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*u + 889549 = 3*r + 45*u, -2*u - 4 = 0. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 736.25 to the nearest ten.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -3*g + 3*p - 8*p, -5*g - p + 16 = 0. Solve g*q - 5 = 5*z, 5*q - 15 = -0*z + 5*z for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1220, -9902, -33514, -79520, -155384, -268570, -426542, -636764?\nAnswer: -906700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 723, 654, 591, 534, 483?\n\"Answer: 3*p**2 - 78*p + 798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = t + 2, -2*t - 4 = -4*h. Suppose -57 = 2*i - 155. Is i + h - (-3 + 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/160298180 and 1\/29826?\nAnswer: 1442683620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 1 = j. Calculate the remainder when 21 is divided by j - -1*(11 + 0).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4230 is divided by 1227.\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3887628 divided by 102306\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (-1 + -2)*(-33)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268511083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 90 = 3*l, -4*l = 2*j - 47 - 25. Let x(v) = -j + 70 + 9*v - 39. Suppose 0 = -3*z + 31 - 10. Let n(p) = 3*p. Determine z*n(h) - 2*x(h).\nAnswer: 3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*j - 11*j - 60*j)*(-3 + 6 - 1)*(40 + 39 + 210*j - 79) as l*j**2 + a + d*j and give l.\nAnswer: -30660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13170 + 13173. Let m(r) be the second derivative of 17*r + 1\/10*r**5 + 1\/3*r**4 - 2*r**2 - 1\/3*r**y + 0. What is x in m(x) = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-595)\/(-84) + -7 - (-244)\/528.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 484.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*((b\/(b*b**(-1\/4))*b)\/b)\/b)\/b)**(1\/30)*b**(-3\/2)\/(b\/b**3))**(-16\/9) assuming b is positive.\nAnswer: b**(-38\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -5*f**2 + 60*f - 6. Let k be w(11). Put k, -2, -3 in ascending order.\nAnswer: -3, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/25)\/b**(-13))\/(b**(-6)*b**16\/b) assuming b is positive.\nAnswer: b**(98\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3621 + 3621 - 44*v**2 + 119*v**2.\nAnswer: 75*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7530.\nAnswer: 2, 3, 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -8*n - 7. Let x = -1 - 5. Let g(f) be the second derivative of -f**3\/6 - f**2\/2 - f. Suppose p - 5 = -4*p. Determine p*z(c) + x*g(c).\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, 0.0903, 17?\nAnswer: 0.0903","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 118018 in 114, -1, 4?\nAnswer: 114","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*(-31 + 5 + -2). Suppose -2*r - 4*p + n = -0*r, 2*p - 76 = -3*r. Is r a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 15. Is t > 3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*m**2 + 6*m**4 + 8*m**5 - 6*m**4 - 5*m**5 wrt m?\nAnswer: 180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28131.62 * -3\nAnswer: 84394.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c + 0*c + 3 + 2*c**2 + 0. Let p = -9 - 8. Let s = p - -15. Calculate l(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-3\/2)\/(n\/(n\/n**1*n))*(n\/n**(1\/3))**(-1\/19)*(n\/n**(5\/7)*n*n**3*n)**43 assuming n is positive.\nAnswer: n**(180149\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(30)\/sqrt(6) + 3 + 3 + sqrt(35)\/sqrt(7)) - (sqrt(495) - (sqrt(495) - sqrt(495)*4) - sqrt(495))\/(sqrt(11) + -1*sqrt(99)).\nAnswer: 30 + 29*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*j + 0 + 7*j + 0 to the form r*j + b and give r.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 148*p + 68. Suppose 32 = 5*f + 3*h - 19, -f - 5*h - 3 = 0. List the prime factors of l(f).\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(72)*-4*2 + -5.\nAnswer: -5 + 240*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 387588393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 277.33 - 277.38668. Round o to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 16) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 165*o + 1. Let h(c) = -164*c. Give -3*h(n) - 2*l(n).\nAnswer: 162*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/3 and 31\/16698681.\nAnswer: 16698681","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 61*l**3 + 5*l - 40. Let r(t) = 92*t**3 + 8*t - 60. Let d(x) = 5*r(x) - 8*z(x). Find the first derivative of d(a) wrt a.\nAnswer: -84*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 301109.\nAnswer: 353, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 2 + (0 + 5 - 3)*(2 - 5 + 1) - 1 + 4 + 4)*(2*n + 1 - 1).\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1079710, 1079701, 1079688, 1079671?\nAnswer: 1079650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3 - 3 - 3*i. Does 9 divide s(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a\/(a**(5\/3)*a))\/a)**(-3\/5)*(a\/a**(-4\/7))**(-11\/4) assuming a is positive.\nAnswer: a**(-93\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9072 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1706767457 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1362.31 and -1.2?\nAnswer: -1634.772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -8. Let o(g) = 2*g**3 + 2*g - 2. Let p be o(t). Let d = p - 5. Is d a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -31, 0, 2, 231, 1 in increasing order.\nAnswer: -31, 0, 1, 2, 5, 231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.13 + -0.33. Let z = t - 0.8. Let w = -5.7 - -3.7. What is the biggest value in w, z, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3821 is divided by 3774?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -83 in 0.4, 0.03, -4417?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/95 and -71\/5250.\nAnswer: 99750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*((-11)\/11 + (-5)\/2). Solve 0 = 2*w - a*w + 25 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*5\/(-2)*8\/(-30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21233525 and 88.\nAnswer: 1868550200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3*m + 8 = -2, 0 = -4*u - 2*m + 60. Let l(n) = 56*n + 23. Is l(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/4)*m*m*m**(-2\/13)*m*m*m\/(m*m**4)*m**(2\/15) assuming m is positive.\nAnswer: m**(-211\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5689235 is divided by 4084.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 216363 and 987.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/4 + 169*j\/4 - 129.\nAnswer: (j - 3)*(j + 172)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 + 20.7. Let n = 4.3 + o. Let v = 0.1 + -0.2. Which is the third smallest value? (a) 2\/3 (b) n (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 8. Suppose -d + 2*q = 5, 2*d - 5*d + l*q - 11 = 0. Suppose -k + d*k = 24. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16 * 0.0481991.\nAnswer: 0.7711856","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Solve -845*z**4 + 2541890*z**3 - 1797682385*z**2 - 173709556320*z - 171909331200 = 0.\nAnswer: -85, -1, 20112\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90)\/24*(-10660)\/(-1599)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/((-5)\/(-1)) - -1. Let l(h) be the second derivative of -4*h + 0 + a*h**2 - 2\/3*h**3. Let f(z) = -2*z. Determine f(l(k)).\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/7 + 208*f\/7 - 5408\/7.\nAnswer: -2*(f - 52)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 + 8335*i - 1312080.\nAnswer: -5*(i - 1491)*(i - 176)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 132 + -76. Let q be 63\/(-2) + (-4 - (-56)\/16). Let l = x + q. Is 4 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -7*n + 319. Let c be z(-17). Suppose -5*j + 4 = -3*j. Suppose -j*p + c = p. List the prime factors of p.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 4)*(-s**2 - s**2 + 4*s**2) + (3*s + s - 5*s)*((0*s + 0*s + s)*(-2 - 2 + 5) + 12 + 21*s - 12).\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 2*y**2 - y + 4. Let r be h(2). Suppose 3*g - 8 = -r. Which is greater: g or -6?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 15*m**3 - 4*m - 6 + 4*m**2 + m**2 + m**2 - m. Let b(z) = -2*z**3 + z**2 - z - 1. Let v(h) = 5*b(h) - g(h). Give v(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 546 - 2?\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(441)*1 + sqrt(162)\/sqrt(2))\/(sqrt(27)\/(sqrt(27)\/sqrt(3)) - (sqrt(3) + sqrt(24)\/(-2*sqrt(8)))).\nAnswer: -60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 32 = w, -5*w = -83*q + 86*q + 24 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jmjolhow. What is prob of picking 1 o, 1 w, and 1 l?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-51)\/(-6)*(-1 - 5). Let o = 71 + k. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 363, 372, 393, 432, 495, 588, 717, 888?\nAnswer: 1107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85899?\nAnswer: 3, 11, 19, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -217.804 + -0.039\nAnswer: -217.843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 6 - 6. Suppose 16 = 4*u + 4*j, w*u + 2*j - 12 = j. What is the second derivative of 12*o**4 - o**4 + 14*o - 12*o**u - 12*o**4 wrt o?\nAnswer: -156*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7167810*f**4 - 6*f**3*i - f*i + 1241243571*i wrt f?\nAnswer: 28671240*f**3 - 18*f**2*i - i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of b**8\/672 - b**7\/420 - b**6\/240 + b**5\/120 - 4*b**2. Let n(g) = 0. Calculate g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/22))**(-3\/5))**(-3) assuming x is positive.\nAnswer: x**(9\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 74507 equal to 521558\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.69 - 1.8. Let v = i + 0.01. What is the second smallest value in v, -4, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -10012?\nAnswer: 10011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -2*u - 4*g, 3*g - 27 = -u + 4*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 589 - 420. What is the remainder when r is divided by 35?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 6. Let x(v) = -v**3 - v**2 - v + 8. Let p be x(0). Solve -z - p = -l*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/4 + 3\/(-4). Let n(b) = -42*b - 2935. Let s be n(-70). Put 1, s, d, -2 in descending order.\nAnswer: s, 1, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -r + 5*p - 99, 2*r + 2*p - 70 = 0. Let a = r + -18. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1425\/4 + -347. Let v(u) be the second derivative of 10*u**3 + 9\/2*u**5 - 6*u**2 - 2*u - 9\/10*u**6 + 0 - a*u**4. Factor v(m).\nAnswer: -3*(m - 1)**2*(3*m - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -10. Let o(r) = 2*r**3 + 3*r**2 + 25*r - 7. Let t be o(-3). Sort 5, t, b, -3.\nAnswer: t, b, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256 = -24*g - 8 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of -31*h**4\/24 - 25*h**2 + 3. Let s(y) = 11*y**2. Calculate j(s(c)).\nAnswer: -341*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3426*f + 2060 = -3529*f for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-24)\/(-14) + 4\/14. Suppose -m + 90 = i*m. Suppose m + 5 = 5*p. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -21*n**2 - 11*n**2 + n**2. Suppose 0 = 3*h + 5*d + 17, 33*h = 28*h + 5*d + 25. Let r(t) = 20 + h - 21 - t. Calculate r(f(s)).\nAnswer: 31*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*o**3*q + 2*o**2*q + 63201*o**2 - 3*o*q + q + 176699 wrt o?\nAnswer: -36*o*q + 4*q + 126402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20 in 5, -0.5, 0.3, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 3. Let q = 0 + 0.2. Suppose -8 + 0 = 2*z. What is the closest to 1 in q, j, z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -19*1*(1 - 2). Let a be 2\/30*5 + (-97)\/3. Let i = a + d. Find the common denominator of -101\/8 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4362?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 - 18.6. What is the third biggest value in 5, -2, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 570*j - 410 = 565*j. Calculate the remainder when j is divided by (-500)\/(-18) + 2\/9.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7147? (a) -0.5 (b) 0.5 (c) 5 (d) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.762 + -5.7. Let y = w + -12.862. Let m = y + 4.6. Round m to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n - 2. Let h be x(-11). Suppose 3*z - h = -0. Let d = -214\/285 + 20\/57. Which is the smallest value? (a) 0.2 (b) z (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.525 - 0.025. Let t = -0.15 - r. What is the second biggest value in 1\/5, -3\/8, -0.4, t?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 60745, 67470, 78677, 94366?\n\"Answer: 2241*l**2 + 2*l + 58502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - 3*o + 6. Let f be c(3). Suppose s = -2*q + 15, 29 = -3*s + f*s - 2*q. Calculate the greatest common divisor of 11 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/5)\/g**2)\/((g**2*g)\/(g*g**(-4)*g*g)))\/((g**(-3\/8)\/g*g*g*(g*g\/g**(1\/6))\/g)\/(g**0)**(-16)) assuming g is positive.\nAnswer: g**(-919\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20535527?\nAnswer: 23, 892849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + 0 - 11)*3. Suppose 6*h + 10*h - 528 = 0. Let p = h + g. Solve b = -b - 5*w + 18, -2*w + 8 = p for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 203796?\nAnswer: 2, 3, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**2 + 9 - 30*f - 3 - 4*f**2 - 4 to the form s + k*f + h*f**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, g: 1, s: 1, m: 2, a: 4}. Give prob of picking 1 m, 1 a, and 1 g.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33.0193 + 0.0193. Which is bigger: 2\/3 or y?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 2*n**2 + 2*n. Let h = -5 - -8. Let q be c(h). Let z be (q + 213\/(-6))*-2. Round z to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 26*g - 29. What are the prime factors of o(15)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*u = -251, 3*l = -u + 2*u + 763. Let h = -209 + l. Calculate the remainder when h is divided by 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -81*o**6 - 1134*o**5\/5 + 711*o**4 - 4520*o**3\/9 + 152*o**2 - 64*o\/3 + 17. Determine q so that a(q) = 0.\nAnswer: -4, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 8\/13 (b) 1.2 (c) 0.05 (d) -4\/9 (e) 15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -0*c + 5*c. Suppose 0 = c*j - 14 - 20. Let t = 29 - 20. Calculate the remainder when j is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-7 - ((1 - 9) + 8)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 693 and 132?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + 16 - 6)*(2*x**2 - 3*x**2 + 0*x**2).\nAnswer: -27*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6207, -5974, -5741, -5508, -5275?\nAnswer: -5042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/764256 and -9\/1676.\nAnswer: 764256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.9 + 5.2. Sort 2, 5, p, -0.2 in descending order.\nAnswer: 5, 2, p, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 2184929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 496073 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 8:10 AM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3\/4 (b) 1 (c) 3\/4 (d) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0.02, 90, -40818?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197 = 581*g - 2553 - 549 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 96\/(-220) - (-2)\/5. Let v = 1865\/7396 + -4\/1849. Which is the second smallest value? (a) v (b) 5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**4 + 2*s**4 + 5*s**4 + (-4 + 1 + 2)*(3*s - 7*s + 2*s)*(0*s**3 - 2*s**3 + 6*s**3).\nAnswer: 13*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -17*d**2 + 2*d - 3. Let h(q) = -51*q**2 + 6*q - 10. Give 2*h(r) - 7*v(r).\nAnswer: 17*r**2 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2d4 + b?\nAnswer: 2df","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 93, 1311, 3341, 6183, 9837?\n\"Answer: 406*f**2 - 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3*u + 444 + 548 = 0, -2*p - 3*u = 380. Let w = 543 + p. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 8*s - 9. Is 25 a factor of q(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1827609?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 11*i**2 - 10*i + 10. Determine q(-9).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -76*w**2 - 3*w - 10. Let v(g) = 75*g**2 + 3*g + 11. Let x(s) = -3*c(s) - 4*v(s). What is the second derivative of x(h) wrt h?\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3\/7 + 64*i**2\/7 - 4*i\/7 - 64\/7.\nAnswer: 4*(i - 1)*(i + 1)*(i + 16)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*j - 68*j - 153 = 0 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(99) + sqrt(99) + sqrt(99)*1*-1 - sqrt(99)) + sqrt(99))*-5*-2)\/((sqrt(315)\/(sqrt(10)\/sqrt(2)))\/(sqrt(28)\/sqrt(4)*4)))**2.\nAnswer: 17600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -839 - -838.7. Which is the closest to 2? (a) -2\/11 (b) -1 (c) 0.04 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13 + 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - (3 + -4)*18. What is the highest common divisor of d and 180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 705426 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/2)*o)**(-37)*o\/(o*o**(-1))*o*o**(-4\/3) assuming o is positive.\nAnswer: o**(-107\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of k**3\/2 - 2066*k. Let p(m) = m**2 + 11. What is p(j(t))?\nAnswer: 9*t**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1872) + -1*sqrt(1872)) + (sqrt(1872) + (-1*sqrt(1872) - sqrt(1872)))*-2)**2.\nAnswer: 7488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 897930 to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 621?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24028*u**2 + 23950*u**2 - 48321*u**2.\nAnswer: -343*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 311 a factor of 3831321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5237299 and 205.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pxayyyyyypppyxyyyyy. Give prob of picking 1 a and 1 x.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -16*v**2 - 826*v + 896. Determine p(-52).\nAnswer: 584","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 - 28 - 42)*(5*n**2 - n**2 - 2*n**2) + 10*n**2 - 3*n**2 + n**2.\nAnswer: -168*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3499*l**2 + 69*l + 73. Let u(f) = 2333*f**2 - 46*f - 49. Let r(b) = -7*u(b) - 5*y(b). What is the thousands digit of r(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 1800.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -l**4\/3 + 40*l**3\/3 - 47*l**2\/3 - 1060*l\/3 - 532 = 0?\nAnswer: -3, -2, 7, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 1. Let z = -259048 - -259043. Put z, 2, h, -26 in decreasing order.\nAnswer: 2, h, z, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yxq when three letters picked without replacement from qyxzarz.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/3*(18 + 255). Suppose 6*i - 220 - f = 0. Suppose -r + i = 2*j, -2*r + 159 - 1 = -2*j. Is 15 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1.5171831 months?\nAnswer: 0.0126431925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1176 + 4*w + 2293 - 1117.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*p = 44, -2*o = -6*o - 4*p + 176. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 196927745\/733 - 268660. Let x = -72995\/70368 - q. What is the common denominator of x and 97\/14?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*o = 3*o + 130, 3*i = 2*o + 124. Let c be i\/2 + 3 - -2. Round c to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13928974?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26940*d**3 - 646 wrt d.\nAnswer: 80820*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-72)\/(-16) - (-7)\/(-14).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -12*z**2 - 86*z - 61. What is the lowest common multiple of p(-4) and 156?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18560 and 145.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21849625?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 518 = -4614. Suppose -2*l - r = -1934, 3*r = 2*l - 667 - j. What are the prime factors of l?\nAnswer: 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1951*f - 43632 + 4612 = 0 for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 22\/8 - 54\/72. Solve 2 = 2*m + 5*z, 5*m + 5*z + 8 = -p for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33282 * 0.11\nAnswer: -3661.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.4 - 0. Let c = -2.1 + a. Let y = c - 2.8. Round y to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/546*(-392)\/(-147)*9\/(-6).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7341292 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/9 - 165332*v\/3 + 1983952\/9.\nAnswer: 2*(v - 247994)*(v - 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 11:35 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18 is divided by (3\/(-2) + -1)*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 9:55 PM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 768?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 821*g - 170*g - 23153 + 70676 for g.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -12*g**2. Let c(b) = 2*b - 5. Let f(d) = d - 3. Let x(n) = -3*c(n) + 5*f(n). Determine o(x(z)).\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 250104 divided by 9.\nAnswer: 83368\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**2 + 12*k**2 - 2*k + 2*k**2.\nAnswer: 16*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -4*h - 11. Let g be r(-9). Suppose 3*q = g + 5. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 64.8 + -76. Let c = -2690 - -2702.21. Let i = o + c. What is i rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 26.85037 years?\nAnswer: 322.20444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 248953 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -323? (a) 1 (b) -5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -593*z - 3*z**3 + 25 + 23 + 593*z.\nAnswer: -3*z**3 + 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, l: 14}. Give prob of picking 1 y and 1 l.\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - 0. Let y = l + 25. Is 18 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10001210102 (base 3) to base 8\nAnswer: -165704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 630.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*x = -20, 0*x - 15 = -2*u + 3*x. Let h be 2 - u*3\/12. Solve -3*s = h*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -0.2, 1.9, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 23 + 8 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5605, 5593, 5567, 5521, 5449?\nAnswer: 5345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of -n**4\/12 - 2*n. Let b(h) = 4*h + 2*h**2 - 4*h. What is o(b(j))?\nAnswer: -4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.94496 - 0.05504. Suppose 20 = -2*v + 7*v. Let z be ((-6)\/(-4))\/((-12)\/v). What is the smallest value in -3, z, s?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 13*b**2 - b - 4. Let p(u) = u**3 - 5*u**2 - 16*u + 1. Let h be p(7). Calculate the remainder when 62 is divided by t(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1172 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**2 + 0*y**2 + 4*y**2)*(5*y - 4*y + y)*(-53*y**2 - 54*y**2 + 91*y**2).\nAnswer: -32*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*d - 12 = 66*d. Let y(k) = -k - 5. What is y(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - -85159511.155027.\nAnswer: 85159510.755027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 q when four letters picked without replacement from {q: 13, b: 5}?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -23082.\nAnswer: -23082, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*j - 156*j + 22*j to the form k*j + u and give k.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 709.85561 from -5.1782.\nAnswer: -715.03381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 25721129 to the power of 1\/3, to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 19163543 to the power of 1\/2, to the nearest integer?\nAnswer: 4378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of 2 + b + 0*b**2 + 2*b**4 - 2\/3*b**3. Calculate z(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -4*o**2 - 10*o - 10. Let n(g) = g**2 + 3*g + 3. Let y(b) = -3*f(b) - 10*n(b). Let d(s) be the second derivative of -31*s**4\/12 - 3*s. Give d(y(i)).\nAnswer: -124*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -39 - 6c?\nAnswer: -a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/264 and -167\/336.\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -5*z + 0*z + 4*z + 1. Let k be v(-3). Let y = -3 + 5. Solve -21 = -k*d - c, -3*d - y*c + 15 + 2 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 4*d + 12, 3*j - 12 = -0*j - 2*d. Suppose j*w - 10 = -w. Suppose 4*b - 16 = 0, -5*o + 3*b = -w*o + 15. Is o less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2*(sqrt(5) + -2*sqrt(5) + sqrt(5)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12\/31 in -5, 4\/7, -2\/29, 30?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.98 - 259.02. Let f = u + 263.9. Let p be 0\/(2 + 8\/(-2)). Which is the nearest to f? (a) 0.2 (b) p (c) -0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 53304105 and 50790?\nAnswer: 106608210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(2\/35))\/u)\/(u*u**(-9)))\/(u\/u**(3\/19)*u*u)**(-16) assuming u is positive.\nAnswer: u**(35598\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -5*y**4\/22 + 16*y**3\/33 + 4*y**2\/11 + 3. What is o in k(o) = 0?\nAnswer: -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 8 + u)*(u + u - 3*u) as t*u + z*u**2 + q and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 3 - 4)*(-5*j**2 - j**2 + 4*j**2) - 2*j**2 - 4*j**2 + 4*j**2 as a*j + b*j**2 + l and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88 + 88*m**3 - 108*m**3 + 65*m**3.\nAnswer: 45*m**3 - 88","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.588 less than -1?\nAnswer: -0.412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -138434 and 8748501.99.\nAnswer: 8610067.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - ((2 - (8 + -3)) + 6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 3720.\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8820?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4245421 to the nearest integer?\nAnswer: 2060","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/5*s**4 - 12\/5*s - 8\/5 + 12\/5*s**3 + 4\/5*s**2.\nAnswer: 4*(s - 1)*(s + 1)**2*(s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3123*x**4 + 3687*x.\nAnswer: 37476*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*p**2 - 1 + p**2 + 3*p**2)*(6*p - p - 4*p)*(582 - 1597 + 438).\nAnswer: 577*p**3 + 577*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/2*180\/(-27). Let x(m) = -m**3 - 11*m**2 - 10*m + 2. Let c be x(i). Suppose c*z - 110 = -3*z. Is z a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200)\/sqrt(100))\/(sqrt(10) - ((sqrt(10) - sqrt(90))*-6 - sqrt(10)))*6*-2 + 2)**2 + 1.\nAnswer: 24*sqrt(5)\/25 + 661\/125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -6*f**2. Let i(r) = r**2 + 4*r - 6. Let u be i(-6). Let b(a) = -6 - a**2 + u. What is b(h(l))?\nAnswer: -36*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6 - 4*m - 2 + 15*m**3 - 4 wrt m.\nAnswer: 90*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 356 and 801.\nAnswer: 3204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -8*s + 4*s + 2*o, 15 = -4*s - 2*o + 13 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l - 1. Let h be b(-7). Suppose -h*w + 16 = -2*w. Put 5, w, 2\/3 in increasing order.\nAnswer: 2\/3, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 404671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44\/11 - (2 + (-100)\/(-35)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sbggdce. What is prob of picking 2 d, 1 g, and 1 b?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 6:05 AM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 25*o**2 + 3*o + 21. Let l(i) = -24*i**2 - 2*i - 22. Let y(c) = -3*l(c) - 2*x(c). What is the derivative of y(p) wrt p?\nAnswer: 44*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**2 - 26 + 2*q**2 + 10 + 3*q**2 - 13.\nAnswer: 2*q**2 - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 155 (b) 2 (c) -37\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -6*l. Let h(a) = 2*a. Let y be 3*(14\/6 + (-8)\/12). Let c(r) = y*b(r) + 16*h(r). Let z(i) = i**2. Calculate c(z(o)).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (4 + 1*sqrt(832) - (-4 + sqrt(832) + -4)))*-5)**2.\nAnswer: 2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 11*b - 19*b - 21 + 2 + 12*b. Let v be o(6). Suppose -4*j + 2*r + 68 = 0, -4*j = -v*j + 5*r + 17. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -258.2 and 80.7.\nAnswer: -20836.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-100)\/(-30))\/(-10))\/((-2)\/66).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 356*f - 390*f + 340 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 2*r**2 - 3. Let z(p) = p**3 - p**2 + p. Let g(d) = -m(d) - 2*z(d). Give g(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 3. Suppose -q = -0*h - 3*h + 19, -5*q - 78 = 2*h. Let g = q + 32. What is the greatest common factor of g and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9.4 - -8.2. Let w = r - -1.19895. What is w rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) 15 (b) -5\/4 (c) 0.079\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -140 - (1 + 5 - (318 - 295)).\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -46, -213, -1\/2, 1\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -1, 3, 0, 10.\nAnswer: -1, 0, 3, 10, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 289 in -1\/2, -4, 3, -5\/163?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.21, -330, 0.2, -5 in increasing order.\nAnswer: -330, -5, -0.21, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 493.3 + -91825208.\nAnswer: -91824714.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 53215615 + 2?\nAnswer: 53215620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7523, -7522, -7521, -7520?\nAnswer: -7519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-7)\/s)\/s**(3\/5)*((s**0*s)\/s)\/s**(-1\/2) assuming s is positive.\nAnswer: s**(-81\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 2*r - 6)*(r**2 - r**2 - r**2) - 3*r**3 - r**3 + 5*r**3 + (0*r**2 - r**2 + 0*r**2)*(3*r - r - r).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*k**5 - 43*k**4 + k**3 - 15245*k**2.\nAnswer: 600*k**2 - 1032*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + d = -5*p + 70, 2 = d - 3*p. What is the remainder when 87 is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.8149799 to one dp.\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1573164757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 59944\/18 + ((-2)\/9 - 0). What is w rounded to the nearest 100?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3146 (base 13) to base 3\nAnswer: 100100112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 129\/7 less than 11\/65079?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 0.1 (c) 1 (d) -1570\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 14) to base 12\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 12*q - 9 + 356746*q**2 - 2*q - 2*q + 5*q. Let j be r(-7). Suppose 2479546 = -4*s - j. Round s to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1820050019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/2 (b) -36\/11 (c) -3\/4 (d) -3\/2 (e) 5 (f) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 4)*(-4*c**2 + 34*c**2 - 17*c**2) + 0*c**2 - 3*c**2 + 4*c**2.\nAnswer: 14*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 - 5*l**2 + 4*l**2)*(-7*l - l**2 + 18*l - 6*l).\nAnswer: -l**4 + 5*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 5*t**2 + 7*t - 7. Let d(x) be the third derivative of x**5\/30 + x**4\/8 - x**3\/2 + 5*x**2. What is 9*d(g) - 4*s(g)?\nAnswer: -2*g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 138 - -27. Let k be (-4)\/(-6)*(-135)\/(-6). What is the greatest common factor of k and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2. Let o(v) = -3*v. Let d(m) = 413*m - 119. Let p(y) = -7*y + 2. Let g(c) = -6*d(c) - 357*p(c). Let i(f) = 4*g(f) + 27*o(f). Calculate n(i(b)).\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of l**4\/4 + 13*l**3 - l**2 - 38*l. Let o be n(-12). Solve 2 = -t + o for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23920939 to the nearest one thousand.\nAnswer: -23921000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 226 a factor of 185772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of -3*k**2 + k**2 + 1 + k**2. Let i(z) = -z. Calculate f(i(c)).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1185*i + 142 + 149 - 309 - 1160 wrt i.\nAnswer: -1185","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5365421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, l: 2, s: 2}. Give prob of sequence sjll.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l - 5*s = -11209 + 11195, -3*l + 6 = -5*s for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 + 8*o + 55. Let p be v(11). Let d = 79 + -13. Let l be (2\/(-3))\/((-4)\/d). What is the greatest common divisor of l and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m**3 + 4*m**2 - 4. Let y be 12 - ((6 - 1) + 0). Let p(w) = 2*w**3 - 3*w**2 + 3. What is y*p(u) + 5*f(u)?\nAnswer: -u**3 - u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of 0 + 0*g - 1\/30*g**5 - 91*g**2 + 0*g**3 - 1\/2*g**4 - 3\/40*g**6. What is the third derivative of c(w) wrt w?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18144?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -768640 divided by -12010\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 18*l + 39. Determine b(13).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3299, -3298, -3299, -3302, -3307, -3314?\nAnswer: -3323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 905 = 26*y - 928 + 1781 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222*l + 227*l = 5*r, l = -3*r + 20. Put -43\/5, 1\/2, l, 0 in ascending order.\nAnswer: -43\/5, 0, 1\/2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.019371 rounded to four decimal places?\nAnswer: 0.0194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 4*d - 35*t - 58*t + 240 = -71*t, -3*t + 30 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -3, 3\/4, -1524, 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-3*(-2 + -1 + -3 + 4*sqrt(700) + 3).\nAnswer: -27 + 360*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -0.83\nAnswer: 1.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23489\/90465 - 16\/815. Let p = y + 7631\/26529. Is -1 >= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1292 * -3\nAnswer: 3876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 10, 4, 14 in increasing order.\nAnswer: -2, 4, 10, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b*l*s**3*y - 4*b*l*s**2*y**2 + 2*b*l*s**2 - b*l*y - 12*l*s**3 + 3*s**3*y**2 wrt y?\nAnswer: -8*b*l*s**2 + 6*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 595\/(-2) - 2\/(-4). Let j be 1 - -1 - s\/(-2920). Let f = j + 1\/584. Find the common denominator of f and 121\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 98 = 2. Suppose -3*u = -4*l - 21, 0*l + 40 = 5*u - 5*l. Calculate the remainder when v is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(448) + sqrt(448))*-1 - (sqrt(448) + sqrt(448) + (-3*sqrt(448) + sqrt(448) - sqrt(448) - sqrt(448)))**2*4.\nAnswer: -7170 - 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -25*h**4 + 11462*h**3 + 791509?\nAnswer: -100*h**3 + 34386*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/14)\/(4\/(-56)). What is the greatest common divisor of 4 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2122 is divided by 997.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - 2*j. Let d be u(0). Solve d = -14*y + 16*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 9923d?\nAnswer: 9923d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-91 - -88)*(-3 + -2 + -5354). What is the highest common divisor of d and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + 2 + sqrt(175) - sqrt(175))**2*-5 + 6*(sqrt(567) + -2)*-3 + -5.\nAnswer: -162*sqrt(7) + 301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6, 5, -2256 in decreasing order.\nAnswer: 6, 5, -1, -2256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2. Let p(q) = 3*q**2 + 31*q + 4. Let r(m) = -4*m**2 - 32*m - 5. Let o(h) = -5*p(h) - 4*r(h). Give z(o(i)).\nAnswer: i**4 - 54*i**3 + 729*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*f = -f - 4, 2*u + 2*f = 0. Let n be u\/5 + (-252)\/(-70). Suppose n*l + k = 6, -2*l + 5*k = -3 - 11. Solve -l + 0 = a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 - -37. Solve 2*p + b = -p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**(1\/10)*g))\/g**(1\/2))\/((g*g*g**(2\/17))\/(g\/(((g\/(g**10*g)*g)\/g)\/g))) assuming g is positive.\nAnswer: g**(789\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/129, 0.424, 5, -3, 1\/2.\nAnswer: -3, 1\/129, 0.424, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -48100 divided by -74?\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -17*b - 36. Let m(o) = 2*o. Determine -2*h(p) - 18*m(p).\nAnswer: -2*p + 72","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-2))**33*(t**(1\/2)*t*t)**(-20) assuming t is positive.\nAnswer: t**49","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-2)*2 + 48. Suppose -6 = -3*b + 3*i, t = 5*b + 5*i + 9. Let s(g) = g**3 - 5*g**2 - 2*g + 7. Let h be s(b). Do h and -5\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -207 + 1661\/8. Let c be 16\/(-20) + 1116\/720. Factor -c*m + 1\/8*m**3 - k*m**2 + 0.\nAnswer: m*(m - 6)*(m + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 + -28. Solve -3*v = 6, 2*q - 4 = g*q + 2*v for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25138434 to the nearest integer?\nAnswer: 5014","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -60, -59, -58?\n\"Answer: b - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of 1597*x**5\/5 - 3229*x**4\/6 - x + 501. What is the third derivative of b(s) wrt s?\nAnswer: 38328","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3534211 to the power of 1\/3, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 62 + 7. Let p(m) = -10*m**2 - 5. Let d(u) = -2*u**2 - 1. What is k*d(y) - 2*p(y)?\nAnswer: -2*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**4 - 1400*u**3 - 147000*u**2 - 6860000*u - 120050000.\nAnswer: -5*(u + 70)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-7 - (1 - 1)). Suppose 3*a - 4*a + 2 = 0. Is a less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 1022*l + 8212. Determine j(-8).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (3 + 9 + -5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 - n**2 + 8*n + 3. Determine b(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.8? (a) -2 (b) -1\/2 (c) -0.01 (d) -0.064\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-26 - -22) + 2432 + -3 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 96.58 - 88.58. Which is the nearest to 5? (a) 2\/3 (b) -17 (c) 5 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30980.\nAnswer: 2, 5, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -41326 (base 7) in base 2?\nAnswer: -10011110000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 4*p + 3*p + 3*p - 6*p + p + 0*p - 2*p + 0*p + (2 - 2 + p)*(1 - 4 + 2))*(5*p**2 - p**2 - 2*p**2).\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67 - 51 = -4*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ckkkccckkccicckikk. Give prob of picking 1 i and 3 c.\nAnswer: 28\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4071930 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9253\/6 + 1544. Let i(u) be the third derivative of 2\/105*u**7 + 0*u**4 + 0 + 0*u + 0*u**6 + 9*u**2 - k*u**3 + 0*u**5. Differentiate i(o) wrt o.\nAnswer: 16*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1612237757?\nAnswer: 13, 47, 2638687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2643, 5963, 10775, 17829, 27875, 41663?\nAnswer: 59943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q**3 + 9*q**3 + q**3 + 9*q**3.\nAnswer: 20*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -8*(2 + 0)\/2. Let o = t - -11. Suppose -o*g - 4 = -10. Calculate the remainder when 3 is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 2 = -q, -2*f + 2*q + 16 = 0. Which is the closest to f? (a) -0.3 (b) -3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 942 = 2*k + 2423, 4*k = -5*i + 2439. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54747.\nAnswer: 3, 7, 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 21427 (b) -0.1 (c) -3\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 53994 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 386133?\nAnswer: 3, 11, 11701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 586380274 a multiple of 133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4829085 - 1633.\nAnswer: -1632.5170915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 u, and 1 q when three letters picked without replacement from {u: 1, q: 2, n: 3, f: 1, b: 3, w: 5}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(1\/7))**(-20\/9)*(w\/((w*w\/(w*w**(2\/11)))\/w))**(-24) assuming w is positive.\nAnswer: w**(-21416\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by 212.\nAnswer: -5\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/19747 and -62\/63.\nAnswer: 177723","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u**(-1)\/u)\/u**(-8\/5))**(-1\/4))**(3\/19))**44 assuming u is positive.\nAnswer: u**(66\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -13935.\nAnswer: 1\/13935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12944, -24857, -36770, -48683?\nAnswer: -60596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 5*n - 8*n - 4, 8 = -4*t. Put 0, n, 1, -3.3 in decreasing order.\nAnswer: 1, 0, n, -3.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**3 - 15*s**2 + s**3 - 11 + 12. Suppose a = -0*a + 9. Calculate the least common multiple of z(-15) and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53 + 156 - 59 - 13*t - 44.\nAnswer: -13*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 13*v. Let l(m) = -300*m. Let s(i) = -70*b(i) - 3*l(i). Let q(z) = 4*z. What is q(s(y))?\nAnswer: -40*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -6*u + 2. Let k(q) = -11*q + 3. Let t(p) = 5*c(p) - 3*k(p). Give t(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 204053?\nAnswer: 419, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1031317*g**4 - 3*g**5 + 1031299*g**4 - 144 + 108*g**2 - 2062634*g**4 - 3*g**3 + 60*g = 0 for g.\nAnswer: -4, -3, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1111323243 (base 5) to base 7\nAnswer: 26545461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 69*q + 64*q = 2, 0 = -6*v + 2*q + 20. Solve -v*k + 62 = -l + 69, 3*l = -4*k - 11 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 73, 2\/5, 573\/4, -1\/7, 44\/9?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/11 (b) 16 (c) 0.00574 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 5*z**2 - 5*z**3 + 3*z**3 + 4*z**3 + 88015*z**4 - 87997*z**4 in the form g*z**3 + u*z + t*z**2 + k + r*z**4 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 113 - 127 = 67*t + 156 + 2, 3*z + 3*t + 15 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 75 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/4*-2 + 4. Let t(s) be the third derivative of -s**6\/120 + s**5\/15 + s**4\/6 + s**3\/2 + 79*s**2 - s - 10. Give t(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 71.55424 to the nearest integer.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2155829 by -6.\nAnswer: 2155829\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -11698 - 7440*i**2 - 11701 + 23398 in the form q*i**2 + v + p*i and give q.\nAnswer: -7440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56 and 88?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 6:06 PM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 3*j - 15. Suppose 25*a = 52 + 35 - 12. Determine x(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3*r**3 + 7*r**2 - 2*r + 11. Let d(u) = 2*u**3 - 7*u**2 + 3*u - 11. Let i(x) = 4*d(x) + 3*k(x). Calculate i(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-3)*4\/(-16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/312 + 31\/(-403)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 814 and 333?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 45*y - 6*y**5 + 2*y**4 - 45*y + (-3*y + 2*y + 2*y)*(2*y**4 - 3*y**3 + 3*y**3).\nAnswer: -4*y**5 + 2*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a + -5306ab9?\nAnswer: -5306aad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/(-3)*((19 - (-602)\/(-28)) + 1).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -63.0292 - -63. Round v to three dps.\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 18 = -38. Suppose -q*p + 16*p = -214. Let u = -96 - p. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from egmbrrrgygyegr. Give prob of sequence rgb.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -0.2, 0.484, 161?\nAnswer: 0.484","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -33688 - -0.8?\nAnswer: -33687.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33540?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 1 = -11. Suppose l*t = -6*t + 3108. Let u = -75 + t. Is u a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-166 + 166 + 30*r**2)*(5 + 12*r**2 - 1 - 3).\nAnswer: 360*r**4 + 30*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 3 + 25. Let l be 4\/14 - (-38)\/u. Let h be 30\/(-105) - (-46)\/14. Solve -h*s + 3 = -l for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -714 (c) -3885\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3075.2 and -449.\nAnswer: 2626.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 x when four letters picked without replacement from {c: 11, x: 3}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 3.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 43469232427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/(-10) + (-4781)\/420 and (8\/2 + -17)\/(-108)?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -8593, -17177, -25721, -34225, -42689, -51113?\n\"Answer: 20*o**2 - 8644*o + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 921, 5, 0, -10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -10012022120002212?\nAnswer: -10012022120002222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 + 2*z**2 + 2*z**2)*(360 - 360 + z) + 0*z**3 + 4*z**3 - 5*z**3.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 != -141\/55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -114, -456, -1026, -1824, -2850, -4104?\nAnswer: -5586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286889 is divided by 468?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -88 + 312. Let f = h - 219. Let c(r) = r**3 - 2*r**2 + 3*r - 3. Let b be c(2). Solve -x + 13 = f*q, 2*q + 3*q = -b*x + 19 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 92\/8*(-4)\/(-2) + 2. Let o = -42 + s. Let d(a) = a**2 + 11*a + 11. What is the hundreds digit of d(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27964 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 0*b = h + 88, 2*h + 189 = -3*b. Let p = -95 - h. Which is bigger: p or -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -60 + 310. Let o = t + -232. Calculate the greatest common divisor of 54 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/sqrt(98) + sqrt(14) - (sqrt(14) + sqrt(70)\/sqrt(405)))\/((sqrt(1008) - (sqrt(1008) - 1*sqrt(1008)))*-2 + sqrt(1008) - -2*sqrt(1008)*-2).\nAnswer: -sqrt(2)\/1890","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - 0)*5*(-4)\/5. Find the second derivative of a**z + 0*a**4 - 106*a + 119*a wrt a.\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 54 + 18. Does 38 divide 1 + k + -2 + 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*-1*42\/7?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/7, 1, -13\/281, -3\/4, 0.4, 19?\nAnswer: -13\/281","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2213350?\nAnswer: 2, 5, 44267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 0 + 3*o + 0 - 5*o. List the prime factors of l(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248495 is divided by 1679?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/5, -5, 0.4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 2694, 2, 0 in descending order.\nAnswer: 2694, 5, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**3 + 204*h**2 + 2*h - 201. Let x be l(102). Factor 0*r + 1\/8*r**x + 0*r**2 + 0.\nAnswer: r**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-170)\/306 + 132\/(-54) - (-82)\/14?\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 106.\nAnswer: -3\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*l**2 + 22 - 22)*(0 - 1 + 2)*(2*l - 2*l + 2*l)*(0 + 2 - 3).\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 5*d = -26, -44*x + 41*x = 2*d. Sort -17, x, 2, 3, 3\/5 in descending order.\nAnswer: 3, 2, 3\/5, x, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**3 - 6*p**2 - 14*p + 219. What is n(0)?\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + sqrt(2)*-3 + 5 + sqrt(2) + -1*sqrt(72) + (4*sqrt(242)*-5 + -1)**2.\nAnswer: 433*sqrt(2) + 96806","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -32*i**2 - 15*i + 10. Let a be p(4). Let q be (116\/87)\/(a\/3). Which is smaller: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -415 (base 10) to base 13\nAnswer: -25c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 137 + -165. Let t = 91 - 132. Let o = t - r. What is the second smallest value in 0.4, 1\/4, o?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -70 and 8.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 9774005 (base 10) to base 8\nAnswer: 45221665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 1207437?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, c: 6, b: 2, n: 3}. Give prob of picking 1 u, 2 b, and 1 c.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 + 14*m - 35. Let g be z(10). Let v = 17 + -12. Suppose 305 = g*o - 5*y, 3*o - 3*y + v*y = 168. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/3)\/(8\/(-48))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*u + 98 + 27 + 163 = 0 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -1056*t + 9. Let r be m(0). Solve -5*p = r*g - 11*g - 6, 4*p - 5*g = 15 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-x - 7*x + 1 - 18*x)*(3 + 2*x - 3) to the form j*x**2 + w + z*x and give j.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 24, 1\/7, 0.06, -5, -0.5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6731260713 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3*u**3 - 5*u**2 - 5. Let q = 3 + -2. Let y(z) = 11*z - 3. Let v be y(q). Let j = -16 + v. Let a(g) = 5*g**3 + 8*g**2 + 8. Give j*t(x) - 5*a(x).\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d**5 + 327*d**3*o**2 - 10*d*o**2 + 7*d*o wrt d.\nAnswer: -20*d**3 + 1962*d*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 - -23. What is the closest to 0.1 in -3, c, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-4\/5)\/h**6*((h**7*h)\/h)**(-42) assuming h is positive.\nAnswer: h**(-1504\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 13*g**2 - 16*g - 4. Let h be q(-12). Let f be 2\/9 + h\/(-36). Sort -5, f, 50 in ascending order.\nAnswer: -5, f, 50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 + 1 - 2 + 9*b**3 as c + r*b + q*b**2 + k*b**3 and give k.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (4 - 3 - -3) + -8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1257\/1307?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5203, -4868, -4433, -3850, -3071, -2048, -733?\nAnswer: 922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -10*i**3 - 6175*i**2 - 60840*i - 54675 = 0.\nAnswer: -1215\/2, -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 310 - 236. Suppose o - 410 = -21*p. Solve 4*l - 2*c = -22, 2*c = 4*l + 6*c + p for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*((-1)\/(-2)*-1)\/(285\/(-114)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -446\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of -43*f**8\/168 + f**7\/210 + 3*f**4 - f**3\/6 - 3*f**2 - 9. What is the second derivative of u(k) wrt k?\nAnswer: -1720*k**3 + 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 159\/51 + 4\/(-34). Let j be -5 + 4 + p + -4. What is the smallest common multiple of j*(-2)\/5*(-10)\/(-2) and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 616.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -67\/6*q**3 + 0 - 152*q - 33*q**2. Find the first derivative of b(s) wrt s.\nAnswer: -67","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17.5 + -15. Let v = -0.6 - w. Let f = v + 3.4. What is the second smallest value in -5, -2\/17, f?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 607*u - 368*u**3 - 170*u**3 - 2 + 126*u**3 + 2*u**5 + 1269*u + 0*u**5 wrt u?\nAnswer: 40*u**3 - 2472*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-5)\/(k*k**8))\/((k**12\/k*k*k*k)\/(k*k*k*k**(-34)*k)))**(-27) assuming k is positive.\nAnswer: k**1566","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 3523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 501 + -25?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6940285 to the power of 1\/4, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2, 22, 4, -3, -82 in decreasing order.\nAnswer: 22, 7, 4, 2, -3, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {u: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -859865651 divided by -5?\nAnswer: 859865651\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m = -2583 - 317. Is m a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7405870?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -8408, -5, 18 in increasing order.\nAnswer: -8408, -5, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 18 - 2 = 0. Suppose 29 = -3*z - 2*o, -25 = -3*o - 2*o. Let r be 2\/z + (-67)\/(-13). Solve -3*g - r = x*i, -3*g - 3 = -i - 4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 6*c - 645. Suppose 4*g - c = 635. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2309 times -0.2\nAnswer: 461.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 4, -5, -2 in descending order.\nAnswer: 6, 4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b + 18. Let l be v(-18). Solve 0*c + l + 2\/9*c**4 - 2\/9*c**2 + 0*c**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 10*c + 16 = 0, -3*c = -4*g + 268. List the prime factors of g.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1065*h + 1193*h = -256 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 615107437 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -14*o**2 + 10*o + 36. What is the derivative of u(j) wrt j?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**2. Let t be h(1). Let w be (t\/(-1))\/(1\/(-2)). Suppose -w*s + 36 = 5*n, -4*n = 5*s + 4 - 40. Solve 0*f - 16 = 4*g + n*f, -5*f = 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -865 - -519. Let c = 246 - k. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 2. Suppose -365 = -j*u + 499. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of r**4\/21 - 12*r**3\/7 + 162*r**2\/7 - r + 20. Factor v(t).\nAnswer: 4*(t - 9)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -530*g**2 - 554*g**2 - 549*g**2 + 1626*g**2.\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (6 - 5) - (8 - 3).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3609385 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - 0. Let q = -0.3 - -0.6. What is the nearest to 1\/4 in 4, q, l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 6*y**2 - 3*y. Let p be o(-6). Let b = -16 + p. Solve b*j = -3*q + q - 6, 5*q + j - 5 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 309118.\nAnswer: 2, 127, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-216)\/(-81) - 11375\/(-195).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*v - 4 - 204*v + 14*v - 6*v in the form r*v + n and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 2*i - 3*i)*(0*i**2 - i**3 + 0*i**2) + 19*i**4 - 5 - 4 - 17*i**4.\nAnswer: i**4 - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbbbb. What is prob of sequence bb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 16, -2\/7, 25, -1, 2\/13?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2566491857?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*g*q + 4822*g - 12728*q wrt g?\nAnswer: -3*q + 4822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -2\/7 (b) 605 (c) 12 (d) -312\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 20*s**5\/7 - 43396*s**4 - 1032992*s**3\/7 - 138896*s**2 - 243072*s\/7 = 0?\nAnswer: -2, -1, -2\/5, 0, 15192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -2. Let s be (w*-1)\/((-8)\/28). Let l = 11 - s. Solve 2 + 2 = -l*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18085 divided by 13?\nAnswer: 18085\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 368951.3 years?\nAnswer: 36895.13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2 - 7 - i - 3 + 9. Let u be h(4). Let w(q) = -9*q + 30. What is the tens digit of w(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -63 and -62 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 0*g - 4. Suppose -4*j + 32 = g*r - j, -5*r + 37 = 3*j. Suppose -4*b + r*b - o - 1042 = 0, -3 = o. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -9. Let d(m) be the first derivative of 0*m**3 + z*m - 1\/14*m**4 + 0*m**2 - 1. Solve d(s) = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8106, 17073, 26040, 35007?\nAnswer: 43974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1184 and 2812?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((z*z**(-4))\/z)\/z**3)**(22\/9))**(-7\/6))**(6\/7) assuming z is positive.\nAnswer: z**(154\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 159 = -3*g, 0 = -2*g - 4*r + r + 105. What is the remainder when g is divided by 40?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -415*k + 566*k - 1479*k = 2778*k - 406494 for k.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100670 divided by 5.\nAnswer: -20134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 8*x**2 + 3*x - 11. Let u be h(-6). Let q = -96 - u. Let f = q + 7. Solve 0*o = o + 3*k - 6, -f = 3*o - k for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(2)*1 - ((sqrt(2) - ((-2*sqrt(2))**2 + sqrt(2))) + 5).\nAnswer: 3 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -170, -371, -640, -971, -1358, -1795?\nAnswer: -2276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7064466191?\nAnswer: 7064466191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g. Let z = 0 - -2. Let x(l) = 16*l**z + 6*l**2 - 19*l**2. What is h(x(o))?\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 2)*(0*s**2 - 6*s**2 + 5*s**2)*(2*s - 2*s**2 - 2*s).\nAnswer: -4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8373 = -7*b - 22308. Let l = b - -56931\/13. Find the common denominator of l and -34\/11.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - 7*v - 10. Let u be x(-6). Which is the third biggest value? (a) u (b) 5 (c) -3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) 32 (c) -1\/5 (d) 4\/3 (e) -7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iz when two letters picked without replacement from {z: 2, i: 3, r: 3, u: 1, x: 1, p: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 205200 and 162.\nAnswer: 615600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12\/2 - (-14 - (0 - -4815))?\nAnswer: 5, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -155438 or 154\/9?\nAnswer: 154\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 10*j**2 - 7*j - 9. Let p(q) = -15*q**2 + 11*q + 14. What is 8*g(w) + 5*p(w)?\nAnswer: 5*w**2 - w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 527.\nAnswer: -5\/527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 247766 divided by -2881?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34190, -68593, -102994, -137393, -171790, -206185?\nAnswer: -240578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 8*y**2 + 6 + 0.\nAnswer: -8*y**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -12*f + 16*f. Let k be f + (-1)\/(-2)*6. Suppose 12 = u - 3*p, -4*u + k*p + 32 + 16 = 0. Solve 4*n - 2*v = -3*v + 12, -u = -4*n + 4*v for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23667*q*w - 20986*w wrt q.\nAnswer: 23667*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*60\/32*((-96)\/9)\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.006 and -3.4.\nAnswer: -3.406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 5*s**2 - 3*s + 9. Let r be f(6). Solve t - 3*m = 7, 3*t + r = -6*m + 3*m for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 8 + 28 = 0. Calculate the highest common divisor of 5 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-33) + (-895632)\/(-13101)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**2 + 2\/5*i**4 - 2*i + 2*i**3 - 12\/5 = 0.\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6250 by -1.\nAnswer: -6250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13486819, -13486821, -13486823, -13486825?\nAnswer: -13486827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of q**4\/8 + q**3\/6 + 2*q**2. Let o be l(1). Suppose -a - 19 = -o*r, 0 = -5*a - 4 - 11. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17086 is divided by 76?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010001011010 - 111101101111?\nAnswer: 10011101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -15, -577 in ascending order.\nAnswer: -577, -15, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12409.\nAnswer: 12409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*i**2 - 15*i**2 - 5*i + 5*i as n*i**2 + p*i + r and give n.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2, -34, 43, 3, 0.3?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + (-2)\/2 + 86. Suppose 2*x = -5*a + m, 3*a = -3*x - 0*x + 54. Solve 4 + a = -4*d, -4*i = 4*d + 36 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(160)\/sqrt(4))\/sqrt(8).\nAnswer: -5 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o + 10. Let f be d(6). Suppose 0 = 6*n - 7*n - f. Put 1, -2, n in ascending order.\nAnswer: n, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 + 13*m + 31. Suppose -2*g + 32 = 2*g. What is the least common multiple of g and z(15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2. Let q(o) = 9484618 + 679*o - 9484618 - 220*o. Calculate v(q(k)).\nAnswer: -210681*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + n + 3 = 0, 19 - 4 = 3*n. Suppose 9*z - 1469 = s*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4*r - 3. Let l be n(3). Suppose 3*p = l, 3*p = -5*y + y + 37. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -23*w**3 - 2*w**2 - 6*w - 5. Let k be m(-2). What is the third derivative of 93*i**2 + i - k*i**2 - 81*i**5 + 101*i**2 wrt i?\nAnswer: -4860*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(5 + 3)*(41 + -40).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*1\/(-2 - -1). Let b = -880 - -871. Let w be ((-12)\/18)\/(s\/b). Which is smaller: w or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -191 or -190?\nAnswer: -191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90 and 1854.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 4*f - f - 12 = 0, 3 = n + 4*f. Solve 20 = 3*p + 5*g, -n*p + 8*p + 5*g - 30 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13401998 and 123?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 14*j**2 + 2*j - 14. What is the units digit of p(14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 + 25. Let h be -4*1\/(-2) - f. Solve h*i - 20 = 5*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 665 times -56279\nAnswer: -37425535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33040 + 33039.947706. What is o rounded to 3 dps?\nAnswer: -0.052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-6)*t)\/t**(-5))\/(t\/(((((t\/t**0)\/t)\/t)\/t)\/t*t*t))**(-49)*(t\/(t\/t**(2\/25))*t*t**(-4))\/(t\/(t*t**(-2)\/t*t)*t*t*t**2) assuming t is positive.\nAnswer: t**(2227\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -5. Suppose 0 = -33*q - 206 - 184 + 93. Sort -3, q, 1, c.\nAnswer: q, -3, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*m - 112 = -22 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -11179*x**3 - 81*x. Let b(f) = -5590*f**3 - 36*f. Calculate 9*b(r) - 4*n(r).\nAnswer: -5594*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, 1, 62, 177, 364, 641?\nAnswer: 1026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 48 + -44.7. Let o = a + -2. Let h = o - 1.4. What is the nearest to -1\/3 in h, 0.3, -4\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (4 - (7 + -14)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x + 16, -2 + 6 = 63*h - 57*h + 4*x for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of (-20)\/70 + (-20)\/(-7)*5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 25 = 3*g. Put -2, g, 2 in ascending order.\nAnswer: g, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8457584.400171 - 8457490.4. Let x = -92.19 - 1.81. Let z = k + x. What is z rounded to 5 dps?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**3 - 7*h**2 - h - 2. What is the units digit of s(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-600)\/1400)\/((-3)\/14). Let l be -1*4*3\/4. Put l, f, 7, 3 in ascending order.\nAnswer: l, f, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 363 and 9339?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 37*k*q**3*y - k*q**2*y**2 - 26*q**3*y**2 + q**2*y**2 - 8*y wrt k.\nAnswer: 37*q**3*y - q**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8759 is divided by 41.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3467\/8 + -434. Let g be (-24)\/(-3 - (-16)\/3). Let n = 81\/7 + g. What is the common denominator of m and n?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 3 (b) -12521 (c) 3\/5 (d) 88 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46631 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42 - 39. Let x(o) = -o**2 + 4. Suppose 0 = 7*z - 2*z. Let j be x(z). What is the nearest to 1 in j, g, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.4, -0.3, -0.2, 1.08?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 3. Let w be 3832\/958*5\/4. What is the second biggest value in w, v, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/83, -0.4, -42.4 in decreasing order.\nAnswer: -2\/83, -0.4, -42.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 522114400 rounded to the nearest 1000000?\nAnswer: 522000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17001 or -85004\/5?\nAnswer: -17001","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(13\/4 + -3). Let g = -6 - r. Sort -3, -1, g in decreasing order.\nAnswer: g, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 786726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 - 11. Let c = h - 21.5. Let z = 9 + c. Put z, -5, 2\/17 in increasing order.\nAnswer: -5, 2\/17, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17301730?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddfddfhdnfddadhafoao. Give prob of sequence dhdh.\nAnswer: 14\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 472854528 to the power of 1\/2, to the nearest integer?\nAnswer: 21745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**3 - 10*y**2 - 9*y - 9. Let d(g) = -g**2 - g - 1. Let q(h) = 19*h**2 + h. Let t be q(-1). Give t*d(x) - 2*r(x).\nAnswer: -4*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/3436 and -113\/319548.\nAnswer: 319548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 657686627 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 - 2*v + (6 + 8 - 4)*(-5*v + 0*v + 3*v) + v - 4*v + 2*v to u + c*v and give c.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*b + 146*b - 4247 - 3030 = -1349 for b.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.89 + -1. Let s = 0.1136 + y. Round s to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 3. Let g(i) = -i**2 - 2*i + j + 2*i**2 + 4. Let n(m) = -m**2 + m + 3. Let z be n(0). Give g(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/(-16)*(-10)\/25. Which is greater: 2 or a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 52 - 45. Solve 0*b = -3*b - 4*n + 6, 4*b - j = -5*n for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-1 + 2))\/1. Let i = 7289\/23 - 317. Let y = -4.8 - -0.8. What is the second biggest value in i, g, y?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-435)\/(-580)*(-5)\/15\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -80, -723, -1366, -2009?\n\"Answer: -643*r + 563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g - 1. Let f(r) = 19*r + 7. Let w(y) = -y**3 - 4*y**2 + 11*y - 9. Let z be w(-5). Calculate z*j(u) - 6*f(u).\nAnswer: 3*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (850\/(-68) - -14)\/(1\/(-14))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 - (-14 - (-46 - 19)).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -834987500.13009 - -834982558. Let s = 4942 + j. Let k = 0.13 + s. Round k to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9*((-4)\/(-1) - (-476)\/(-96)) and 31\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 115844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, 312, 24, -4\/71, 0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 37*o**2 - 330*o + 3434. Calculate w(30).\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7720 - -7719.93574. Round u to three dps.\nAnswer: -0.064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k**4 + 3*k**4 + 2*k**4 + (-5 + 3 - 15)*(127*k**4 - 1445 + 1445).\nAnswer: -2158*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of -y**5\/4 - 245*y**4\/12 + 505*y**3\/6 - 255*y**2\/2 - 8*y + 19. Find o such that a(o) = 0.\nAnswer: -51, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 88160 to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r - 2 + r**2 - 5 + 7*r**3 + 0*r - 12*r. Let k(g) = -3*g**3 - g**2 + 6*g + 3. Let t(b) = 4*c(b) + 9*k(b). Suppose 0 = -3*h + 4*h - 3. What is t(h)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.835017nm to millimeters.\nAnswer: 0.000008835017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 3 = -6*u. Let h be (9 + -9)\/(-4 + (-6)\/(-3)). Sort u, 5, h in ascending order.\nAnswer: h, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1276114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 333 and 30932397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*h + 174654*h**2 - 174668*h**2 + 1 + 0 to m*h + j + v*h**2 and give v.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 y when two letters picked without replacement from {l: 4, x: 4, m: 1, q: 3, y: 1, p: 4}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 - 4*j + 4. Let d be m(-4). Let b(k) = -3 + 2 - 2*k + d - 2*k**2 - 5. What is b(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -2 + 6 + 1 + (-130 - -133)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-5)\/3)\/((-2)\/6). Suppose 283 = 3*w + 2*i, -406 = -b*w - 2*i + 63. Is w a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9080*j**4 - 161*j**2 + 5*j wrt j.\nAnswer: 217920*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1126 + 360?\nAnswer: -436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 + 35. Solve -c = -g + 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hwhw when four letters picked without replacement from whwhh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-63)\/(-6)*(-18)\/27 + (-4521)\/(-627).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1026284036.\nAnswer: 2, 331, 607, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 3*z - 5)*(4352 + 6*z - 4344 + 7*z).\nAnswer: 39*z**2 + 24*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41\/36 - 8\/9. Which is the nearest to 2\/3? (a) -10 (b) -1\/4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*m, -2*m + 5*m = 2*a + 27. Let b be 4\/3 + (-14)\/a. Suppose b*f = f, 5*f = -4*p + 28. What is the remainder when 12 is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 10:21 AM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y**2 - 21*y + 11. Let i be h(8). Calculate the greatest common divisor of 70 and i.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.0312 (b) 2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/9 + (-3470)\/(-18). Suppose 36*o - 23*o = 39. Suppose -o*m = -n + 50, -2*n - 5*m + i = 38. Does 21 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 197 + -183. Suppose 0 = -8*k + 130 + q. Calculate the least common multiple of 6 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -342, -26, 3, 0, 13 in decreasing order.\nAnswer: 13, 3, 0, -26, -342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 110 + -110. Suppose z = -7*h + 9*h - 314. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25\/112 + -3\/112. Let r = -0.03 - 3.97. Which is the second smallest value? (a) q (b) -1\/6 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 87, 313, 685, 1203, 1867?\n\"Answer: 73*f**2 + 7*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 9:12 AM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 231 + 43?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4282.\nAnswer: 2, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92079987, 92079986, 92079987, 92079990, 92079995?\nAnswer: 92080002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 11222221022100120?\nAnswer: -11222221022100122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 855539 (base 12) to base 10.\nAnswer: 2103741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 159007183 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3418245ml to litres.\nAnswer: 0.0003418245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 34 = -22. Suppose 0 = 2*c + t - 4. Solve n = 5*h + 3, -4*h - c = -2*n + h for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 1516*y + 976. Determine o(-1).\nAnswer: -540","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**3 + 3*z - 270*z**2 - 4*z + 270*z**2 + 4 to the form u + q*z + n*z**3 + x*z**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**9\/(v*v\/(v\/(v*v**(-1\/5))))*(v**1)**(5\/8) assuming v is positive.\nAnswer: v**(313\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, -94, -3 in ascending order.\nAnswer: -94, -3, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 478b1?\nAnswer: 478b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 9 = -3*p. Let g(i) = i**2 - 4*i. Let n(h) = h**2 - 3*h. Let l(b) = p*g(b) - 4*n(b). Let u(d) = -5*d**2. Calculate u(l(x)).\nAnswer: -5*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 136446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20758.3 in -4\/5, 1, 3\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + 16*c + 14. Let z(g) = -3 - 8 - 116*g - 2 + 2*g**2 + 98*g. Let k(x) = 3*o(x) + 2*z(x). Calculate k(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(19\/((-95)\/(-20))). What is the closest to -0.6 in -4, 1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -1. Let w = 3 + -9. Let o(l) = 46 + 47 - 85. Let j(s) = s + 8. Let g(f) = 3*j(f) - 2*o(f). Determine w*d(q) - g(q).\nAnswer: -3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90 and 6750.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 598 in 2\/3, -0.4, 0, 2\/5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n**2\/6 - 241*n\/6 + 1589\/3 = 0. Calculate n.\nAnswer: 14, 227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -1b1dbb?\nAnswer: -1b1dc2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1162\/(-12) - (211 - 223). Is t <= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 2348927.\nAnswer: -4\/2348927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 17691696 a multiple of 3564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a - 24 - 36 = 0 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27920 and 3920.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of -k**4\/4 + 4*k**3\/3 + 5*k. What is the second derivative of r(t) wrt t?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 17648 and 45.\nAnswer: 794160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 6)*(-3*n**2 - n**2 + 5*n**2) + 968*n**2 - 569*n**2 + 184*n**2 + 928*n**2.\nAnswer: 1515*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(-14080)\/510 + 16\/(-408).\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-34)\/(-119) - (-26)\/7. Suppose -305 = -d*t - o, t + t - 150 = 2*o. Is 19 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/2 (b) 0.1 (c) 0.134\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -3*m**2\/2 + 4*m - 1. Suppose -27 = -0*n - 9*n. Let q be c(n). Let b(o) = -o**2 - 6*o + 2. What is b(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/26 and 7\/46.\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*f**2 + 317241 - 317243 - 23*f - 9*f**2 to m*f + h + p*f**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -122913*k**4 - 20066 wrt k?\nAnswer: -491652*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 3fdf?\nAnswer: -3fe2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4197*h**2 + 1311*h**2 + 894*h**2 + 892*h**2 + 1101*h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 7*z**4 - 5*z**2 - 8. Let n(j) = -22*j**4 + 16*j**2 + j + 23. Let t(f) = 7*c(f) + 2*n(f). Find the second derivative of t(q) wrt q.\nAnswer: 60*q**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1367503 and 152261?\nAnswer: 1423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {j: 7, k: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2*h + 9 - 6)*(2*h + 0*h - h)*(0 + 0 - 2).\nAnswer: -4*h**2 + 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2490 divided by -591\nAnswer: -830\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2222212140 (base 5) in base 3?\nAnswer: 100012001002010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 208000 rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 8:44 PM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v - 5490 = -7*v + 373*v for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4017930, 8035868, 12053806, 16071744, 20089682, 24107620?\n\"Answer: 4017938*p - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6306272168 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2471472 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1713411017?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003925 to 4 dps.\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**3 + 2*j**2 + 8*j. Let t be -2 - 6 - (-2 - 0). Let g(n) = n**2 + n. Let l(q) = t*g(q) + o(q). Factor l(r).\nAnswer: 2*r*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5265, -10, 18 in decreasing order.\nAnswer: 18, -10, -5265","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 35.65466 micrometers?\nAnswer: 35654.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(10) - sqrt(250)) + (-3 + sqrt(3))**2 + 5 - -3*(5 + -1*sqrt(300)).\nAnswer: -145*sqrt(3)\/4 + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(100))\/sqrt(10) + (sqrt(90) - sqrt(90)*3))\/(((sqrt(144)*2)\/sqrt(12))\/sqrt(6)*-4).\nAnswer: 3*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 103141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 33 - 352*x + 350*x + 17 - 3 + x + 3 + (-1 - 2*x + 1)*(-2 + 2 + 1) - x + 2*x + x as t + i*x and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -0*p + 2*p. Suppose 5*d + 1263 = -4*f, 3*f - 4*d - 636 = p*f. Let q = f - -443. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -14*j**2 - 4*j. Let h(n) = 5*n**2. What is y(h(w))?\nAnswer: -350*w**4 - 20*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 3:00 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 32, -4.\nAnswer: -4, 0, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1398742049?\nAnswer: 67, 20876747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 24?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -5, 2 in decreasing order.\nAnswer: 2, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1579 and -438.87.\nAnswer: -2017.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-2)*3\/(-2). Let z(c) be the first derivative of c**2\/2 + 2*c - 2. Let j be z(t). Let a(r) = r + 2. What is a(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/z**(-2\/11))*z**(-12\/7))\/(z**(2\/5)\/z)**(-47))**(4\/7) assuming z is positive.\nAnswer: z**(-46348\/2695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -0.2099 in ascending order.\nAnswer: -1, -0.2099, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -6*q + 18. Suppose -4*a - q = -2. Let b(w) = -w**2 - w - 3. Let t be b(0). Is a at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1788*187\nAnswer: 33.4356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r + 4. Let j be w(-22). What is the units digit of 156\/9 + 6\/j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -545, -550, -567, -602, -661, -750, -875?\n\"Answer: -m**3 + 2*m - 546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/7, -267, -165, -3, 6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6899, -6903, -6917, -6947, -6999, -7079, -7193?\n\"Answer: -v**3 + v**2 - 6899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 825266 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3406124*a + 3406538*a - 3312 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 greater than -0.04211?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3*((((sqrt(1584) - sqrt(1584)*-1) + sqrt(1584))*-1 - -4*(sqrt(1584) + -1 - sqrt(1584)))**2 + (-3 + sqrt(1100) + -1 + sqrt(1100) + -1)**2).\nAnswer: 264*sqrt(11) + 56094","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -114 + 124. Let p be (15\/6)\/(b\/6)*-4. Let k be ((-10)\/6)\/((-1)\/(-3)). Do p and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21503 - -3?\nAnswer: 21510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1221220 and 427?\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5734 + -5730. Sort 1, -9, 16, -2, o.\nAnswer: -9, -2, 1, o, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2*-2*sqrt(76) + sqrt(76) + 6*-2*sqrt(76) + sqrt(76)))\/((sqrt(48) + sqrt(1728))\/sqrt(12) - (sqrt(4) - (sqrt(100) - sqrt(4))*-2)).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 23*s + 1 + 1.\nAnswer: -23*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffbffb. What is prob of picking 2 f?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 11) to base 14\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -9*f**2 + 9*f - 486. Let y(s) = 2*s**2 + 12*s + 1. Let o(c) = m(c) + 6*y(c). Find v, given that o(v) = 0.\nAnswer: -32, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - 4*h + 3. Let f be d(-3). Suppose 46 - f = 5*z. Suppose -3*p - 5 = -z*p. Sort p, 0, -2.\nAnswer: -2, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 641 - 637. What is the nearest to -8 in -0.3, -3, 1\/3, v?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -16*i**2 - 160*i + 168. Let j(y) = -21*y**2 - 159*y + 170. Let o(f) = -4*j(f) + 5*z(f). Solve o(p) = 0.\nAnswer: 1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 7*m**2 + 28*m + 22. Let v be l(10). Calculate the remainder when 31 is divided by ((-13)\/39)\/(v\/(-72)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2. Let g(q) = 3*q**2. What is u(g(n))?\nAnswer: 9*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + (-232)\/24)*24\/(-20). Solve 2 = j*t - 12 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 - 38 = 2*c. Calculate the smallest common multiple of c and 0 + 5\/((-5)\/(-18)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -2*i**2\/13 + 1004606*i\/13 - 1004604\/13 = 0.\nAnswer: 1, 502302","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + 5. Is k a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - ((16 - 21) + (-9 - -5))) + -47?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*n**2 - 2*n**3 + 2*n - 3277 + 58*n**2 - 81*n**2 to d*n + z + y*n**3 + v*n**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17140455*c - 4232769.\nAnswer: -17140455","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0.1, 11\/14350, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-4))\/((-3)\/18). Let f(z) = -4*z + 3 + 5*z + 0*z + z - z**2. Determine f(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94\/13 greater than or equal to 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 533454 less than -6847?\nAnswer: -540301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44166*h - 43586*h + 30740 = 0 for h.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -94*g + 89. Let y(c) = c + 21. What is -l(m) + 4*y(m)?\nAnswer: 98*m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48 + -46. Suppose -2*v + 18 = -2*y, -4*y + r*y - 14 = -v. Find the third derivative of a**4 + 0*a**3 + 7*a**2 + 6*a**v + 0*a**3 wrt a.\nAnswer: 168*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 12:19 AM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of 1\/2*l**4 - 46\/3*l**3 + 0*l + 8\/5*l**5 + 0*l**2 - 79. What is the third derivative of q(s) wrt s?\nAnswer: 192*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -5*d - 14 + 17 - 14 - 2*d + 2*d. Let s(k) = -17*k**2. Calculate h(s(c)).\nAnswer: 85*c**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 1. Solve c*q + 0 = 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197769538597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 72679.806 microseconds in hours?\nAnswer: 0.000020188835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 91721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5469.099 centimeters in kilometers?\nAnswer: 0.05469099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffofdodd. Give prob of picking 4 o.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t - 21. Calculate h(-15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 177472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-298 + 350)\/((-2)\/(-3)). What is the greatest common divisor of 2535 and b?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5775, -5, -4, -3 in ascending order.\nAnswer: -5775, -5, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -84721 divided by -41\nAnswer: 84721\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 8*c - 174. What is the remainder when 182 is divided by v(27)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 5:18 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -15 + 2*t**2 - 3*t + t + 2*t**2. Suppose 0 = -o - 1 - 5. Let r(y) = 5 - 2*y**2 + 2*y + 1 + 2 - y. Give o*f(w) - 11*r(w).\nAnswer: -2*w**2 + w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -11*p**2 - 67*p + 206. Calculate w(-10).\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2524 - -4259. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 42*k*z**6 - 13*k + 24*z**2 wrt z?\nAnswer: 5040*k*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-606)\/(-6565)*75\/15*(-1)\/(-1).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, n: 1, p: 4, r: 1}. Give prob of picking 1 r and 1 n.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -8*d + 1. Let q(i) = -17*i + 2. What is -13*m(s) + 6*q(s)?\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40 or -39?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = z - 30, 2*z = 14*y - 12*y for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/56 + (-78)\/273 and 29\/(-5) - 1\/4.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1221 + 1244. Solve -3*m - 12 = 0, -3*m - a - 4 = 5*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2154 + -1195. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from lvlzv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 3:45 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 2*h + 5. Let n be x(0). Suppose 0 = n*y - 24*y + 95. Solve -3*k - y*a + 8 = -3*a, -5*a + 20 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**4 + 2968*d**3\/5 + 205956*d**2\/5 - 429624*d + 421362\/5 = 0. What is d?\nAnswer: -153, 1\/5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, o: 1, m: 1}. Give prob of picking 1 o and 1 m.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2. Let l(y) be the first derivative of 7*y**2\/2 - 7. Determine l(w(h)).\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*g*q**2 + 7*g*w + 3*q**4 - 6559*q**2*w - 21*w + 15 wrt q?\nAnswer: -4*g*q + 12*q**3 - 13118*q*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 5*v = v + 7, -5*v = 10. Let p = 3 - 2. Which is the third biggest value? (a) p (b) w (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 336 is divided by 125?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 120 - 112 - (3 + (-1 - 8) - (-1 - 2)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 309*h**3 - 1655*h**3 - 1186*h**3.\nAnswer: -2532*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -22*w**4 + 266*w**3 + 592*w**2 - 56*w = 0.\nAnswer: -2, 0, 1\/11, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 263409 - 263410. Let q = 2 + -1.8. What is the smallest value in q, f, -1.5?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3389265.\nAnswer: 3, 5, 11, 41, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(1\/5))**7)**(-50)*(k\/(k\/(k*k**6)))\/k**(-3\/8)*k**(1\/5)\/(k\/k**(-7)) assuming k is positive.\nAnswer: k**(-16817\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47 + 46.56. Let p = -0.24 - u. Sort -0.4, -3, p in decreasing order.\nAnswer: p, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 65, 5\/6, -1\/3?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259042?\nAnswer: 2, 7, 18503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 64*r - 30. Calculate s(3).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -278.2 (b) -0.2 (c) -4 (d) 0.2 (e) 157 (f) 3 (g) 1.6\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-5)\/30)\/((-1)\/6))\/((-336)\/(-672))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 + t**3 + t**2)*(-2*t + 7*t - 3*t) + t**3 + 429*t - 431*t + 4*t**3 + t**4.\nAnswer: 3*t**4 + 5*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**4\/3 - 19930408*s**3\/3 - 16550875150132*s**2 + 99305310692024*s\/3 - 49652665311218\/3 = 0.\nAnswer: -4982603, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1 + 1 + (sqrt(1300) - -3*sqrt(1300)*6) + sqrt(1300) + 5 + 1)**2.\nAnswer: 4400*sqrt(13) + 520121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194 is divided by 66?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/10*(9 + 1). Let g = 16 + -26. Let t(v) = -v**3 - 9*v**2 + 11*v + 12. Let z be t(g). Solve 4*r + y = 4*y + 2, z*r + n = 4*y for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-8))\/((-123)\/82)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b + 2. Let x(v) = 12*v**2 + v**2 - v**2 - v**3 + 6. Let f be 2\/((-4)\/96*-4). Let h be x(f). Let l(k) = -k - 1. Calculate h*l(g) + 3*y(g).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 14*t**3 + 10499*t**2 + 14*t - 9. Let r(p) = 3*p**3 + 2623*p**2 + 3*p - 2. Calculate 2*i(d) - 9*r(d).\nAnswer: d**3 - 2609*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52292240 and 1040.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/10)\/(5\/(-5)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 125 + -123. Let l(a) = a**3 - a**2 + a - 20. Let s be l(0). Calculate the lowest common multiple of i and (0 + 2)*-1 - s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -1\/6*y**3 - 1\/48*y**4 + 1\/120*y**5 + 0 + 0*y + 2*y**2. Factor m(b).\nAnswer: (b - 2)*(b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*r - 28 - 26 + 54.\nAnswer: 13*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 + 6\/(-3) + 1. Let j = q - 0. Differentiate 0*d**4 - 1 + d - 3*d**j - d wrt d.\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from uzgggggzz.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 - -23.3. Put -2, -4, x, 0 in increasing order.\nAnswer: -4, -2, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*-1 + -4*42\/(-88). What is the closest to 0 in v, -2\/5, -1\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 197, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 351456611 a multiple of 349?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (27\/13)\/(40\/4680*9)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6192829 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l + 3. Let v be p(-3). Suppose -h + 22 = 3*s + 3*h, 0 = h - 1. Let q(a) = a**2 - 7*a + 5. Let c be q(s). Which is smaller: v or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 185763?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/17 in 4.461, -0.06, -2?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -13. Let c(r) = r - 4. Let y be c(q). Solve 0 = -4*b - m + 13, 7 = 2*b - 2*m + y for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**2 + 22*a - 5. What is u(-11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 + 20. Suppose 4*m = -i*z + 10, 3*z - 6 + 0 = -3*m. What is the smallest common multiple of m and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6695880 to the nearest ten thousand.\nAnswer: -6700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 4:18 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(3*6\/27). Let r(k) = k - 33*k**2 - 2 + 32*k**2 + s - 20*k**3. List the prime factors of r(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 27\/463? (a) 4 (b) -0.1 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 minus 501.421?\nAnswer: -501.471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 93948924, 93948925, 93948926?\n\"Answer: k + 93948923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.8 or -17?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25133\/198 - 1187\/9. What is the common denominator of u and 81\/898?\nAnswer: 9878","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-10) + 8\/30. Let w(c) = c + 1. Let j be w(1). Suppose -3*y = 3*r - 6, 0 = -0*y + j*y - 4*r + 2. Put q, y, 0.2, 3 in descending order.\nAnswer: 3, y, q, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1051 (base 11) in base 2?\nAnswer: -10101101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = m + 10, 2*m = -5*l - 2 - 3. Calculate the smallest common multiple of l and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 1\/7 (b) -74285 (c) 0.1 (d) 59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) -0.4293 (b) 0.11 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3\/10)\/w**(-42))\/(w**(-2\/19)*w\/w**(-2\/37)) assuming w is positive.\nAnswer: w**(286481\/7030)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - m + 1. Suppose 3*c = 2*f + 3, 3*c + 8*f - 4*f + 15 = 0. Let w(v) = 5*v**2 - 4*v + 11. Calculate c*w(k) + 2*u(k).\nAnswer: -3*k**2 + 2*k - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9691, 9524, 9227, 8800?\n\"Answer: -65*d**2 + 28*d + 9728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 4:36 AM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 130.82 to the nearest integer.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 5*d = 26, -7*d + 2*d = 4*s - 12 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 1 - r + 7 + r**3 - 12 to the form u*r + l*r**3 + s + z*r**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 812*p**2 - 13 - 2*p - 404*p**2 - 413*p**2 + (2*p + 0*p - p)*(2*p - p + p).\nAnswer: -3*p**2 - 2*p - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -4 - 5*o + 5 + 7*o - 3*o. Let r(u) = 7*u - 4. Suppose j = -2*c - j + 2, -3*c + 5*j = 13. Give c*r(y) - 5*v(y).\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -44184 * -7.\nAnswer: 309288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*n**4 + 17*n - 17*n - 1 - 2*n**4 + 1 + (-2*n**4 + 5*n**4 - 4*n**4)*(-1 + 0 + 3) + 4*n**3 - 4*n**3 + 3*n**4 + 31*n**4 - 12*n**4 - 20*n**4 - 17.\nAnswer: -7*n**4 - 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*b + 8 = -29*b - 4*o, 0 = 4*b + o + 7 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43180906 is divided by 14393630.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/3 + 15*y**2 + 512*y\/3 + 464.\nAnswer: (y + 4)*(y + 12)*(y + 29)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/(-52)*(0 + (216\/102)\/9).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 561367.\nAnswer: 561367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46889166 to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 1, -0.2, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of 0*j**3 + 11\/20*j**5 + 83\/12*j**4 + 0 + 0*j**2 + 3*j. What is the third derivative of u(v) wrt v?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.612 * -1025\nAnswer: -1652.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2496 is divided by 19?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -10*a + 45199. Let l(b) = -56*b. Determine l(m(g)).\nAnswer: 560*g - 2531144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -202 + 114. Let r = f + 88.06. Which is the smallest value? (a) 2\/9 (b) r (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x. Let s be i(-6). Let w(d) = d**3 - 6*d**2 - 10*d + 15. Let c be w(7). What are the prime factors of 2 + s\/27 + (-166)\/c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 3*q**2 - 3*q + 3*q**2 + 1. Let t be r(2). Suppose t*d = d + 36. What is the smallest common multiple of 18 and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 220 = -56*x, 995*x - 992*x = -4*q - 95 for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m**4 - 111073521*m**3 + 899478742*m - 1 wrt m.\nAnswer: -12*m**2 - 666441126*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9373\/612 - 309\/17. Calculate the common denominator of 29\/42 and d.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 7 - (1 - -1 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4147, -4154, -4183, -4246, -4355?\nAnswer: -4522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -7. Suppose 0 = -m*u + 507 + 127. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -179315*d**3 - 95*d**2 + 2*d + 4247502.\nAnswer: -1075890*d - 190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/4*(-8)\/(-12) - 2070\/92?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 1 = -11. Suppose -6 = n*r, 5*b + 4*r - 2*r = 246. Calculate the remainder when 24*(b\/8 - 4) is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1.001, -11\/2 in descending order.\nAnswer: 1.001, -2, -11\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.83 - -0.8299841. Round x to six decimal places.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k - 2. Let l = -227 - -230. Suppose -10 = 5*a + 2*b, 0*a = -5*a - l*b - 5. Give f(a).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + 12. Let l be 68 - (-1 - 8\/x). What is the greatest common divisor of 13 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 4 - 0. Let l(z) = -h - 18 - 3*z - 2. What is the remainder when l(-10) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8ab5 - 1?\nAnswer: -8ab6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 2. Suppose -6*u = -7*u + 3. Suppose u*d + 2*w + 0*w + 10 = 0, -5*d + 25 = -5*w. Put d, f, 3 in ascending order.\nAnswer: f, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.195, 3, -14?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n + 109. Let i(m) = m + 1. Let w(s) = f(s) + 2*i(s). Is 42 a factor of w(-29)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -0.5, 4, -3.6?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 211624\/22674*(-3)\/(-4)*6*-1.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 6*a - 1. Let p(v) = -v + 1. Let z(o) = -5. Let w(r) = -6*p(r) - z(r). Let d(n) = -6*m(n) + 5*w(n). What is d(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2144311 + 4?\nAnswer: 2144315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 257*p**2 - 8*p - 23. Is t(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 791168 or 791169?\nAnswer: 791169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 - 5*q - 3. Let z be f(-3). Suppose 5*y - 28 = z*x, -3*y = -y - 10. Let h = x - -8. What are the prime factors of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - 707331\nAnswer: -707330.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/14*4\/16\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 157543212?\nAnswer: 157543212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22252 is divided by 11119?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 3, -3, 0, -10 in increasing order.\nAnswer: -10, -3, 0, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7\/(693\/15268) + 2\/(-9). What is the remainder when (-368)\/(-161)*g\/4 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-6\/5)*t*t**(-7\/5)\/t*t)**(2\/29)\/(t**(-2\/7)\/(t*t**(-6)))**(-48) assuming t is positive.\nAnswer: t**(229638\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.046797113 to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 57*z**2 - 37*z + 176. Calculate l(4).\nAnswer: 940","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3*(2 + sqrt(304) + 3)**2.\nAnswer: -988 - 120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (153\/12)\/17*2*4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, -29, -274, 4 in descending order.\nAnswer: 4, 0, -1, -29, -274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -171c - a5a?\nAnswer: -2479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1802\/748*(-22)\/(-4))\/(7\/(-28))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68555 divided by -15.\nAnswer: -13711\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6590880)\/(-108) - 4\/(-3). Suppose 19828 = -4*s + b. Round s to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 1664?\nAnswer: 14976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 3. Let c be (4\/(-8))\/(x\/30). List the prime factors of (-564)\/(-15) + 2\/c.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(136) - 1*sqrt(136))*-5)\/(-2*sqrt(1152)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69108*v - 2839 = 69091*v. What is the remainder when 456 is divided by v?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 929, 1238, 1581, 1958, 2369, 2814?\n\"Answer: 17*s**2 + 258*s + 654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3)\/30)\/((-4)\/450*40))\/(5\/(-20)).\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 92 + 3. Let p be g\/15 - 2\/(-3). Is p\/(-2 + (-11)\/(-5)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 27048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 4. Suppose -h*m = -5*i + i + 27, -5*i + 2*m + 25 = 0. Solve 2*w = i*w - 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2156, -2289, -2680, -3467, -4788, -6781, -9584, -13335?\nAnswer: -18172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*u**2 - 14004 - 437*u + 28013 - 14009.\nAnswer: -26*u**2 - 437*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/4780 and -49\/10.\nAnswer: 4780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 9*r**2. Let x(b) = 5*b - 4. Let a(k) be the second derivative of 0 - k**3 + 6*k + 5\/2*k**2. Let y(p) = 4*a(p) + 5*x(p). Calculate j(y(q)).\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48 - -58.5. Let o = j + -11. Sort -5, 1, o in descending order.\nAnswer: 1, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of g**7\/840 - g**6\/90 - g**5\/60 - 7*g**3\/3 + 1. Let t(u) be the third derivative of h(u). Determine t(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3230411539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 4)\/(4 + 92\/(-24)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 153263174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 3*r - 34 = 0, -2*o - 3*o + 2*r + 44 = 0. Let t(v) = -v - o*v**2 - 3 + 11 - 7. Give t(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -382 * -0.5.\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 309 and 40\/8 + (7 - 0)?\nAnswer: 1236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2720\/6)\/16*18\/5 is divided by 57?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**2 - 2*c**2 - 2*c**2)*(-14*c**3 - 8*c**3 + 2*c**3).\nAnswer: 80*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 285, 226, 129, -24, -251, -570, -999, -1556?\nAnswer: -2259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 124 - (1 + (3 + -2 - 1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of 5*v**6\/6 - 3*v**5\/2 - 11*v**4\/12 + 2*v**3 + 2*v**2 - 33*v + 156. Let n(l) be the first derivative of g(l). Factor n(z).\nAnswer: (z - 1)**2*(5*z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(130)\/(sqrt(10) - sqrt(60)\/sqrt(6)*-2).\nAnswer: sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4078048 and 1768?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(22)*-2 - (1*sqrt(1782) + sqrt(1782)))\/(sqrt(44)\/sqrt(144) - sqrt(110)\/(sqrt(40) - sqrt(10))).\nAnswer: 96*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -133.7 - -251453829019.\nAnswer: 251453828885.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(-1)*(3 + -2). Calculate the greatest common divisor of w and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 28?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1))**4*((x\/x**(-11))\/x)\/(x\/x**1*x) assuming x is positive.\nAnswer: x**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 448 = 14840*o - 14776*o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(190) + sqrt(190))\/sqrt(10) + 3)**2.\nAnswer: -6*sqrt(19) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12.2 + -12.7. Let o = -4.4 - -4. Which is the second smallest value? (a) n (b) o (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3738319 and 115.64?\nAnswer: 3738203.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -202 divided by -199.\nAnswer: 202\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(175) + -1 + 3)**2.\nAnswer: 20*sqrt(7) + 181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -2*h**2\/7 + 9228*h\/7 + 18464\/7 = 0.\nAnswer: -2, 4616","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17 - -14) + 1)\/(2\/2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 0*r - 65. Solve -17 = 2*f + f - 2*l, f - r = -4*l for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3575 and 4.\nAnswer: 14300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-30)*(-195)\/(-78)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -78*r**2 - 2*r + 1. Suppose 0 = 3*y + 3*t + 9, -2*t - 3*t - 17 = 3*y. Let h be a(y). Let l = h + 189. List the prime factors of l.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (902\/123)\/(16\/(-20)*5\/(-6)). Suppose -2 - 13 = -3*d. Suppose 2*s + 2*s = -x + 15, 0 = d*x + s - 18. Solve -t + 5*z + 13 = 2*z, -x*t - z = f for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 AM and 8:00 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2 - 3 - 2 + 2. Let a = 114 + -156. Let q(b) = 2*b**2 + 14. What is a*w(f) - 3*q(f)?\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 10*16\/352*11\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44395 by 65.\nAnswer: 683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 191344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 97891992*p**2 + 59779039*p wrt p.\nAnswer: 195783984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 775963 a multiple of 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3017, 5886, 8607, 11180, 13605, 15882, 18011?\nAnswer: 19992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - o - 3. Let n be v(4). Suppose 6*j = n*j - 72. Find the common denominator of -1\/14 and ((-85)\/j - 1) + 1.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/244 and 115\/28?\nAnswer: 1708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 447*v - 4*m = 451*v + 8, 8 = -v + 5*m for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -7*n - 5. What is d(-3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1728\/(-15))\/(8\/(-140)). Suppose 20*s = 6*s + w. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 8:28 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.744 minus -2.2900645?\nAnswer: -16.4539355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 4*f - 93. Let t be i(12). Solve a - t*q = -2 + 7, 0 = -3*a - q - 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.87*0.05456.\nAnswer: -0.0474672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 1) + 4 + -6 + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t + 13. Let j be f(5). Suppose -4 = -2*g - 2*z, -j*g = -g - 5*z - 11. Which is the second biggest value? (a) -1 (b) -3\/2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 1\/11, -721, 4\/3?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6825645 nanometers in millimeters?\nAnswer: 0.0000006825645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 15*i - 104. Let k be j(7). What is the closest to k in -2\/19, 10, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.4 - 6. Let m = 2.2 + -5.2. What is the third smallest value in c, 2, m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.93 - -0.07. Let m be 46\/(-60) - (-3)\/5. Which is the nearest to 1? (a) 0.1 (b) m (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*z = 27*z - 4*z - 1365 for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 50\/13*l**3 + 116\/13*l**2 - 8\/13*l**4 + 0 - 32\/13*l = 0.\nAnswer: -2, 0, 1\/4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t. Suppose 4*j - 1 = -2*h - 3, -8 = -5*j + h. Let k(a) = -3*a - 4*a + a - 1. Calculate j*k(d) + 5*g(d).\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*u + 16*u**2 - 5*u**2 + 26*u - 10*u.\nAnswer: 11*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 29*q**2. Let p(y) = -13*y**2. Let d(l) = 80*l**2. Let w(j) = 4*d(j) + 25*p(j). What is o(w(g))?\nAnswer: 725*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.9 - 0.1. Let s = x + 5. Let g = -6 + 14. Sort g, -1\/8, s in ascending order.\nAnswer: -1\/8, s, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, c: 1, i: 5, m: 3, s: 2}. What is prob of sequence qsmi?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) - sqrt(108)*-1) + -4 - ((2*sqrt(108) - sqrt(108)) + -4 + sqrt(108)) - 4*(sqrt(108) - -3*(sqrt(108) - 2*sqrt(108))))**2.\nAnswer: 6912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 126, 120, 104, 72, 18, -64?\nAnswer: -180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 3*n**3 + 8*n**2 - 5*n + 6. Let m(o) = o**2 - o + 1. Let g(d) = -h(d) + 6*m(d). Determine g(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mamaa. Give prob of sequence am.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y + 7. Let v(w) = -5*w + 21. Let t(z) = -2*v(z) + 7*x(z). Let j be -6 + 5 - 2*3. What is the remainder when t(j) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of -1\/20*o**5 + 0 + 0*o**3 - 7\/12*o**4 - 3*o + o**2. Let t be y(-7). Solve -6*c + t*c = 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hi when two letters picked without replacement from uiikreerkhehhrihhhe?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 3*z - 4. Let a(h) = 13*h**3 - h**2 - 17. Let q(v) = 3*v**3 - 4. Let n(d) = 2*a(d) - 9*q(d). Calculate n(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2457 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 3156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uppeeerperrpurujer. Give prob of sequence reju.\nAnswer: 5\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -33*b**4*m - 22247*b**3*m - 257*b**2 - 3*b*m - 4*b - 9*m wrt b?\nAnswer: -792*b*m - 133482*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l + 1. Let t(o) = -30*o - 1. Let y(m) = -q(m) - t(m). Let a(u) = 158*u + 14. Let r(s) = 113*s + 10. Let j(v) = -5*a(v) + 7*r(v). Give y(j(g)).\nAnswer: 31*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (47 - (32 - -20)) + 68?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.2502 milliseconds to microseconds.\nAnswer: 24250.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 204 + -172. Suppose 3*s = 5*r + 72, 5*r - 10*r + 4 = s. What is the remainder when b is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of h**5\/15 + 2*h**2. Let k(n) = 11*n + 9. Let p(y) = -4 + 0 - 5*y + 1 - 1. Let d(b) = -4*k(b) - 9*p(b). What is d(m(a))?\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**3\/5 - 1602*t**2\/5 - 23608*t\/5 - 22008\/5 = 0 for t.\nAnswer: -786, -14, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 + -23?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -445 in 138, -5, -2\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 332*x - 431*x = 867*x + 3864 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31854*w - 44720 = 32542*w for w.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4123481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -1 - 220*x + 10*x**2 - 9*x**2 - 12*x**3 + 221*x. What is p(1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.46 + 0.27. Let i = 0.13 + f. Let p = i - 2.94. Which is the smallest value? (a) -1 (b) -0.1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnrnnnmrmnmmnnrm. Give prob of sequence mmmm.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -116, -158, -202, -248, -296, -346, -398?\n\"Answer: -i**2 - 39*i - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w - 5*c = -12*w + 268, 4*w - 560 = 4*c. What is the remainder when w is divided by 72?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-28*y + 46*y + 2 - 22*y)*(-2*y - 1 + 1) to u + b*y**2 + q*y and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2817 divided by 152\nAnswer: -2817\/152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(228)\/((sqrt(144) + sqrt(144) + -1*sqrt(144) + sqrt(144))\/sqrt(12)) + -1.\nAnswer: -6 + sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 + -27. Let j be (-2 - (-69)\/o)*-3. Let n = 69 - j. What is the remainder when n is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + 1 + 1\/1. Let w be (k - -1)\/(4\/(-12)). What is the remainder when 37 is divided by (-2 - w - -12)*1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((136\/(-14))\/(-4))\/(15\/2205*-21).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 8:06 AM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3075490, 6150961, 9226432, 12301903, 15377374, 18452845?\nAnswer: 21528316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 144973, 144930, 144875, 144802, 144705, 144578, 144415, 144210?\nAnswer: 143957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5207775102?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -2670000 to the nearest one hundred thousand.\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 61497 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-1\/3)\/t)**(-11))**(2\/13))**(2\/69) assuming t is positive.\nAnswer: t**(176\/2691)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -5.065?\nAnswer: -20.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/15))**9 assuming m is positive.\nAnswer: m**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (((-2752)\/112)\/(-43))\/((16\/14)\/(-4))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + 12*n - 1. Let q be b(6). Solve 14*j - 7*j = q for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 23312*a**3 + 96343.\nAnswer: 69936*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -118981\/251 or -475?\nAnswer: -475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-8))\/((-225)\/200).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 - 30. Let g be 10\/4 + 1\/(-2) - y. Calculate the greatest common factor of 21 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -33, 0.2, -2\/17, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9042241 and 267683.\nAnswer: 4537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1100112 (base 3) to base 2\nAnswer: -1111011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 14 = 3*n + 2*n, 0 = 2*h + 2*n - 8. List the prime factors of h\/((-6)\/(-2)) + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -43 and 107.01.\nAnswer: 64.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -652611, -652624, -652651, -652698, -652771, -652876, -653019, -653206?\nAnswer: -653443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/10 (b) -0.5 (c) 8844 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -7590400 to the nearest 100000.\nAnswer: -7600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 - -20.6?\nAnswer: -64.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y**5 - 65*y**4 - 210*y**3 + 160*y**2 + 1120*y = 0.\nAnswer: -7, -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 1. Let v be 0 + a + -3 + 16. Solve -6*r + v = -8*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 702.9975 to the nearest 10.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 10 + 10 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*l**3 - 3*l**2 + 172*l**3 + 3*l**2 - 85*l**3.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -165825 or -165823?\nAnswer: -165825","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 850320183 to the power of 1\/2, to the nearest integer?\nAnswer: 29160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 5*d**2 - 5*d + 8. Let a be p(-6). Suppose 0 = -a*f + f + 3. Suppose -f*n + 290 = 2*n. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*k**2 + 534770*k + 4277840 = 0. Calculate k.\nAnswer: -106946, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 4, 8405, 6, -0.64?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -1, -0.07013, 4, -1\/3, 2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -140 + 196. Let z = 61 - i. What is the biggest value in z, 0, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {f: 2, g: 10, p: 3, h: 4}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26 + -62)\/(-360) + 203\/(-30).\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2511384 a multiple of 1076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**5*q)\/q*q\/(q**(3\/5)*q)*(((q\/(q*q**1))\/q)\/q)\/q**(1\/9) assuming q is positive.\nAnswer: q**(58\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 36 and 0.10128571655.\nAnswer: 36.10128571655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -1.2 (c) 5 (d) -3\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -9*k + 3. Let y be g(-3). Let w = y + -61\/2. Which is the nearest to w? (a) -0.5 (b) 1\/9 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011 (base 2) in base 12?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 4:19 AM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 51509.4 rounded to the nearest one thousand?\nAnswer: 52000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -29 - -41 - (11 + 2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4176 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 96*f + 1253. List the prime factors of b(-10).\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17021993 to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 7. Let w = 40986 - 368872\/9. Put 0.2, a, -5, w in ascending order.\nAnswer: -5, 0.2, w, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 12\/25 and -23\/55.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kg when two letters picked without replacement from kgog.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5495*x**2 + 2076?\nAnswer: 10990*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-59)\/(-2655)*30)\/(2\/66*2)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 729, 1512, 2337, 3186, 4041, 4884?\n\"Answer: -3*c**3 + 39*c**2 + 687*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p + 3. Let i be c(4). Let u be ((i - -4) + 0)*-18. Solve -4*g = 2*q - u, -4*g - 12 = -0*g - 4*q for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 5 + (sqrt(2057) - (sqrt(2057) + -5)) + -1)**2.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 914?\nAnswer: 2, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 + 46 + 105 - 200?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 96.2, -10, 0.1638?\nAnswer: 0.1638","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1875*u**2 - 4825*u**2 + 853*u**2)*(0*u - u - 2 + 3).\nAnswer: 5847*u**3 - 5847*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16 - (-4 + -2 + 10). Suppose -3*c + m = -0*c + 3*w, c = 3*w + 20. What is the lowest common multiple of c and 30?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -12*j - 102. Let y be t(-8). Let v(l) = -8*l**3 + 7*l**2 + 7. Let h(n) = -n**3 + n**2 + 1. Determine y*v(w) + 42*h(w).\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ktj when three letters picked without replacement from jvxxtko.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 46733715 and 0.03.\nAnswer: 1402011.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 9*j + 5. Let x be o(9). Suppose -5*v = -3*p + 37, 2*p + x*v = p - 21. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -4 (b) 3\/2 (c) -4\/9 (d) -2 (e) 3 (f) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 3*t = -0*t - 24, p - 3*t = 12. What is the biggest value in p, -2, -4\/3, 7\/3?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 24 = -2*g, 0*w = -3*g + 3*w - 9. Suppose -2*n = g*n. Suppose -2*c = 4*t, -c + n = 3*t + 4. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-9))\/(19*36\/(-8208))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1136, 1960, 2774, 3578, 4372, 5156, 5930?\nAnswer: 6694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.383 + 0.383. Let q = 4.1 + -4. Let l = 551.5 - 552. What is the smallest value in l, w, q, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n + 2. Let t(q) = q**3 - 2*q**2 + q - 7. Let p be t(0). Suppose -g - f = 11, f + 2 = -4*g - 45. Let a = p - g. Give h(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of -s**3\/3 + 293. Let d(z) = 8*z. Let i(y) = y. Let j(m) = -d(m) + 6*i(m). Calculate j(x(v)).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3 = 2*n, -3*g = -3 - 6. Do 1\/18 and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -15*q + 5. Let z(y) = 8*y**2. Calculate w(z(u)).\nAnswer: -120*u**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1352230.8 months?\nAnswer: 1126.859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*d + 30*d + 33*d.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*w - 9*w = 30 + 282 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1258843?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 16*q**2. Let x(g) = -494*g - 234. Let w(s) = 17*s + 8. Let k(m) = 117*w(m) + 4*x(m). Calculate d(k(b)).\nAnswer: 2704*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 1. Let o be 1 - -2 - (-15)\/(-3). Let y(b) = 5*b**3 - 9*b**2 + 9*b - 5. Let s(x) = o*w(x) - y(x). Determine m, given that s(m) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**3 + j - 3 + 3)*(3*j - 4*j + 4*j).\nAnswer: 6*j**4 + 3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 31, 74, 143, 244, 383, 566, 799?\nAnswer: 1088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 444\/(-407)*11\/(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 575 is divided by 101?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50619*z + 589 = 50650*z for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -41*o + 7. Let w = -9039 + 9053. Calculate the remainder when g(-9) is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -15*b**3 + 59*b**2 + 10*b - 13. Let s(t) = -47*t + 1. Calculate the remainder when a(3) is divided by s(-1).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 10:17 PM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*1*(-5*-1*sqrt(272) + sqrt(272) + sqrt(272)) + -4 + (-5 + 1*sqrt(272))*-4.\nAnswer: -184*sqrt(17) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 17\/2 + 6\/(-4). Suppose n - q = -i, -4*n + 0*i = 5*i - 30. Suppose -10*h + 875 = -n*h. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3413 - -6637. What is the thousands digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2304064 is divided by 16576.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of 2*z**7\/105 - z**4\/24 - z**2. Let y(d) = -d**4 + d. Let m(c) = i(c) + 3*y(c). What is the second derivative of m(o) wrt o?\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -11*a**3 - 5*a**2 + 5*a - 10. Let j = -8 - -13. Let l(k) = k**3 + k**2 - k + 1. Let m = 7 - 6. Let g(v) = j*l(v) + m*h(v). Differentiate g(n) wrt n.\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o - 187 + 181 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -4*u - 1. Suppose 3*q = u*q - 10. What is the remainder when 32 is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12.4, -3, -1, 0, -94\/5 in increasing order.\nAnswer: -94\/5, -12.4, -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 235\/45 + 4\/(-18). Let m = c + -3. Factor -r**2 + 0*r**m + 0 - 1 - 2*r.\nAnswer: -(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20021110100112 - -10221?\nAnswer: 20021110111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of 8*o**2 - 47*o + 7. Suppose -4*b + 30 = -9*l + 12*l, -4*l = 5*b - 38. Does 7 divide i(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*y + 0 + 0)*(-2 - 3 - 1)*(10*y - 1 + 1)*(y + 2*y - 5*y).\nAnswer: -720*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 7:49 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.03, 5\/4, 37, 0.1, -2\/359?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (60\/(-14))\/(22\/364). Let b(l) = 72*l**2 - 1. Let g be b(-1). Let k = p + g. Which is bigger: k or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 45 = 2*j, 5*u + 28 = -6*j + 7*j. Suppose -j*i + 666 = -22*i. Suppose -i = -11*f + 2*f. List the prime factors of f.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/798 and 29\/42.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = d + 3, 4*x + 34*d - 33*d = -3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -5*m**2 - 2*m + 129. Let g(d) = -3*d**2 - d + 74. Let q(r) = 7*g(r) - 4*v(r). Suppose 0 = -k - 2*k. Give q(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 5:33 PM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2222)\/(-1212))\/(((-1)\/(-72))\/(3\/9)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c - 2. Let r(i) = i + 1. Let q(m) = 4*f(m) + 5*r(m). Give q(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(315\/112)*(-4)\/16.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/6*43\/86\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/1*(1 + 12\/(-8)). Which is bigger: z or 7\/8?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -54546122 + 4?\nAnswer: -54546115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - 437. Let k(g) = -13*g. Give k(u(x)).\nAnswer: 13*x**2 + 5681","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 12, -2, -9.8 in descending order.\nAnswer: 12, -0.2, -2, -9.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 3*y**2 + y + 1. Let f be n(3). Solve 0 = f*p - u - 21, -u + 24 = 4*p - 5*u for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 180*a*c*k**2 - 3*a*c*k + 4*a*k**4 + 2*a*k**3 + 9*a - 25*c*k**3 - 34*k**4 wrt k?\nAnswer: 96*a*k + 12*a - 150*c - 816*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -4. Let x be (-16)\/10*(0 - 6 - -1). Solve -2*l + a = -2*n, -x = -3*n - n for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 58.9999638 + -59. What is y rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*l - 5*l = -76. Suppose 44 = -0*t + 4*t - l*o, 0 = 3*t + o - 38. Put -5, 3, -2\/11, t in decreasing order.\nAnswer: t, 3, -2\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**3 - 7832 + 7832 + h in the form t*h + f*h**3 + x + m*h**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -112, -115, -118?\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7833 and 4412590.\nAnswer: 2611","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3140651779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 + 18 - -56) + -23.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*o**2 + 3 - 1 + 2*o**4 - 2*o**3 + 15*o**2 in the form v + q*o + h*o**2 + w*o**4 + k*o**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t**2 + 3*t**2 - 228*t**3 + 601*t**3.\nAnswer: 373*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in ten thirds of a hour?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 3*b**3 + 59*b**2\/4 + 39*b\/2 + 4 = 0.\nAnswer: -8\/3, -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/9*-1*2\/(-8)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66189890.\nAnswer: 2, 5, 13, 29, 97, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 3*y - 36. Let h be (-8)\/y*(-2 + 3). Factor -2\/3*o**3 + 2\/3*o + h*o**2 - 4\/9.\nAnswer: -2*(o - 1)*(o + 1)*(3*o - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 130 and 32045?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007793 rounded to four decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, w: 3, y: 2, r: 1, z: 8, v: 1}. Give prob of picking 1 y and 1 j.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1197\/33)\/7 + (-2)\/11. Suppose -s*d + 1905 = 2*w, -776 = -2*d + w + w. Suppose 5*v - d = 602. List the prime factors of v.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/3 (b) 8\/31 (c) -6 (d) -13\/47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -17368*q**2. Let d(b) = -1834*b. What is f(d(z))?\nAnswer: -58418240608*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/7070 - -3917\/869610. Is 4 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -16*k**3 - 58*k**2 + 186*k - 9. What is d(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6272409.38732 + 110.\nAnswer: -6272299.38732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 6:58 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -64 and 31?\nAnswer: -1984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.023 - -8.90415635?\nAnswer: 8.88115635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 8. Let a be r(0). Let b = -6 + a. Suppose 3*x = 2*c - 0*c + 17, -x + 5*c = -23. Sort 4, x, b in descending order.\nAnswer: 4, x, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 54.8 to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -8.68, -0.5, -2\/19, 4?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14759861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ojojiijooijjjijioj. What is prob of picking 1 o, 1 j, and 2 i?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80871, -322534, -725313, -1289214, -2014243, -2900406, -3947709?\nAnswer: -5156158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 2 = 5*d, -13239*y + 14 = d - 13238*y for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -254 + 32*q**2 + 254 - q + (-2*q + q + 0*q)*(2*q + 0*q + 0*q).\nAnswer: 30*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1295 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74 + 43 = 31*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z**3 - 3*z**2 + 4*z + 12. Let d(t) = -2*t**3 + 2*t**2 - 3*t - 13. What is 4*d(x) + 3*v(x)?\nAnswer: x**3 - x**2 - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 6, -25272, -3 in decreasing order.\nAnswer: 6, -1, -3, -4, -25272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -1917*v**2 + 1917*v**2 - 99*v**3 + (-1 + 3 - 1)*(v**2 + v**3 - v**2) - v**3 + 6*v**3 - 3*v**3 as j*v + q + o*v**3 + u*v**2 and give o.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -11 - 3 - (-9)\/(-2).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 765 and 352297\/461 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((4*(sqrt(320) - (sqrt(320) + 0)) + (sqrt(320) + 0)*-5 - -6*(sqrt(320) - sqrt(320)*1)*3) + 2))**2.\nAnswer: -5760*sqrt(5) + 288144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -6*k - 1. Calculate the remainder when (-42)\/4*4\/(-3) is divided by p(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a week in seconds?\nAnswer: 80640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (373*h + 628*h - 259*h)*(h**3 - 4*h**2 + 4*h**2) - 3*h**4 - 4*h**4 + 5*h**4 in the form x + q*h**3 + d*h**4 + i*h**2 + n*h and give d.\nAnswer: 740","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22236 or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 2 - 3)*(1 - 1 - 3)*(-3*h + 4*h - 3*h - h**5) + 35*h**5 + 46*h**4 - 46*h**4.\nAnswer: 41*h**5 + 12*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1654 - -4018. Let x = -1371 + v. What are the prime factors of x?\nAnswer: 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p - 11*p - 2*p - p.\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1111, -2463, -3793, -5089, -6339?\nAnswer: -7531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 4*t - 10*t)*(1 - 2 + 0) + 2*t - 4 + 4 - 2 + 4*t + 2*t + 8*t.\nAnswer: 20*t - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 7*t**2 - 4*t - 9. What is the remainder when 75 is divided by w(-7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 97*c**3 - 170*c**2 wrt c.\nAnswer: 582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -250.3 and 3.9.\nAnswer: -976.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dy when two letters picked without replacement from ntddniydydnsndyydidy.\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4\/7, 2\/5, 3\/2, -51, -2\/3 in decreasing order.\nAnswer: 3\/2, 4\/7, 2\/5, -2\/3, -5, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 97879 and 97884 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.021 - 17.579. Let i = n + 35. Let k = i - 16.59. Round k to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.74 + -0.6791. Round l to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 232.6 + -207. Round m to zero dps.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34584 and 1284888.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1248 * 0.1.\nAnswer: -124.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24.78 + 25. Let p = s + -1.22. Let g = 122 + -124. What is the closest to -6 in -0.5, p, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 477 + -437. Suppose o*z = 33*z + 378. Calculate the remainder when z is divided by 29.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 1:35 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 1:10 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23773243.\nAnswer: 13, 29, 63059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*h - v = 29*h - 10, -2*v + 5 = -h. Suppose 9237 = -h*c + 36258. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 311*o - 1514. Let j be a(5). Solve 14*c = 1 + j for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1750 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39211\/706 or 57?\nAnswer: 39211\/706","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/2352 and -62\/188377?\nAnswer: 63294672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 y when three letters picked without replacement from {y: 3, f: 12, c: 1}?\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-2) - (-3 - 3 - 2). Solve z*l + 5 = 5*o, -2*o = -l - 4*o + 2 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 2:34 PM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2019.17 kilograms to tonnes.\nAnswer: 2.01917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2 (b) 4 (c) -1 (d) 0.51\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of p**4\/21 - 166*p**3\/21 + 164*p**2\/7 - 63*p. Factor z(c).\nAnswer: 4*(c - 82)*(c - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -24485 and -1?\nAnswer: 24485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(2\/31))\/d**(4\/5))\/(d*d**(11\/2)*(d**(2\/111)*d)\/d) assuming d is positive.\nAnswer: d**(-215183\/34410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 9. Let h be (3\/1)\/p + 2. List the prime factors of (0 - h)\/(13\/(-117)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(-1 - 2 - 1)*(2*z**4 + 0*z**3 + 0*z**3).\nAnswer: 8*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g + 7. Let z be y(6). Let x be 10\/(-4) - ((-4)\/(-22) - 27000\/4752). Solve 10 = -x*v + z for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*(3\/(-1) - (-6)\/3). Factor 36*x**2 + 5*x - 3 - x - 28*x**2 - 4*x**o - 5.\nAnswer: -4*(x - 2)*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c**2 - 7*c - 2. Let q be n(-3). Let t(u) = -u**3 - u**2 - u + 1. Determine t(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -1 + -46 + 41?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 6:42 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 10:41 AM?\nAnswer: 4:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1685?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 107460 rounded to the nearest 1000?\nAnswer: 107000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 2*t - 2 + 4 = -8 + 23, -3*o = -4*t + 1 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 5677936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 548 - 4?\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.098 and 1287169.61102?\nAnswer: 1287169.51302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1293 * -297\nAnswer: 384021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -11*r**3 + 8*r**2 - 6*r + 9. Let g(m) = 21*m**3 - 15*m**2 + 11*m - 17. Calculate 6*g(s) + 11*v(s).\nAnswer: 5*s**3 - 2*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*n - 60*n + 78*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3211353 and -10.2.\nAnswer: -10.5211353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.9 + -0.27351.\nAnswer: -5.17351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -25, -42*l - 4*r + 352 = -40*l. Calculate the greatest common factor of l and 1411.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(-30) + 0 + (-13)\/(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 17\/((-136)\/(-96))*24\/3. Suppose 0 = 97*c - s*c - 3. Factor -2\/5*o**2 - 2\/5*o**c + 8\/5 + 8\/5*o.\nAnswer: -2*(o - 2)*(o + 1)*(o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2059 and -0.04.\nAnswer: -82.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 59316634879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3221, -13530, -41517, -96020, -185877, -319926?\n\"Answer: -1473*v**3 - v**2 + 5*v - 1752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2895053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 8\/6 + 8\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 856 = -3*k, 41*k = 45*k + l - 1133. Calculate the least common multiple of 11 and k.\nAnswer: 3102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.3 and -4.\nAnswer: 5.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7523 and -0.3.\nAnswer: -2256.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from caaiiccacacacc. What is prob of sequence aca?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*n**5 + 87*n**2 - 20*n - 26.\nAnswer: 80*n**3 + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/194256 and 149\/14132124.\nAnswer: 56528496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -3.96. Let s = -7.04 + m. Let t = s - -7.3. What is the biggest value in 0.5, t, -0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -7*g**3 + 2*g**2 - 52*g - 682. Let q(h) = -15*h**3 + 5*h**2 - 105*h - 1363. Let v(i) = -2*q(i) + 5*z(i). Differentiate v(j) wrt j.\nAnswer: -15*j**2 - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 0.1, 1\/7, 77, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 572 + -585. Let k(y) = 4*y**2 + 11*y - 53. Does 60 divide k(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -703*-37*49\/34447?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3366.6? (a) 1\/4 (b) -0.5 (c) -27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -0.4, -0.09, 17, 290, 1\/6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1309324 millennia in centuries?\nAnswer: 1.309324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9493000 rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 32666 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) -961 (c) -1\/5 (d) 0.5 (e) 2 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -r - 52. Calculate the remainder when r is divided by (4\/6)\/((-2)\/(-12)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 923610 and 2040.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 8*w**2 + 4*w + 6. Let a(m) = -9*m**2 - 5*m - 7. Let i(z) = 3*a(z) + 4*x(z). Let q(s) = s - 6. Let p be q(4). Is i(p) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 553, 1098, 1643, 2188, 2733, 3278?\nAnswer: 3823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 + 0.8. Let m = f - 0.7. What is the closest to -0.1 in m, -0.2, 0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3345, -6773, -10313, -14019, -17945, -22145, -26673?\n\"Answer: -9*j**3 - 2*j**2 - 3359*j + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 811212.8mg?\nAnswer: 0.8112128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-22)*(-8)\/(-32)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-7)*v*v**(-14)*v*v\/(v*v**(-38)*v)*v**(-2\/13)*v*v)**27 assuming v is positive.\nAnswer: v**(6966\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 7 - 5 = -3*l, 26 = 5*c - 4*l. Suppose -c*v - 4*m + 8 = 0, 2*v = 3*m + 2*m - 10. Solve -2*g + 12 - 10 = v for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-4\/9)\/g*g)\/(g\/g**(-2\/23)))**(-4\/9)*((g*g**(-1)*g)\/g)**26*g**3*g\/g**(1\/7) assuming g is positive.\nAnswer: g**(59177\/13041)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 203 - 198. Let b = -3\/49 - 40\/147. Sort l, -1, b in increasing order.\nAnswer: -1, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31 and 961?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -5*k**5\/3 + 1190*k**4\/3 - 73120*k**3\/3 + 272590*k**2\/3 + 24375*k - 91260 = 0.\nAnswer: -1, 1, 4, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.6? (a) -2\/3 (b) 704 (c) -1\/117 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 403\/16 + -55\/16. Suppose -4*r - 52 = -4*t, 5*t = 3*r + 55 + 16. What is the common denominator of v and ((-15)\/6)\/(t\/22)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 410 and 14930970.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 14, 1, 2, 30, 0, -131 in ascending order.\nAnswer: -131, -3, 0, 1, 2, 14, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/7*175\/(-100)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -20165641 (base 7) to base 11\nAnswer: -a4850a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -428 (base 15) to base 14.\nAnswer: -4b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24468, -48918, -73356, -97782?\nAnswer: -122196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 106580474 by -4844567.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21931793 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 w when two letters picked without replacement from zkwkwaagaaggga.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (0 + -2) - (-45 - -51)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 6 = 2*b. Suppose 0*j + 5*a = j + 10, 2*a = -j + b. Let w be j\/((-2)\/(1 + 1)). Solve 2*k - 4*g + 8 = w, -3*k + 2*k - g = -8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.28 + -743.95.\nAnswer: -735.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1984044.71365228737383 - -1.74065885737383. Let y = 1984043 + g. Let r = y - 0.027. What is r rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 384 divided by -6\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -689 - -1156. List the prime factors of s.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*42*11\/132\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (72\/(-36))\/(2\/4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 146344044 to the power of 1\/2, to the nearest integer?\nAnswer: 12097","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (3 + (-8 - -2)) - -16.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 4*l - 6. Let s be 1570002 + l\/((-9)\/6). What is s rounded to the nearest one hundred thousand?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 4*g + 24 = 0, 47 - 46 = -3*v - g for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38425*h**5 + 3*h**2 + 2952*h - 2 wrt h.\nAnswer: 2305500*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 240890 and 1326?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n + 37. Let a be k(-17). What is the second derivative of 702*r**3 - 16*r - 702*r**a - 2*r**5 wrt r?\nAnswer: -40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**3\/7 + 453*p**2\/7 + 11610*p\/7 + 54000\/7 = 0.\nAnswer: -120, -25, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.106 - -0.190923024867.\nAnswer: 0.084923024867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*d**3 - 157*d**2 + 157*d**2)*(-d + d + 5*d).\nAnswer: -130*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1506277 is divided by 2615?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2\/13 (b) -1\/9 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -289 divided by -5.\nAnswer: 289\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 11) + 3 + -1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -4*u + 112. Let q be t(23). Suppose 0 = 4*n + 4*d - q, -3*d + 5*d = -4. Calculate the remainder when 31 is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of d**4\/12 + 20*d**3 + 1800*d**2 - 157*d + 17. Factor q(s).\nAnswer: (s + 60)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 3187*r**5\/5 - 1381*r**3 - 1090. What is the third derivative of t(d) wrt d?\nAnswer: 76488*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v**2 + v + 4. Suppose 3*f + 2*f = -40. Let u = f - -5. What is the remainder when j(u) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4144225 is divided by 1776.\nAnswer: 817","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*p + 80*p + 3 - 24*p)*(p**4 - p**4 - p**4).\nAnswer: -49*p**5 - 3*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 33751288 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 55818449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -44*a**2 + 80*a**2 - 58*a**2 + a**2 - 5 + 5 + (-a - a + 4*a)*(2*a + 2 - 2) + 0*a**2 - a**2 - a**2.\nAnswer: -19*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) + 1 + -3 + -3 + sqrt(275) + sqrt(275)*-2 + sqrt(275))**2 - (-1*(-1 + sqrt(275))**2 - (-5 + (sqrt(275) + -2)**2))) + -4.\nAnswer: -80*sqrt(11) + 846","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.28, 2, -0.532, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q - 7*q + 25*q**2 + 21 - 14*q + 18*q + 5*q as p*q + j + b*q**2 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-110)\/(-561))\/(246\/1394).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.86 - 0.66. Let y = p - -34.6. What is y rounded to 0 dps?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-18)*(-2 - 38\/(-190))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21d (base 15) in base 2?\nAnswer: -111011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 + (-168)\/60)*3\/(6\/4). Factor -32\/5 - 4*y - u*y**2.\nAnswer: -2*(y + 2)*(y + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-6))**(-3\/14)\/(((n\/((n*(n**(-7\/4)*n)\/n)\/n))\/n)\/n)**(1\/13) assuming n is positive.\nAnswer: n**(447\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, d: 1, v: 6, a: 1, c: 2}. Give prob of sequence vc.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + o = -0*l - 15, -5 = -l + 2*o for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -65*j - 180. Let m be s(-14). Suppose -3784 = -5*c + v + m, -3*c = -5*v - 2704. What are the prime factors of c?\nAnswer: 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41 - -9. Suppose 3*x - 5*x - v = 0. Let b = -12 - x. Is 13 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b + 20 + 0*b - 20 + b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**3 + 4*g**2 + 5*g - 5. Let p be m(6). Let b = p - 351. Round b to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + h**2 - h - 8. Determine v(-3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*t + 0 - 18*t - 1728*t**2 - 10*t - 5*t + 2.\nAnswer: -1728*t**2 + 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 - 60*g + 65. Determine i(-61).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4*(-10)\/12 + (-24)\/(-36). Solve -4*o + a + v*a = 20, 2*o + 5*a = -10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -5*g**2 - 45*g - 92. Give j(-7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4842 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: Calculate -1 + (5 - 7 - -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 77780935 divided by 263?\nAnswer: 295745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 287 - 715. What are the prime factors of (q\/(-2) + 0)\/(10\/5)?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -406475, -812976, -1219505, -1626074, -2032695, -2439380, -2846141?\nAnswer: -3252990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67 = -7*v + 74 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**9*p*(p**(-5\/2)*p)\/p*p*p**(1\/3)*p**(-1\/3)\/p assuming p is positive.\nAnswer: p**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k - 4*k + 3, -3*o - 24 = 5*k for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-4) + 119\/28. Suppose 11*l = 10*l + z. Let j(a) = 4*a + 4. Let f be j(l). Solve -4*d = -12, 5*k = k + 4*d - f for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*l**4 - l**4 - 3*l**4 + (-2 + 2 - l)*(-l**3 + l**3 + 2*l**3) + 0*l**4 + l**4 + 0*l**4 + 56*l**4 - 81*l**4 - 106*l**4.\nAnswer: -118*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o - 1. Let p(j) = 488*j - 1 - 238*j - 252*j. Let d = 79 + -78. What is d*p(c) + 4*n(c)?\nAnswer: 2*c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j. Let t(g) = -4*g. Suppose 0 = -4*b + 26 - 10. Suppose b*r - 20 = -4*n - r, -r = 0. Determine n*s(z) + 3*t(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(300) + 2)*-2)**2 + 4 + (((sqrt(300) - sqrt(300)*-1)*-6 + sqrt(300))*6)**2).\nAnswer: -5232080 - 640*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 + 18. Suppose -3*q - q + 34 = -f*b, 1 = q - 3*b. Let n = -18 - -22. Solve -n = 3*y - q for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 79281 - 41564. What are the prime factors of w?\nAnswer: 37717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1860)\/(-80))\/((-81)\/108)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1769 and 122?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gnnnngnnnnnnnnnnnnn. Give prob of sequence nn.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 5*o - 30, 4*o - 20 = -y - o for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**3 - 1296*z**2 + 2 + 1296*z**2 - 2.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1500691286?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 27264, 27229, 27194, 27159, 27124, 27089?\n\"Answer: -35*v + 27299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 21 + 27 = 0. Let h(w) = 3*w**2 - w + 1. Let t be h(1). What is the highest common factor of t and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - 1. Let h = 1 - -2. Suppose -h*u - 1 = 2. What is the third biggest value in w, -0.5, u?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -27\/4 - 1\/4*i**3 - 9\/4*i**2 - 27\/4*i = 0. What is i?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-4)\/(-12)*-3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-25 - 2) + (-5585920)\/(-512)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7735 and 34879?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*m**4 - 4647*m**2 + 4312*m**3 - 4310*m**3 - 3*m**4 in the form u + k*m**4 + d*m**2 + h*m + n*m**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/60 and -56\/2679.\nAnswer: 53580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2673 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, i: 15}. Give prob of sequence ieee.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1769*p**2 + 1142*p**2 - 1899*p**2.\nAnswer: -2526*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -6*r. Suppose 3*v - 7*v = -12. Let m(u) = u**2 - v*u**2 + u**2. Determine c(m(y)).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.1325 rounded to 0 dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136938.\nAnswer: 2, 3, 29, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 14*y + 14. Let c(d) be the first derivative of -d**5\/24 - 5*d**4\/24 - d**3 - 4. Let g(a) be the third derivative of c(a). Determine 11*g(q) + 4*n(q).\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21161161 (base 8) in base 6?\nAnswer: 240432025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1399 divided by 45984\nAnswer: 1399\/45984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000019084 to 7 decimal places.\nAnswer: -0.0000191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/(-10 + (-260)\/(-24)). Which is the second biggest value? (a) -2\/11 (b) i (c) -2\/63\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11\/2 of a milligram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 23*m**3 + 26*m. Let p(f) = -f**3. Let o(n) = -2*p(n) - v(n). What is the second derivative of o(w) wrt w?\nAnswer: -126*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z - 16. Suppose -4*r - 3*x - 40 = 0, 0 = -5*r + 3*x - 28 - 22. Let k be g(r). What is the units digit of -3 + (k - 2) - -20?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 524*q - 4488 = -224*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3761 + -414076?\nAnswer: -410115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 153*k**2 - k - 1. Is c(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -6*w + 3*w + 3773, -4*w = 2*o - 5038. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z**2 - 5 - 4*z**3 + 5 - 8*z**2.\nAnswer: -4*z**3 - 13*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3392 - -3391. Which is the smallest value? (a) t (b) -0.4 (c) 8\/9 (d) -0.5 (e) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) 1\/4 (c) -2\/13 (d) 1\/27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 + 12*k + 57. Calculate v(17).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39620.\nAnswer: 2, 5, 7, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**2. Let p(g) = 5281458*g - 19915. Let b(h) = 3977*h - 15. Let t(m) = -3983*b(m) + 3*p(m). Determine q(t(s)).\nAnswer: 31728578*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(-2\/21)*p\/p**(-2\/11) assuming p is positive.\nAnswer: p**(482\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1936 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -220 - -12030?\nAnswer: 11210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2. Let q(r) be the first derivative of 23*r**3 - 2. Calculate q(l(b)).\nAnswer: 69*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 0 + 5 + 13 + (7 - -2134)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54 and 114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 4. Suppose -h = 2*o - b, 4*o = 2*b + 2*b - 16. Is o bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -183496*h - 73 + 73 + 5*h**2 + 183502*h. Let k(c) = -c**2 - c. Suppose 2*y - 4*y - 28 = -4*v, 0 = y - v + 18. Determine y*k(l) - 4*j(l).\nAnswer: 2*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -233 - -25430041?\nAnswer: 25425404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**4*d - 54*b**4*j**2 - 54*b**3*d*j - b**2*d*j**2 - 2*b**2*d*j + 17*b**2*j - 40*d*j**2 wrt b?\nAnswer: 48*b*d - 1296*b*j**2 - 324*d*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -673*r + 561 = -112*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s + 3. Let p(h) = -h**2 - 8*h - 5. Let m be p(-7). Let g be ((-6)\/8)\/(m\/8). Let u be l(g). Solve 3*f + c = 6, -c = -u + 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 2:53 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5629966.\nAnswer: 2, 19, 148157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-2 - ((-1 - -1) + 2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -424892756939 and -0.4.\nAnswer: -424892756939.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 135 in 2.2, -5, -3, 9\/4, 3, 2\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 u, and 2 i when four letters picked without replacement from mlzuimumlumllimmll?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/13 (b) -3\/14 (c) -1.6 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 - 16*o - 16. Let b be 25 - 28 - (-21 + 0\/(-2)). Is r(b) a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6327 and 42624.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -t**5\/20 + 5*t**4\/12 - t**3\/2 + t**2 + 2*t. Let w(k) = -4*k - 21. Let r be w(-6). Determine c(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -4*p + 6, 3*p - 3*h - 6 = -0*p. Suppose 5*m = o + 82 + 60, 5*m + p*o - 132 = 0. What is the units digit of (m\/3)\/((-6)\/(-27))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqwqqqqqqqqq. Give prob of picking 2 q.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -200 + 119. Let c be (28\/6)\/((-18)\/n). Let l = c - 16. Solve -u = -l*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1620 and 37757988.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.26 + 26.74. Let q = -26 + g. Is q greater than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 3*d + 31 = 0, 3*u - d + 10 = 37. Let s = -551 - u. Let t = s - -959. What is t rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -852 + 1657 = -35*x for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1865 - -2278. What is the highest common factor of 531 and f?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 55939652 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 - 1.1. Let n = q + 1. Let m = 55.4 - 56.4. Which is the third biggest value? (a) m (b) 5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 102*p - 99*p. Put p, 2, 4 in decreasing order.\nAnswer: 4, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -626 - -776. Let k = -74 + 249. Calculate the greatest common divisor of k and s.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/167 >= -281\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -593, -542, -491, -440?\n\"Answer: 51*h - 644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7795 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -2*n**2 + 45*n - 762. Calculate j(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 76045167 to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-5) - 1)\/(800\/(-600)). What is the fourth smallest value in a, -2.817, -0.1, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7\/(-2) - -2)*-2. Let q = 3 + -2. Let v be q + 3 - 3\/3. Solve -6 + w = -v*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**8*c**(1\/5))**(-47)*((c**(-4)*c)\/(c*c**(1\/7)))\/(c**(1\/2))**(-40\/9) assuming c is positive.\nAnswer: c**(-136811\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*x - 131*x - 31*n - 165 = 0, -5*n + 0*n - 20 = x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - o**2 - 2 + (0*o - 2*o + 0*o)*(o - 4*o - o) - 4*o**2 - 2*o**2 - 33*o**2 + (-1 + 3 - 4)*(-5*o**2 + 2*o**2 + 0*o**2))*(-1 - 2*o + 5*o - 4*o).\nAnswer: 26*o**3 + 26*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 311.53 + 5.47. Let m = 313 - u. Let z(f) = f**3 - 5*f**2 + 6*f - 6. Let i be z(4). Which is the closest to -2\/9? (a) i (b) m (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 12*k**2 + 6*k + 2. Let b(l) = l**2 - 24*l - 3. Let o be b(24). Let z be n(o). Differentiate 65*w - z*w - 6 - 2 wrt w.\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 537 is divided by 108.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 83964 to the power of 1\/2, to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-five quarters of a day?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -138.537 in 5, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-6 - -1) + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 12*u + 8. Let y(r) = -5*r**2 + 59*r + 39. Let o(i) = -11*x(i) + 2*y(i). Let c be o(16). Solve -4*p = -2 + c for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/45))**16*(o*o**(9\/8))\/o**(4\/11) assuming o is positive.\nAnswer: o**(4159\/3960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 725 a factor of 538803766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - 0.6594056358?\nAnswer: -0.5594056358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/45 and -25\/84?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ire when three letters picked without replacement from eikireyrikrier?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.35 (b) 0.7 (c) 447 (d) 3\/5 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-6)*r**3\/r*(r*r**(-2\/7))**(-36))\/(r*r**(2\/17)\/r*r*r*(r\/r**(-4))\/r*(r*r**(-3\/2))\/(r\/(r**3\/r))) assuming r is positive.\nAnswer: r**(-8647\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-4))\/((-9)\/(-36)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 + 118*a**2 - 498*a + 378.\nAnswer: 2*(a - 3)*(a - 1)*(a + 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-32*t**2 - 42*t**2 - 40*t**2)*(4 - 4 + 2) + (-4*t**2 + 3*t**2 + 0*t**2)*(-5 + 1 + 3) to n + r*t + v*t**2 and give v.\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 5*t - 15. Let q(g) = -g**3 + 4*g**2 + 5*g + 7. Determine q(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (88 - 220 - 143)*(0 + 6 - 4)*(2*u**2 + 2 - 2).\nAnswer: -1100*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 432 in -3, -0.06, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1035 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -11*s. Let o(h) = -10*h. What is k(o(j))?\nAnswer: 110*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 449683 and 5291.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 411 = -v + 2*v + 3*u, 0 = 4*u. Let n = v + -267. Suppose -2*b = 2*m + 2*m - 132, -4*m + b + n = 0. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 506*u**2 - 506*u**2 - 32*u**3.\nAnswer: -32*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 164916780?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -y**7\/42 - 44*y**6\/15 - 1083*y**5\/10 - 2378*y**4\/3 + 11767*y**3\/6 + 151*y - 17. Factor k(d).\nAnswer: -d*(d - 1)*(d + 7)*(d + 41)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from rrrrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(63)\/(-2*sqrt(9)))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*d**3*z**3 - 483*d**3*z - 4126*d*z**6 + 40*z**2 wrt z?\nAnswer: 30*d**3 - 495120*d*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 17 = 3*a + 2, 4*a = 3*k + 20. What is the biggest value in k, 3, 8\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 10*g - 2*g - 2*g**2 + 0*g**2 - 4*g + 1. Let x(a) = 2*a**2 - 3*a - 1. Suppose -n = -4*n + 12. Suppose 8*r - n*r - 8 = 0. Give r*z(l) + 3*x(l).\nAnswer: 2*l**2 - l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 + -20. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 - 315*t + 2328.\nAnswer: 3*(t - 97)*(t - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*j + 5*j + j)*(j + j - j) - 5628*j**2 + j - 23*j + 5227*j**2 as z*j**2 + h*j + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 5, 1, 8827, 15 in ascending order.\nAnswer: 1, 5, 6, 15, 8827","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4555 * 0.026.\nAnswer: -0.011843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4023 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 767 and 5811?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 488608013 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 984 divide 3621599208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 74 - ((17 - (-12 + 41)) + 6 + -5)\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -l + 19, -5*l = -4*d - 8*l + 22. Suppose 1 = -3*j + d. Let y(h) = -h**2 + 5*h - 4. Let v be y(4). Solve v = j*a + 3 - 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + s**2 + s - 1. Let l(r) = -4*r**3 - 6*r**2 - 6*r + 19. Determine -6*g(k) - l(k).\nAnswer: -2*k**3 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2*((sqrt(80) - (sqrt(80) - (sqrt(80) + -3))) + 2 - sqrt(80)) - (3 + -3*(sqrt(80) - sqrt(80)*-2 - sqrt(80)))).\nAnswer: -2 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = k - 10, -215 = -3*q + 4*k. Suppose q*y - 73*y + 248 = 0. What are the prime factors of y?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**2*x**(-17)*x*x**12\/x*x**(2\/5))**0 assuming x is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/4*1640\/77490?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -9*v**3 - 963*v**2 + 32*v + 3595. Calculate a(-107).\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 76922.7 nanograms in milligrams?\nAnswer: 0.0769227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -b**5\/6 + 3*b**4\/2 - 9*b**3\/2 + 9*b**2\/2 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 309451, 309313, 309175?\n\"Answer: -138*c + 309589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -267 and -185?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 1. Let o(v) = -v**3 + 4*v**2 + 6*v - 3. Let m be o(5). Let c be q(m). Suppose -3*x + 15 = d + x, c*d - 13 = 4*x. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.7 - 2.3. Is b less than 3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 10 = -2*w, 10635 - 10610 = -2*w - c for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25844.8 * -229.\nAnswer: 5918459.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 11:01 AM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 452556 - -20?\nAnswer: 452606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j - 20. Let r be d(18). What is the highest common factor of 4 and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/5 + 52760578*a\/5 - 695919647723521\/5.\nAnswer: -(a - 26380289)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 58*o + 11*o**5 - 58*o + (3*o**4 - 7*o**4 + 3*o**4)*(0*o - 3*o + 2*o) - 3*o**3 - o**5 + 3*o**3 + (3*o**2 - 3*o**2 - 2*o**3)*(-11*o**2 + 6*o**2 + 8*o**2).\nAnswer: 5*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 1:07 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9643\/6 - 1582. Let d = -1801 + 3496. Find the common denominator of 12\/(-27)*d\/40 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 825 - 830. What is the second biggest value in -0.4, 16, v, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1452 rounded to the nearest 100?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -751\/45 - -152\/9. What is the second biggest value in -30, a, 9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(3520)*-2*-2 + sqrt(3520)))\/(((sqrt(25) - (sqrt(100)\/sqrt(4) + sqrt(25)))*3)\/(-2*sqrt(20) + sqrt(5)))*-1.\nAnswer: -120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 4, -3.9, -0.8, -90479 in decreasing order.\nAnswer: 4, -0.4, -0.8, -3.9, -90479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 10:59 AM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 66753*0.02583\nAnswer: 1724.22999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4\/3, -1, -30331, -5, 0.1 in increasing order.\nAnswer: -30331, -5, -1, 0.1, 4\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**2 + 7*b**2 + 7*b**2 + 6*b**2 - 2*b**2 - 3*b**2 + (-3*b**2 + 2*b**2 + 2*b**2)*(13 - 14 + 16) + 6*b**2 + b**2 + 2*b - 4*b**2.\nAnswer: 33*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 2 (b) 12 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -160.3 + 951.3. Let o = g - 791.717. Round o to 2 dps.\nAnswer: -0.72","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of l**3\/3 + l**2\/2 + l + 3. Let c(s) = 4*s**2 + 4*s + 6. Let j = -49 + 54. What is j*b(d) - c(d)?\nAnswer: d**2 + d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 15, -4*t + 2*r - 15 = -149. Suppose -4*b - 6 = -2*b. Let s be (-2)\/b - t\/72. Put -0.3, 0.5, s in increasing order.\nAnswer: -0.3, s, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1156 to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/118675 and 81\/470?\nAnswer: 237350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*(-8)\/6)\/(50\/(-15)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*p*u**3 + p*u + 166*u**3 wrt p.\nAnswer: 11*u**3 + u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 30. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-549 + 66 + 940)*(18*h**4 + 4*h**4 - 4*h**4) + (-3 + 0 - 1)*(h - 2*h**4 - h).\nAnswer: 8234*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/8))**15*(t\/t**(3\/5))\/(t*t*t**(-4\/3)))**(-1\/49) assuming t is positive.\nAnswer: t**(257\/5880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2*x + 0*x - 1590 = 0, -3*d - 2*x - 958 = 0. Let b = d - -330. Solve -2*g + 20 - b = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from odovvotvdov. Give prob of sequence do.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 10*c**2 - 8*c**2 - c**3 - 7*c**2 + 7 + 3*c. Calculate x(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from addadd. Give prob of sequence ddaa.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 154015 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4*w + 180 = 0, 9*s - 4*s + 2*w = 414. Let x = -82 + s. Suppose x*g - 4*q - 479 = -g, -314 = -2*g + 4*q. What are the prime factors of g?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 8*d - 180. Suppose -5*f = -5 - d. What is the smallest common multiple of 12 and f?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2128, 4257, 6386?\n\"Answer: 2129*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -196\/130737?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -54 - -68. What is the remainder when f is divided by (1 + -5)*1\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10\/7, 0.1, 2\/23, -181 in decreasing order.\nAnswer: 0.1, 2\/23, -10\/7, -181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-6)*0*(-5)\/(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 3. Suppose r*a - 16 = 4*t, 2*a + 13 = -0*a - 5*t. Let g = 19\/4 + -5. What is the biggest value in -1\/5, a, g?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 445 is divided by 153?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*v + 3789*v**2 + 31*v - 3859*v**2.\nAnswer: -70*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29506*x**4 - 513465 wrt x.\nAnswer: 118024*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 l when four letters picked without replacement from {v: 3, k: 2, b: 1, n: 3, l: 2, t: 9}?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from ljjjjjljjljjjljjjjj?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5565 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4*q - 2*q - 4*q + 0*q. Let y(i) = 4*i + 12. Determine y(f(a)).\nAnswer: -8*a + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -v - 4*m, 2*m - 3 - 1 = v. Let i be (-30 + v)*5\/(-10). Let u = i - -23. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24853291 + 9.9.\nAnswer: -24853281.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(225)\/(sqrt(81) + 1*sqrt(81) + sqrt(81))*1)\/(-1*1*sqrt(245)*-4).\nAnswer: sqrt(5)\/252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**3 + 290*m**2 - 6435*m + 30780.\nAnswer: 5*(m - 9)**2*(m + 76)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.1, 4\/7, -2\/3, 2, 2\/3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z + 44 - 2 - 11. Let u be y(-16). Solve u = 5*g, -3*v - 6 = -6*v - 4*g for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 5*d + 2, -4*s - 2*d + 7 + 9 = 0. Suppose s*z - 42 = 3*v + 159, 0 = -2*z - 2*v + 142. What is the remainder when z is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -266.6 - -266.6000008264. Round x to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -9 in decreasing order.\nAnswer: 4, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 84, 170, 244, 300, 332, 334?\n\"Answer: -u**3 + 93*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 4 - (-53 - -63)) + 10 + 0 + 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*z = -16, -18 = 4*k + 2*z + 2. Calculate the smallest common multiple of (k\/7)\/((-40)\/700) and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/(-6))\/(-2) - (-2)\/7. Sort 1\/4, 2\/17, -1\/9, r in decreasing order.\nAnswer: r, 1\/4, 2\/17, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 1, 81*d + 28835 = 84*d + m. Is 9 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-6)*-3)\/((-2)\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*s + 30272 = -374*s - 377*s for s.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3*b = -84. Let o = -8 + b. Suppose s - 113 = 5*k, -3*s - 4*k + 400 + o = 0. List the prime factors of s.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 23*q**2 + 103*q - 53. Let r be o(5). Solve 7*s = 11*s - r*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwx when three letters picked without replacement from wcwx.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**2 + 155 + 16*m - 155 - 4*m**3. Let l(w) = 8*w**3 - 5*w**2 - 33*w. Let p(a) = 2*l(a) + 5*u(a). What is the second derivative of p(i) wrt i?\nAnswer: -24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 37*c**2 + 100*c - 3705. Let h be f(37). Let z = -4 + -8. Suppose 2*r - 1 + 3 = 0. What is the third smallest value in r, z, h, 3\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k + 51. Calculate a(52).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3339524609 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, -141, -0.7, 0.02, 3 in ascending order.\nAnswer: -141, -0.7, -3\/7, 0.02, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -57 divided by 4\nAnswer: -57\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 3)\/(-6) + (-3)\/6\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20164 + 28569. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -72, -97, -122, -147, -172?\n\"Answer: -25*r - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xp when two letters picked without replacement from opsspxppsxxpspxspxs?\nAnswer: 35\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of -73*s**5\/15 + 5*s**4\/4 - 3*s**3\/2 - 31*s**2 - 7*s. What is the second derivative of o(r) wrt r?\nAnswer: -584","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-27))\/(-2 + 48\/27)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -131 + 127. What is the nearest to 0.1 in v, 6\/7, -23, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/7, 4\/37, 1, -610, 4.3?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 49\/21 + 2\/(-6). Suppose -3*u + 32 = i. What is the least common multiple of 6 and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f - 4. Suppose 2*x - 35 = -x - 4*y, -5 = -y. Let o = x + 0. Let p(q) = 3*q - 5. Let a(c) = o*p(c) - 6*u(c). Calculate a(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16844 and 42110.\nAnswer: 84220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1743, -72064, -2.\nAnswer: -72064, -2, 1743","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mdmm when four letters picked without replacement from {m: 9, d: 2}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -r**3\/3 - r**2 - r + 4. Let g be a(-1). Solve 3*l = -2*s - g*s, -3*s - 3*l = -3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22 in 0, 0.9, -5\/2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 8*w - 84. What is the lowest common multiple of o(13) and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 + 2 + (2 - 1) + -3 + -8 + 4.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*i = -59*i - 128*i + 12840. Suppose -a = 2*a - 60. What is the highest common factor of a and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -0*u - 30. Let t(o) = -o + 1. Give t(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1338*b**5 - 253*b**4 - 9*b**2 + 3*b + 772 wrt b.\nAnswer: -80280*b**2 - 6072*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1395 a factor of 1760414528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/8*(-3)\/9*(-184)\/2622?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 194\/(-36)*2 + 4 + 7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7851 divided by 3?\nAnswer: -2617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/15 + 356732*w\/15 + 8089008\/5.\nAnswer: -2*(w - 178434)*(w + 68)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1025.78 and 4967?\nAnswer: 5095049.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/sqrt(32))\/(1*sqrt(192)) + (3*sqrt(5)*-5 - (sqrt(5) + sqrt(875)\/sqrt(7)))**2.\nAnswer: sqrt(5)\/16 + 2205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 - -23. Let u = -0.8 + 1.8. Let l = 0.09 - -1.91. Sort u, l, y in descending order.\nAnswer: l, u, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*n - 128*n + 2*n**3 + 65*n.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, v: 3, a: 1, d: 2, m: 5}. What is prob of picking 1 x and 2 m?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 1 - (-1 - (-8 + 8) - -2)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of t**2*u + 6*t**2 + 17*t*u - 2*t + 3*u**2 - u - 100 wrt u?\nAnswer: t**2 + 17*t + 6*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -320*j**2 + 4306*j**3 - 301*j + 301*j - 1377*j**3.\nAnswer: 2929*j**3 - 320*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4\/47 - 101\/470. Sort z, -2\/13, 2 in decreasing order.\nAnswer: 2, -2\/13, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-3\/5))\/g*g**(5\/4))**(4\/5)*g**(-1\/5)\/(g*g*g**(1\/7)*g)*g**5*g**5*g*g assuming g is positive.\nAnswer: g**(1774\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.269 + -0.30076. Round d to three dps.\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + -4 - -5 - -2. Suppose 5*p + 2 = 3*o - 18, 3*o - 4*p - 25 = 0. Suppose -v - 4*v = -o. Solve -v*g + 3 = 5*l - 0, -j*l + 13 = -g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/(54\/12)*-1*30. What is the highest common factor of 90 and z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3\/5*b + b**2 - 1\/5*b**3 - 9\/5 = 0. Calculate b.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-115)\/69 + (-44)\/(-3). Let a(b) = 4*b + 19. Let y(l) = -2*l - 9. Let q be (0 + 1)\/(-1)*-6. Determine c*y(z) + q*a(z).\nAnswer: -2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 5*d - 51, -9*c + 2*d - d - 71 = -100 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 76 - 81.3. Let u = m + -6. Round u to 0 decimal places.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b*b**(-12)))\/(b\/(b\/(((b**(1\/5)\/b)\/b)\/b))))\/(b**(-1\/4)*b**(-6\/11)) assuming b is positive.\nAnswer: b**(3211\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {d: 2, r: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 13*x + 261. Let s = 37 + x. Let l(w) = 2*w - 10. Calculate l(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.048 rounded to one dp?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 356529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -24*r. Let q(k) = -214*k. Calculate t(q(g)).\nAnswer: 5136*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7085611.\nAnswer: 13, 37, 14731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/50 and 29\/826.\nAnswer: 20650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*c**2*i**3 + 17*c**2*i - 4*c*i**3 - 753*c*i**2 - 555*c*i - 2*i wrt i?\nAnswer: -60*c**2*i - 24*c*i - 1506*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p + 5*p + 2*p + (10 - 10 + 5*p)*(-3 + 0 + 2) + 0 - 2*p + 0 - 6*p + 2*p + 2*p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 1538*f**2. Let g(w) = -2*w**2. Determine j(g(z)).\nAnswer: 6152*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 19. Let y be (-14)\/(-3) - 4\/g. Let u = 6 - y. Which is smaller: 3\/2 or u?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1099 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2108831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3328.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -74569 or -74570?\nAnswer: -74569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of 1\/14*k**4 - 13\/7*k**2 - 2*k - 10\/21*k**3 - 23. Factor o(b).\nAnswer: 2*(b - 7)*(b + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (17\/68)\/((-1)\/5)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 5. Let m(x) be the third derivative of 5*x**4\/12 - 27*x**2 - 1. Calculate m(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 626283135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 71 - 235 = 0. Let r = s - -63. What is the smallest common multiple of 30 and r?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a gram in milligrams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -2*u + 5*l - 12, -4*u + 12 = -2*l for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -3*b + 1, 3*k - 3*b + 11 = -2*b. Let n be -4 + (3 - -1) - k. What is the third derivative of 4*x**2 + x**6 + 3*x**6 + n*x**6 wrt x?\nAnswer: 960*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/234724 and 99\/152?\nAnswer: 8919512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-1\/3)\/l*l)\/l)**16)**(-15) assuming l is positive.\nAnswer: l**320","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in 1\/3, -2, 1\/2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -795*j + 797*j + 6 = 2*k, 2*k = 3*j + 5 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 425\/(-2125)*(-18)\/63\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pyssspyyspsps. Give prob of sequence ys.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 10*q + 23. Let z be a(-7). What is the third derivative of -164 - 23*s**z + 164 - 13*s**2 + 17*s**3 wrt s?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*w - 14*w + 28*w.\nAnswer: 69*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 1202359b?\nAnswer: 1202359b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1054 divided by -1\nAnswer: 1054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 3 (b) -3\/5 (c) -7 (d) -536\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 7:06 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 1:55 AM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 30*i**2 + 104*i - 4. Is h(-43) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 + 3)*90\/9. Put -2, r, -3 in ascending order.\nAnswer: r, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**3\/15 - 26314*y**2\/15 - 9066626*y\/15 - 1808062\/3 = 0. What is y?\nAnswer: -335, -1, 13493","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5528\/11 - -503. Let k = -9.45 + 9.55. Which is smaller: f or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14208, 19131, 24054?\nAnswer: 28977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 302859769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + x + 4. Let n be a(-4). Let b = -16 + n. Suppose 3*z - 43 = -r - 4*r, -5*z + 2*r + 51 = b. Is z a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -55*m**5 + 13960*m**4 + 88395*m**3 + 1640*m**2 - 88340*m - 15600 = 0.\nAnswer: -6, -1, -2\/11, 1, 260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - u - 297 = -1229, -u = -2. What is the remainder when j is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 261*25\nAnswer: 6525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 1293264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + -1 + 3\/1. Suppose 3*d + 4*r + 11 = p, 4*d - 2*r - 3*r = 6. What is the smallest common multiple of 9 and 1\/(d\/(-13)) - 3?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20 - -8) + 18 - 10\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.001 - 5.001. Let p = -6 - m. Let y = 10 - 4. What is the third smallest value in y, p, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 49547, 99078, 148603, 198122, 247635?\n\"Answer: -3*l**2 + 49540*l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o - 12. Let s be l(0). Let n = 8 + s. Let m = n + 4. Is m greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 522 and 6069381.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13.35 + 1.25. Let m = w + 12. Let r = -6 + 1. Which is the biggest value? (a) r (b) 4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3*m = 200. Let j be (-190)\/(-3 + 598\/m). What is j rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1023479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 6*x**2 + 2*x + 1. Let u be k(5). Let y(d) = 2 - 1 - u*d + 1. Let q be y(4). Round q to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -13 and -11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -19125, -15877, -12629?\n\"Answer: 3248*z - 22373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 10\/9) + (-3)\/(-3)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-154))\/(2 + (-30)\/20). Let s = v + -5\/11. What is the nearest to -1\/6 in -1\/3, s, 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14000129.\nAnswer: 11, 13, 17, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 203, 784, 1365?\nAnswer: 1946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 140460 != 121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - x - 12 = 0. Let b(s) = 0*s + 0*s + s**x + 0*s**2 - s. Let j be b(2). Solve j*m - 1 - 3 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9 and -10.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 3*z - 12, -3*z + l = z - 16. Suppose 14*x - z*x = 8510. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 6. Let z be (-4806)\/(-12) + h\/2. Suppose -3*j = -8*j + z. Is j a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7487 times -2?\nAnswer: 1.4974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 5:06 PM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -2*v + 19, -v + 5*b - 17 = -2*v. Suppose -v + 0 = -c. Suppose i - c + 3 = 0. Is -1\/2 bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-10 - 0 - -7) - -2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3008*b - 2843*b - 4362 - 4306 + 1078 = 0 for b.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1997248 by 45392.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i + 0*i + 2*i**2 + (-3*i**2 + 2*i**2 - 4*i**2)*(-2 - 3 + 2) in the form o*i + s*i**2 + n and give s.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 181 - 151. List the prime factors of 2705\/(-4)*48\/i.\nAnswer: 2, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6316?\nAnswer: 2, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 divided by 5846406.\nAnswer: -11\/1948802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v + m = v - 401 + 390, 48 = 3*v + 2*m for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -2*n - 2*x - 29, 2*x + 6 = -x + x for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.079 + -0.15. Let v = 178.865 - 178.7939902. Let f = g + v. Round f to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**3 - 150*g**2 + 278*g + 1032. Calculate c(73).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*s + 364*s - 81*s - 72*s - 64*s - 78*s + 13.\nAnswer: -s + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 2:41 AM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/3 - 111167*b**2\/3 + 3113452511*b\/3 - 1327363530337\/3.\nAnswer: (b - 55367)**2*(b - 433)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4709040*m**3 + 560515*m**2 + 7*m + 1.\nAnswer: 28254240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16398436.30314504 + -136006610.3268567. Let i = 152405045 + p. Let q = i + 1.63. What is q rounded to seven decimal places?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22403 + 94302. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -1, 11, -4\/3, -1\/40, 2\/27, 8\/29, -0.1?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 1238, 1, -25, -5, -2.\nAnswer: -25, -5, -4, -2, -1, 1, 1238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2798, -4 in descending order.\nAnswer: 3, -4, -2798","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 10 + 1904\/(-51)*30 + -2. Is l equal to -1111?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -25 + 277. What is the greatest common divisor of b and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2475 and 456.\nAnswer: 376200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u - 3. Let i(g) = g**3 + 4*g**2 - 3*g + 7. Suppose 3*p + 2 + 22 = -3*b, -2*p + b = 7. Let q be i(p). Let k be v(q). Solve k = -2*z - 6 + 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11378999519\/15551538442 - 9\/6255647. Let s be 1806\/(-452) + 1 + 3. Let v = r + s. Which is smaller: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/64 of a millisecond in nanoseconds?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 449 is divided by 335.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.12 - -0.04. Let u = h + -0.2. Let k = 762.2 - 761.2. Which is bigger: u or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9602399 * -35.\nAnswer: 336083965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/161530085 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 353\/21057?\nAnswer: 353\/21057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*p + 67. Suppose p*t - 820 = 8*t. Suppose 2*x = 4*s + t + 203, 3*x + s - 640 = 0. Is 53 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -145 - -3?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 7 = 3*b, 9*u - 4*b = 13*u + 8. Let l = -1.2 - -6.2. What is the nearest to u in 0.3, -10, l?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*t + 3*t + 3*t + t to b + v*t and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 2*l**2 - l + 2. Let j be h(2). Let p = -8 + j. What is the lowest common multiple of p and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 11636316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*n + 27 - 105. Solve 4*f - n = -3*k, 4*k - 2*f - 3*f - 4 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15\/(-2)*(-8 + 66\/9). Solve -21 = -5*b + u, -11 = -4*u + w for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 22 = -2*z, -3 + 33 = 3*z - 5*y. Solve -z*k - 4*v + 15 = -20, 34 = 3*k + 5*v for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*a**3 + 2420*a**2 + 2504*a - 48480 = 0. Calculate a.\nAnswer: -5, 4, 606","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/313374 and -33\/31030?\nAnswer: 167655090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 rounded to 0 dps?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 8 + -5 + 3 - -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 41 = -4*y, 5*q - 30 - 7 = 3*y. Sort -1, y, -5, 120.\nAnswer: -5, y, -1, 120","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 423 + -404. Is s bigger than 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-23)*r**(1\/18)*r)**13)**(6\/11) assuming r is positive.\nAnswer: r**(-5135\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e, 1 w, and 1 y when four letters picked without replacement from {v: 4, n: 3, w: 2, y: 3, e: 7}?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15213 is divided by 4980.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(4 + sqrt(75))*4 + -4 + 1)**2.\nAnswer: 2320*sqrt(3) + 5641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 5*i**2 - 6*i - 2. Is 7 a factor of w(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 123 = 5*k - 50, 3*l - 31 = -k. What is the greatest common divisor of 4 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (-8 - (65\/13 + -16))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + 4*q + 4. Suppose 0*k - 26 = -3*k + 2*b, k + b = 2. Let f(y) = -9 + y - 3*y**2 + y**2 - 10*y. Calculate k*f(s) + 13*d(s).\nAnswer: s**2 - 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 101.728 - 104. Let q = o - -0.272. Which is the closest to 0? (a) q (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -5*s - 28 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 57*k - 61*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 15. Suppose -14*o = -6 - 8. What is the third smallest value in -3\/5, c, o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79952 divided by 2.\nAnswer: -39976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37\/((-74)\/4)*2\/4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**4\/7 - 32*n**3\/7 + 152*n**2\/7 - 192*n\/7 = 0. Calculate n.\nAnswer: 0, 2, 6, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 19103 to the power of 1\/2, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 11*y - 6*y - 2*y - 4*y. Let j(f) = f. Let a(h) = 2*j(h) - l(h). Let o(p) = -8*p**2. Give a(o(t)).\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2*c + 42 = 0, 0 = 2*j - 3*c - 13 - 24. Let f = 212 + -186. Let p = f - j. Are p and 3\/16 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 3*g + 5 + 5, 2 = x. Let j(s) = s**2 - 2*s. Give j(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37001 + 37007. Solve 0 = 9*w - 6*w - 4*f - 12, -w - 2*f = s for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 248750, 497500, 746250, 995000?\nAnswer: 1243750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 14 = -3*r, 0 = 4*r + 2*f - 9 - 13. Suppose -12 = 2*d - 4*u, 0 = u - r - 1. What is the least common multiple of 4 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -4*c**4\/3 - 388*c**3\/3 + 7628*c**2\/3 - 4692*c + 2280 = 0?\nAnswer: -114, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 3*s - 11, -s - 5*d - 5 = -2*d. Which is the nearest to s? (a) -5 (b) 0.2 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -6*i - 6. Let s be c(-3). Solve 0 = -o - 9 + s for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2122, 3174, 4226?\n\"Answer: 1052*r + 1070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11188099?\nAnswer: 13, 860623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1959, 3914, 5869?\nAnswer: 7824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5*(3\/(-1) - -2). Let s(w) = -w**2 + 25*w - 46. Let o be s(22). Suppose -30 = -5*h - o. Solve -h*y - a = 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -1 + 0 - -3) + -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jbjjbjjcjlbjjlbjjbjc. What is prob of sequence ccl?\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -4*o - 17 + 3*o + 28. Let a be k(9). Solve a*w = 5*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 9*g. Let j(i) = -171 - 3*i - 13*i + 171. Let d(q) = 5*q. Let a(t) = -10*d(t) - 3*j(t). Give a(n(y)).\nAnswer: -18*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 4*x + 2*i - 43 = -18, 0 = -4*i + 20 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 631263963?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19.2 - 1.8. Let n = w - -20.88. Let g = n - -0.08. Sort -0.3, g, -5 in ascending order.\nAnswer: -5, -0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 232190630 - 232190659.00000084. Let f = -29 - m. Round f to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2.884, -4\/9 in decreasing order.\nAnswer: 2.884, 1, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 11848501\nAnswer: -3\/11848501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 + 1200*k - 1195.\nAnswer: -5*(k - 239)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -6*p - 1. Let h be ((-26)\/(1 - 2))\/1. Suppose -w + h = -p. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*t - 64 = -3*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 12) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 7*v + 2. Let f be k(-6). Let y be (-10 - -8)*14\/f. What are the prime factors of y + 9 + 6\/(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k - k - k + (-4*k - k + 4*k)*(0 - 2 + 0) - 28*k + 190 - 190 - 6*k + 9*k + 13*k.\nAnswer: -8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1145 by -1145.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/132 and -101\/132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one tenth of a gram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -5. Is (28\/8)\/(c\/12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 378583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -4*h + 639, -4*q + 142 = h - 14. Round h to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (2 - ((5 - 4) + 5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(4608)*1*5 - -4*(-1 + sqrt(4608))*1)**2.\nAnswer: -11136*sqrt(2) + 3875344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*r + 0*r - 6*r)*(-17 + r + 2*r + 9).\nAnswer: 33*r**2 - 88*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-42)*-2)\/(123\/(-984)).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssks when four letters picked without replacement from kskskkcksskncksskks?\nAnswer: 105\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18377 + 18380. What is the smallest value in 0, 9, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -25034*d - 200255. Determine l(-8).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 v, and 1 t when three letters picked without replacement from ppvahaaavhaapvtp.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190 is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/120 and 99\/640.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 102*j**2 + 20*j + 26. Is w(-6) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from xxxxxxddxcdxd?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 4*o = 36, 3*i - 3 = -o + 30. Let j = 13 - i. Suppose 5*u - j - 94 = 0. Which is smaller: u or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 383 divide 502496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 11267 + 11245 = v, -4*v = 3*l + 55 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 8*j + 86. What are the prime factors of c(9)?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -56*a + 102. Let g(v) = 201*v - 308. Let o(k) = -2*g(k) - 7*y(k). Calculate o(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kcdkkdookdkdkoo. Give prob of picking 1 c, 1 o, 1 d, and 1 k.\nAnswer: 32\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/16976 and -49\/84880?\nAnswer: 84880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c + 3. Let h be j(2). Let q be 7*(-99)\/(-77) + 56\/(-14). What is the closest to h in q, 0.2, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5260 + 1292. Is x a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21? (a) 107795 (b) 3\/5 (c) -0.3 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 44 - (-1 - 4)) + (7 - -1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + 5*v + 4. Let o(h) = -4*h + 2*h**2 - 3*h - 3 + 3*h. Let r(y) = 5*o(y) + 4*u(y). Differentiate r(q) wrt q.\nAnswer: 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 106886\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 4147523.61 to the nearest one thousand.\nAnswer: 4148000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 7*u**3 - 13*u**2 + 6*u - 24. Let s(t) = 22*t**3 - 40*t**2 + 18*t - 75. Let g(k) = -19*f(k) + 6*s(k). Determine g(7).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.4642, -0.4, -6, -581, 0.1?\nAnswer: -581","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -147, 737, 2291, 4515?\n\"Answer: 335*j**2 - 121*j - 361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 564 and 116748.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*6\/10*5\/(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.05 - 0.45. Let s be (368\/(-69))\/((-1)\/3). Let w be (1\/s)\/(20\/80). Which is the second biggest value? (a) k (b) -5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 727607653 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5480 and 2.\nAnswer: 5480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u\/(u\/u**(-25))*u))\/u*u*((u*u**(-8\/7))\/u)\/u*u assuming u is positive.\nAnswer: u**(174\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j. Let q(i) = -3*i - 3. Let k(f) = 2*f**2 + 34*f + 34. Suppose -28*m - 1292 = -47*m. Let h(z) = m*q(z) + 6*k(z). Determine h(d(u)).\nAnswer: 108*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12119\/18 + -672. Find the common denominator of -7\/16 and i.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-7)*2*-7. Let k(p) = -12*p - 2. What is k(t)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 1 = 5*t, -3*t - 4*d + 9 = 2. Suppose 0 = -5*p + t + 1284. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - (46 + -41)) + (35 - 0).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/(-3248))\/((1\/4)\/((-6)\/((-30)\/5)))?\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 16 + 9 = 0, 3*a - 2*p = 40. Let u = a + -5. Let k(y) = y**2 - 5*y + 2. Let m be k(u). Solve -2 = -h + m for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 866272326 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -4*f**3 + 212*f**2 + 2007*f - 2031. Determine o(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 2*a**2 + 70. Let w be j(0). Suppose -w - 73 = -b. Calculate the greatest common divisor of b and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 5*a**2 - 4*a - 1. Let i be d(-6). Let p = -8 - i. Solve 4 - 24 = p*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.02, -6, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 132, 2279, 6442, 12621, 20816?\nAnswer: 31027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/21 + (-17 - 1310\/(-70)). Determine l so that 0 + 2\/3*l**f - 10\/3*l = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 6*u - 16. Is 10 a factor of g(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2786120 divided by -5\nAnswer: 557224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 6:54 PM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at most 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -7*k. Let y(w) = -w - w + w + k. Let g(b) be the third derivative of -b**4\/12 - 11*b**2. Determine y(g(v)).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 0.2 (b) -4\/9 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 4*m - 9. Let b(p) = 10*p - 22. Suppose t - 15 = -3*l - 48, 2*t + 18 = -2*l. What is l*a(i) + 5*b(i)?\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5*b + 21 = 2*c, 0 = -4*b + 16. Let d(x) = x**2 + 28*x + 51. Let r be d(-19). Find the common denominator of 1 + c - 178*1\/r and -125\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 4\/107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 171.06 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 184*k**3*l**3 + 483*k**3*l + 23*k**3 - 3609914*k**2*l**3 - 2*k**2*l**2 wrt k.\nAnswer: 1104*l**3 + 2898*l + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 - 170 = -4*z. Suppose -6*x + z + 18 = 0. Let u(f) = -f**2 + 10*f + 4. What is the remainder when 24 is divided by u(x)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - b - 3 = 0, -3*n - b = -8*n + 10. Suppose h = -2*d + 21, 3*h - n + 55 = 3*d. Does 13 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 9:29 PM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.27991 to 1 dp.\nAnswer: -8.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*o = -130*o - 3*v - 10, 14 = -2*o - v for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (((-3)\/10)\/((-48)\/(-40)))\/((-396)\/96)\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15049184 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -4, -49\/18, -1\/3, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1421 + 65*l**3 - 1421)*(-6 - 2 - 3 + (5 - 3 - 3)*(-3 + 2 + 3)).\nAnswer: -845*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1953 and 36121743?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**2\/5 - 1272710064*d\/5 - 202473863375860512\/5 = 0.\nAnswer: -318177516","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 6:41 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-895)\/(3 - -2) + 0)*-2. Let w = -355 + k. What is the remainder when 3 is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) 4900 (c) 2\/7 (d) -1\/3 (e) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35959966*b**4 + 3*b**3 + 2437801*b - 2 wrt b.\nAnswer: -431519592*b**2 + 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 0.9.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0014085271 to 5 dps.\nAnswer: -0.00141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2485 - -2490. Solve 10*j - 10*j = -f*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c (base 15) in base 9?\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12820256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4672300 and 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-120)\/560 + (-2)\/(-4) + (-33573)\/(-21). What is the highest common factor of y and 246?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 s when two letters picked without replacement from {g: 6, s: 12}?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 4 + -1 - (0 + -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f - f + 3*w - 35, -4*f - 60 = 4*w. Let z = -8 - f. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 + 3*a + 11. Let c(p) = 2*p - 13. Let r be c(9). Let y(m) = 2*m + 5. Let q(w) = r*y(w) - 2*t(w). Let f be q(-2). Solve f*j - 11 = -2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1201510 divided by 138.\nAnswer: 600755\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 2*s - 112, -91*i - 54 = -s - 92*i. Calculate the remainder when 153 is divided by s.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 2*w - 8, -4*j - w = -0*w - 32. Let y(c) = c**2 - 8*c + 2. Let z be y(j). Solve 0 = -g + z*g - 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.084 times -0.263\nAnswer: 0.022092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 322010393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8 + 11)*(-1)\/3. Let g be (3\/(-1))\/(0 + j). Let c = -27 - -43. Solve 0*x - 2*x = g*k + c, 0 = x + 5*k + 22 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 4*d + 2*d)*(0*d + 3*d - 5*d)*(3*d - 3*d - 7*d).\nAnswer: 42*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -179 - -194. Let d(o) = -o**2 - 16*o + 23. Let h be d(-11). Let y = h + -51. Calculate the smallest common multiple of x and y.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/((-111)\/(-57) + 4 + -6). Let j = 57 + g. Suppose -8*p + 6 + 2 = j. Solve -b + p = -x - 0, 0 = 4*b - x + 5 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -92131447.984 - -93570706.78343. Let c = -1439168.8 + r. Let p = c + -90. What is p rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543.992 tonnes in kilograms?\nAnswer: 543992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -r + 0*r**3 + 1\/6*r**4 + 0 + 0*r**2. Let l(b) = -5*b**2 - 4*b**2 + 10*b**2. Calculate p(l(u)).\nAnswer: 2*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -2.6. Let t = -25.4 - -29. Let o = t + r. Which is the second biggest value? (a) o (b) -3\/5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15529 = -56*d + 12527. Suppose -476*n = -d*n + 75. Factor -17\/4*p**2 + 0 - 1\/2*p + 21\/2*p**n.\nAnswer: p*(2*p - 1)*(21*p + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7419124*r**4 + 12236158*r**2 wrt r?\nAnswer: -178058976*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -326, -652, -978, -1304?\n\"Answer: -326*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 296900*s**3 - 41*s**2 - s + 41*s**2 + 151244*s**3.\nAnswer: 448144*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -192, -374, -544, -696, -824, -922, -984?\nAnswer: -1004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - 5 - -25 - 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ziiiizi. What is prob of sequence iizz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8514233.\nAnswer: 7, 13, 93563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 155680338 to the nearest integer?\nAnswer: 12477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 13*b**2 + 4. Let s be (4 + (-45)\/(-18))\/((-1)\/2). Let c be g(s). Let r be (-2)\/(-6) - (-8)\/3. Solve -2*t - t = -r, 3*t - 15 = -c*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2\/7)\/(y\/(y*y**(-1)*y))*(y*y**(-1\/4)*y)\/y**(-2\/3)*((y**(2\/7))**36)**29 assuming y is positive.\nAnswer: y**(3605\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - ((15 - -26) + -17) - (-1 + -43).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 6.5202561 minutes?\nAnswer: 0.004527955625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/(-14))\/((-3)\/44)*(-1577)\/1577\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 18\/979, 3, -8, 1, -181\/5, 5 in decreasing order.\nAnswer: 5, 3, 1, 18\/979, -8, -181\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qmj when three letters picked without replacement from jmjqmjmmqjbrmjjmm.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -15519 minus 0.004?\nAnswer: -15519.004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4914713609?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than 7349.8?\nAnswer: 7349.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 2*v**2 - 3*v + 47. What is t(5)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-3)*285\/(-76)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 4*x = -32, -6*y + 5*x - 14 = -3*y. Let a = -8 + 11. Suppose 4*k = 0, a*c + c + 56 = 2*k. Are y and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 2*v**2. Let y(c) = -101*c**3 + 4*c**2 + 2*c. What is -2*k(o) + y(o)?\nAnswer: -99*o**3 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1356 is divided by 85?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 5) + 2 - ((-4284)\/(-234) + -18)\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -240, -484, -728, -972?\n\"Answer: -244*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19798021 to the power of 1\/2, to the nearest integer?\nAnswer: 4449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 0 - (-141 - -147).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 38698133 to the power of 1\/3, to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 17*v**2 - 16*v. Let q be o(16). Suppose 3*c + 3*b = 2*b + 2, q = 2*b + 2. Which is bigger: c or 2\/69?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + r - 2*r)*(0*r - 2*r + 64*r**2 - 63*r**2)*(r - 2*r - r).\nAnswer: 4*r**4 - 8*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 6*k**2 + 49*k + 130. Let g be a(-5). Solve 65 - g = -10*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -708 + 709. Solve 3*d = s - z - 15, s - 4*d = 21 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 3*z**2 + 2*z - 12. Let t be n(6). Let g = -106 - t. Is 10\/17 < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1297 - -1884. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of -h**3\/6 + 2*h**2 + 4*h. Let p be c(2). Differentiate -6*b**p - b**2 - 1 + 3*b**2 + 3 with respect to b.\nAnswer: -8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 4610456?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 186061 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 2 - (5 - 6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/(-27)*9\/(-6)*3. Put -0.1, q, -3, 2\/9 in increasing order.\nAnswer: -3, q, -0.1, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272)*-2 + -2 + sqrt(272) - (-1*(sqrt(17) + 1) - (sqrt(17) + -3*sqrt(272)))) + 3)**2.\nAnswer: -56*sqrt(17) + 3336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1205\/2121 + -1\/303. Sort 2, u, 1 in decreasing order.\nAnswer: 2, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 47411416?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 4*c - 11, -3*c = -2*t - 1 + 8. Suppose -23 = 2*k - 3*k + t*g, 20 = -4*g. Let l be 2 + (-2 + 3)*k. Solve -n + 6 = 4*y, -10 = 5*n - l for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2 - 58*h - 50*h + 162*h - 52*h. Calculate the remainder when 12 is divided by q(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 522418.\nAnswer: 2, 13, 71, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4*z + 7 = -2, 11 = 3*c - 4*z. Let f(y) = 11*y. Let m(p) = p. Let n(l) = c*m(l) - f(l). Let t(a) = a. Give -n(h) - 3*t(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3*k**2. Let d(u) = -2 + 2*u - 1 + 3. Calculate f(d(r)).\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -100010001011001010011010000?\nAnswer: -100010001011001010011001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110 + -33 + -6 + -17.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-4 - (-3 - -2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1778 + v + 1778.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 - 2)*(1433*h + 225*h + 841*h) as x*h + f and give x.\nAnswer: -4998","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(1573) + sqrt(1573) + 2) + 1 + -3)**2 - (0 + (4*1*sqrt(1573))**2 + (2*(sqrt(1573) - (sqrt(1573) - (sqrt(1573) - (sqrt(1573) + 0)))))**2))*4.\nAnswer: -75504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 207\/2 - 423\/4. Suppose 3*z - 123*n + 4 = -118*n, 4*z = -2*n - 14. Let a = -278 + 273. Sort a, 2\/13, d, z in descending order.\nAnswer: 2\/13, d, z, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -65600 - 2139*i**2 + 32845 - 3*i + 32810 wrt i?\nAnswer: -4278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + 7*w + 2. Let p be i(4). Solve -2 = 4*j - p for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q + 2*q + 3 + 16*q.\nAnswer: 22*q + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43 and 113\/25758?\nAnswer: 25758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 484 (base 9) in base 16?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/((-9)\/((-9)\/(-2))). Let n = -0.8 - -1. What is the biggest value in 0.4, x, n?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 - 14. Let a = d + -11. Suppose 12 = -a*p + 8*p. What is the smallest common multiple of p and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 2*m - 16, -128*v = -3*m - 125*v + 21. Let c(y) = -y**3 + 5*y**2 - 3*y + 4. What is c(m)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 91*r**2 - 486*r + 138612 wrt r.\nAnswer: 182*r - 486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 less than or equal to 28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.34310912 plus -25?\nAnswer: 51.34310912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -129070 divided by -12907.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qgdu when four letters picked without replacement from {g: 7, n: 4, q: 1, d: 4, j: 1, u: 2}?\nAnswer: 7\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 185 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 7:48 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5129 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: Round -0.0086448726 to four dps.\nAnswer: -0.0086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 2\/135 (b) 2\/7 (c) 2\/5 (d) -101\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 9, -4*v + 27 = -26*x + 27*x. Solve -2*s - v = 4*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2957?\nAnswer: 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-96 - 4) + 3 + (2 - (8 - -15 - 16))?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 29260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 67763 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c + -22?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**3 + 5*l**2 + 7*l - 16. Let a be s(-4). Let b be 3 - 1 - 70\/1. Let z = a + b. What is the highest common divisor of 32 and z?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 864 and 378.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -10*a**3 + 8*a**2 + 5*a + 24. Let w(h) = 3*h**3 - 3*h**2 - 2*h - 8. Let s(q) = -7*w(q) - 2*y(q). Determine s(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 144\/(-308) - 4\/(-22). Let u = 1730 + -3463\/2. Which is the fourth biggest value? (a) -21 (b) 0 (c) f (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 744294?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f - 4*f + 3*f)*(18*f - 19*f + 22*f).\nAnswer: -63*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of 7*i**2 - 8*i + 28. Let z(c) = 9*c - 5. Let h(a) = 5*d(a) - 8*z(a). Is h(-17) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3 - u**3 + 14*u**2 - 6*u - 18 - 2. What is the remainder when i(13) is divided by (22 - 2) + -1 - -1?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03 * -36.\nAnswer: 1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 107676 + 1?\nAnswer: 107677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - h - 166 = 4*d, 0 = -4*d - h - 133. Suppose -v - 2*v + 21 = 3*c, -5*c = -2*v - 70. What is the lowest common multiple of 2\/4 - d\/6 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 4:00 AM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 19*r - 24*r - 16 - 13 = 0, 7*r + 0*r = 5*m - 37 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 328\/176 + 4*-1 and -51\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*k = -1961 - 2089 for k.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6 + 9\/(-12)*-14)\/2. Which is smaller: x or 113?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**(3\/16)\/g*g*g**(2\/23)*g)**13 assuming g is positive.\nAnswer: g**(15665\/368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1397730352?\nAnswer: 2, 37, 2361031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b**(-3)*b*b)\/b)\/b)\/b*b**(1\/3))**(13\/3) assuming b is positive.\nAnswer: b**(-104\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o - 6. Let q be b(4). Let g(f) = -4*f**3 - 2*f**2 + 3*f + 2. Let j be g(q). Let r be 5*4*3\/j. Solve 1 + 2 = -5*w - r*n, -4 = 3*w + 4*n for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*i - i + 77 - 35*i**5 - 76 - 13*i**5 wrt i?\nAnswer: -960*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67987 is divided by 82.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*n - 5*n - 2 - 17*n - 9*n**3 to o*n + x*n**3 + k + r*n**2 and give x.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*l + 4007*l**2 + 2*l - 4006*l**2 + 2 in the form a + f*l**2 + i*l and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 0 = -22. Let v = m + 14. Suppose -4*b = v*g - 43, g + 33 = 3*b + 3*g. Solve b + 3 = 4*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3111419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97546*l = 97489*l + 342 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + 6*c + 2. Let y be (25\/(-15) - -2)\/(2\/72). Let h be (90\/y)\/((-4)\/8). What is the hundreds digit of g(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1234*d - 3870*d - 6063 = 137047 - 21854 for d.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -5*n + 20. Suppose 0*q - n*q = 0. Suppose -3*g + q = -33. List the prime factors of g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1685, -1686, -1687?\nAnswer: -1688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -557367*z**2 + 793985*z.\nAnswer: -1114734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/2384 and ((-1050)\/(-84))\/25 - (-598)\/(-1192)?\nAnswer: 2384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 1 + 3*s + 1.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4687666 - 13027166. Round v to the nearest 100000.\nAnswer: -8300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1500314*x = 5*n - 1500311*x + 27, -3*n + 6*x = -54 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 20 = 0, -y = -5*z + 3*z + 116. What is the remainder when 4\/26 - (-206)\/13 is divided by (-6)\/8 - y\/16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -30*f - 13. Let o(v) = -19*v - 14. Let z(q) = -3*o(q) + 2*s(q). Calculate z(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 750, 1501, 2252, 3003?\n\"Answer: 751*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*k - 2 = 0, 6 = -0*d + d - k. Suppose -3*o = -3, -d*q - 2*o + 35 = 3*o. Solve 9*g + 9 = q*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjppjjkpj. Give prob of sequence jj.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 39940429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + a + 0*a - 15 = 0, 0 = -2*l + 3*a - 11. Put l, -1, 0, -2 in descending order.\nAnswer: l, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -421865 rounded to the nearest 1000?\nAnswer: -422000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 9 = -2*p. Let m(k) = -5*k**2 + 161*k - 25. What is the smallest common multiple of p and m(31)?\nAnswer: 1449","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1435014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ynnr. Give prob of picking 1 y and 2 n.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4*n + 43 = -n, -n = 2*w - 31. What is the fourth smallest value in w, 2, 4\/3, -6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*z - 117 = -7*z. Solve 0 = 5*g - 2*h + z + 5, -5*g = -h + 9 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2 + 4264*z + 127020.\nAnswer: -4*(z - 1095)*(z + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 34, -5660, -32, 0 in decreasing order.\nAnswer: 34, 0, -3, -32, -5660","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 259572 divided by -35.\nAnswer: -259572\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 2, 1657 = 2*k + 3*k + 3*r. Suppose -u = 4*z - k, -2*z - u + 85 + 83 = 0. Let h = -413\/5 + z. Which is greater: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*b - 27*b = -8. Let g(j) be the first derivative of 1 + b*j - 1\/2*j**2. What is the derivative of g(o) wrt o?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -r**7\/210 + r**4\/3 - 3*r**2\/2 + 3*r. Let b(n) be the first derivative of u(n). Find the second derivative of b(q) wrt q.\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135\/(-330)*12\/27?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d + 39324 = 45*d. Let t = d - -15. Is 11 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 + 4 + -2 - 2. Let f be 40\/(-80)*(-3 + 2 + -1). Solve -d = -y + 1, d + 2*y - j*y - f = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 - -16. What is the hundreds digit of (334 - a)*(5 - 8)\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 305526652 or -2?\nAnswer: 305526652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2\/213948611?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 6. Is b + (-3 - -2) - -52 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 1737*f - 62756. Calculate h(36).\nAnswer: -1520","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4205622 centuries to months.\nAnswer: 504.67464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 33904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 335.67 + -333. Let c = p + -2.87. Let k = -13\/2 - -7. Sort 3, k, -0.4, c.\nAnswer: -0.4, c, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1*sqrt(245) + -1 + -2*sqrt(245)*2 + 4)**2.\nAnswer: -210*sqrt(5) + 6135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/((-88)\/(-20) + -4). What is the nearest to -2\/7 in 4, 2, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23 and 186384479?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 106 = 4*h - 113, -3*t + 2*h - 219 = 0. Let k = t + 145. Let o = 143\/2 - k. Which is greater: o or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 2*m - m + 3)*(-60*m + 141*m - 41*m + (-3 + 1 + 4)*(5*m - 2*m - 2*m)).\nAnswer: -84*m**2 + 126*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -1248?\nAnswer: -124b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 170816 and 289.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 468?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 165*i - 34768 = 68*i - 226*i for i.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9335340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -220*r**3 - 2*r**2 + 2. Calculate f(-1).\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 11, x: 1}. Give prob of picking 1 x and 1 z.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - 162 - -52 - (0 + -20).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 9*a**3 + a + 1. Let n be z(-2). Let q = n + 104. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9.5 - -10. Let s = 3 + -2. Let d be ((-5)\/(425\/51))\/(-1 + 0). What is the closest to d in -2\/15, h, s?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 110?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*p - 0. Suppose -7 = -2*n - 2*k - 3, n + 2*k = p. Suppose 0 = 8*m - n*m - 1295. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 55079?\nAnswer: 6\/55079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -171*r - 9857. What is b(-60)?\nAnswer: 403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1420\/(-497)*3\/(6\/7).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*c - 2. Let x = 0.28 + 3.32. Let a = x + 0.4. What is the smallest value in c, a, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 457*o - 4869 - 4084 = 50*o + 11397 for o.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 5*w**2 + 112*w + 598. Give z(-8).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/((m*m**2*m)\/m)*m)\/(m**(-23)\/m*m))\/((m*m\/((m\/m**(2\/29))\/m))\/m*m\/(m*m\/(m*m**(-7\/3)*m))*m))**(-39) assuming m is positive.\nAnswer: m**(-24050\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -2*m + 3*m, -2*m = 5*i + 7. Suppose -5*x - 698 = 202. Find the common denominator of i\/5 - (-1004)\/x and 127\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233350 = -3527*n - 1140*n for n.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 6*r**2 - r + 7. Let m(z) = -z**2 - 52*z - 137. Let c be m(-49). Let o(u) = 5*u**3 - 50*u**2 - u + 16. Let p be o(c). What is j(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**3 - 130*m**2 - m**3 - 49 + 131*m**2 + 2*m**3 to z + c*m**2 + i*m**3 + p*m and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/36326344 and -79\/34152.\nAnswer: 108979032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9015302069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 4*y = -34, 4*y = 1307*s - 1312*s + 43 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 278394 to the nearest integer?\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -32*v - 40. Let m(u) = -2*u - 1. Let z(t) = -5*m(t) + y(t). Is z(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110110 + 1110?\nAnswer: 1000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of j**4\/8 - 6*j**2. What is the units digit of t(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97 = 5*y - 9*i, 19 + 10 = y + 26*i + 18 - 53 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -423555, -847124, -1270693, -1694262?\n\"Answer: -423569*p + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -4. Is 10*18\/(-4)*y a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.130549 to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 + 39. Let h = n + -8. Let b = h + 1. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - 137) + (444 - 425).\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o - 10*o = -12*o + 90, 47*f - 4*o = 166 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 3*o - 138, 203 = -84*t + 89*t - 4*o. Let f = -322 + 533. What is the remainder when f is divided by t?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6 - 3) + 4\/(-2). Let b be -4 + v + 598\/234. Which is bigger: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 459?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 2579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -115829 + -6?\nAnswer: -115835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.3 + 8. Let r = -0.2 - f. Let n = r - 3.1. Which is the nearest to -0.1? (a) n (b) 4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 - p**3 + 2*p - p**4 - p**2 + 2*p**2 + 20 - 2*p**2 - 11 as t*p**4 + a*p**2 + v*p**3 + u*p + o and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(3168)*-3)\/(6*3*sqrt(11)) + -4)**2.\nAnswer: 28*sqrt(2) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l + 2. Let m(z) = -33*z - 4. Determine -m(y) - 2*r(y).\nAnswer: 31*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5474586 divided by 70187?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 10*a + 3 + 1)*(3*a**3 - 2*a**3 + 5*a**3) to i*a**3 + m + z*a + y*a**2 + t*a**4 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-470)\/(-330)*54 + 380\/(-418)\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 6*o**2 - 6*o. Let n be y(-5). Let j be 17 - -12*7\/(-14). Let q(w) = j - 1 + 4*w**2 + 6*w - w**3 + 1 - 8. Give q(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/5 - 28*n**2\/5 - 176*n\/5 - 64.\nAnswer: -(n + 4)**2*(n + 20)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3*m + 3*m + 3*m + 2. Let i(g) = -2 - 32*g + 45*g + 11. Let a(d) = -d**2 - 2. Let t be a(0). Determine t*i(o) + 9*j(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 16*s + 7. Let q(w) = w**3 - 23*w**2 - w + 35. What is the remainder when j(14) is divided by q(23)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y - y + 2*y**3 - y.\nAnswer: 2*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 59264 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**3 + 4*s**2 + 2*s + 3. Give x(-3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16\/64 - (-326)\/8. Let q = -61 + o. Let j = 62 - q. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 12 + o - 1)*(-o + 2*o + o).\nAnswer: 2*o**2 + 24*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**4 + 524*o**2 - 3600*o + 3078.\nAnswer: -2*(o - 9)**2*(o - 1)*(o + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v + 24. What is the remainder when h(8) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.020225 to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*w - 8, -h = -2*w - 7. Suppose p = 11 + h. Does 9 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-3*(-1*sqrt(133) - sqrt(133)) + sqrt(133)))\/(sqrt(42)\/(-5*(sqrt(6) + sqrt(150)))).\nAnswer: 840*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 0*d = 2*d + 8, 4*d = -3*a + 5. Let n(u) = -8*u + 2. Calculate n(a).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*o - 5*o - o)*(5 - 3 - 4) + 0 + 0 + o)*(1 + 2*o**2 - 1).\nAnswer: 14*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 12*s**2 + 17*s - 7. Give q(5).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 924 and 29773854.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + s + 3*h + 384 = 0, 5*h - 480 = -5*s. Calculate the least common multiple of ((-4 - -2)*-1)\/((-10)\/(-80)) and s.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15.573 - -50\nAnswer: 65.573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 21*z**5 + 84468*z**4 + 14627511*z**3 + 18522492*z**2 - 24937932*z - 8296560 = 0?\nAnswer: -3841, -180, -2, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1021 = -9*j + 446. Is j a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22\/1229 + 1185\/2458. Sort 3, v, 0.07 in decreasing order.\nAnswer: 3, v, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**3 + 634*y**2 - 588*y + 15238. Determine l(-318).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -8, -5 in descending order.\nAnswer: 7, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -548 - -742. What are the prime factors of h?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -2. Suppose 0 = -m*b - x - 19, -4 = 2*b + 4*x + 2. Let c(a) = a + 5. Let y(f) = 4. Suppose -13*k + 16*k = 12. What is b*y(u) + k*c(u)?\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 135 and 418585.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4910 is divided by 825?\nAnswer: 785","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + c = 146, h - 18 - 8 = 5*c. What is the lowest common multiple of h and 2?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(330)\/(sqrt(48)\/sqrt(8)*3 - sqrt(6)))\/(3*(sqrt(45) - sqrt(5))*-5))**2.\nAnswer: 11\/3600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + a**2 - 5*a + 1. Determine g(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 418008 or 418275?\nAnswer: 418275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/2660 and -13\/40.\nAnswer: 5320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 6, -4, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16663\/11 in 0.4, 2\/13, 0.3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 37*d + 9. Let z(l) = 25*l**2 + 140*l + 73. Let c be z(-5). What is m(c)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29*-69967520.\nAnswer: -2029058080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 5*h + 23 = 0, -4*r + 25*h - 27*h + 20 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 51465353 to the power of 1\/2, to the nearest integer?\nAnswer: 7174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 115 and 39859?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.2 in -3, 2\/9, 3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 6*(1 + 6*(0 + sqrt(343)) + 4 + -1*sqrt(343))*-3*-6.\nAnswer: 536 + 3780*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -742 + 325. Let r = -1459 + 851. Let p = u - r. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -183 - -189. Let b(v) = 2*v**2 + 4*v**2 - 6*v**3 - 2 + 5*v**3 - 2*v. What is b(t)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.245877ml to litres.\nAnswer: 0.003245877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33) + sqrt(66)\/sqrt(2))*1)\/(sqrt(192) + sqrt(192)*1 + sqrt(3)).\nAnswer: 2*sqrt(11)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(3\/10)*(r**(2\/15)*r)\/r*((((r\/(r\/r**(1\/2)))\/r)\/r)\/r)**(-39))**37)**46 assuming r is positive.\nAnswer: r**(2500238\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 11:04 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 2, 9 in decreasing order.\nAnswer: 9, 2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 - ((12 - 10) + (-11 - 5)) - 12.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (72 + -72 + (-2 - (3 - 1)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ac8 + -3?\nAnswer: -acb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -295 times 14341?\nAnswer: -4230595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8820 and 41160?\nAnswer: 123480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 18, -2, 2, -564 in ascending order.\nAnswer: -564, -2, 2, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.20286 - -96.21286. Let o = s + -0.01. Let w = o - 96.00053. What is w rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.465 litres to millilitres.\nAnswer: 25465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 281?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -1. Let g(p) = 13*p + 9. Let b(s) = -25*s - 19. Let r(v) = 6*b(v) + 11*g(v). What is the smallest common multiple of j and r(-5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*v + 5. Let l be 0*(v\/4 + -2). Suppose -3*f = -l*f - 39. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102133102 (base 4) in base 14?\nAnswer: 1d854","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((-5 + (0 + sqrt(1331)*2 + sqrt(1331) - (sqrt(1331) + 0 + -4 - sqrt(1331))))*4 + -5))**2.\nAnswer: -21384*sqrt(11) + 1725705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-39)\/(-15))\/((-4)\/10*44\/88).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*((-72)\/(-3))\/3. Let c(s) = -x + 0*s - 2*s - 3 + 3. Suppose 93 - 21 = -9*b. What is c(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -147*o + 588. Let a be j(4). Which is smaller: -1\/913 or a?\nAnswer: -1\/913","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 7:36 AM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45215581 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1213243.\nAnswer: 181, 6703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11315 and 3875?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21772 = 15*p + 22372 for p.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 227898*l. Let n(u) = 14*u**2 - 14. What is q(n(y))?\nAnswer: 3190572*y**2 - 3190572","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3706.1 and 1208?\nAnswer: 2498.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - 27\/(-6))*(7 - -1). Suppose -4*q + 9*q = 2*z + 30, -12 = -2*q - z. Solve -q = -y - i*m, 4*y + 5*m = 1 + 1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.18 and -55?\nAnswer: 9.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 12+100\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 - -28. Let y be (-15)\/(-3)*6\/t. Suppose -2*g + 13 = x, 2*x + 2 + 7 = y*g. What is g rounded to zero dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate w**2 + 51*w + 1093 with respect to w.\nAnswer: 2*w + 51","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36731*i - 18457*i + 2 - 18269*i.\nAnswer: 5*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*x - 31 = 43. Let n(m) = -14*m + 2. Let p(u) = -u + 1. Let l(h) = -n(h) + 3*p(h). Give l(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2*(4 + sqrt(13) + -1))**2.\nAnswer: 44*sqrt(13) + 173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oop when three letters picked without replacement from opoooopoo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -271 - 1?\nAnswer: -272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/32 + 183659\/28 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from essseekoqq. Give prob of picking 1 k and 2 s.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qaq when three letters picked without replacement from qoaaaoaq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 9:58 PM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2 + y + y + 2*y - 2*y. Let f be (1 + (-293)\/5)*(-20)\/3. Let l be (-2)\/5 + (f\/20)\/8. What is c(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 5085?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12643097 and 3202?\nAnswer: 1601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 + -1.2. Let k = 42.2 + -41. Let w = i + k. Which is the third biggest value? (a) -3 (b) -5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000050372205 rounded to six dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79, 151, 223, 295, 367?\nAnswer: 439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9370853l in millilitres?\nAnswer: 937.0853","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18146021 - -18146020.0448643. Let z = -0.0551321 - a. Let k = -0.9 + z. Round k to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54*(-71)\/(-12780)*(1458\/(-28) + 12\/(-28))?\nAnswer: -63\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of 1\/12*k**4 + 0*k + 0 - 1\/120*k**6 - 1\/20*k**5 + 0*k**3 - k**2. Suppose 0 = 3*x + 6 + 3. Determine o(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -497741.6 rounded to the nearest one hundred?\nAnswer: -497700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, i: 3, t: 1}. Give prob of sequence iwt.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -228143, -228145, -228147, -228149, -228151?\nAnswer: -228153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*l + 31*l - 127. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3 - 128*p**2 + 796*p - 1072.\nAnswer: -(p - 4)*(p - 2)*(p + 134)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mkgpgkomt. Give prob of picking 1 k, 1 o, 1 t, and 1 m.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -2*x + 42. Solve i = -3*b - x, 33 = -4*b - 4*i + 1 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21977*f**6 - 10131*f**2?\nAnswer: 2637240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -606 from 61.\nAnswer: 667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 31 - 10 = 3*p, -x - p = 9. Let g(w) = 36*w - 38. Let v be g(x). Round v to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, s: 2}. What is prob of sequence ssg?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 8.3. Let t = -0.77158 - -0.97158. Suppose z = -2*v + 6, -2*z - 5*v + 25 = 3*z. What is the nearest to z in 0.1, t, j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.9+26945184\nAnswer: 26945185.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 838*t + 123?\nAnswer: 838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34 and 8445?\nAnswer: 287130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a factor of 995391?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -358016, -358026, -358042, -358064, -358092, -358126, -358166?\nAnswer: -358212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 172597 (b) -2 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27.62 - 27.62. Which is the third smallest value? (a) 69 (b) 8 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*s + 52*s - 43 = -5*g, 5*g - 155*s + 151*s = 1 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 172\/3, 3, 5, 2\/17?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 2*n = 13, 1010*i - 4*n + 12 = 1014*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jiiiaaiia. What is prob of picking 1 j and 2 i?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 16*z. Suppose h - 16 = -3*a, -3*h + 8 = 2*a - h. Suppose -o + 4*c = a, 3 + 9 = o + 5*c. Let b(p) = 13*p**o - 21*p**2 + 7*p**2. What is b(g(j))?\nAnswer: -256*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u**5 + 998*u**4 - 82775*u**3 = 0. What is u?\nAnswer: -1075, 0, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-4*sqrt(17) + sqrt(17)) + -4*sqrt(425))**2.\nAnswer: 14297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -404 divided by 2?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45963 - -45962.9999874446. Round y to six dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/8 and (-3 - -1) + 168\/44?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z. Let r be 52\/13 - (0 + 3). Let a be v(r). Suppose -a*g + 69 = 5*h, -3*h + g = -5*h + 28. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(2\/9)*t*t*t\/t**8*t*t*t)**(-26) assuming t is positive.\nAnswer: t**(182\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.8 - -7. Which is the closest to 0.1? (a) -3 (b) k (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/38262723 and -49\/9.\nAnswer: 114788169","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -3. Let f(n) be the third derivative of -875*n**5\/6 + n**4\/24 - n**3\/3 + 6*n**2. Let p be f(s). Round p to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 41 + 3?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 7*x - 2. Suppose z + 2 = -3*t + 1, 3 = -3*t. List the prime factors of n(z).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 2*s + 20 = 0, -o = 2*s - 13. Suppose 2*h + 2*i - i + 18 = 0, h = -o*i + 1. Calculate the remainder when 7 is divided by (-5)\/(-10) - h\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 74 + -29. Does 5 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50694?\nAnswer: 2, 3, 7, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3*q**2 + 9*q - 1. What is l(-1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2699625 >= 2699631?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -11200121000 (base 3) to base 4\nAnswer: -112201332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 115785191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 250a3 (base 15) to base 8.\nAnswer: 347006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 20 = -y. Suppose 0 = 5*d + 15, -d - 112 = -y*v - 2*d. What is the remainder when 68 is divided by v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/110 and -65\/7601979.\nAnswer: 76019790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -399 - -412. Let d = 7.7 - 8. Let i be 1\/(3*(-3)\/(-15)). Which is the smallest value? (a) h (b) i (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-2 + sqrt(448) - sqrt(448)))**2 + 0.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 5 + (sqrt(300) + (sqrt(300) + -1 - sqrt(300)) + sqrt(300))**2.\nAnswer: -40*sqrt(3) + 1209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 9 = 3*j. Let k(o) = -2*o**2 + 5*o - 2. Let w be k(j). Let l = 0 + 0. Sort 4, l, w.\nAnswer: w, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1520695?\nAnswer: 5, 11, 43, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4*h - 3 = 0. Suppose -y = a + 20, -h*y - 62 = 2*a + 2*a. Let w = y + 62. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + c = -v - 17, 0 = -5*c + 2*v - 31 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*h + 17. Let v = 1 + h. Suppose -4*y + 3 = -13. Solve -c = -5*k + 5, 0 = -c - c - y*k + v for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 5688366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 - (1 - (2 + 1)))*-10 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 762 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 9*z**2 + 3*z - 1. Let g be (-3 - -1) + 3\/(18\/60). Calculate the remainder when w(g) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 8 - (24 + -19).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -4, 5*z - 3*f + 6 = -1 - 11 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11650 = 1263*p + 283 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xsjv when four letters picked without replacement from jkxvsssjsjssv?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (5445\/297)\/((-100)\/20)\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(16\/7)*h**(2\/9)\/h*h**(2\/13)*h**20\/h assuming h is positive.\nAnswer: h**(16922\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (759*f**3 - 536*f**3 - 409*f**3 + f**3 - 6*f**3 + 2*f**3 + (-2*f**3 - f + f)*(-1 + 3 + 0))*(-3 + 4 + 0 - f)*(-2 - 2*f + 2).\nAnswer: -386*f**5 + 386*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*o + 135*o - 136 = 0 for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 - (-3 + 1) - -3. Let m be 4 - (3 - i) - -3. Suppose -4*o = -o - 2*s + 13, m*s = o + 21. Which is the closest to -0.1? (a) o (b) -3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((-6)\/(-3)*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1904833 by 426.\nAnswer: -1904833\/426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 - -36. Suppose 3 = -i*l + 18. Sort l, -0.5, 4.\nAnswer: -0.5, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 9*x - 15. Let w be d(6). Solve -g = -2*g - w for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66 + 124 - 2176*i - 58.\nAnswer: -2176*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3285656 months in years?\nAnswer: 0.1107138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, i: 5, e: 1, y: 1}. What is prob of sequence iie?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -237*s. Let y(u) = 13*u. Calculate d(y(x)).\nAnswer: -3081*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2698985*b**3 - 1349739*b**3 - 1349243*b**3.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -4*d**4\/3 + 2140*d**3\/3 - 99836*d**2 + 12301540*d\/3 + 25818296\/3 = 0.\nAnswer: -2, 97, 343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-14) + 26\/(-7). Let r be (-2)\/(-10) + -7*(-6)\/15. Let z be (-2 + 5)\/((-3)\/(-11)). Put r, i, z in decreasing order.\nAnswer: z, r, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {e: 15, s: 5}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 30456 and -0.60278931.\nAnswer: 30455.39721069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -3*m**3 + 25*m**2 - 2*m + 163. Give o(9).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -727 + 739 - ((18 - -3) + 5 + -1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-105)\/6)\/(-7)*20. Let h be 20\/j + (-8)\/(-30). Which is the fourth smallest value? (a) -0.03 (b) 0.4 (c) 2\/15 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -3*b**3 + 2*b**2 - 18*b - 33. What is the units digit of c(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {h: 3, l: 5}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0072495 and -2.\nAnswer: 0.014499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44 - 36. List the prime factors of 2\/6 + a\/(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -110022?\nAnswer: -110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*n**4 + 3417*n - 3*n**3 + 7*n**3 - 3418*n - 2*n**2 to s + u*n + m*n**4 + b*n**2 + c*n**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbkcxbcpkpkubbpupbk. What is prob of picking 1 b and 1 k?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*40\/(-9312)*-6*(-12)\/(-15).\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80 and 170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**3 + 35*m**3 + 39*m**3 + 15*m**3 + 20*m**3 - 2*m**4.\nAnswer: -2*m**3*(m - 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13954?\nAnswer: 2, 6977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -643.892 * -5\nAnswer: 3219.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 9. Let s(p) be the first derivative of p**5\/20 + 5*p**4\/12 - p**3\/2 - 7*p**2\/2 - 6*p - 3. Let x(n) be the first derivative of s(n). Calculate x(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 + -10. Let q(a) = 6*a**2 + 4*a. Let x(r) = -r**2 - r. Let v(f) = c*q(f) - 3*x(f). Find the second derivative of v(m) wrt m.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 413.1488 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 22976237 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 38*p + 3 + 13*p - 3 - 52*p. Let n(g) = 16*g. Give z(n(r)).\nAnswer: -16*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**3*x**2 - h**3*x - 13*h**3 - 2*h**2*x - 25016*h*x**2 + 6*h + 3*x**2 + 161 wrt x.\nAnswer: 2*h**3 - 50032*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -34 + -3?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 18 = 2*t, -4*t + 30 = 2*d + 3*d. Let o be ((3 - 3)*d\/(-4))\/3. Solve -2*w = 4 - o for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132 = 31*b - 39 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/8*(1106\/(-70) + 13).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*w**3 - 8*w**2 + 180154544*w - 180154544*w.\nAnswer: -9*w**3 - 8*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 2*i - 3*k + 1, 0 = -3*i + 4*k + 21 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.19161 + -14.26061. Let p = k + 0.069. Sort 3, p, 0.\nAnswer: p, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a hour in seconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1530 + -601. What is the hundreds digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 12:44 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 6. Let b(g) = -3*g**2 - g - 18. Let q(c) = 6*b(c) + 17*r(c). Suppose 2*x = -2*x - i - 45, 4*i + 4 = 0. Let j = x - -6. Give q(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*f = -12954, 11*q - 13*q = 3*f - 25919. Calculate the highest common divisor of q and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*k - 13 = 0. Let g be (1\/(-2))\/(3\/(-6)). Suppose 0 = 2*x - g - k. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 23591*r. Let p(g) = -g**2 - 23. Determine j(p(b)).\nAnswer: -23591*b**2 - 542593","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xvk when three letters picked without replacement from xkkkkvvxk?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 10:58 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17 in -0.2, 4, 0.04?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1064336 divided by 688?\nAnswer: -1547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/5, -1, 7, 15, 5, -4\/45?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -30, 4 in descending order.\nAnswer: 4, -3, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 22772 = -4*m, -69*w + 74*w = 3*m + 22821. What is the greatest common divisor of w and 960?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*d = 94 + 54. Solve -5*i - 20 = 5*v, i - d*v = 3*v - 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6755 + 431 = -4*n. Suppose o + k - n = 0, 2*o - 3178 = -2*k + 4*k. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-1 + -8 + 7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 + 132 = -6*p. Let g = p - -29. Suppose -4*n + 20 = g, 3 - 6 = 3*b - 3*n. Let i(a) = -a**2 + 3*a. Give i(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3 - 69 = 0. Suppose 3*t + t + a = 4*g, -2*t - 30 = -3*g. Solve 19 = -4*o + 5*q, 3*o - g = -6*q + q for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*k = 20*k - 2. Which is the fourth biggest value? (a) -9 (b) 0.2 (c) 2\/3 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssus when four letters picked without replacement from sosssouusuoouo.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.618 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 349380*i + 3 - 349383*i.\nAnswer: -3*i + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -4, 0*o - 2*o + 15 = 5*j. What are the prime factors of ((-1348)\/(-8) - 1)*12\/o?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 2*n - 1106 - 222, 0 = -3*v + 4*n + 974. What is the remainder when v is divided by 123?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**5 - 2*q**4 + q**3 + 1. Let x(l) = 5*l**5 - 8*l**4 - 106*l**3 + 271*l + 4. Let r(j) = 4*h(j) - x(j). What is the second derivative of r(i) wrt i?\nAnswer: -20*i**3 + 660*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6441274871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-13 - -6) + 5 + (-3 - 1). Let v be (-3)\/(-6) + (-45)\/n + -5. Let w(o) = o**3 - 5*o**2 + o + 1. Give w(v).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 238*j + 5469. What is r(-23)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of -2\/15*z**6 + 0 - z**2 + z**4 + 13*z - 1\/20*z**5 - 5\/6*z**3. Factor f(p).\nAnswer: -(p - 1)**2*(p + 2)*(4*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.1 in 1\/3, 0, 7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 m, and 1 p when three letters picked without replacement from {i: 1, m: 4, p: 2, r: 4, q: 1, o: 2}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*l - 7 - 15 = 149 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + sqrt(10)\/sqrt(2)) + sqrt(35)\/(-3*sqrt(14)\/sqrt(2) - sqrt(7)) + 4.\nAnswer: -17*sqrt(5)\/4 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1670854 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: Factor 2*n**4\/3 + 3380*n**3\/3 + 13496*n**2\/3 + 4496*n.\nAnswer: 2*n*(n + 2)**2*(n + 1686)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*x - u = 26*x + 28, 5*x + 5*u - 40 = 0 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 11:06 PM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.65833 to two decimal places.\nAnswer: 13.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 2*d + 1082 + 5650, 6728 = 5*x + 2*d. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 2*p + 4, -2*f - 16 = -0*p - 4*p. Suppose -w = 0, -5*s = -3*s + p*w + 28. Let y = s - -32. Does 9 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2134?\nAnswer: 2, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 23\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2 = -b. Let m(f) = -f**2 - 2*f + 2. Let d be m(b). Let k be (-4)\/d - (-4)\/3. Solve k*q = 3*j + 14, 4*q + 2 = -2*j - 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2*m - 9 = 0. Suppose m*w - 380 = -29. Is 2\/(3\/(w\/6)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9025 - 5599 + 1222 + 254 - 7790)*(-4*a**2 - a**2 + 6*a**2).\nAnswer: -20938*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2 (b) -5\/4 (c) -2\/9 (d) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 0 - 2 - 94*t.\nAnswer: -94*t + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34 + -24. Let u = 16 + x. Let l(i) = -2*i**2 - 88*i - 908. Calculate the least common multiple of l(-17) and u.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5004776 a multiple of 1045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*y**4 - 3*y**4 - 3*y**4)*(4 - 5 + 2)*(-1411 - 1519 + 2607) in the form m*y + c*y**2 + g*y**4 + v*y**3 + j and give g.\nAnswer: 969","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 0 + 0 - d. Let a(c) = -c**2 + 28*c - 137. Let p be a(7). Let l(y) = 105 - p*y - 213 + 108. Calculate m(l(n)).\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**2 + g**3 + 0*g**2 + g - 14*g + 286 + 13*g.\nAnswer: g**3 - g**2 + 286","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n**2 + 6*n - 6. Let t be -7 + 5\/(20\/8). Let r(a) = 2*a**2 - 5*a + 5. Let i(f) = t*v(f) - 6*r(f). Factor i(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000234713 rounded to seven dps?\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1104)\/(-345))\/((-24)\/(-15)). Suppose -3 = a - 5. Suppose 3*p - 5 = -2*c + 7, c - 7 = -a*p. Solve -4*d - 4*u = 0, p*d - k*u = 2*u for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-6)*((-9)\/(-2) + -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0022007 to four dps.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(5) + sqrt(5) + -1) - (sqrt(125)\/sqrt(5))\/sqrt(5).\nAnswer: -4 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**27\/(k*k**(-2\/3)))**(2\/3) assuming k is positive.\nAnswer: k**(160\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -15642 divided by 99?\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36394 by -36394.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n**3 - 6*n**2 + 5*n + 5. What is d(3)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2845729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*j**3 - 3735341778*j**2 + 2134481040*j - 304925864 = 0. What is j?\nAnswer: -38115733, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -26, 4, -3 in decreasing order.\nAnswer: 4, 2, -3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1662614 divided by 5?\nAnswer: -1662614\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2380?\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t + 2*t**2 - 3*t**2 - 5*t**2 - 2*t**3.\nAnswer: -2*t*(t + 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -203 + 4*b - 206 - 24*b**4 - 206 + 612 to u*b**4 + v*b**3 + c*b + s + f*b**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 8:34 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + (9 - -4284003)\/6. What is s rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -46 + 45.58. Let d = s + 0.12. Which is the second biggest value? (a) -0.5 (b) 1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.08 from -0.009838767.\nAnswer: 0.070161233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -5*c**3 - 1. Let o be h(-1). Let k be 1\/(((84\/12)\/7)\/9). What is the greatest common factor of o and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -761*z + 135*z - 8300 - 1929 - 14811 = 0 for z.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -9. Suppose 5*r + 5 = 0, 0 = 5*n - g*n - 4*r - 81. What is the greatest common divisor of n and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150451199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - (2 + (-416355)\/(-15)). What is x rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -q**4\/9 + 350*q**3\/9 - 22343*q**2\/9 - 350*q\/9 + 7448\/3 = 0.\nAnswer: -1, 1, 84, 266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 641666 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5341235 is divided by 1068188.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 78\/(-12) - (-42)\/6 - (-27)\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8946 - -1428?\nAnswer: -751b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000000101011101110100 + 1?\nAnswer: 1000000101011101110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 3. Let o(x) be the first derivative of 2*x**5 + 6*x**3 + 4*x**3 - p*x**5 - 20 - 4*x**3. What is the third derivative of o(l) wrt l?\nAnswer: -360*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/10 - 17\/26. Let h(p) = 4*p - 6. Let g be h(-6). Let n be ((-9)\/g)\/(4\/(-10)). Put z, -2, n in increasing order.\nAnswer: -2, n, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -28*a**5\/3 + 20*a**4\/3 + 12*a**3 - 20*a**2\/3 - 8*a\/3 = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39090, -156632, -352536, -626802, -979430, -1410420, -1919772?\nAnswer: -2507486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -8*m**2 - 2. Let g(f) = -f**2 - 1. Let i(v) = -2*g(v) + x(v). Let j(z) = -z. What is i(j(k))?\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.9197 rounded to zero dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of v**5\/60 - v**4\/12 + v**3\/3 + 4*v**2. Let h = -18 + 20. Let s be q(h). Calculate the greatest common divisor of s and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 63595 by 161.\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 42, 84, 144, 228, 342?\nAnswer: 492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i - 4*i - 54 = 0. Let l(g) = g**3 + 3*g**2 - 34*g + 30. List the prime factors of l(i).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(42)*2)\/(-5*sqrt(42)\/sqrt(7)).\nAnswer: -4*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 5*f + 132. Which is bigger: f or 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ew when two letters picked without replacement from uqqteqgqqweqqw.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 1 + 28 - 5*i - 3 as k*i + j and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -753 - -764. Solve 0 = -b + 14 - p for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20\/16 - (-14172)\/16 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 c when three letters picked without replacement from {b: 3, c: 4}.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6636083.\nAnswer: 6636083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + (-2)\/(-9) - 1325\/(-477). Determine p so that 0 + 0*p + 2\/11*p**2 + 2\/11*p**5 + 6\/11*p**4 + 6\/11*p**v = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 9, r: 10}. Give prob of sequence wwr.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -94, 4, -5, -1, 2, 3 in increasing order.\nAnswer: -94, -5, -1, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*y - 9*y - 24*y)*(-7*y**3 + 17*y**3 + 13*y**3).\nAnswer: -1127*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -4*f**5 - 40*f**4 - 76*f**3 + 120*f**2 = 0.\nAnswer: -6, -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58102?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n - 5*m + 15, 0 = 4*n - m + 771 - 785 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 4056?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + 9*y**2 + 7. Let v = -1 - -7. Let b = v - 15. List the prime factors of m(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20084341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -970, -1936, -2902, -3868, -4834?\nAnswer: -5800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -14096 and 0.2.\nAnswer: -14095.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 6) to base 4.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/66 + (-378859)\/4246.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7147787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 246350 a multiple of 180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.5 + 4. Let r = 567\/5 - 113. Which is the smallest value? (a) -1\/2 (b) v (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q + 2. Let d be b(0). Let s be (-1)\/(d - (0 - -1)). Let u be (-2)\/4 + 50\/180. Is u equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + 0 + -1)\/(-1). Suppose -6 + r = -3*k, -3*x = 5*k - 58. Suppose -2*i + f + 14 = 3*i, -4*i - 2*f = 0. What is the highest common divisor of i and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a + 3054 - 581 + 0*a.\nAnswer: -5*a + 2473","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -3 - (1 - (9 - 4))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 - -0.4. Let o be (962\/(-39))\/(-37)*18\/(-20). Which is the closest to f? (a) -2 (b) o (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(1\/8)*h*h**(-3\/8)*((h*h\/(h**0\/h))\/h)**(-3\/13) assuming h is positive.\nAnswer: h**(15\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0.141, 4, 1\/5, 3?\nAnswer: 0.141","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 285806602\nAnswer: -5\/285806602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 64 + -31. Let j = -38 + 56. What is the remainder when t is divided by j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1054 + -1058. Put m, -5, -18 in increasing order.\nAnswer: -18, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((64\/(192\/9))\/111)\/((-1)\/2).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 281435?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 57 * 627.\nAnswer: 35739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -7*l + 69. Let f(q) = q + 1. Give 6*f(i) + y(i).\nAnswer: -i + 75","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 0) + (-3 + 2)\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43226.\nAnswer: 2, 21613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 17*x**3 - 22*x**3.\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2132980 + -6?\nAnswer: 2132975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((197 - 197 - 34*y)*(2 + 3 - 6) + 3*y + y - 2*y)*(-3*y**2 + 2*y**2 + 2*y**2) to the form s*y**2 + u*y + j + l*y**3 and give l.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from dddddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 + 16048\/884)*(-39)\/15.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-120)*-10*14\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of t**2\/2 + 2*t + 4. Let k be q(2). Let b(d) = 6*d - 8. Let j(m) = 9*m - 12. Let u(r) = -8*b(r) + 5*j(r). What is u(k)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -s**5 + 108756*s**3 + 1038*s**2 + 3715?\nAnswer: -60*s**2 + 652536","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Is 1290 at least 27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 111174893?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-42)\/(-10)*(-2 + 7). Let t = u - 380. Let l = -216 - t. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*x - 16*x - 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 5*z + 9. What is u(-5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 11 times 294.2\nAnswer: 3236.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 27\/18*(-10)\/12. What is the nearest to 0 in o, 0.3, 8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52024135 is divided by 153.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -34926*t**3 - 3*t**2 + 10*t - 1. Let u be x(3). Round u to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*v**3 - v - 38*v - 19*v**3 + 162*v + 10*v**3.\nAnswer: 2*v**3 + 123*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3 + 356760*s**2 - 1070294*s + 713532.\nAnswer: 2*(s - 2)*(s - 1)*(s + 178383)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 1016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 2*l - 3974 + 1404 = 0, 0 = -5*x + 3*l - 3211. Find the common denominator of 15\/2 and x\/(-80) - 0 - 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 424\/9 - 47. Let x = -8 - -8.4. Which is the second biggest value? (a) 3\/5 (b) x (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -43, -324, -1087, -2572, -5019, -8668, -13759?\n\"Answer: -40*n**3 - n**2 + 2*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1502 + 1502.5. What is the fourth biggest value in 1, t, 62\/3, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 4 + c**3 - 5*c**4 + 3*c**2 + 8 in the form j*c**3 + g*c + k*c**4 + s*c**2 + d and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2387*t - 509*t + 1615*t in the form i + f*t and give f.\nAnswer: 3493","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 63.2 + -61.2. What is the closest to 2 in 0.4, i, 27, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -15*y + 77. Let r be n(5). Let q(h) = -13*h - 3 - 2*h**r - h**3 + 10*h + 0*h**3 - h**2. Calculate q(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 102028, 102029, 102030, 102031, 102032, 102033?\n\"Answer: h + 102027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*n - 29 = 0. Let c = 34 + -24. What is the remainder when n is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*j*u**2*w + 524508*j*u*w**2 - 236078*u**2*w**2 + 9*u*w**2 - w**2 wrt j?\nAnswer: 3*u**2*w + 524508*u*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**8*j**(-4\/7)*j*(j**(-4))**(14\/5))**(2\/145) assuming j is positive.\nAnswer: j**(-194\/5075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -4*n**2 + 21*n + 5. Let h(i) = 5*i**2 - 22*i - 6. Give -5*h(y) - 6*x(y).\nAnswer: -y**2 - 16*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/161660 and -21\/22.\nAnswer: 1778260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1939420*k**5 + 502013*k + 2.\nAnswer: -38788400*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -64 and 0.044?\nAnswer: -2.816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 18\/139 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6561 = -21*k - 3918. Let f = -447 - k. Is 3 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1232319.8 and -2.\nAnswer: 2464639.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m - 8. Let a(d) = d**3 - 4*d**2 + 4*d + 4. Suppose 382*g - 6 = 380*g. Let n be a(g). Determine c(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -67734 by -6.\nAnswer: 11289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3777*m + 1 + 3723*m - 1 - 7494*m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.6, 4, -24?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 130225 (base 9) in base 2?\nAnswer: 10011010001000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-204 - (4 - -2)) + 12\/4. Let z = 228 + n. Solve 6*t = -z + 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1900 is divided by 48.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/1*(-26)\/(-20)*2012\/6539?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 4674?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 60*l**3*o**3*r**2 - 12*l**3*o*r**3 + 35*l**2*o**2*r + 2*l**2*o*r - 2*l*o**3*r - 2*l*o*r**3 wrt l?\nAnswer: 360*o**3*r**2 - 72*o*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 4:27 AM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111001000111010 + -101?\nAnswer: 111001000110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, -2, 0, 136\/105?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 6*t**2 - 21. Suppose -h = -4*h + 6. Let v(m) = 24*m**2 - 8*m**2 - 4 - 6*m**2 - 9*m**2. Suppose 0*y = y + 11. Determine h*q(w) + y*v(w).\nAnswer: w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - 43*n + 16359. Is 21 a factor of r(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -43*d - 542. Is q(-52) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 5*u + u. Let h(r) be the second derivative of -1\/3*r**3 - 1\/20*r**5 + 0 - 30*r + 2*r**2 - 5\/12*r**4. Calculate h(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2*l = -0*p - 14, 5*l + 8 = 2*p. Let n = -4 + p. Solve -b + 5*b + 8 = 2*h, 10 = -n*b - 5*h for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*x + 0*x - 3*x**3 - 4*x + 19*x.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27611 divided by -59.\nAnswer: 27611\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -29b2680 (base 12) in base 15?\nAnswer: -b1bdb3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4224514 (base 6) to base 2\nAnswer: 110010001111111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y + 1. Let z(g) = 7*g + 3. Let c(b) = 6*q(b) + z(b). Let f(n) = 2*n + 1. Let u(o) = 2*c(o) - 18*f(o). Let i(d) = -7*d**2. Calculate u(i(h)).\nAnswer: -14*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 0.3, -0.2, 0.189.\nAnswer: -2\/5, -0.2, 0.189, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45533629.\nAnswer: 23, 1979723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 7*j**2 - 2*j - 7. Let z(h) = h**2 + 7*h + 12. Let r be z(-5). Let q(i) = -4*i + 5. Let k be q(r). Let g be 1\/k + (-20)\/3. Give w(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 + 4 = 5*j + 5*y - 39, 0 = 6*y - 24 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 28976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00303386923 rounded to five decimal places?\nAnswer: 0.00303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t + 0*t - 5720*t**3 + 1282*t**3.\nAnswer: -4438*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p + 4*n - 37, -1594*p - 4*n = -1599*p + 83 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 102*a**2*f**2 - 2*a**2 - 23*a*f**2 + 5*a*f wrt a.\nAnswer: 204*f**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1*(sqrt(20) + -1 + sqrt(180) + 1) + -5 + -5.\nAnswer: -8 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211101 + -101020?\nAnswer: -1012121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8660 rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 69 + -57. What is the least common multiple of y and 32?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3934149 = 3934153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -20*r - 10. Let x(w) = -7*w - 3. Let b(u) = -17*x(u) + 6*y(u). Let v be b(-6). Suppose 0*q = -q - 1. Put v, 0, q in decreasing order.\nAnswer: 0, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*v + 18*v - 74*v)*(1 - 4 + 4)*(-3 - 1 + 2)*(-2 + 3 - 3).\nAnswer: -348*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -942*o + 0 + 53*o**2 + 316*o + 313*o + 316*o - 2.\nAnswer: 53*o**2 + 3*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/9 - 4500296*s\/9 - 2531583010952\/9.\nAnswer: -2*(s + 1125074)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w**2 - w**2 + w**2)*(5*w - 3*w - w) - 2*w**3 + 2*w**2 - 2*w**2 + 7*w - 7*w + 8*w**3 to t*w + p + i*w**3 + q*w**2 and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 0.1641?\nAnswer: 0.8205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -48 (base 10) to base 3.\nAnswer: -1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 42482.88 millilitres?\nAnswer: 42.48288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j - 2 - 3 - 2. Let f(o) = -o**2 - 8*o - 1. Let t be f(-7). Let q be w(t). Which is the biggest value? (a) 4 (b) 0.1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2746 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 7*m - 4. Let f(y) = y**2 + 7*y - 11. Let k be f(-9). Calculate n(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/9)\/(4\/(-18)). Suppose -5*o + 289 = 2*h, -u*h - o + 401 = -h. Is h a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.375 - 0.025. Let c be 2\/6 + 32\/(-6). What is the biggest value in h, 1.1, c?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7355 + 7351. Which is the nearest to -0.1? (a) -0.1 (b) w (c) 0 (d) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -7\/5, -0.4, -98, 0.67, 0.4 in ascending order.\nAnswer: -98, -7\/5, -0.4, 0.4, 0.67, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 6:29 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 539089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - z = 36. Suppose 0 = r - 4. Calculate the lowest common multiple of z and r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 1:01 AM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/160)\/(15\/(-20) - 1). Is 1 at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 257*h**2 + h - 2. Suppose 2*n = -2 + 4. Let c be q(n). Let z = c - 168. Does 22 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53 + 171 + 232)*(1 + 1 - 4 + (4 + 2 - 5)*(2 - 5 + 2) - 5 + 2 + 1 - 3 + 1 + 1)*(-i**3 - i + i).\nAnswer: 2736*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20155 and 580?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 87 = -0*z. Let h = z - 24. Suppose -h*b + 3*b = -6. Solve -3*i + 7 + 12 = -5*d, -b*i - 2*d = -5 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1365 and 3797150.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19*s**3 + 98*s**2 + 129*s + 18.\nAnswer: (s + 2)*(s + 3)*(19*s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f + 2*f = 102. Solve -2*p = -4*p + f for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-304)\/(-20) + (217\/(-35) - -7). Suppose -20*q + 120 = -j*q. What is the highest common divisor of q and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48862, -99124, -149388, -199654, -249922?\nAnswer: -300192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 39*g**3 - 3*g - 5. Is s(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -1 - 240*z**2 + 1 + 247*z**2. Let v(y) be the first derivative of 2*y**2 - 3505. Determine u(v(d)).\nAnswer: 112*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-7 - -3)*(-2420)\/9. Let t = -3205\/3 + y. Find the common denominator of t and -23\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 3*b + 2*o + 967, 3*b - 2*o - 2913 = 0. Let h = b - 212. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.69 - -739.\nAnswer: 741.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -4*l**3 - 7*l**2 - 6*l - 3. Let v(y) = 3*y**3 + 7*y**2 + 7*y + 2. Let n(d) = 4*s(d) + 5*v(d). List the prime factors of n(8).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2257 (base 9) to base 4.\nAnswer: 122020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*t - 30*t - 3 = -28. Let z(b) be the second derivative of t*b + b**2 - 25\/12*b**4 + 0*b**3 + 0. Differentiate z(r) with respect to r.\nAnswer: -50*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s - 3147*s**3 + 2*s - 499*s**3.\nAnswer: -3646*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 253888477?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(7\/9)*(1120\/(-72))\/10.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of n**4\/4 + n**3\/3 - n**2 + 4*n - 1. Let m be (-5)\/(-2)*8\/5. Suppose 3*v + 3 = 0, m*o + 0*v = -4*v - 16. Calculate f(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 45, -4 in decreasing order.\nAnswer: 45, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 26141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (644*q**3 - 327*q**3 - 318*q**3 + 249*q)*(1 - 1 + 6*q).\nAnswer: -6*q**4 + 1494*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-4\/5))**(-2\/3)\/(v**(-4\/5)\/v**(-10)) assuming v is positive.\nAnswer: v**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 28*u. Let r(t) = -14*t. Give 2*l(k) + 5*r(k).\nAnswer: -14*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 + 4*j**2 - j**2)*(4*j**3 - 26*j**3 + j**3).\nAnswer: -42*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 339*l + 160 + 156*l**2 + 204*l + 2*l**3 - 861*l.\nAnswer: 2*(l - 1)**2*(l + 80)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -4*z + 128. Give r(34).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/2, -1, 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b - 8 = 4*b + 2*w, 0 = -5*b - 2*w - 8 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + o - 4 = 0, p - 4*o + 1 = -2. Is 6245\/p*(-12)\/(-20) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15\/(-6)*(-4)\/5. Let b be 4 - ((-2 - -3) + -2). Suppose -2*r - 17 = b*y, -x*r - 3 = -4*r - y. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -11, 9, 41?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -31542 divided by -6\nAnswer: 5257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 64964592 a multiple of 279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 5*u**2 - 5*u. Let w be h(-4). Suppose 11 = w*m + 7. Let s = 2 - 4. Which is the smallest value? (a) s (b) m (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56) + -2*sqrt(448)\/sqrt(8) - sqrt(56)) + (sqrt(504) - -2*sqrt(504)))\/(sqrt(648)*2*1*-6).\nAnswer: -7*sqrt(7)\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v - 10*v**2 + 1 - 2*v**4 + 2*v**3 - 11*v**2 + 24*v**2 - 11*v**2 to the form h*v**4 + i + l*v + u*v**3 + f*v**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -5*y + 96. Is 22 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/6 + (-30)\/(-9). Suppose -z + 465 = s*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -345 smaller than -16478?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4236 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -15984, 4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - -62. Let k = r - 55. Find the first derivative of -6 + 13 + 8 - k*l - 5 wrt l.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aayy when four letters picked without replacement from qaaaqyayaab?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -225 - -401. What is the highest common factor of j and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28508?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1702d (base 14) in base 11?\nAnswer: 3a363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) -19\/3 (b) 1.3 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -102 + -14*(-180819)\/24864.\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by 24\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 22a (base 11) in base 7?\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003713 to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - o = 6 - 33, 3*g + 36 = 4*o. Let y be g\/10*15\/30. Suppose 5*z + 0*z = 5. Which is the third smallest value? (a) z (b) 2\/3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25685.6 litres in millilitres?\nAnswer: 25685600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b + 2*b + 2*b)*(-b + 5*b - 2*b + (-5*b + 3*b + 4*b)*(0 - 1 - 1) + b - b - b) in the form m + o*b**2 + h*b and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2158 + 2150. What is the fourth smallest value in -8\/7, r, -1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is cf (base 16) in base 2?\nAnswer: 11001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -984 + 17643?\nAnswer: 1698c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2242*t - 2236*t. Let x(j) = -14*j**2 - 23*j + 8. Let o(q) = -5*q**2 - 8*q + 3. Let b(f) = 17*o(f) - 6*x(f). Give b(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, z: 7}. What is prob of sequence zzaa?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1888 divided by -2092?\nAnswer: -472\/523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 14620874 = 14620866?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -45 - 22. Let u = -45 - s. Let t be (-1 + 4)*u\/3. What is the highest common factor of t and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1804 divided by 451.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7463368.\nAnswer: 2, 11, 84811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 18*s**2 + 31*s - 22. Let f be r(-16). Suppose -2*x = 4*i - 24, 4*x - 2*i - 3 = -i. Let c(y) = x*y - 4*y - 10 + y. Determine c(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00019310468 to 5 dps.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrjj when four letters picked without replacement from {s: 2, r: 1, z: 1, j: 5, e: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -480676 divided by 85?\nAnswer: -480676\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**4 - k**4 - 329*k + 0 + 0 + k**2 - k**3 + 297*k to the form c*k**2 + s*k + r*k**3 + i*k**4 + b and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103120033 - -10?\nAnswer: -103120023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 3:44 AM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/3)\/((-10)\/45)*(-348)\/(-261).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 265262249?\nAnswer: 7, 19, 1367, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*o = -12967 + 28135 - 13518 for o.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*i - 40 = 0. Suppose -6 = -2*m + i. What are the prime factors of m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/14940 and 133\/44820?\nAnswer: 44820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 225735 to the nearest integer?\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - 6*o + 5. Give a(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 45\/(-66) + (-6)\/(-12). What is the biggest value in m, -1, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9233 is divided by 1136.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -11) + -62 + 2?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 19 - 9. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + 14*x + 2. Let a(o) = -o - 1. Let w(j) = 6*a(j) + k(j). Let q(s) be the first derivative of w(s). What is the first derivative of q(n) wrt n?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1555203387.\nAnswer: 3, 29, 17875901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 AM and 6:39 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 757439092*c**2 + 3*c**3 - 757439092*c**2.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-3)*t*t**(2\/3))\/(((t*t**5*t)\/t)\/(t*t\/(t*t*t*t**(-2)\/t*t*t*t))) assuming t is positive.\nAnswer: t**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100243.\nAnswer: 11, 13, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.4 (b) -3 (c) -167 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tmxmptmmptpmnxptxmw. What is prob of sequence mwp?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3 - 2)*(-3 + 3 + 8*o) - 4*o + 2*o - 2*o + (1 - 1 - 2)*(o + 0 + 0) to the form a + j*o and give j.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j**5 - 15968*j**4 + 128052*j**3 + 207872*j**2 - 512144*j - 576000 = 0. Calculate j.\nAnswer: -4000, -2, -1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -206*i + 15035. Calculate d(73).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.8333 and -0.3?\nAnswer: 0.24999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 52.173 * -0.2.\nAnswer: -10.4346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/1916 and -23\/692.\nAnswer: 331468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24441.\nAnswer: 3, 8147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.7 + 1.7. Let a = 2 - -2. What is the nearest to m in 0.4, a, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in six fifths of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2705710 or -0.016?\nAnswer: 2705710","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(26)\/(4*sqrt(10)\/sqrt(5)))**2.\nAnswer: 65\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3050590 is divided by 100?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, z: 3, i: 3, o: 2, t: 3}. What is prob of sequence oi?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6956848.\nAnswer: 2, 434803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from suursyscffusru. Give prob of sequence rcus.\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -11*q**2 + 3*q + 4. Let o(t) = -t**2 - 1. Let x(s) = -m(s) - 3*o(s). Let z be 7*((-5)\/(-35))\/(1\/4). Is x(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oxosxxmxxomsxp. Give prob of sequence spsx.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 0*g + o = -5, -13 = 2*g + 5*o. Let s(u) = -4*u + 0*u - u - g. What is s(2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -912 + 35570\/39. What is the smallest value in -1\/6, -1, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.082 - -7745.\nAnswer: 7745.082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 63295 to the power of 1\/2, to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208293811 is divided by 2200?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**(3\/4)*j**(16\/7))**(7\/3))**42)**(-3) assuming j is positive.\nAnswer: j**(-1491\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of 1 - 13\/150*l**5 + 0*l**2 + 1\/75*l**6 + 0*l**3 + 2\/45*l**4 - 13*l. Factor i(d).\nAnswer: 2*d**2*(d - 4)*(3*d - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144969971?\nAnswer: 131, 839, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/sqrt(2))**2 - ((sqrt(32))**2 + -4).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*z**3 + 0 + 1 - 22*z**2 - 11*z**2 + 34*z**3 to h*z**2 + o*z**3 + g*z + y and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -30*b - 1. Is p(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -2*j + 108. Suppose 13*p + 10*p - 600 = 47*p. Is p greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 636930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -69*o**2 - 67*o**2 + 137*o**2 + 21 - 7*o. Let g be h(7). Calculate the greatest common divisor of 273 and g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 65.98094 decades?\nAnswer: 659.8094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**2 + 334*j + 5454. Give y(-15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -850*r + 5838. Give p(7).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**4 - 2*u**4 + 0*u**4)*(-u + 3*u - 5*u).\nAnswer: -3*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 19. Let p be (-192)\/(-60) - 2\/10. Suppose -a - g + 11 = 0, 2*g + 1 = -a - p*g. Calculate the least common multiple of x and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in w**4\/10 - 15993*w**3\/10 - 448679*w**2\/10 + 1457973*w\/10 - 496651\/5 = 0?\nAnswer: -31, 1, 2, 16021","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 13*c**2 + 15*c + 7. Suppose 0 = -4*q + p - 44, 3*p + 2*p - 20 = 0. Is z(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2 + sqrt(1300) + sqrt(13) + 2*sqrt(1872)))**2.\nAnswer: 560*sqrt(13) + 63716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 406453339 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.28 (b) 0.5 (c) -1\/4 (d) 7 (e) -51 (f) 5 (g) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 5*j**2 + 7*j. Determine q(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -146*s**2*t**2 - 13*s**2*t + 3*s**2 + 4*s*t**2 wrt t.\nAnswer: -292*s**2 + 8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-8) + 31\/2. Let u be (-117)\/i + (-1)\/5. Let c(j) = j**2 + 6*j - 8. What is the units digit of c(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3)\/d*d**3)\/(d\/d**(1\/6)*d*d\/((d\/d**(-3))\/d))*d**(-1)\/d**4*((d*d**1*d)\/d*d)**29 assuming d is positive.\nAnswer: d**(487\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -12*k - 764. Let r be i(-65). Solve 1 = -r*j - 79 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.782479 decades to years.\nAnswer: 7.82479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 1 + 13 = 0. Suppose -3*i = 3*r - 177, o*i = r - 3*r + 176. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192 = -7*t + 6*t + 3*j, -2*t + 4*j = 376. Let k = t + 182. Solve 5*n + 7 = -3*z, 11 = -4*n + z + k*z for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167 is divided by 22.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -14 (b) 0.4 (c) -3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s = l - 90 - 33, -s = 17 - 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4227.4 - -1330024407.\nAnswer: 1330020179.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7141, -13206, -19267, -25324?\n\"Answer: 2*u**2 - 6071*u - 1072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37554 is divided by 12365?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6\/5)*k*k**(-1\/2)*k)**1 assuming k is positive.\nAnswer: k**(3\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.10772 hours to minutes.\nAnswer: 4266.4632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -207810b?\nAnswer: 2078109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 16, 28, 42?\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -236 + 219. Is -18 less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 4, -3, -10, -17?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -88.1069 and -0.3?\nAnswer: 26.43207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/(-140) - (417\/357 + 2\/17)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-10))\/(-4*(-99)\/220)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*c + 86 - 11 = 0. Is (c + 13)\/5 + 1872 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - z = -0*z + 1, 0 = 2*y - 4*z + 14. Let p(r) = 5*r - 4*r + 3 - 4. Let c(b) = -4*b + 7. Calculate y*c(l) + 6*p(l).\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, q: 1, e: 5, s: 5}. Give prob of picking 2 e and 2 l.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43 + -27. Suppose -6 = -v + 3*v, a = -5*i + 3*v. Let g = 4.22 - 3.92. What is the nearest to 1 in 3\/4, i, g?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 4*k. Let s(d) = -5*d - 7*d**3 + 0*d**3 + 12*d**3 - 6*d**3. Determine -4*s(g) + 5*y(g).\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 43 + -40?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3410.\nAnswer: 2, 5, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 6, 49, 0.05, -1, -1\/7, 1.2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15518423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*x + 6*x - 2*x)*(0*x**2 - 2*x**4 + 0*x**2 + (0*x + 0*x + 2*x**3)*(0*x - 2*x + 3*x) - 3*x**4 + 2*x**4 + 3*x**4) + 4*x**5 + 6*x**5 + x**5.\nAnswer: -5*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -p**4\/12 + 3*p**3\/2 - 5*p**2\/2 - 5*p. Let n be x(8). Suppose 0 = -4*q + q - 5*f + 145, 0 = n*f + 12. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -4*b**4 + 12*b**3 + 1716*b**2 + 12100*b = 0.\nAnswer: -11, 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 3*z - 20 = 0. Suppose -79 = 2*i - 3*k, 120 = -3*i - 0*k + 4*k. Let t be i\/(-20) + (-1)\/5. Calculate the highest common divisor of t and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 136575.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a year in months?\nAnswer: 162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10880 and 5187040.\nAnswer: 20748160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 357954, 715891, 1073828, 1431765?\n\"Answer: 357937*v + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 2*u + 22, -281*d = -277*d + 3*u - 67. Let w(r) = -23*r + 212. What is w(d)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/11119920 and -37\/150.\nAnswer: 55599600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 80 - 80.136. Let p = -0.836 - z. Which is the second smallest value? (a) -1 (b) p (c) -5 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*(-9)\/12)\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12834359?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {d: 2, c: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 5820142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -2\/9 (c) 3 (d) -0.124696 (e) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 555339709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = z - 2*z. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*(-5)\/(-30))\/(1230\/2583)*(-72)\/(-7)?\nAnswer: -72\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 5 = q, -i + 20 = 5*q - 7. Suppose 5*p = -4*d + 3490, 3*p - i*d = p + 1378. What are the prime factors of p?\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -5*o**8\/336 + o**5\/15 + 2*o**2 - 3*o. Let h(u) be the first derivative of t(u). Find the third derivative of h(y) wrt y.\nAnswer: -300*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3, -6, -2\/13, 2\/5, -0.076, -0.5, 4.8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8024 + -8050.904. Let w = c - -27. Let k = w - -9.904. Which is smaller: 3 or k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - 15*g - 46. What is t(34)?\nAnswer: 600","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2211 - 2208. Solve -2*y + l = -3*f - 6, f - 4*y = 7 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -85*v**3 - 8*v**3 - 75*v**3 - 4 + 13 - 50*v**3 with respect to v.\nAnswer: -654*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 468 = -7*z + 468. Let t(p) = 9 - 3*p**3 + 41 + p + 2*p**3. List the prime factors of t(z).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3340222 (base 5) to base 7.\nAnswer: 333315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 27*r + 11. Suppose v - 3*v - 46 = 4*g, -5*v - 141 = -3*g. Let s be a(v). Solve 2*b + 7 = s for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(90\/(-14))*(2 + 54\/(-504)*8)?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81526484?\nAnswer: 2, 13, 313, 5009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (494*z**2 + 264*z**2 - 116*z**2)*(0*z + 0*z + 3*z).\nAnswer: 1926*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/24)\/(33\/5). Let o = i - 3\/44. Which is bigger: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2632293.11 rounded to the nearest 1000?\nAnswer: 2632000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4*r = 4*q - 26, -q + 2*r - 4 = 0. Let g = -3 + q. Suppose 18 = 3*k, 0 = 5*t + 4*k - 33 - 11. Solve -6 = 3*j + g*m, 5 = t*m - 5*m for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 510*y - 4594. What is c(9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mn when two letters picked without replacement from fminiiimmmicqqc?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -328 + 832. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21002?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*k + 125*k + 64*k - 7275*k**2 + 7317*k**2.\nAnswer: 42*k**2 + 205*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31237 + 31237.173. Is 23 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13658?\nAnswer: 2, 6829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of 5*y**4\/24 - 2*y**3\/3 - 4*y**2. Let l(a) = -2 - 6*a - 7 + 17*a. What is -9*d(j) + 4*l(j)?\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -205 + 1231\/6. Sort 4\/21, -4, y, 5.\nAnswer: -4, y, 4\/21, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 15 = 3*m. Let f be 15\/(-2) - 7\/14. Calculate the remainder when (-1 - f - 0)\/1 is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2127 + -0.2327. Sort m, -1.6, 5, -3 in descending order.\nAnswer: 5, m, -1.6, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/2485 - 1487\/9940. Sort z, -5, 0, -3 in descending order.\nAnswer: 0, z, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39891450 + 2*y**3 + 39891450.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29*c**5 + 2*c**2 + 396*c.\nAnswer: 580*c**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/(175\/15) - (-7)\/5. Suppose f*c - j + 3030005 = -c, -4*j + 2020020 = -2*c. What is c rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bq when two letters picked without replacement from {q: 2, y: 1, b: 4}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of 2*c**5\/5 - 7*c**4 + 38*c**3 - 36*c**2 - 216*c - 217. Let s(b) = 0. Calculate b.\nAnswer: -1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 7349507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.1 and -10.8.\nAnswer: -11.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -292745, -585489, -878233?\n\"Answer: -292744*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x + 9. Let i be ((-5)\/15)\/((-1)\/6). Let s(b) = 5*b + 37. Let t(p) = i*s(p) - 9*w(p). What is the derivative of t(r) wrt r?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.15 - -0.06. Let f = -4.91 + h. Which is the third smallest value? (a) f (b) 0.07 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 13 - 2*b**2 - 4*b**2 - 16 - b**3 - 6*b. What is the remainder when r(-5) is divided by 2\/(-10) - 12\/(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 3*o = 5*m + 53, 0 = -m - 2*o + 8. Suppose 0 = 5*y - 2*r - 18, 5*y - 25 = -m*r + 5*r. Solve y*i + 0 = -12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (306 + 5 + -11)*1. Suppose 0 = 20*d - 15*d - l. What is the greatest common divisor of d and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/50 - ((-452)\/10 - 1). Suppose 9*k - 4*k = 205. Suppose 200 = -k*c + p*c. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -43 + 48. Suppose 4*i + 2*q - 44 = 0, 2*i - r*i - q = -31. Is (3\/i)\/((-1)\/(-8115)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2948 - -32451\/11. What is the common denominator of f and (((-15)\/(-27))\/1)\/(11\/(-11))?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(90\/(-64)))\/(40\/(-50)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 15 = -24. Let u = 18 + f. Suppose 5*b + u*c - 30 = 0, 4*b = 3*c + 4 + 6. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -7441*v - 7243. Is b(-72) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131300202 + -1203?\nAnswer: -131302011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 5*l**3 + l**2 + l - 1. Let q be k(-2). Let g = q - -92. Is 15 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 6*h = -20. Suppose -2*a = -h*c, 2*a = 2*c + 4*a - 14. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 29 = -4. Let t = 63 + -63. Put i, -4, -3, t in decreasing order.\nAnswer: i, t, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9.4369+-50682\nAnswer: -50691.4369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*h - 7*h - 4*h)*(-9*h - 26*h**3 + 9*h) in the form l*h**4 + x*h**3 + f*h**2 + k*h + s and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22972 is divided by 11480?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/13 - -25\/78. Let g be -1*6\/9*6\/12. Which is the closest to 7? (a) v (b) g (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*z + 935 - 1589 = 2307 for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-265)\/(-75) + -3)\/((-2)\/3).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (-3)\/(12\/16). Suppose -n = 2*n + 2*q - 287, 0 = 5*n + 2*q - 477. Suppose 0 = k + s*k - n. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -80.215 and 2?\nAnswer: -160.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.02 + 2.72. Sort y, -4, 0.2, -0.2.\nAnswer: -4, y, -0.2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -7 + -122 + 148?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -135a84b - 2?\nAnswer: -135a850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 36*z + 246. Let b be w(10). Suppose b*g - 80 = 601*g. Which is greater: g or -6?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -795.17 - -795. Sort -0.4, t, 2 in ascending order.\nAnswer: -0.4, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-77*(-16)\/880)*-14*2\/5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 492642.9um in nanometers?\nAnswer: 492642900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5068261.\nAnswer: 11, 17, 27103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of 1\/24*j**4 + 16 - 1\/6*j**3 + 0*j - 19\/2*j**2. Let a(s) be the second derivative of p(s). Let k(m) = m. Give a(b) - 2*k(b).\nAnswer: -b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -5*m. Let h(r) be the third derivative of r**4\/8 - r**2. What is b(h(i))?\nAnswer: -15*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -659691 divided by 110\nAnswer: -659691\/110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.432 (b) 7\/44 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -31*u**2. Let b(t) be the second derivative of 0*t**2 + 0 - 1\/3*t**3 - 2*t. Calculate b(c(z)).\nAnswer: 62*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -421 + 155. Let p(m) = m**3 - 9*m**2 + 11*m - 10. Let v be p(7). Find the common denominator of 69\/2 and 2\/(-3 + i\/v).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 558 and 3800259?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 11.6 * 0.12\nAnswer: 1.392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/410 and 83\/380.\nAnswer: 15580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -f**5\/60 - f**4\/24 + 4*f**3\/3 + 2*f**2 - 9*f. Calculate the remainder when (12\/(-10))\/(2\/(-10)) is divided by g(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n + 2 - 2 + (1162 - 1162 + 42*n)*(1 + 3 - 6) + (-8 + 5 + 9)*(1 - 2*n - 1) + (-2*n + 2*n - n)*(-6 + 3 - 7) in the form d*n + y and give d.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*s**2 + 0*s**2 + 19*s - 1 + 0*s**2)*(30 - 24*s - 30) to the form m*s**2 + b*s**3 + i*s + t and give i.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4668 is divided by 33.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1346, 1348, 1352, 1358, 1366?\n\"Answer: b**2 - b + 1346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -6\/754867229?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p - 2*b + 6, -46*p = -49*p - 5*b - 1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 0. Let m = -0.8 - a. Let k = 0.3 + m. Sort 1, -5, k in descending order.\nAnswer: 1, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -l**6\/2340 + l**5\/260 - l**4\/78 - 4*l**3\/3 - 1. Let h(d) be the third derivative of n(d). Determine w, given that h(w) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (65\/(-52))\/(1\/(-12)). Suppose k*n = 10*n + 25. What is the second derivative of 3*l**5 + 3*l**5 - 12*l + 2*l**n - 4*l wrt l?\nAnswer: 160*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) - (sqrt(88) + sqrt(88)*1))\/sqrt(8) + sqrt(11) + 6*sqrt(44) - (-5 + sqrt(539) + 0).\nAnswer: 5 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, v: 1, a: 1, u: 2, m: 1, r: 1}. What is prob of picking 1 a and 1 u?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 382558210 is divided by 195?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y*y**(-3\/2)*y*y))**(5\/4)\/(y**7\/y*y**(-2\/13)))**(-12))**1 assuming y is positive.\nAnswer: y**(2019\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 15 = 3*v + 12, 2*l = -5*v - 29. Let s be l\/(-14)*21\/6. Solve -4*b + 8*b + s = -f, -5*b + 5*f = 35 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5452*m + 7153 = 5250*m - 11027 for m.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 2*g = -4, -3*t + 2*g - 9 = -0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6287\/19 + -331. Let t = 1352\/11 + -123. Which is the second biggest value? (a) -4 (b) u (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70\/175*((-1885)\/182)\/29?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20158 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -2 + -2 + -6 + (5 - 6).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/32 + (-1153970)\/(-22112))*(-8)\/10?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 204461?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1\/10, 0.5, 0.201?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 3*o = 0. Suppose o = 4*b - 3*b - 20. Is 381*(b*(-4)\/(-24) + -3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62*b - 39*b - 31*b to i + f*b and give f.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*a - 11*a - 4*a**2 + a + 2*a - 662*a**5 wrt a?\nAnswer: -39720*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -359 - -354. Let r(z) = 657*z + 404. Let j(f) = -438*f - 270. Let g(q) = h*r(q) - 8*j(q). Find the first derivative of g(u) wrt u.\nAnswer: 219","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1285248469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 11:15 AM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -j**3\/3 - 7940. Let h(r) = -8*r + 1 - 14*r - 2. Give h(b(p)).\nAnswer: 22*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*y + 1 = 0, 5*y - 1 = -5*u + 4. Let j = 8 - u. Calculate the smallest common multiple of j and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - a + 1. Let u(v) = 10*v**2 + 9*v - 9. Let r(j) = -18*h(j) - 2*u(j). Let c(g) = 5*g. Give c(r(n)).\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(4\/35))\/m**(-5\/4) assuming m is positive.\nAnswer: m**(331\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59067500?\nAnswer: 2, 5, 23627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 560\/(-12)*3\/2. Is 1\/(-3)*(t + 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i\/(((i**(-3\/11)\/i)\/i)\/i))\/i)\/i)\/(i\/i**(3\/5))*(i\/i**(-3))**(-3\/5) assuming i is positive.\nAnswer: i**(26\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12956 and 15026828?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -28 + 31 - (-5 - -2). Let l = 2.4 - 0.9. Let p = l + 0.5. Which is the second biggest value? (a) 0.5 (b) w (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2334220*10\nAnswer: -23342200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 20131032303 (base 4) in base 9?\nAnswer: 4147883","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 4*t - 8. Let z(g) = -10*g + 13. Determine -7*o(f) - 3*z(f).\nAnswer: 2*f + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + n**2 + 6*n - 14. Let j be u(-9). Let d = j - 1375. Round d to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-570)\/(-152)*(0 + 4) - 1127\/75?\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51261 (base 10) to base 9.\nAnswer: 77276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -558*r**2 - 562*r**2 + 1117*r**2.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q = 4*q - 320 - 120124. List the prime factors of q.\nAnswer: 10037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6338670514335 - -0.16.\nAnswer: 6338670514335.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 157947.7kg in micrograms?\nAnswer: 157947700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-48)\/10)\/((-3)\/(-15)). What is the remainder when 47 is divided by (k\/20)\/((-4)\/40)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 34 + 210224?\nAnswer: 210313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18.1 - 17.4. Which is the nearest to 2? (a) -1 (b) l (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -3 (b) -855328 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39432 or 45007?\nAnswer: 39432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 5 - 3. Put d, -2, 4, -4 in descending order.\nAnswer: 4, d, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 + 104 + (9 - -6) - 8) + (2 - 6)?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 4) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of f*p**3 - 1178*f*p**2 + 2*f - 1979*p**3 wrt f?\nAnswer: p**3 - 1178*p**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 233935519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -494*c - 500 = -444*c. Put c, 1, -2 in ascending order.\nAnswer: c, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49 and 17395.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16730983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32.42*-4.\nAnswer: 129.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k - 164 = -22*p - 4*p + 4*k, -3*k = -p + 12 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -146, 2 in decreasing order.\nAnswer: 2, -2, -4, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 + 24 = 4*u + 2*l, -l = -5*u + 86. Is 19 a factor of (-2)\/u + 5450\/85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*x**4 - 12*x**4 + 20*x**4 + (-13 + 4*x**2 + 13)*(-2*x**2 - 2 + 2).\nAnswer: -9*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + -2)\/(27 + -1).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-1)*-2)\/(63\/2730*16\/(-12)).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/90)\/(2\/(-10)*1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*((-315)\/49)\/9*(1 + -2)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -18754, -36386, -54018, -71650?\n\"Answer: -17632*z - 1122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*k - 1386 + 504 = 0 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 5*p = 21, 5*k + 25*p - 30*p - 25 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 5273717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21791094 and 6632?\nAnswer: 1658","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = 10*l + 12 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39721?\nAnswer: 11, 23, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 11:15 AM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-28)*-76*(-1)\/(-8)*-4.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -77178*p + 1903. Is s(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 5, -4, -35 in descending order.\nAnswer: 5, 2, -2, -4, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.12 or -0.23?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(1300) + -1)**2 + 2 + 2.\nAnswer: -20*sqrt(13) + 1306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50749*n**3 - 101467*n**3 + 50733*n**3 + 1.\nAnswer: 15*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(28)\/sqrt(4)*4 + 1 + sqrt(28)))**2 + 5*(-4 + sqrt(28)\/sqrt(4) + -2).\nAnswer: 113*sqrt(7) + 2247","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(-7)\/m)*m\/m**(-4))**(-41) assuming m is positive.\nAnswer: m**(-574)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 11*o**2 - 11*o + 13. Let h be g(9). Let v = h + -45. Is 20 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of 0*n**4 - 3\/5*n**2 - 17 - 3\/25*n**5 + 0*n + 3\/5*n**3. Factor l(h).\nAnswer: -3*h*(h - 1)**2*(h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 838.\nAnswer: 2, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - 22*t**2 - 22*t - 23. Let f be o(23). Suppose f = 4*s + g - 5*g - 24, -2*s = -4*g - 8. Calculate the remainder when 22 is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.62166 nanometers in centimeters?\nAnswer: 0.000007662166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.8 - 1.1. Sort -0.5, f, 0.1 in ascending order.\nAnswer: -0.5, f, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1316 and 64672.\nAnswer: 452704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11917388, 11917389, 11917390?\n\"Answer: b + 11917387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -75\/2*c**3 - 189\/2 - 657\/2*c - 615\/2*c**2.\nAnswer: -3*(c + 7)*(5*c + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -1\/3 (b) -12464 (c) -7\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1866, -0.1, -5, 2 in decreasing order.\nAnswer: 1866, 2, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - 5 - 11 + 6 - 4*c. Let v be s(7). Let j = 21 + v. Is j a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -3*h**2 + 3*h - 27. Calculate c(5).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2460 and 1230?\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18846 - -18845.5. Which is the third biggest value? (a) 0 (b) 1489 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.427 take away -2?\nAnswer: 29.427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 89 + 146. Suppose 0 = -n + 32 - 34. Let c = n + r. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of -r**2 + r + 3\/2*r**3 - 1\/12*r**4 + 0. List the prime factors of n(7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*a - 25*a + 240. Suppose 0 = 3*q + q - a. Calculate the highest common divisor of q and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v - 4. Let r(y) be the first derivative of -y**2 + 4*y + 2. Let j(t) = -t**3 - 40*t**2 + 87*t + 124. Let c be j(-42). What is c*s(l) - 3*r(l)?\nAnswer: 2*l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -14142 (base 13) in base 14?\nAnswer: -d99a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 336 and 4?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34 + -18. Suppose 13 = j + 3*d, -5*j = -3*d + 56 - 139. Let l = p - j. Let o(w) = w**2. Determine o(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13590 and 8057058.\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 305 + -371. Let r = t - -66. Solve -4*w = -3*a + 21, a + w + 0*w = r for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 176053 + 4842.72.\nAnswer: 180895.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o**4 - 28*o**3 - 5*o**4 + 34*o**3 - 71 - 25*o**3 as m*o**4 + f*o + v*o**2 + c + k*o**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-29)\/(754\/(-91))*2\/19. Is t bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-2))\/(110\/44)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10053 - 10016. Sort t, -1, -3 in increasing order.\nAnswer: -3, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 636 and 85224.\nAnswer: 85224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 76 = 3*g - 101, 4*m - 5*g + 715 = 0. Let z = -152 - m. Is 7 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 162430*d**3 - 30*d**2 - d - 389 wrt d?\nAnswer: 974580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(1\/6)*g)\/g)\/g)\/(g*g**(-7)\/g) assuming g is positive.\nAnswer: g**(37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 146006 to the power of 1\/2, to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.4383026nm?\nAnswer: 0.0004383026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 60317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 3*a**2 + 4*a**2 - 2*a**2 + (2*a + 0*a - 3*a)*(a - 5 + 5) to g*a**2 + c*a + n and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) 0.4 (b) 1.1 (c) 0.5 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -13. Let o = f - -31. Calculate the remainder when (-95)\/2*12\/(-15) is divided by o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/17)\/q)\/((q*q**(-1\/38)*q)\/q)*q**(-11)\/((q*q\/(q*q\/((q*(q*q\/(q**(21\/5)\/q))\/q)\/q)*q)*q)\/q) assuming q is positive.\nAnswer: q**(-31949\/3230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28360, -59947, -91534, -123121, -154708?\nAnswer: -186295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 - 11?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 7:57 AM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42 - -49. Suppose -4*a + m*l = 4*l - 22, a = -5*l + 17. Let v be (-5)\/(-2)*(-2 - -4). Solve 20 = -v*h, z = 2*z + h + a for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1010279 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 168 and 147?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) + -2*sqrt(136)*5 - sqrt(136))\/sqrt(8))**2.\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23737*q**3 + 48284*q**3 - 24543*q**3.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -4*v + 17. Let c(f) = f - 4. Let n(u) = 9*c(u) + 2*g(u). Let y be n(4). Suppose y*p = 2*r - 356 + 54, -3*p - 153 = -r. Does 25 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2 = -0*t. Suppose 5*z + 3*s - 18 = 0, -z + 13 = 4*z - t*s. Let l = -12 - -8. Which is the second biggest value? (a) l (b) -1\/3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -21*y**4\/2 - 6*y**3 + 93*y**2\/2 + 24*y - 18 = 0.\nAnswer: -2, -1, 3\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -232906735 or -232906736?\nAnswer: -232906735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mj when two letters picked without replacement from {m: 4, c: 9, j: 1}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - -9)*(-2222)\/(-44) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 56817 or 56778?\nAnswer: 56817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q**(-1))**(-20)*q**(-1\/5)\/q**(-3\/4))**(-34) assuming q is positive.\nAnswer: q**(6613\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-94805)\/(-4355) - (-4 + 25).\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -2*z - 19, 3*z + 13 + 2 = 0. Let n be b*(-3)\/(-9) - -1. Suppose -a - 4*o - 24 = -2*a, -n*a + 20 = -o. Does 8 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 * -210155.\nAnswer: 4203.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - t**2 + 4. Let n = -8 + 4. Let k be -1 + (2\/9 - (-29)\/(-9)). Let i = k - n. What is o(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 230, 256, 260, 230, 154?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 4*z - 8. Let g be h(-6). Let j = 4 - g. Solve s = -j*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45 + 45 - (-7 + 5) - 13\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-72)\/160*-15 - 7. What is the nearest to u in 4\/7, 0.2, -3\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26593739737 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 25.7 * -1.5711\nAnswer: -40.37727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*l - 882 + 974 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12, 5, 32, 69, 116, 173?\n\"Answer: 5*n**2 + 2*n - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 30 (b) -1 (c) -9\/47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - d**2. Let y(o) = 2*o**3 - 2*o**2 + 2. Suppose 0*n - 2*n + 2*r = -6, -4*r - 3 = 5*n. Calculate n*y(w) - 4*v(w).\nAnswer: -2*w**3 + 2*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hwhwhhwhhwh. What is prob of sequence whhw?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001186684946 to five decimal places.\nAnswer: 0.00119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 1\/3 (c) 0 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31944 and 792?\nAnswer: 95832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-2) - (145\/(-35) - -4)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-224)\/2240)\/(-2*(-3)\/(-20))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 2*t = -15, -3*y - 191*t + 196*t = 15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4765 and 84?\nAnswer: 400260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 16*r**3 + 3*r**2 - 3*r. Calculate the remainder when i(2) is divided by ((-430)\/129*(-27)\/(-24))\/((-2)\/8).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 212343914 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: Does 12 divide 100872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4)\/q**(-4\/7)*(q**(-1\/4)*q*q)**(3\/7))\/((q**(1\/4))**31)**(13\/5) assuming q is positive.\nAnswer: q**(-799\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 4*k = -4*q + 37, -3*q = k - 29. Let p = q + 2. List the prime factors of p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-2 - 16) - (41 + (38 - 65))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 382490 and 230?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63 and 132?\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2418577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 146715384 divided by -6.\nAnswer: -24452564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 5*t**2 - 4*t - 2. Calculate the remainder when 108 is divided by b(3).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82013.09 meters in centimeters?\nAnswer: 8201309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15312 + -15312.3. Suppose 0 = -3*p - 2*l - 6, -2*p = -6*l + l - 15. Let m = -0.6 - 0.4. What is the second biggest value in p, m, 5, h?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14.2 + 14. Which is the nearest to -5? (a) 4\/5 (b) k (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6529 is divided by 819?\nAnswer: 796","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 k, and 2 b when four letters picked without replacement from {b: 3, y: 3, k: 5}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*z - 36 = 135*z + 2*p, -4*p = -5*z + 28 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5 + 4 - 1)*-2. Suppose -2*g - 554 = -s*g. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of q**4\/3 - 3*q**3 + 3*q**2\/2 + 51*q. Is c(22) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-8))\/(67*(-71)\/(-19028))?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*h + 5*h + 27. Let q(l) = -11*l - 19. Let f(c) = -4*c - 6. Let v(m) = 8*f(m) - 3*q(m). Does 18 divide v(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12645.784 to the nearest ten.\nAnswer: 12650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 0*z + 4*p - 1384, 5*p = 3*z + 1388. Let t be 3\/(-6) - z\/(-16). Let y = 56 + t. Calculate the remainder when 106 is divided by y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -342, -320, -252, -114, 118, 468, 960?\nAnswer: 1618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3 + 336234*c**2 - 72*c - 12104424.\nAnswer: 2*(c - 6)*(c + 6)*(c + 168117)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5038252?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -39400710 divided by -7880142?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**4 + 1460*l**3 - 142080*l**2 + 4608000*l.\nAnswer: -5*l*(l - 100)*(l - 96)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 27*w - 1001, 275*u - w = 284*u - 55 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 710, 13027, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -16094.88 to the nearest 1000.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29\/(-87))\/((-3)\/9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*p - 18*p - 455 = 0. Sort 18, -5, p in ascending order.\nAnswer: -5, p, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2579.045 + -2587. Let x = 0.045 - u. Let w = -1 + 1. Which is greater: x or w?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 (base 10) in base 6?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, 17, -131\/336, 0.06, 3\/2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - sqrt(187)\/(sqrt(176) + sqrt(11)))*1.\nAnswer: 4*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by -338\nAnswer: 11\/338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(432) - (sqrt(432) + -3 + 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111101 + 111110110101111?\nAnswer: 111110100110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 469172 is divided by 32?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 7 + 2*b**3)*(2 - b + 3*b - 5*b) in the form m*b + u*b**2 + r*b**4 + v + j*b**3 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of -i**8\/48 - 59*i**7\/30 - i**5\/60 + i**4\/24 - 745*i**3\/3 - 3*i**2 - 3*i - 9. What is the second derivative of d(x) wrt x?\nAnswer: -140*x**3 - 4956*x**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.18 + -92.82. Let y = -98 - s. Sort 2, -12\/5, y, 3 in increasing order.\nAnswer: y, -12\/5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 5*i - 3*q - 25, 2*q = 0. Sort -5, i, -4 in increasing order.\nAnswer: -5, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of -1027*f**6\/30 - 733*f**2 + 1161*f + 2. What is the derivative of v(m) wrt m?\nAnswer: -4108*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1790911403?\nAnswer: 157, 11407079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4291849*f + 9 + 4291847*f - 12875554*f + 4291854*f.\nAnswer: -4*f + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-5 + 54\/12). Let h(u) = 4*u**2 - 18*u**2 - u**2 - 32*u**o. Let m(y) = 2*y**2. What is h(m(t))?\nAnswer: -188*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 34, 65, 122, 211, 338?\n\"Answer: k**3 + 7*k**2 + 3*k + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 4) to base 16.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -164910 divided by -54970.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000836 rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 787*a**2 + 417*a**2 + 115*a**2 + (a - 3*a + 4*a)*(3*a - 5*a + a) - 3*a**2 + a**2 + 0*a**2.\nAnswer: 1315*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)\/(sqrt(4) - (sqrt(12)\/sqrt(3) - sqrt(4))) + sqrt(176)*1)\/(4*sqrt(108)\/sqrt(3)).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -3*h + 11, 4*h - 159*c = -157*c + 16. Suppose 5*n + 0*n = 85. Solve h*m - 3*r - 1 = 0, -m - 3 + n = 4*r for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (59 - 126 + 62)*(-1 - 1 + 0)*(-5 + 0 + 0)*(-4 + 0 + 10)*(-3*c - 4*c + 5*c) to r + h*c and give h.\nAnswer: 600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, n: 8, z: 2}. What is prob of picking 2 u and 1 z?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(98)*3 + 1 - sqrt(98)) - (1 + sqrt(98) + sqrt(98) + 2 + (sqrt(98) - (2 + sqrt(98))*5)).\nAnswer: -70*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 + 0. Let f = 41\/503 - -342841\/2515. Let q = f - 4769\/35. Which is the closest to p? (a) q (b) 27\/8 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -h - 27. Calculate the highest common divisor of h and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/(-4)*(-5)\/25*4. Suppose 0 = 5*m, -4*n + 3*n = -i*m. Suppose 5*s + 8 = 3*s. Sort n, -2\/3, s in descending order.\nAnswer: n, -2\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 5*f**2 - 5*f + 2. Let k(c) = 1. Let x(g) = 4*k(g) - u(g). Let m(w) = 6*w**2 - 6*w - 3. Let b = 10 + -14. Calculate b*m(i) - 5*x(i).\nAnswer: i**2 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 247 + -2146?\nAnswer: -1677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1296272 is divided by 115.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 741 = 5*o, 3*l - 16 = -l. Suppose t - 5 = -5*k + 37, t = k + 36. Calculate the remainder when o is divided by t.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.43 - 319774362.\nAnswer: -319774361.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*p**4 + 88*p**2 + p**3 - 3 - 31*p**2 - 2*p - 60*p**2 to o*p + x + t*p**3 + q*p**2 + l*p**4 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 10*b**2 + 3*b - 12. What is the least common multiple of 12 and i(10)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*c - 18 = 0. Suppose -3*d = -6*d + 2*t + 9, -2*d + 5*t + 6 = 0. What is the highest common factor of d and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**2*c**3*w**3 - 3*a**2*w**3 - 35*a**2*w - 2*a*c**3*w**2 + 4*a*c**3*w - 7*a*c**2*w**3 wrt a.\nAnswer: -2*c**3*w**3 - 6*w**3 - 70*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(-187)\/(-102)*42\/(-14)*1\/(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12437964 and 18091584.\nAnswer: 199007424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-4) - (7\/(-1) - (-13)\/2). Factor 0 + u*g + 4\/19*g**2 + 6\/19*g**3 + 2\/19*g**4.\nAnswer: 2*g**2*(g + 1)*(g + 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16545.7 - 16550.7. Let p = 2.06 - 0.06. Let v = -2 + p. Put v, -0.4, 23, d in decreasing order.\nAnswer: 23, v, -0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -12, 87, 300, 621, 1044?\n\"Answer: -r**3 + 63*r**2 - 83*r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*q**3*s**2 - 1736*q**3*s - 19372*q**2*s - 100199033*s**2 wrt s?\nAnswer: 4*q**3 - 200398066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5101*j + 5751 = 4474*j - 8670 for j.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -136 + 135. Calculate the lowest common multiple of 1*(-2 - (-44)\/2) and (-1 - (-1 + 0)) + (-14)\/s.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2979?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r + 1. Let k(d) = d - 1. Let p(z) = 6*j(z) + 5*k(z). Let v be p(1). Let m(s) = s + 2 - 1 + v*s. Let l(b) = 6*b + 3. Calculate -l(o) + 5*m(o).\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 66 = v + q, 3*v - 4*q = -220. Let c = 46 + v. Let l = c + 59. What are the prime factors of l?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(38\/1)*-2\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 + 1a9?\nAnswer: 1a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*i = -37*i + 3*m + 26, -5*i + 185 = -4*m. Calculate the remainder when 390 is divided by i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3105 divided by 621?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/11, 6\/11, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 3:00 PM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 39884206657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 33, 28, 5, -42, -119, -232, -387?\nAnswer: -590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g - 5. Calculate y(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3140 and 10990.\nAnswer: 21980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - z + 216, 5*t + 2*z = 259 + 11. Suppose -t = 2*d - d. Let p be 8\/d*3\/1. Which is the nearest to -0.1? (a) 0.1 (b) -3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 9:32 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -781701*j**3 + 2*j**2 - 5*j + 4. Let u be q(1). Round u to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 1:22 PM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 2*i + 8. Let j(g) = 10*g**2 - 3*g + 208. Let s(a) = -2*j(a) + 22*l(a). Let s(z) = 0. What is z?\nAnswer: -5, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210 (base 11) in base 14?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 10:16 AM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*g - 104 = -4*t + 100*g, -5*g + 33 = t for t.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*m**5 - 568*m**3 - 24146*m**2 - 98957*m - 8?\nAnswer: -100*m**3 - 3408*m - 48292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2850289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + (14 + 15 - 6) + 7.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 6*m - 6. Calculate t(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 173 in 2, 3, -2\/5, 4\/11, 3\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.5 (b) 3 (c) 0.009517\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 50889721?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3\/2))**(-1\/12)*(p**(8\/5))**(1\/6) assuming p is positive.\nAnswer: p**(47\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 2:39 AM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 152 - 147. Which is the third biggest value? (a) -3\/5 (b) 1.08 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 10*s**2 + 7*s + 14. Calculate p(8).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j + 109. Suppose -o + 4*y - 41 = 0, 3*y - 14 = 5*o + 140. What is the smallest common multiple of r(o) and 196?\nAnswer: 2156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43 + (49 - 166) - -50\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-4) + -7)*(-90)\/(-75).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -3) + (7 - 5) + -8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5317 + -5315. Let m(k) be the second derivative of -1\/20*k**5 - 2*k**n - 1\/4*k**4 - 19*k + 0 - 1\/2*k**3. What is m(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -4*h + 10. Let m(x) = -1. Let p be (2\/3)\/(12\/(-18)). Let y be (7\/21)\/(p\/(-30)). What is y*m(l) + a(l)?\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*g + 1006 - 1199 + 1165 + 372 = 0 for g.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*u**2 - 5*u**2 + 180*u**3 - 180*u**3 + 15*u**4 wrt u?\nAnswer: 360*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 621561?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6834?\nAnswer: 2, 3, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -114 + 116. Suppose -5*t = -v - 18, t + 5 = -2*v + a. What is the remainder when (-1)\/(3 - 39\/12) is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -427, -11, 403, 815, 1225, 1633, 2039?\nAnswer: 2443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 2*o**2 + 5*o - 6. Let z be w(2). Suppose -2 - z = -6*d. Is -2\/31 less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 14. Are n and -0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence th when two letters picked without replacement from hahtthhhtth?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 2*d + 2. Let q be g(-1). Let a(p) = -p**2 + p - 1. Let t(h) = h**2 + 6*h - 2. Let l(u) = q*t(u) - 3*a(u). What is the units digit of l(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 10, x: 4}. What is prob of sequence xn?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 75 - (-4 - (-2 + -3)). Suppose -4*k + v + 92 = 3*d, 2*k = -2*d + 108. Let c = -22 + d. What is the lowest common multiple of c and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4700 and 3961400?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2d992 + 4?\nAnswer: -2d98c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1228 + 569 - 514*n + 660 + 72*n.\nAnswer: -442*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 7 - (2 + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*z + 277 = -6*z + 709 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/5, 0.3, 3, 9\/4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - c = 13, 2*y - 2 = -c - 0. Suppose -z + y*z - 194 = o, o + 289 = 3*z. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7ad (base 15) to base 4\nAnswer: 123022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1\/3 + (7 - 78\/(-9)) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/(-15)*-35 - -5. Is 17 not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (((-16289)\/14)\/13)\/(2\/(-52)). What is the highest common factor of i and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118441 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 4*p, 2*n = 5*n - 3*p. Suppose 0*i + 0*i**2 + n + 1\/2*i**4 - 1\/2*i**3 = 0. What is i?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b**2 + 24*b - 17. What is the remainder when p(10) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.02 (b) 2\/3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -93 bigger than -45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 542\/7 - 78. Which is the closest to 2? (a) 5 (b) 3 (c) -3\/7 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 72.37072 + -0.013.\nAnswer: 72.35772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 150404840 and 10?\nAnswer: 150404840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*z + 11*z = 4*x - 8, 3*z = 5*x + 12 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1002 (base 3) to base 6\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -31810, -31809, -31808, -31807?\n\"Answer: v - 31811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 13) to base 8\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 326?\nAnswer: 1304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4 - 30*w**3 + 207*w**2 + 4576*w.\nAnswer: -w*(w - 13)*(w + 11)*(w + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/30 and 17\/11.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 14467?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -337 + 852*p**2 + 704 - 370 to the form m*p + z*p**2 + c and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-72)\/28)\/((-3)\/21). Suppose v + 4*s = -16, 8*v - 5*s - 20 = 3*v. Suppose -8*a - 28*a + 70 = -71*a. Sort a, -1, x, v in ascending order.\nAnswer: a, -1, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 30 = 0, 5*h - 5*j - 186 + 181 = 0. Let b(v) = v**2 - 12*v + 41. Determine b(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -t - 15*t. Let o(f) be the second derivative of -1\/6*f**t - 1\/36*f**4 + 0 - 1\/3*f**2 + f. Factor o(m).\nAnswer: -(m + 1)*(m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18 - 506*q + 267*q + 2*q**3 + 3 + 241*q - q**2 to n + d*q**2 + o*q + l*q**3 and give n.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 189444651 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.78 + 0.3. Let o = l - -0.75. Let d = o + 3.33. What is d rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 1\/266?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1158, -1159, -1160, -1161, -1162, -1163?\n\"Answer: -f - 1157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 37 = 2*l, f + 17 = 202*l - 204*l for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1838259 is divided by 2807.\nAnswer: 2481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 895712*y*z + y - 17635 wrt z.\nAnswer: 895712*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (80\/(6 - 1))\/(4\/2) and (6\/8)\/(2\/48)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -k + 25800. Let d = 128943\/20 - k. Calculate the common denominator of d and -29\/22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10*((-4)\/(-5))\/2 + -2. Suppose -125*h**3 - 43*h - 29*h + 55*h**3 + 421*h**3 + 21*h**5 - 138*h**g - 162*h**4 = 0. What is h?\nAnswer: -2\/7, 0, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**2*m*m)**(-40)\/((m**(12\/13)*m)\/m**(-20)) assuming m is positive.\nAnswer: m**(-2885\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4397952305 to the nearest integer?\nAnswer: 66317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 533 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 4\/33)*(-3)\/(-2)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -18\/115 and 62\/15.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 + 4*l + l**3 - 4*l)*(5 + 5 - 12 - 39*l).\nAnswer: -39*l**4 - 80*l**3 - 4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 + 7*t - 8. Let c be f(-8). Suppose 49 = 4*w + 5*b, c = -3*w - 0*w - 4*b + 38. Calculate the smallest common multiple of 11 and w.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189452 = -39*f + 42*f - 5*p, 189436 = 3*f - p. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 9*m**2 + 8*m + 6. Let d be q(8). Suppose d = l - 6. Let a = 13 + l. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -294 - -394. Suppose -i*s + 3042 = -94*s. What is the hundreds digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 11 (c) -1.1 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 225 and -1510032875292?\nAnswer: 1510032875517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w. Let v(u) = 57*u**2 + u + 20. Give d(v(i)).\nAnswer: -114*i**2 - 2*i - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 a when two letters picked without replacement from {a: 1, y: 1, g: 2, i: 1, v: 1, d: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84 + 2*c + 3413*c**3 + 84 - 3496*c**3.\nAnswer: -83*c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 11, -1, -4, 2 in decreasing order.\nAnswer: 11, 5, 2, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 340 a factor of 383973263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 61 - t - 61. Suppose -15 = -11*d - 46 - 24. Let w(p) = -11*p + 1. Calculate d*c(r) + w(r).\nAnswer: -6*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -20 - 11 + 6*d + 25 + 65. Calculate the remainder when f(8) is divided by 21.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000129208 to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -2, 0, 1, 2 in increasing order.\nAnswer: -2, 0, 1, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**2 + 0*d**2 - d**2)*(-3 + 3 - 2*d) - d**3 + 3*d**3 - 3*d**3 + 0*d**3 + 5*d**3 - 3*d**3 + (-2*d - 34*d - 12*d)*(2139*d**2 - 2 - 2137*d**2 - 4).\nAnswer: -99*d**3 + 288*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, 23, 17, 13, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 7*n**2 + n + 4. Let k be p(6). Let v = k - -28. What is the remainder when 7 is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 - 1 - (-446 + 464).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n - 249 + 229 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 39 = 6. Let m = 20 - k. Suppose 0*q + 38 = q - t, 3*q - m*t - 112 = 0. Calculate the remainder when q is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.37172 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -6974?\nAnswer: -6973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 66 = -5*u - d, -2*u = 5*d - 30. Calculate the highest common factor of u and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 6:14 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7)\/2*(90\/(-35) - -2). Solve -4*g - p = -22 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 + 12 + -10 + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j**3 + j**3 - 2*j**3)*(2*j**2 + 2*j**2 - 3*j**2) + (-3*j**4 + 5*j**4 + j**4)*(3*j - j + 0*j).\nAnswer: 10*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*z - 37*z + 8949 = 0. Let w = z + -2127. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - 1169 + 2339 - 993)*(-2*h**4 + 4*h**4 + 0*h**4).\nAnswer: -4*h**5 + 354*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 37*z - 106. Determine u(13).\nAnswer: 375","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3347 is divided by 1673.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -42*o + 86*o - 41*o. Let l(h) = -4*h**2. Give l(i(m)).\nAnswer: -36*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 - -28 - (-13 + 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 17*s. Determine y(19).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 4) in base 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 76 = 5*f, 10*f = 2*o + 8*f - 38. Solve y + 2*y = -4*z - o, -z + y = 3 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from bssssssssbsbbb.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 885 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 104 + -99. Solve -4*x + 17 = v, -r*v = -0*x + 4*x - 5 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 20*o**2. Let c = -626 - -600. Let g(r) = -5*r**2. Give c*g(s) - 6*w(s).\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41.0324 + -0.0324. Which is the nearest to v? (a) -1 (b) 0.1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-68))\/(2526\/50099)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 312, 1 in ascending order.\nAnswer: -5, -1, 1, 312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**2. Suppose 5*c - 2*z - 60 = -5*z, 3*c - 2*z = 36. Let u(j) = -19*j - c*j - 2*j. What is n(u(q))?\nAnswer: 2178*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**1*h*h)**5\/(h*h**(-1\/3))**(2\/43)*((h**(-7)\/h)\/h*h*h)\/h**(-2\/3)*((h\/h**(-1)*h)\/h)**(-40) assuming h is positive.\nAnswer: h**(-8561\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from obobbooboooob. Give prob of picking 3 o.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 649106.2 to the nearest ten thousand.\nAnswer: 650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 81512837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11832 + -6152. Suppose 11360 = 2*o + 3*l - l, -o + 4*l = -n. Round o to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -1\/3 (c) 10\/43 (d) -5\/829 (e) -0.5 (f) -3 (g) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 1361232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 234\/72*(-6)\/(-39)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -226 divided by 113.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 4:42 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 895581.6 years in centuries?\nAnswer: 8955.816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 493571771 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -3*x - 4*c - 4, -5*c + 19 = -x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fifteen quarters of a day?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3532, -3529, -3524, -3517, -3508, -3497?\n\"Answer: w**2 - 3533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -2*w + 5. Suppose 3*g - 4 + w = 0. Factor 2*v**3 + 2*v**2 - 2*v**4 - 2*v - g + 0*v + 1.\nAnswer: -2*v*(v - 1)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 26025 = -29*s. What is the first derivative of -936 + 2121 - s - 112*h wrt h?\nAnswer: -112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 281801 (base 11) to base 8\nAnswer: 1536272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-42)\/36 + 1)*204\/(-561).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 4*n - 13. Let f(l) = 6*l + 27. Let h(t) = -t - 5. Let s(z) = -2*f(z) - 11*h(z). What is -6*s(q) - w(q)?\nAnswer: 2*q + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 60073 - -7.\nAnswer: 60080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 19*z**2 - 25*z - 25. Let c be x(-1). What is the greatest common factor of c and 1273?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 1. Let u(y) = y**2 + 11*y - 270. Let q be u(-23). Suppose -4*t + 9 = -3*c + 4*c, 0 = -t. Solve -n = -2*v + q*v + 7, c = -d*v for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 24*s = 125 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64058 is divided by 943?\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence txx when three letters picked without replacement from {x: 8, t: 5}?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 4*f**5 + 38*f**4 - 68*f**3 - 16*f**2 + 64*f - 22 = 0?\nAnswer: -11, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47191 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllhllhlllh. What is prob of picking 3 l?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 4*b = 0. Let g be ((-6)\/(-9) - b)*6. Let p(h) = g*h**2 + 11*h - 1 - 7*h - 2*h**2. Let c(y) = 2*y**2 + 3*y - 1. Determine -3*c(s) + 2*p(s).\nAnswer: -2*s**2 - s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27676 is divided by 27676?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -715610000 rounded to the nearest one million?\nAnswer: -716000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, -2, -1\/24, -1\/5, 3?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.64 plus -0.5?\nAnswer: -4.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -109 + 109. Let d(h) be the second derivative of h**4\/12 - h**3\/6 + 13*h. Determine d(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2395*d**2 - 2829 - 4525*d**2 - 3768*d**2 + 2810.\nAnswer: -5898*d**2 - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -42, -34, -26, -18, -10, -2?\n\"Answer: 8*l - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80 and 1294940.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -242 - -409. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 9*t**2 + 5. Suppose 10 + 40 = 5*z + 5*h, 5*h - 14 = -z. Suppose 69*u + 196 = 104 + 851. What is the remainder when u is divided by g(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 PM and 6:07 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10721396 to the power of 1\/4, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 5\/74 (b) 21 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -w**6\/120 + w**4\/8 - w**3\/2 + w**2 - 29. Let n(x) be the second derivative of d(x). List the prime factors of n(-3).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(2\/17)*q)\/((q*q\/(q\/(q*q**(-3))*q))\/q))**(-4\/19))**(1\/28) assuming q is positive.\nAnswer: q**(-10\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 17369\/12 or 1447?\nAnswer: 17369\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -c05 (base 13) in base 10?\nAnswer: -2033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 100 = -29864*y + 29866*y, 4*y = 5*w - 12 - 191 for y.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8955 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = l - 3*l. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 33004 = -4*i, 3*u = 2*i - 9947 - 6525. What are the prime factors of i?\nAnswer: 5, 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -824 (b) -0.3 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 3*h + 18, 4*h = 46*l - 47*l - 24. Put 668, l, -3 in descending order.\nAnswer: 668, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 98*m**3 - 85*m?\nAnswer: 588*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 4*z**2 + 6*z - 2. Let n be w(4). Suppose m - 124 = 5*r, -5*m + 599 = -r - 45. What is the greatest common factor of m and n?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 77017 or 76985?\nAnswer: 77017","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 157, 217, 327, 511, 793, 1197, 1747?\n\"Answer: 4*b**3 + b**2 + 29*b + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 83 = -n, 0 = -5*b - n - 30 + 145. Suppose -8*k - 45 = -181. Suppose -53 = -3*c - k. What is the remainder when b is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -7*b**2 + 58*b - 239. Let s(r) = -6*r**2 + 57*r - 240. Let a(c) = 3*p(c) - 4*s(c). Factor a(w).\nAnswer: 3*(w - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q**2 - q**2 - 10 + 4 + 23*q - 20*q to the form c*q + g*q**2 + f and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*v - 0. Suppose -3*t - t = -4*a - 20, v*t - a = 9. What is the nearest to t in -3\/2, 1\/6, 5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (333\/(-54) + 7)*6\/4.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + z = -15. Suppose 25 = p + 4*c - 48, -3*c = z*p - 201. Does 18 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*n + 3*n + n**2)*(-25*n**2 - 19*n**2 - 7*n**2) + 1 - 1 + n**4 - n + 2*n**4 + n to the form b*n**4 + a*n + i*n**2 + u*n**3 + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (49 - 60) + (-15 - 0) + 10\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 x when two letters picked without replacement from xxjwxxjcx?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 9 + 19. Let s = -679 + 700. What is the greatest common divisor of z and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.043675, -1, 7, 214, 0.1?\nAnswer: 0.043675","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -550ca1 (base 13) to base 5.\nAnswer: -1003021204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = -7*t - 84. Let z(m) = m**3 - m + 1. Let i(w) = -4*w**3 - 6*w + 6. Calculate t*z(b) + i(b).\nAnswer: -10*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 56 = -v, 2*y + 4*v - 55 = -y. Let b = y + 12. Solve 4*x = -x - b for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23446 is divided by 23413.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 191 - 29. Suppose 3*x = 5*a - h, -a - a + 28 = 2*x. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = 5*k + 4*j - 57, -3*k - 3*j + 15 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -6457*v**5\/60 + 2311*v**3\/2 - 3494*v**2. Find the first derivative of d(l) wrt l.\nAnswer: -12914*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/275638 and 127\/10318.\nAnswer: 1929466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-180)\/(-144)*84\/15\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 44499570 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -50272 - 23?\nAnswer: -50315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w**3 - 2*w**2 + 5*w + 4. Let c be 4*-1 + -1 + 2. Let o be b(c). Solve 5*l - o = 5*n, 5*n + 5*l = 3*l - 18 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7050*v + 146*v**3 + 7048*v - 2*v**3 as k*v + r + u*v**3 + w*v**2 and give u.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 987 and 1551.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 7. Suppose 0 = 7*h - u*h + 144. Let g = h + 41. Is -9 bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8671101*d**3 + 10044580*d wrt d.\nAnswer: -52026606*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.181 - -0.181. What is the nearest to -0.1 in -1\/5, -18\/7, g?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.42 + 0.52. Sort 6, s, -0.1 in descending order.\nAnswer: 6, s, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.15 - -3.85. Suppose -12331*s = -12346*s + 210. Which is the closest to 0.1? (a) h (b) s (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -11 - ((1 - (-22 + 9)) + -12).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*r - 89 - 55 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*i - 18*i - 37*i = 23*i - 2889 for i.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**2 + 1636*y + 68640 = 0.\nAnswer: -40, 858","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 135 times 2415\nAnswer: 326025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -222.15 - -220.9. Round j to one dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of v**4\/24 - 28*v**3 - v**2 - 2*v + 352. Let s(y) = y**2. Give s(u(d)).\nAnswer: d**2 - 336*d + 28224","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*j - 313*j - 5016 = 0 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 33986 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((51\/(-17))\/((-15)\/(-5)))\/(5\/(-100)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-8)*o\/((o\/((((o\/o**22)\/o*o)\/o)\/o*o))\/o))\/(o**19*o**(5\/9)\/o) assuming o is positive.\nAnswer: o**(-275\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 320946?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 118, 115, 112, 109, 106?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 433154 is divided by 375?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 39, 90, 167, 276?\nAnswer: 423","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 hhzzhzhhzzhz.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*v + 647*t = 643*t - 512, 0*v = 2*v - 4*t - 28 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2*t = 1. Let f = t - 27. Let d = 63 + f. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 0*k = 2*k - 5, 5*k = 4*r + 17. Let o be 14\/((-2 - r)*-2). Let d be o\/(224\/(-60)) + -2. Which is the third biggest value? (a) 3 (b) 1\/6 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d**3 - d**4 + 2 - 20*d**2 + 0*d**3 + 22*d**2 as n + k*d + h*d**4 + r*d**3 + m*d**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -67 + -343570?\nAnswer: -343647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37592*v**3 - 6*v - 13989.\nAnswer: -225552*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 16753?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/5)*t)**19 assuming t is positive.\nAnswer: t**(152\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 1994.\nAnswer: 9970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r**2. Let l(q) be the first derivative of q**2 + 20. Give s(l(t)).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 67\/5 of a tonne in kilograms?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + n - 88 = -31, 3*n + 61 = q. Solve 58 = q*a - 232 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -3*v + 14170, -4*v + 6*v - 9448 = -2*m. What is the hundreds digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9758758907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a - 3. Let x be u(7). What is the second derivative of -4*z**4 + z**4 - 3*z**4 + x*z wrt z?\nAnswer: -72*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**3 + 0*z**2 + 2*z**2 + 3*z**2 - 2*z**3.\nAnswer: -4*z**3 + 5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**3 - l**2 - l. Let h(u) = 5*u**3 + 3*u**2 + 2*u. Suppose 3*q + 12 = -q. Let m be (-63)\/6*2\/q. What is m*d(t) + 3*h(t)?\nAnswer: t**3 + 2*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -46658051, -93316088, -139974125, -186632162, -233290199?\n\"Answer: -46658037*u - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16769)\/(-409)*(-7)\/(-1)*18\/(-126)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1172410.74894 - 69?\nAnswer: 1172341.74894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-582)\/(-3395))\/(4\/(-14))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 16.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m\/(m*m*m*m*m**(-3)))\/m))\/m**(-23))\/(m**9\/m)**(-11) assuming m is positive.\nAnswer: m**113","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 2*p = -6. Let o(r) = 2 - 2 + 2 + 4*r**2 + 2*r + r**p + 1. Calculate o(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6 - (-3 + -31)) + -1. Let t(w) = -4*w + 168. Let k be t(y). Let r be -2 + (-1)\/(-1) - -21. What is the highest common divisor of k and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q + 14896 - 14776 = 0 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 46\/(-14) + (-2)\/(-7). Suppose 18*f - 12 = 14*f, 15 = -3*b + 4*f. Sort i, b, -2 in ascending order.\nAnswer: i, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -864 + 859. Put i, 1, 0.5, 4 in descending order.\nAnswer: 4, 1, 0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4 - 0.4. Let q = 0.3 - 0.5. Sort q, w, 3 in ascending order.\nAnswer: q, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59 = 11*d + 15 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-5\/4)*k*k*k\/k**4*k assuming k is positive.\nAnswer: k**(-5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1178854*j**3*v - 632165*j**3 + j**2 wrt v.\nAnswer: 1178854*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 4*k + 2 = 0, -3*k - 3 = 3. Find the second derivative of 133*g - g**3 - 277*g**5 + 340*g**b + g**3 wrt g.\nAnswer: 1260*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/15)\/p**(1\/3)*(p\/(p*(p*p*p**(2\/7)*p)\/p))**(1\/3))\/((p**(-1))**27)**(-24) assuming p is positive.\nAnswer: p**(-68141\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 29. Let x(a) = -5583890*a**2. Calculate o(x(b)).\nAnswer: -31179827532100*b**4 + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -31 (b) 1\/2 (c) -1\/5 (d) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/750 and -31\/4.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*a**2 + 1306*a - 1350 = 0. Calculate a.\nAnswer: -675\/22, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3313233 (base 4) in base 3?\nAnswer: 210202020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -53*c**3*p**2 - 2*c**3*p*y - 26*c**3*y**3 + c**3*y**2 + 2*c*p**2 - c*p*y**3 - p**2*y**3 wrt p?\nAnswer: -106*c**3 + 4*c - 2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -r - 22, 2*f + r - 12 = 2*r. Suppose -f = 3*b - 8. Sort -5, b, -0.11.\nAnswer: -5, -0.11, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 - -13.62. Let n = -0.48 - j. Sort n, -0.3, -1\/2 in ascending order.\nAnswer: -1\/2, -0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of 7*g**6\/360 - g**4\/6 + 13*g**3\/3 - 7*g**2. Let b(x) be the first derivative of o(x). What is the derivative of b(y) wrt y?\nAnswer: 14*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 4*g**2 + 38*g + 117. What is the tens digit of b(33)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 22*n**2 - 20228*n + 89669. Give v(915).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8413*x**4 + 31*x**2 + 862*x.\nAnswer: 201912*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50230*y = 50178*y + 676 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h**3 - 4*h**2 + 6*h - 3. List the prime factors of m(6).\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 200, 463, 806, 1247, 1804, 2495, 3338?\nAnswer: 4351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*3*(2*sqrt(1300))**2*-2.\nAnswer: 93600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 240 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 6*m**2 - 17*m + 14. Let w(k) = -4*k**2 + 11*k - 9. Give -5*c(u) - 8*w(u).\nAnswer: 2*u**2 - 3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -104*j*l**2*m**2 - 293766*j*l*m - 2*l**2*m**2 - 9211*l**2 + l*m + 103*m**2 + 13*m - 2 wrt j.\nAnswer: -104*l**2*m**2 - 293766*l*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 329 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h + 1. Let y(v) be the third derivative of -v**4\/4 - 2*v**3\/3 + 51*v**2. Calculate -7*n(o) - 2*y(o).\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 10*y**2 - 20*y - 7. Suppose -1278 - 132 = -47*d. What is the remainder when u(12) is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*4698\/(-216)*8\/6*1?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/40 and -117\/7120.\nAnswer: 7120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -4, 2, -0.5, 12.\nAnswer: -4, -0.5, 3\/2, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 484.6549 decades to millennia.\nAnswer: 4.846549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 21\/((-504)\/(-570)) + (-45)\/(-20). Let a be (-355)\/(-15) - (-1)\/3. Solve 0 = a*q - j*q - 10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 591 and 372542760?\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 4*a - 32, -4*b - 32*a + 36*a = 0. Let q(v) = -v**2 - 5*v + 30. Let f be q(-9). Put -3, b, f in ascending order.\nAnswer: f, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/4)*j)**(-26\/7)*(j\/(j\/(j*j*j**(1\/14)*j))*j)\/((j*j**(1\/5))\/j))**(-3\/4) assuming j is positive.\nAnswer: j**(-57\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 41*d**3 + 4*d**2 + 9*d + 11. Let z be x(-2). Let t = z + 321. Solve t*h + 69 = 61 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 12 = -5*c + 2*s, -484*c - 6*s = -479*c + s - 36 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -250*g + 1977. Give y(-10).\nAnswer: 4477","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -4, 0.04, -0.314, -6, -2\/7 in increasing order.\nAnswer: -6, -4, -0.314, -2\/7, 0.04, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 260 (b) -4 (c) -341 (d) -2.1 (e) 4 (f) -0.03 (g) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 749 and 647.\nAnswer: 484603","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4017 * -9\nAnswer: 36153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 5 - 1. Let y be b\/14 + (-280)\/(-49). What are the prime factors of ((-34)\/3)\/((-4)\/y)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + 5 + 2 + (-1 - 2). Find the third derivative of -7298*c**3 - 2*c - 32*c**f + 14*c**4 + 7298*c**3 wrt c.\nAnswer: 336*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 13) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221011121 + -12?\nAnswer: -221011210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3256899 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 9*o + 216. Let x be y(-25). Let n be 5 + x + 7 + -3. Solve n = -5*d + 5*i - 6*i + 11, 2*i = 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 4 = -f, 22 = -4*i + 5*f + 2. Suppose -10*l + 95 + 555 = i. Suppose -l = -4*p - p + 4*d, 2*p - 2*d - 24 = 0. Is p > 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 2203.161 seconds?\nAnswer: 2203161000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 126764 + -55345. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 8*s**2 + 8*s + 10. Let a be r(7). Suppose 3*j + 5*z = -a, z + 0*z = 3*j - 7. What is the least common multiple of j and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - 1896.319.\nAnswer: -1896.119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 - 2*c**3 + 4*c**2 - 16*c + 8 + 12 - 36 to f*c**2 + w + j*c**3 + r*c and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 645 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 8*b**2 + 216*b + 83. Give t(-26).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (22\/6 - 6\/9) + 5 and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*n - 36*n = -1000. Suppose 11*l = n - 57. Solve -l - 3 = -4*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40651 - 40573. What is the greatest common divisor of 3107 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6725 and 120781.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 11) in base 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vx when two letters picked without replacement from {e: 1, g: 3, x: 2, n: 4, v: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 490 and 56.\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 3 (c) 774\/7 (d) -4 (e) 4 (f) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -6\/11, -5, -4, -202?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(1 + 4 + -2). Let z = 0.014 - 1.014. What is the second biggest value in 0.5, n, z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 403*p - 42975410 = 39151557. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*(d\/(d\/d**7*d))\/d)**(4\/3))**36)**(1\/30) assuming d is positive.\nAnswer: d**(48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (28\/8 - 3) + 21\/(-30). Which is the closest to 1? (a) k (b) 0.3 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**2 - 25*l - 15. Let n be t(-12). Let o be 3\/(-4 + 1)*-2 + n. Let c(r) = r - 1. What is c(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 4*g = 3992, 1109 + 893 = 2*r - 4*g. Let s = 193 + r. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8380 + 8379.994959. What is j rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-36) - (0 + (-23343)\/(-18)). Round b to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38500 and 339248.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**5\/7 - 6254*p**4\/7 + 31302*p**3\/7 - 56362*p**2\/7 + 43844*p\/7 - 12528\/7 = 0 for p.\nAnswer: -3132, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -6*(-1 + (-1 + sqrt(1700) + -3 - (0 + sqrt(1700))*6)*5)**2.\nAnswer: -6377641 - 63000*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -188\/103 or 0.1276?\nAnswer: 0.1276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.4 - 3. Let d = -18.2 + 14.2. Which is greater: d or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/sqrt(5) + 4)*1.\nAnswer: sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -231013 (base 6) in base 4?\nAnswer: -10303101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14 + -6?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(684)\/(sqrt(12) + sqrt(48)))\/sqrt(3))**2.\nAnswer: 19\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(-6\/23)\/r*r**(-4\/9) assuming r is positive.\nAnswer: r**(-146\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 10:08 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -66 - -9eb?\nAnswer: 985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -2, -2\/9, 6\/125, 1\/3, 5 in decreasing order.\nAnswer: 8, 5, 1\/3, 6\/125, -2\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13611 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 6:13 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 355964340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3456*c**3\/7 + 1572768*c**2\/7 - 131046*c\/7 + 390 = 0. What is c?\nAnswer: 1\/24, 455","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 4*x**2 + 2*x + 4. Let d be v(4). Suppose d = 3*k - 0. Solve 4*a + 18 = -3*f, k*a + 4 = 6*f - 2*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2888551 and 1?\nAnswer: 2888551","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 490334 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -33 + 4?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43.99999908 - 44. What is f rounded to 7 dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**5 + 270*d**4 - 855*d**3.\nAnswer: 5*d**3*(d - 3)*(d + 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/10*(-315)\/224?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, t: 2, d: 1, f: 1, b: 7}. Give prob of sequence nn.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 7*z + 49. Let g be x(-7). Suppose 4*k = 12 - g, -c + 3*k = 31. Let o = 51 + c. What are the prime factors of o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 150888.\nAnswer: 150888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/3 + 151*i\/3 + 152\/3.\nAnswer: -(i - 152)*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) 0.0551 (c) -186\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 1. Suppose j = 4*h - 16, -l*h + 4 = -3*j - 17. Let d(u) = u**2 - 3*u + 3. Let i(z) = 2*z**2 - 7*z + 7. Calculate h*i(s) - 7*d(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -153 - 195?\nAnswer: -338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.53340565 to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4527*q + 117756 + 349267 = 5004*q - 657635 for q.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21392\/19 - 1126. Is -1\/11 less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 8*j = -4 + 11, -4*q + 8*j = 4*j - 52 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -61, -53, -31, 11, 79, 179?\n\"Answer: o**3 + o**2 - 2*o - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6820529.3 and -204.\nAnswer: -6820733.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 + 17.11. Let d = g + 0.29. Let v(w) = -2*w. Let z be v(-2). Which is the smallest value? (a) z (b) d (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5*1 - (-15)\/(-5). Suppose 2*q - 12 = -f. Suppose 87 = q*l - 53. Is 11 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1865 a factor of 58292440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 43\/596 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -44 + 64. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1702379784 a multiple of 3192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 p when two letters picked without replacement from {v: 2, y: 1, p: 7}?\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -n + 17, 3*n - 2*f - 3 = -2. Which is the smallest value? (a) 0.2 (b) 6 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414323 is divided by 865.\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -37*v**2 + 12*v - 3. Let m be l(13). Round m to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2 + 0.2. Let v = 5.549995 - 5.55. Let s = v - r. Round s to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -0.0986.\nAnswer: -0.02958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 87437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.02 and -117321715067.\nAnswer: -117321715067.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - 3*b + b + (2*b - 4*b + 3*b)*(4 + 2 - 4) + 0*b + b - 2*b)*(10 - 6 + 4)*(7 + 3 - 4).\nAnswer: 144*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931)*2 + 5 - sqrt(931))**2 + sqrt(931) + sqrt(931) + -2)*4.\nAnswer: 336*sqrt(19) + 3816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56 and 257232?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -2*x - 3*c, 4*c + c = -4*x + 45. What is the smallest common multiple of 10 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 108471 to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24*p**3*s**3 - p**3 + 3*p*s**2 + 4*p - 3924*s**4 - 1067*s**2 wrt s?\nAnswer: 144*p**3 - 94176*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 55 - 67. Let s be (4\/3)\/((-2)\/g). Let c(f) = f**3 - 7*f**2 - 7*f - 8. Calculate c(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -457500 + 457504. Let l(t) = t**3 + 4*t**2 - 8*t - 3. Let h be l(-5). Solve -u = -2*i + s, -3*i - i + h = -3*s for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218*w = 211*w + 28. Solve 3*h = -5*u + 4, -5 = w*u - 3*h - 19 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -8, -20, -34, -50?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 6:55 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94, 91, 86, 79, 70?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31685 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -744*n + 615*n - 332 = 55 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*y**3 + 2*y**2 + 30341*y - 30341*y - 2*y**2.\nAnswer: -13*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5643 and 228?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 2*h + 1. Let o = 1 + h. Suppose 5*t + 4 = -5*f - 1, 4*f - 1 = t. Put -5, o, f in decreasing order.\nAnswer: o, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 168502 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*v + 20 = 28 + 40 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -19, -69, -159, -301, -507?\nAnswer: -789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 353?\nAnswer: -354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29097621?\nAnswer: 3, 7, 65981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12468690671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54 + 64 - 10*q - 308*q - 118 to i*q + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -3*p + 8. Let c be (-236)\/(-8) + ((-1)\/p)\/1. Solve 5*y - 4*s - c = 0, -5*y + 17 + 8 = -3*s for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(39) + (sqrt(39) - sqrt(351))) - (sqrt(975) - (sqrt(975) - 1*sqrt(975))))\/((-5*sqrt(60))\/sqrt(5)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 2*m - 3. Let x(l) = l**3 - 17*l**2 - l + 21. Let n be x(17). Determine o(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h + 12. Let r be 56\/(-5) + 2 - (-4)\/20. Let w be m(r). Factor 3*u - 3*u**3 - u**2 + 3*u**2 + 22*u**4 - u**2 - w*u**4 - 2.\nAnswer: (u - 2)*(u - 1)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71408?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 387 (b) -0.1 (c) 1 (d) 3 (e) -6 (f) -3\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16907 - 754*t**2 + 16907.\nAnswer: -754*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1015632 divided by 2.\nAnswer: 507816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - q = 3, -2*z + 9 - 21 = 4*q. Do z and -2\/57 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 144, 305, 498, 729, 1004, 1329, 1710?\n\"Answer: g**3 + 10*g**2 + 124*g + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*y**3 - 36090*y**2 + 13017660*y + 5212840.\nAnswer: 5*(y - 722)**2*(5*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8 - -0.04.\nAnswer: -0.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -d + 20. Let j(g) = 2*g - 1. Let x(l) = l. Let u = -47 - -48. Let q(o) = d*x(o) + u*j(o). Differentiate q(b) with respect to b.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n - 4. Let p be f(-6). Suppose 5*i - j - p = i, 3 = -5*i - 2*j. Let s = -6\/11 - -1\/22. Which is the second smallest value? (a) s (b) i (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k. Let o(a) = -2*a**2 + 5*a + 5. Let x be o(5). Let p be 8\/x + 12\/5. Let z(h) = 4 + p*h**2 - 4. Determine z(f(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.119463 rounded to 2 dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 2*j + 8 = 0. Let s = -1\/15 - -2\/5. What is the second smallest value in s, j, -0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than -1718?\nAnswer: -1718.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - 1 - 2\/(-4). Let u = 3 - 2. Which is smaller: i or u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2115\/413081 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -501823 (base 11) to base 2.\nAnswer: -11000101001010011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 410 is divided by 230?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t - 19. Let f(y) = 1. Let q(l) = -c(l) - f(l). Let z be q(13). Solve z*x = 2*n - 2 - 1, 5*n = 5*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41970?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 8 + (5 - 14).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1750\/245*7*2\/4.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -1\/64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -17*u**2. Let x(a) = -308*a. What is j(x(p))?\nAnswer: -1612688*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2634, 5838, 9028, 12198, 15342, 18454, 21528, 24558?\n\"Answer: -x**3 - x**2 + 3214*x - 578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -122662.3 rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*z**2 + 9*z**2 + 7*z**2 - 1 - 1 + 9*z**3 to g*z + u*z**3 + v*z**2 + c and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 344640 and 1020.\nAnswer: 5858880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 12:12 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*y + 431 = -94. Let g(t) = t**2 - 8*t + 5. What are the prime factors of g(y)?\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -89*l**3 + 26*l**2 + 29*l - 17. Is u(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1731.72725 to the nearest integer.\nAnswer: -1732","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 522738703?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - q - 11, -3*x + 33 = -2*q - 0*q. Let a(y) = 43 + 4*y + y - 5*y - 2*y. What is the remainder when x is divided by a(20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 543447 by 9.\nAnswer: 60383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 0)*(2*m**2 + 2*m**2 - 5*m**2 - 3377 - 50*m**2 + 3377 + (4*m - m - 2*m)*(-3*m - m + 3*m)) to the form p*m**2 + u + v*m and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67 + 2*s + 133 - 66.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1\/6, 6, -1, -3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*v = -33*v + 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1830.71223 to the nearest ten.\nAnswer: 1830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71865?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o + 4. Let t(a) = -6*a + 20. Let u(q) = -2*q + 7. Let v(d) = 4*t(d) - 11*u(d). Calculate -3*l(g) + 4*v(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 208*f + 231 = 2519 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 0*b**3 - 8*b**2 + 8*b + b**3 + 0*b + 4. What are the prime factors of a(7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3216 = 5*o - 804. What is the remainder when (-2)\/(-7) + o\/28 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/35 + (2 - 288\/105). What is the fourth biggest value in -1\/2, 0.23, t, 0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 5. Let n(q) = 2*q**3 - q**2 + q + 1. Let s be n(x). Suppose u + 2 = s. Does 13 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28952 + 28956. Sort -2, -0.247, y in decreasing order.\nAnswer: y, -0.247, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 divided by 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -217 + 220. Let i(t) = t + 6. Suppose -4 = -4*s - 4*n - 28, -3*s = 4*n + 21. Let d be i(s). Solve 0*m = l*m - d for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 277 - 276.6. What is the biggest value in -0.5, -13, 3, r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17.2318 and 46.\nAnswer: -792.6628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6939?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 5:35 PM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -793 - -829. Suppose -a*h + 818 = -6742. Calculate the remainder when h is divided by 22.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -79 or -23742?\nAnswer: -23742","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 39906, 79934, 120092, 160380, 200798?\n\"Answer: 65*k**2 + 39833*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 + -53b?\nAnswer: -545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.5902 * -1.3189\nAnswer: -0.77841478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**5 + 2056*s**4 - 30656*s**3 + 83630*s**2 + 104289*s - 404118 = 0.\nAnswer: -2, 3, 11, 2041","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*j**4*p - 61*j**4 - 2051*j**3*p**2 + 30222607*j**2*p**2 wrt j.\nAnswer: -96*j*p - 1464*j - 12306*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -30285?\nAnswer: -30280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-162)\/4 - ((-7)\/(-2))\/7. Let h = m + 100. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 - 414*h - 2453. Determine p(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 - 8. Let m be (-392)\/(-21)*((-35)\/7 + 2). What is the least common multiple of 21 and (-1041)\/o - 1 - m\/(-98)?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 1050.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - -6) + -10 + -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -22274 - 1.94\nAnswer: -22275.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -3399?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -343 + 299. Let d be 18\/(-42) + x\/(-119). Is -3 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -204770358.297 and -0.05.\nAnswer: -204770358.347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u - 1. Let w(n) = 3*n - 1. Let o(z) = 7*s(z) - 4*w(z). Let i be o(3). Suppose i*p - 4*p = -84. Calculate the highest common divisor of p and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16199 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 7*y - 72*y**2 + 74*y**2)*(-3 - 2*y + 3).\nAnswer: -4*y**3 + 10*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 143960 and 61940.\nAnswer: 445844120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/157 and -34\/60131.\nAnswer: 60131","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 11 = a, -3*p + 56 - 125 = 4*a for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let y be 840\/288*(-54)\/(-63). Put y, -2\/9, -2\/35 in decreasing order.\nAnswer: y, -2\/35, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-2)*(36\/6)\/(-90)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {j: 3, a: 12, s: 3}?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 2*t + 11. Let b be ((-16)\/(-3))\/(((-196)\/(-252))\/((-21)\/18)). Determine j(b).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1842852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**2 - 19*j + 37. Let z be w(-11). Put z, 5, -27, -14 in descending order.\nAnswer: 5, z, -14, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17635\/29588398 - 2\/20519. Find the common denominator of w and -23\/70.\nAnswer: 7210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1389 greater than -1370?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2931657*y**2 + 1164482 wrt y?\nAnswer: -5863314*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -6*x**2. Let u(j) be the first derivative of -j**3\/3 - 11. What is u(q(f))?\nAnswer: -36*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (48\/(-30))\/(4\/(-50)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/10 + 6874\/660 + -3. Let k = 17\/33 - r. Which is greater: -5 or k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 303 = 29*y - 26*y. Is 12 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5732664*s - 3 + 4 - 3615871*s.\nAnswer: -9348535*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 66.8 + -43. Let p = -24 + m. Let k be ((-4)\/(-6))\/((-5)\/(-6)). What is the second biggest value in -0.1, p, k, 7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -5*r + 81. Let j be n(14). Suppose -801 + 2308 = j*w. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -260 - -256. Let m be k\/(-22)*(6 + -8 + 4). Which is bigger: m or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 255 + -88. List the prime factors of u.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.9029893 minus 0.9?\nAnswer: 17.0029893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/376 and 89\/22372.\nAnswer: 44744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(12))\/sqrt(6)*-3)**2 - -3*-1*sqrt(14)\/sqrt(7).\nAnswer: -3*sqrt(2) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-13 + 23)*(0 + 1). Let g(a) = -7*a**2 - 8*a + j*a**2 - 3*a**2 + 14*a**2 - a**3 - 29. What is the tens digit of g(13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 789 = 2*f - 3*m - 2*m, -f - m + 412 = 0. Let c = 426 - f. Does 3 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 182259 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1440.4 - 1622. Let y = d - -182. Sort -5, y, 2\/3 in ascending order.\nAnswer: -5, y, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 39*a**2 + 87*a + 70. Let w be k(-42). Suppose 2*y - 7167 = -f + w, -f - 72369 = -2*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x**(-15)\/x)*x*x*x)\/(x\/(x\/(x**6*x)*x))*(x\/(x\/(x\/(((x*x**(-3\/2)*x)\/x*x)\/x))*x*x)*x)\/x**8 assuming x is positive.\nAnswer: x**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5818744 to the power of 1\/2, to the nearest integer?\nAnswer: 2412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 9*z + 6. Let i be y(-9). Suppose q = i - 3. Solve 5*a - q*a = 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w - 3. Let y(j) be the second derivative of -j**3\/6 - 2*j**2 + 45*j. Give 3*n(h) - 2*y(h).\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 148, 232, 316, 400, 484, 568?\nAnswer: 652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 31466 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 255*k + 204. Give w(-1).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3*y**2 + 3. Suppose 0 = -4*l, 5*l = -2*v + 3*l - 6. Let h(u) = -3*u - 8762 - u**2 + 8763 + u**3 + 3*u. Determine v*h(f) + k(f).\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a century in months?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 4:32 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -580.92, -12, 19 in descending order.\nAnswer: 19, -12, -580.92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f*(f*f**8)\/f*f)\/f))**(-41)*(f\/(((f**(2\/27)\/f)\/f)\/f))\/(f*f\/((f\/f**(-16))\/f)) assuming f is positive.\nAnswer: f**(9340\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of j**3\/3 - j**2 - 2*j. Suppose -4*u + u + 6 = 0. Suppose -u*i - 12 = -5*i. What is m(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 1076 (b) 62 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/65 and -49\/16.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -3*b - 1\/2*b**2 - 1\/3*b**3 + 27. Determine q(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 7:04 AM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 266484*p**2 + 3*p - 17 + 17 + 266497*p**2 - 532987*p**2 - 3*p.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + 69*p + 1277. Determine k(-15).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of 2*c**3\/3 - 5*c**2\/2 - c + 1. Suppose 11*m - 26 = 18. Determine t(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13348656 equal to 13348657?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*j + 36 = -3*d, -2*j = 0. Let h be d\/18*(-1)\/2. Let n = -5.2 + 6.2. Which is the nearest to h? (a) n (b) -2\/3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -42020 - 125560?\nAnswer: -200610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -904 + 1295. Let p = -387.87 + a. Round p to 1 dp.\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*o = 2*s - 22*o - 113, -224 = -5*s + 7*o. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96 and 258108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -126.13*-0.05.\nAnswer: 6.3065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3150 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 324141322 (base 5) to base 16.\nAnswer: 154eee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/11 + 3\/44. Let l = 4.92 + 0.08. Let y = -316\/5 - -63. Which is the nearest to i? (a) -5 (b) y (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**2 + 2*t - 2*t + (t + 6*t + 13*t)*(-2*t + 3*t + 2*t) + t**2 - t**2 + 2*t**2.\nAnswer: 60*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1376.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (12\/350)\/(1635\/(-23653)*-31)\nAnswer: 2\/125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 3 + 6 - 3. Let f = 6 - b. Suppose -2*h - f + 3 = 0. Solve y + h = -3 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*m**4 - 2*m**4 - 4*m**4 + (2*m**3 - 6*m**3 + 2*m**3)*(1 + 2*m - 1) - 327*m + 327*m - 31*m**4 - 8*m**4 - m**4 + 0*m**4.\nAnswer: -46*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*r**5 + r**4 + 1217*r**3 + 93*r + 147 wrt r?\nAnswer: 60*r**3 + 12*r**2 + 7302*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 12, -3, -12041?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 2 + (-27)\/(-3)*-2. Let z be (-57)\/(-5) - (-6)\/g. Suppose 14*c - z*c = 120. Does 5 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 4*n + 9. Let x be d(5). Differentiate -6*r**4 - 15 + 5 + 4 - x wrt r.\nAnswer: -24*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lwwwwwwewwnwnlwwwww. What is prob of sequence wee?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/3795483 and -37\/495063.\nAnswer: 11386449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2397 and 0.2513.\nAnswer: -2396.7487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(99) - (sqrt(99)*2 - sqrt(99)))*-3 - (sqrt(99) + -1 + -2)) + 5)*-4)**2.\nAnswer: -768*sqrt(11) + 2608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(68) + 0)**2 + (-1 + sqrt(68) - sqrt(68))**2*3)*-3 - ((-1 + sqrt(2448) - sqrt(2448) - sqrt(17))*-1)**2*-1*-5.\nAnswer: -303 - 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1580)\/(-158))\/(1\/(56\/20))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 PM and 10:24 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -65, -2 in ascending order.\nAnswer: -65, -5, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1022 (base 3) to base 13.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/19, 1\/2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 33 = -4*g. Suppose g*t + 5*t - 42 = 0. Solve 4*s = -t*l + s - 3, 4*l - 11 = -s for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 12*j**2 - 9*j + 7. Let v be c(11). Suppose -4*a = -47 - v. What is the remainder when 74 is divided by a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -3*u**3 - 6*u**2 - 14. What is the second derivative of t(h) wrt h?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26745*d + 27 = 26736*d. Suppose 0 = -4*o + 3*z + 16, -3*o + z + 9 = 2*o. Sort 9, o, d in ascending order.\nAnswer: d, o, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 419153 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-8))\/((-15)\/60) + -8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v + 106463 + 44833 = 0. What are the prime factors of v?\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 - -0.18. Let o = b - 0.02. Let w = 0.04 + o. Is w at most as big as 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/65, 1, 0, -1.\nAnswer: -1, -4\/65, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1991 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + 3 + 6\/(-1). Suppose x = -9*c + 4*c - 8445. List the prime factors of c\/(-12) + -2*4\/(-32).\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-14) + 9\/7. Suppose 5*d - 11 = -0*i - 3*i, 0 = 5*i - 10. Let a be d*-2*(-21)\/14. Solve p + w = a for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 4*i - 1. Let x be m(4). Suppose x*r = 21*r + 12. Let s be 5 + r + 178 + 8. What is the greatest common factor of s and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -221*a**5\/60 - 115*a**4\/12 + 68*a**2. What is the second derivative of k(y) wrt y?\nAnswer: -442","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*w = 31*w + 82. Let j be (w + -1)*-10*(-33)\/66. Let r(n) = n**2 - 3*n - 2. What is r(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 898612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -81.891649 rounded to 1 dp?\nAnswer: -81.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -2358242 less than -2358243?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 5 - 3 - 2 + 1 - 2*w. Let m(t) = -t**2 - 18*t - 18. Let o be m(-12). Suppose 64 = 5*i + o. What is l(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99449 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3155, -3157, -3161, -3167, -3175, -3185, -3197?\n\"Answer: -b**2 + b - 3155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -546 + 546.05. What is the third smallest value in 2.2, -3, x?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-75)*(-425)\/(-510)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 9*v**2 - v + 1. Let p = 1 + -1. Let g = p + 1. Calculate the remainder when d(g) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.2, -0.5, -0.2, -1, -2\/13, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and -319.\nAnswer: -318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -257*y**4 - y**3 - y**2 - 284*y + 1. Let x(l) = -2*l**4 + l**3 + l**2 + l - 1. Let b(s) = -t(s) - x(s). Find the second derivative of b(z) wrt z.\nAnswer: 3108*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (62\/93)\/((-2)\/15).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d - 5*d**2 - 2*d + 42*d**2.\nAnswer: 37*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k - 4*k - 5*j, 3*k = 3*j + 18. Let o = -3 + -4. Let l = -5 - o. Solve -4*z + q = -l - k, 4*z + 2*q - 24 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 9, v: 7}. What is prob of sequence vvg?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -470, -2125, -4966, -8993, -14206?\nAnswer: -20605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 594*u**4 + 7*u**2 + 12*u + 103. Let n(v) = -297*v**4 - 4*v**2 - 6*v - 52. Let r(l) = 4*d(l) + 7*n(l). What is the second derivative of r(t) wrt t?\nAnswer: 3564*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20521*i**2 - 12874*i.\nAnswer: -41042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2*q - 6 = 0, 5*q + 7 = -0*s + s. Suppose 71 = 5*v - 4*p, -4*v - s*p + 40 = -p. What is the greatest common factor of 22 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 - 2*u + 10. Let t(i) be the second derivative of i**2\/2 - 5*i - 6. Let x(w) = -n(w) - t(w). Let y be x(3). Solve -y*q + 2 = -6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -5, -32 in descending order.\nAnswer: 0, -4, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (72\/(-120))\/((-9)\/5)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - x = 14. Suppose -4*k = -3*q - 79, -57 = -x*k + 2*q + 3*q. What is the remainder when 62 is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6 (b) 1.3 (c) 0.2 (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 373.3074 + -4.2874. Let m = z - 369. Which is the closest to 0? (a) m (b) 2\/3 (c) 5 (d) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2 + 24 = 0. Calculate the remainder when 18 is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1.3 (b) -2\/13 (c) -0.1777 (d) -1 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 25.279 to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34898152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 15*z - 126. Determine a(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 1\/3, -2894, -0.069?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1634, 570, -2324, -7960, -17250, -31106, -50440, -76164?\nAnswer: -109190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 409 = 5*v - 261. Let q be 3 - -2 - (-3 + 4 + 0). Suppose -5*g + f = -v, q*g + 0*f = -4*f + 88. Does 11 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 8) + (-1 - -11 - 16).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30969475897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 335*c**2 - 2*c. Let q be z(2). Let w = q + 1595. Suppose w = -5*b + 4*i + 15, -i - 1156 = 2*b. What is b rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2 + 1)*-1 + -2 + 19 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**5 + 384*k**4 + 34270*k**3 - 473568*k**2 - 507455*k = 0.\nAnswer: -211, -185, -1, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 73 - 1114?\nAnswer: -1051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 6*v**2 + 4. Suppose -3*m = 5*g - 2*m + 7, -10 = 2*g - 2*m. Let d be (44\/(-24) - g) + 70\/12. What is t(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (7 - (-1 - -4)) + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -3*q**5\/160 + 11*q**4\/32 + q**3\/16 - 33*q**2\/16 + 30*q. Factor h(j).\nAnswer: -3*(j - 11)*(j - 1)*(j + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 280048 and 197860.\nAnswer: 18203120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(25\/(-5)) - 6\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**5\/5 + 4*a**3 - 8*a**2 + 6*a - 8\/5.\nAnswer: -2*(a - 1)**4*(a + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 0. Suppose 4*k + 0 - 4 = w. Let j be ((-30)\/(-7))\/5 - (-182)\/(-98). Which is the closest to k? (a) j (b) 2\/21 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5198\/2229 - 1\/743. Let r be 4250247\/(-660) + 2\/(-11). Let b = r + 12887\/2. Find the common denominator of d and b.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express d**3 - 3*d + 5*d + 89 + 5*d**2 - 90 as t + g*d + x*d**3 + b*d**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of -h**4\/12 + 5*h**3\/6 + h**2 + 6*h. Calculate k(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4*(1 + (-9)\/6). Suppose 4*b = 3*i + 11, -k*b + 8 = i - b. Suppose -80 = -4*c + i*z + 2*z, 12 = -3*z. What is the remainder when 29 is divided by c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2 - 12921*g - 258020.\nAnswer: -(g + 20)*(g + 12901)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7789?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12380934672 - 12380936327.0001373. Let h = s + 1655. What is h rounded to five dps?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21457 is divided by 148?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/10 + 4\/10 + 1. Let i(p) be the first derivative of -1\/12*p**6 + 1\/3*p**5 + 1\/3*p**3 - j*p**4 - 4 + 0*p - 1\/12*p**2. Factor i(h).\nAnswer: -h*(h - 1)**3*(3*h - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 2151a084?\nAnswer: 2151a085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1021631816.\nAnswer: 2, 53, 2409509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 1622.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2*h - 2 = 0, -3*l + 12 = 4*h - 6. Suppose -6*f + l*f = 8. Let g be f - (1 + -3 + 12100). Round g to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*y + g = 127*y + 7498, -5*g + 3731 = y. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -25, 82*j - 393320 = 77*j - 3*a. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.64627nm to kilometers.\nAnswer: 0.00000000000064627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14635 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of 1\/3*q**3 - 3*q + 0*q**4 + 0 + 0*q**5 + 0*q**2 + 1\/10*q**6. Find the second derivative of c(z) wrt z.\nAnswer: 36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 41 - 1\/(3 - 2). Suppose -x + 5*x - t = -3*f, 0 = f - 4*x - 40. Solve -3*w + f = 2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.94 - 0.06. Let s = -0.3 + 3.3. Suppose 3*j - d = 5*j - 15, -4*j + 2*d = -10. What is the nearest to -1\/3 in r, s, j?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44078 - -12873.4\nAnswer: -31204.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3*c - 2 - 8, 4*c = -4. Let j(p) = 2*p - 4. Let o(f) = 22*f + 18. Let x(v) = -13*v - 9. Let m(i) = -4*o(i) - 7*x(i). Determine w*j(h) + 3*m(h).\nAnswer: -5*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4849*u - 23*u**3 - 4849*u.\nAnswer: -23*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of -l**7\/1050 + l**6\/100 + 7*l**5\/60 + 2*l**4\/5 + 2*l**3\/3 + 333*l**2. Solve y(m) = 0.\nAnswer: -2, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, l: 1, w: 3}. What is prob of sequence ww?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5526096323?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 23084773 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97334906?\nAnswer: 2, 1429, 34057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 8 (b) 850 (c) -2 (d) -0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 7:54 PM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2685199.\nAnswer: 11, 244109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -15, 0 = 4*h - 6*h - 5*b + 53. Let z be 12*(2 - h\/10). Is z less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + s + 72 = 11*s. Let y(w) be the second derivative of -19*w + s*w**2 + 0 + 1\/3*w**4 - 2*w**3. Solve y(v) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c**2 - 161337*c + 13587120 = 0. Calculate c.\nAnswer: 339\/4, 13360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 26079.15cm in millimeters?\nAnswer: 260791.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*p - 69*p + 129*p + (-2*p + p + 3*p)*(0 + 0 + 2))*(-70*p**3 + 18*p**4 + 70*p**3).\nAnswer: 594*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.1 * -2556276.\nAnswer: 2811903.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -31 or 609578?\nAnswer: 609578","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/24)\/k)\/(k\/(k*(k**(-1\/10)*k)\/k)))**26 assuming k is positive.\nAnswer: k**(-1781\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/h**35*h)*h*h**(-24))\/(h\/(h**(-8\/7)*h))**10 assuming h is positive.\nAnswer: h**(-3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -227 + 221. Let f be 32\/j*(-12)\/8. What is the greatest common factor of 296 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w - 24862430*w**2 + 24862433*w**2 + w.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/12)\/((7350\/(-144))\/49).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 6 = -30. Calculate the remainder when 45 is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 8, q: 7, n: 5}. What is prob of sequence nn?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -10 - (-16 - -14).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.01, -1\/3, 2\/27, -9\/14?\nAnswer: -9\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 18 - 7*d)*(6*d**3 - d**3 - 3*d**3).\nAnswer: -14*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 479555063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 560328163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -5, 183, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 57819 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -30 + (-19 + 70 - 59)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 205492589?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 9*b - 4 = -7*b, -o - b = -2. What is the units digit of (-3)\/(12\/16) + (431 - o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-441)\/(-14)*6 - 2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 + 5*g**2 + 4*g - 20. Let z be m(5). Let u be (z\/(-2))\/(-4 - 4\/(-4)). Solve q + u*q - 2*b + 10 = 0, 14 = -3*q + 2*b for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -3 (b) -113 (c) -29 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 4:47 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-352)\/(-184) + 2\/23. Let w(c) = 1 - c**2 - 9*c - 6*c**2 + 0 + 11*c**n - c**2. What is w(6)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, -0.175, 1\/41, 0.3, -6?\nAnswer: -0.175","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 109 or 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 18158 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -g**4\/8 - 7*g**3\/6 - 3*g**2. List the prime factors of s(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 27*m**2 + 6*m - 2. Does 2 divide y(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {t: 1, d: 1, r: 2, c: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -u**6\/3 + 3*u**2 + 2. Find the second derivative of c(b) wrt b.\nAnswer: -40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4379062953 to the power of 1\/3, to the nearest integer?\nAnswer: 1636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1 + (sqrt(612) + sqrt(612) + 1 + sqrt(612) - sqrt(612)) - (sqrt(612) + (sqrt(612) + 1 + 1 - sqrt(612)) - (sqrt(612) + -2*(0 + sqrt(612))))**2.\nAnswer: -2455 - 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjv when three letters picked without replacement from jfijtqjvjjjttvjjqjj.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.8 (b) -5\/2 (c) -21.2 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 250140068?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qxxq. Give prob of picking 1 q and 1 x.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12939861 is divided by 3234932.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (64\/2320)\/(((-33)\/(-330))\/((-2)\/8))?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 532 = -3*q - f, 3*f = 15. Let v = q - -343. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((128*d + 142*d - 36*d)*(3 + 1 - 2) + (-d + 3*d + 0*d)*(-6 + 3 + 4))*(d**3 + 3*d - 3*d).\nAnswer: 470*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 511\/30 + -17. Let f(h) be the second derivative of -1\/3*h**2 - 6*h + 0 - m*h**5 + 1\/9*h**3 + 1\/18*h**4. Factor f(x).\nAnswer: -2*(x - 1)**2*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -613 take away 39.18?\nAnswer: -652.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 48*f + 1647. What is d(-34)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 78935.497?\nAnswer: 31574.1988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 19, -14, -66?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 + 28 = 2*q + 61 for q.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*h - 57*h = 1786. What is the lowest common multiple of h and -4 + (-4 - -6) + 16?\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -56463.\nAnswer: -10\/56463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -0*b - b. Find the first derivative of 0*u**2 - u**2 + 0*u**2 + 3 + 3*u**b wrt u.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 8, w: 2, j: 2, g: 6}. Give prob of sequence wgwp.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from eeeezezzeezzeezeee?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1728))**2*2.\nAnswer: 31104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0735? (a) -5 (b) -8 (c) -0.138\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 - 29*q - 22. What is the tens digit of t(-24)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -258, -287, -68, 411, 1162?\n\"Answer: 2*k**3 + 112*k**2 - 379*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1243 - 9931\/8. Let y = -162421\/36 - -4511. Find the common denominator of f and y.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (36\/30)\/(2\/5). Suppose -v*j = -7*j + 16. Determine a so that 0 + 0*a**2 + 1\/2*a**3 + 0*a - 2*a**j = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 220 and 550.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 + -19. Suppose 0 = 2*r + 3*r - 55. Suppose f - 2*f + r = 0. Solve -f = -4*i + n for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49 - -19532\nAnswer: 19483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 3\/8*c**5 + 0*c**4 + 0*c**2 + 3\/4*c**3 - 3\/8*c = 0. What is c?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 - 5)*(4*r + 4*r + 12 - 6*r) in the form w + u*r and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/5*(17004\/(-720) + 32\/(-240)).\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3631.9 - 3632. Do -211 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -8*s**2 - 17*s + 17. Let r(o) = 3*o**2 + 6*o - 6. Let k(c) = 6*j(c) + 17*r(c). Let x(y) = -6*y**2. Give x(k(t)).\nAnswer: -54*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -22, -2\/3, -2\/17, -2, 5, 0, 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 278, 664, 1210, 1916, 2782, 3808?\nAnswer: 4994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 1653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*n - 4 = -0*n, 0 = -5*m + 5*n. Let a(w) = -2*w - m + 1. Let o(i) be the third derivative of -5*i**4\/12 + 2*i**2 + 24. Calculate a(o(z)).\nAnswer: 20*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + 117*g**2 - 257*g + 3167. Give l(115).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/6))**(-14) assuming l is positive.\nAnswer: l**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + 98a5?\nAnswer: 98a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 less than 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -0.7621, -2\/7 in ascending order.\nAnswer: -2, -0.7621, -2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2484)\/(-15) - (-2)\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -1 - 10\/(-4) - (-90)\/20?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27645\/2 + 13822. What is the closest to 2\/27 in 0.3, 3\/5, -63, j?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 12:58 PM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 3*p - 24, 9*p - 55 = 4*p - 2*x. Suppose 0 = -3*s + 5 - 2. Is 10 a factor of p - (2 - 2\/s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**2 + 3*f**2 + f**2)*(-29*f**2 - 22*f**2 + 3*f**2) - 2*f**4 - f**3 + f**3.\nAnswer: -290*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 4*n - 52. Let u be z(14). Solve 4*v - 7 = -4*g + 5*g, u*g = 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 times -14?\nAnswer: 12.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40948851 is divided by 2519?\nAnswer: 2506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*w**5 + 17*w**5 + 31*w**5 + (2*w**3 + 6*w - 5*w**2 - 4*w - w + 1)*(2*w**2 - w**2 - 2*w**2).\nAnswer: 67*w**5 + 5*w**4 - w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 1145 = -5*h - u, 1190 = -5*h + 4*u. Let s = h - -22696\/97. Which is bigger: 1 or s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 13, m: 3}.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 0*f - 7*f + 1 + 6*f + 0*f. Let n be q(-3). Suppose d - n*d = 0. Sort 4, 2, d.\nAnswer: d, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-18)\/(o\/o**1)*o**(11\/6)\/o**(-28) assuming o is positive.\nAnswer: o**(71\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 7*x**2 + 89*x - 624. What is v(7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*o**2 + 0*o**2 - o**2.\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 240, 237, 234, 231?\n\"Answer: -3*z + 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -23029 + 412?\nAnswer: -22617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of h**3 + 1\/8*h**4 + 0 + 0*h + 1\/60*h**5 + 2*h**2. Differentiate b(j) wrt j.\nAnswer: 2*j + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 30*g**2 + 757*g + 189. Calculate the lowest common multiple of 34508 and x(-25).\nAnswer: 241556","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.1 + -1.85. Let l = r + -0.05. Let b = 4.4 + l. Sort -1\/4, -1\/11, b in descending order.\nAnswer: b, -1\/11, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*f + 8*f + 7*f**2)*((1 + 8 - 3)*(-6*f + f + 3*f) + 6 + 7 - 368*f + 369*f).\nAnswer: -77*f**3 + 91*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 30\/25 + (-2 - -2)*(-5)\/(-20). Suppose 8 = 2*s + 2*g, -31*g + 34*g = -2*s + 10. Determine r so that -v*r - 4\/5 + 4\/5*r**s + 6\/5*r**3 = 0.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 306414687?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 798?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -70 - -120. Suppose -396*x + 21930 = 15*x - 163020. What is the highest common divisor of x and i?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -22*f - 14, 94*g + 1 = f + 93*g for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3876 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - (-547 - -2) - 3. What is the highest common divisor of 49 and d?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, 4, -5\/31, 1\/8 in descending order.\nAnswer: 4, 1\/8, 0.04, -5\/31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 295 + -142. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/3870 and 58\/1311.\nAnswer: 1691190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -86389\/99 + 9600\/11. Let u be 13\/9 - (2 - 1). What is the third biggest value in t, 24, 2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -11*h**2 - 10*h - 14. Let n(o) = 5*o**2 + 5*o + 6. Let y(p) = -5*n(p) - 2*u(p). Calculate y(-4).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 22 = -64. Let i(q) = 32*q + 113. Is i(h) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 4:15 AM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 take away -4769937?\nAnswer: 4769919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -53*b**3 - 11*b**2\/2 - 3738*b + 4415. What is the derivative of g(u) wrt u?\nAnswer: -318*u - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 4*u - 15, q + 3*u + 2 = -1. Which is the third biggest value? (a) q (b) 0.5 (c) 3\/5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1 - -1) + 2)\/1. Suppose v - g*v = -4. Suppose v*c = 109 - 25. What is the greatest common divisor of 231 and c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -231 + 687. Suppose 0 = -2*s - 4*g - 524, -3*s - 2*g - w = 322. Round s to the nearest ten.\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 t, and 2 v when four letters picked without replacement from {z: 1, v: 10, t: 1, l: 3}.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 + -0.2. Let s be -15 - -16 - (-133)\/(-130). Let w = 287\/1170 + s. What is the closest to -5 in -2, z, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13551, 19564, 25577, 31590, 37603, 43616?\nAnswer: 49629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(4\/9))**36 assuming c is positive.\nAnswer: c**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -78*u**6 - 99201*u**3 + 66144999*u**2 wrt u?\nAnswer: -9360*u**3 - 595206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -2\/5, 1.7, 0.11, 2\/5?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((0 + -2*(sqrt(1377) - (sqrt(1377) - (sqrt(1377) + 0))))**2 + 2)*2.\nAnswer: 11020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/3))**(-2\/39)\/(n\/(n\/n**(-8)*n*n*n)*n**1) assuming n is positive.\nAnswer: n**(1174\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 358 and -1401027216.4.\nAnswer: -1401026858.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1a87 + 2a?\nAnswer: 1ab5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**3 + 4*i**2 - 4*i + 59. Let b(m) = 2*m**3 - 3*m**2 + 3*m - 62. Determine -4*b(o) - 3*z(o).\nAnswer: -2*o**3 + 71","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/3, -14\/45, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + f + 2*f**2)*(-2 + 3 - 3) + f**2 - 2*f**2 + 3*f**2 + 3*f**2 + 11*f**2 + 0*f**2 + (-2 - 2*f + 2)*(-2*f + 3*f + 0*f).\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/6 + 8\/3. Let p = 7 - 5. Let c = 2.1 - p. Which is smaller: o or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (54\/(-2))\/((2 + 1)\/(-3)). Let f(o) = 2*o - 49. Let h be f(t). Solve -2*g = -h*g - 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1025 - -9.0825. Let x = -23 + 14. Let v = j + x. Which is the closest to 0.1? (a) 1\/6 (b) -0.2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from avahahvwvawa. Give prob of sequence wav.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 15 = 0, -27*r + 28*r + 4*i - 14413 = 0. List the prime factors of r.\nAnswer: 14401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -t**7\/7 - t**5\/10 + 88*t**3 + 145*t - 2. Find the second derivative of p(d) wrt d.\nAnswer: -120*d**3 - 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b - 1da2?\nAnswer: -1dad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3748*s**2. Let i(w) = 1329*w**2 - 2. Calculate i(r(l)).\nAnswer: 18669132816*l**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z - 3*z + 5*z + 10*z - 19*z + 16*z + 0*z + 3*z - 2*z + (-5 + 4 + 3)*(-3 + 3 - 1)*(-6*z + 2*z + 3*z).\nAnswer: 14*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/6)\/(5*(-21)\/(-280)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5*k - 3*c - 12 = 0, 5*k = 3*c + 15. Find the third derivative of -4*l**3 + 5*l**2 + 5*l**3 + l**3 - l**k wrt l.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10 + (1 - ((-75)\/5)\/((-15)\/6)). Solve 2*p - h*k = 21, 27*k = 2*p + 24*k - 15 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -53*d + 97*d - 45*d. Let o(g) = -417*g. Give o(v(u)).\nAnswer: 417*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*k - 2*u - 37, -32*u = -k - 35*u - 8 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -2, -0.3, 126, -0.5, -4 in ascending order.\nAnswer: -9, -4, -2, -0.5, -0.3, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 12:46 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2778 - -0.0343. Put 0.4, x, -3\/5 in descending order.\nAnswer: 0.4, x, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 138 - 145. Let l = -5 + 3. Is l greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -535542 - 32?\nAnswer: -540014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 1\/319204694 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50 by 1541037.\nAnswer: -50\/1541037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (180\/168)\/15 - 41\/(-14). Solve 3*k = -j*g + 8*k, 0 = -3*g - 4*k - 27 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6341785 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 36599017*n + 18347686 wrt n.\nAnswer: 36599017","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 450 and 396?\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*r**3 + 5 - 2*r + 57*r**2 - 7 + 22 - 18 as q*r**3 + t + h*r + w*r**2 and give w.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 111 - 82. Suppose z*m = 25*m. Let p = 13 - 1. Solve m = -3*f - 0*f + p for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*r - r - r + 0*r + 0*r + 2*r + (-6*r + 3*r + r)*(1 - 2 + 0) + 3*r + r - 3*r)*(582*r**2 - 1172*r**2 + 588*r**2 - 49*r - 2*r**3).\nAnswer: -30*r**4 - 30*r**3 - 735*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) -6 (c) 2\/3 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000083516 to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.55 less than 105628307668?\nAnswer: 105628307684.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -126*g**3*z**5 + 3*g**3*z**3 - 440*g**3*z + 5*g*z**2 - 2*z**2 wrt z.\nAnswer: -7560*g**3*z**2 + 18*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -2) + 2*(-14)\/(-49).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*x - 4*u - 37, -3*u - 101885 + 101906 = 3*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -19. Suppose -3*f - 2*f = y. Suppose 8*z - 27 - 37 = 0. Solve f*m - z = 2*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76, -82, -516, -1364, -2764, -4854?\nAnswer: -7772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**3 - 2*d**2 - 2*d. Let n be a(-1). Let r = 270 + -265. Solve 5*o - r = 3*h, -3 = -5*o + 4*h + n for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1103 + 18\/(-6) + 3 + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oljclc. What is prob of sequence oc?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 332*r**2 + 49*r**2 + 120*r**2 + (0 + 3 - 1)*(r**2 - 2*r + 2*r) to g*r**2 + w*r + m and give g.\nAnswer: 503","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a kilometer in meters?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 90288, 180578, 270866, 361152?\n\"Answer: -u**2 + 90293*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**(1\/5)\/g*g*(g\/(g*g*g**(1\/11)))\/g)\/(g*g\/(g**0\/g))**4 assuming g is positive.\nAnswer: g**(-654\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**4\/9 - 58048*a**3 + 51121504*a**2\/3 - 15022192640*a\/9 + 163533992384\/3.\nAnswer: 4*(a - 130314)*(a - 98)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1928*k**2 - 1784*k**2 + 3711*k**2 - 3 + 1 + 2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 4 + (-5 + -2*sqrt(448) - sqrt(448)) + -5)*1*-5)**2.\nAnswer: 13200*sqrt(7) + 103825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1355992 and 1672?\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -3*d**3 + 20*d**2 - 7*d - 7. Let u be f(6). Suppose 0 = -21*o + u*o + 10. What is the smallest value in o, -2, 2, -2\/107?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 201*u + 20*u + 270*u - 11*u - 29*u to the form p*u + g and give p.\nAnswer: 451","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/(-34)*2\/7\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.02 - -0.08. Let o = -0.064 + q. Round o to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 107*f - 2. Give l(1).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 348 - 1069 + 252 - s + 311 + 304.\nAnswer: -s + 146","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 47233 * 0.0809\nAnswer: 3821.1497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -5. Suppose 0 = w*f + 19 - 54. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1035384230 - 0.2?\nAnswer: 1035384229.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**2 + 2*g + 2. Let t be 4\/(-6)*414\/(-12). Let s(r) = 25 + t - 49. Determine -o(b) - 3*s(b).\nAnswer: -2*b**2 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 + 4. Let o be g(3). Which is the smallest value? (a) o (b) -2\/7 (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b - 40. Let f(x) = -3*x + 32. Let u(t) = 4*a(t) + 5*f(t). Let z(l) = 560*l**2. What is z(u(s))?\nAnswer: 5040*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17838)\/33694)\/((-15)\/17)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-9)*b**(13\/3)\/b assuming b is positive.\nAnswer: b**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7406265 a multiple of 119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 1848*y**3 + 28*y**2 - 2*y + 7. Let c(s) = -924*s**3 - 12*s**2 + s - 3. What is 7*c(h) + 3*v(h)?\nAnswer: -924*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 1 - 4*y**2 + 6 + y - 5*y + 3*y**2. Let u be d(-5). Suppose -34 = -u*q + 30. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -252.37 less than 101474?\nAnswer: 101726.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.753 + -4.7. Let y = -1214 - -1213.887. Let m = y + q. What is the second smallest value in 2\/7, m, -1\/2, -2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-156)\/(-8)*2 + (662\/2317)\/(1\/(-42))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of 1333*t**5\/20 + 280*t**3 + 5*t + 425. Find the second derivative of m(j) wrt j.\nAnswer: 7998*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-96) - (3085\/30 - 0))\/(-1)?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 5. Is (4 - -10)*(0 + s) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bq when two letters picked without replacement from hhhqbbhhhqqsyqhqyq.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 4. Suppose s*o = -o. Is -1 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*d - d + 2*d)*(-1 + 3*d**2 + 1)*(1 + 0 + 2) to the form m + l*d**2 + z*d + c*d**3 and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -941\/143 - -43\/13. What is the common denominator of (-1)\/3*140\/15 and n?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/6))**(-24)*(x*x*x*x\/(x*x**8\/x)*x)\/(x*x**(-1)) assuming x is positive.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 3*f**2 - 4*f - 1. Suppose 4*n + 2*n = -18. Calculate y(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y = 13*y - 27. Let s(b) = -b**2 + 2*b - 2. Give s(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2285a (base 13) in base 7?\nAnswer: 351336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i - 421 = -261. Suppose 2*a - 6*a + i = 0, 4*a + 209 = 3*b. What is the greatest common divisor of 120 and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (9 - (-78309)\/14)\/(1*3\/6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/7 - 2092*m**2\/7 - 377058*m\/7 + 95004432\/7.\nAnswer: -2*(m - 136)*(m + 591)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 2*a**2)*(-7 - 4 + 19) to the form n*a + i + h*a**2 and give h.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-627)\/(-6)*(-6)\/11*(-38)\/57\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 3*m - 8. Suppose m*v = 9*v - 20. Solve 5*x + v = -6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from memeeeee. Give prob of picking 2 m.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -1437934 in ascending order.\nAnswer: -1437934, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -159.1 + -40.9. Let l = d - -298. Let y = 98.0039 - l. Round y to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 582 - 510. Let i = 7\/2 + -23\/6. Is i at least y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*p - p + 67 - p**2 - p**3 - 66 + 2*p.\nAnswer: -(p - 1)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/6 - 94*u**2 + 17672*u - 3322336\/3.\nAnswer: (u - 188)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/3)\/((-1)\/(-6)). Suppose 0 = o*j - 25 - 17. Is 12 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 10*c - 36. Let z(n) = n**2 - 13*n + 46. Let o be z(5). Let r be i(o). What are the prime factors of r*-9*(-5)\/15?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1673, -6656, -14961, -26588?\n\"Answer: -1661*f**2 - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24504729?\nAnswer: 3, 23, 131, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3207357*h**4 - 1582637 with respect to h.\nAnswer: 12829428*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**2 - 17387*l**3 - 17371*l**3 + 34745*l**3 + 3*l**2.\nAnswer: -13*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4210 is divided by 68.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/5))**(7\/2))**7*(j**(3\/2)\/j*j*j**(1\/3))\/((j*j\/(j\/j**(-2)*j))\/(j\/(j*j\/(j*(j\/j**(-1\/8))\/j*j)*j*j))) assuming j is positive.\nAnswer: j**(1531\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -764 + 1914. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24245482 + 0.13\nAnswer: -24245481.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/(sqrt(84)\/(sqrt(7)*1)))\/((1*sqrt(324) + sqrt(4))\/sqrt(2)).\nAnswer: sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 4:31 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -30*z**2 - 1036*z + 332. Give m(-35).\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.064 times 5\nAnswer: 0.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qaqvqqqqqqqqqqqq. What is prob of picking 1 a and 1 q?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**3 + j**2 - j + 1. Let v(h) = -7*h**3 + h**2 + 7*h - 4. Let x(g) = 3*b(g) + v(g). Let c = 8 + -12. Is x(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -15*d**2 + 3*d - 1. Let q(f) = -f. Calculate c(q(v)).\nAnswer: -15*v**2 - 3*v - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 7*k + 5*c - 14 = 0, 2*c - 8 = 0. Solve 3*y - 12 = -k*v, 0 = -4*y + 2*v - 4*v + 10 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/6*(228\/8)\/(-19)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 55951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kjkt when four letters picked without replacement from {t: 1, j: 3, k: 4}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4364634 to the power of 1\/2, to the nearest integer?\nAnswer: 2089","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of 2*c**7\/21 + 8*c**6\/15 + c**5 + 2*c**4\/3 + 14*c. Factor w(d).\nAnswer: 4*d**2*(d + 1)**2*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + (1 + 0 - 11). Let c be (-243)\/l + (-1)\/4. Let g = 28 + -20. Solve b = 3*i + c, -2*b - i - 3 = -g for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -21*l + 9*l + 5*l - 17*l + 1. Let m be g(-1). Solve -2*a = 3*a + 4*s - 20, -4*a = 5*s - m for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/6*3 - 31. Let g(v) = 7*v + 5. Let n be g(5). Let q = m + n. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - (sqrt(19) + sqrt(19) + sqrt(19)*1 + sqrt(19))) + 2)**2 - (sqrt(19) + sqrt(19)*-1 + sqrt(19) + 4).\nAnswer: -13*sqrt(19) + 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1844*b**2 + 0*b**3 + 5*b**3 + 3125 + 3375*b - 1589*b**2.\nAnswer: 5*(b + 1)*(b + 25)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 2*c + 1. Let v be (-7 - -1) + (2 - -6). Let b = c - v. What is the biggest value in b, 2\/15, -1\/10?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 762, 1212, 1954, 2988, 4314, 5932, 7842?\nAnswer: 10044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let z be (18\/(-4))\/((-3)\/(-4)). Suppose -2*f - 3*k = -7*f + 9, -2*f + 4*k = -12. Suppose -10 = -f*w - 5*w. Put z, w, -2 in ascending order.\nAnswer: z, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -72*a + 60*a + 33*a + 53*a + 169*a to l + g*a and give g.\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0611 - -0.6611. Sort 0.3, 5, 9, o in ascending order.\nAnswer: 0.3, o, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/29255055 and -133\/5886.\nAnswer: 526590990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5\/124 - 37\/620. Which is the biggest value? (a) -5 (b) z (c) 8\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 1\/12, 10, -0.3, -31599?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5*s = 25, 0 = -2*p - s + 2*s + 5. Let l be 4 + 2 - (1 + p). Suppose d - 4 = -2*y - 2, -l*d = -y + 1. What is the remainder when 2 is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142*r - 142*r - 3*r**2.\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 167656889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 360 and 11320.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of 0*s**3 - 1\/4*s**4 + 0 + 0*s - 129*s**2. Let n(m) = -26*m**2. What is n(q(i))?\nAnswer: -936*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008062468 to seven dps.\nAnswer: -0.0000806","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -8*y. Let l be s(-2). Suppose -34 = -3*p - 5*k, -p - p = 2*k - l. Solve r + 5 = 0, 0 = 5*i + p*r + 7 + 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4101737677 + -1?\nAnswer: -4101737700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -47 + 60.4. Round y to zero decimal places.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) + (sqrt(45) - sqrt(405)*5))\/sqrt(9).\nAnswer: -13*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/362 - -169\/4344. Let o(m) be the third derivative of 4*m**2 + 0*m**3 - v*m**4 + 0*m + 0. Let c(t) = 14*t**2. Calculate c(o(p)).\nAnswer: 14*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 0 + 3*b**2 - 4*b + 7*b + 2. Let a(u) = u**2 + u + 1. Let m(j) = -2*a(j) + x(j). Find the second derivative of m(k) wrt k.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8100 + 11475?\nAnswer: 19575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (4 - 3) - 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2865)\/382*(-12)\/(-165).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/((p*(p*(p\/p**(-2\/3))\/p)\/p)\/p))\/p**(-6))\/(p**(-1\/5)\/p*p*p*p**5\/p*p))**(-34) assuming p is positive.\nAnswer: p**(-272\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - (2 - (14 + -5))) + -5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 1490.\nAnswer: -3\/1490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 49\/200 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 22? (a) 78\/23 (b) -30 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 350157 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (48\/36)\/(2\/9). Suppose -3*d + 3 = t, -d = -2*q - 22199. Round q to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 129 = 47. Suppose 3*k = 2*h - 66, -k = 4*h - d - 78. What is the remainder when 113 is divided by h?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 3*b - 7 + 2, 5*o - 5 = 0. Let i = 11 - 4. Let k(c) = c**2 - 6*c - 6. Let g be k(i). Is g smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 5*p + 5. Let k be v(-4). Let g = 920522\/3 + -306841. What is the third biggest value in k, 6, -3\/5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + -11. Suppose 4*h - h + u = -22, -5 = n*u. Let y(f) = -f**2 - 7*f + 4. Let r be y(h). Solve -4 = r*w + 12 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 1 (c) 5 (d) -27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 500719?\nAnswer: 500719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12082?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 943350*i*n**2*q**3 + 83*i*n**2*q - i*n**2 - 4*i*n*q**5 - i*n*q**2 + 67*n**2*q**2 wrt q?\nAnswer: 5660100*i*n**2 - 240*i*n*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -77.5, 1\/8, 0.4, 0, 1\/3.\nAnswer: -77.5, -17, 0, 1\/8, 1\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58866177?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 13 = -4*i - 3*o, -i - o = -7. Solve -5*r - 4*u = 26, 0 = i*r - 0*r - 2*u for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1277, -1281, -1287, -1295, -1305?\n\"Answer: -a**2 - a - 1275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12293 = 609*w + 259*w + 33993 for w.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(2\/3))**(-6)\/(t\/((t**(2\/5)\/t*t)\/t))**(9\/8) assuming t is positive.\nAnswer: t**(-59\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 q, 1 y, and 1 g when four letters picked without replacement from qmypqygyqqqyqyqqmg?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of n**2 + 0*n**5 - 1\/12*n**4 + 0*n**3 + 0 + 1\/30*n**6 + 0*n. Find the second derivative of k(h) wrt h.\nAnswer: 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1328, -0.5, -2, -67, -2\/9.\nAnswer: -67, -2, -0.5, -2\/9, 0.1328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54 + 24024\/(-220) - -54.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 4*h**2 + 14*h + 10. Suppose g + 13*g = -70. Let y be m(g). Suppose -86 = 3*p - 386. What is the highest common factor of y and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -323763151*t**2. Let w(n) = -n. Determine r(w(j)).\nAnswer: -323763151*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 - -35. Calculate the smallest common multiple of r and 108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(12\/(-8) + 1). Calculate the common denominator of b + (-978)\/(-72) + 2\/(-6) and -14\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t**4\/6 - 2255*t**3 + 9015*t**2\/2 - 6760*t\/3 = 0.\nAnswer: 0, 1, 2704","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 295882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3450806215 to the power of 1\/3, to the nearest integer?\nAnswer: 1511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -0*i - 1428. Let q = -334 - i. Suppose 0*y + 357 = -5*v - 3*y, -2*v - q = 2*y. What is v rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 528378 + -819978. Round q to the nearest ten thousand.\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 774 is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 15127, 29776, 44425, 59074, 73723?\n\"Answer: 14649*p + 478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 3*c**3 + (-3*c - 3*c + 4*c)*(2*c**2 - 2*c**2 - c**2))*(3*c - 5 + 5).\nAnswer: 15*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -11*q**2 + 9*q + 9. Let n(o) be the first derivative of 7*o**3\/3 - 3*o**2 - 6*o + 2. Let v(c) = 5*g(c) + 8*n(c). Let m be v(3). Is m > -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110 + 12100111212?\nAnswer: 12100111102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 3*a + 7 = 0, -15 - 12 = -p + 5*a. Suppose 5*c = 6*c - p. Is c greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 136 - 86. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 + 61. Suppose 0 = 3*n + 12, 120 = -j + 3*j - 2*n. What is the remainder when y is divided by (-4)\/6 + j\/3?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118065726401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -208*x**3 - 4*x**2 - 8*x - 869. Let q(i) = -208*i**3 - 6*i**2 - 11*i - 869. Let b(y) = 3*h(y) - 2*q(y). Differentiate b(k) wrt k.\nAnswer: -624*k**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51651029 is divided by 12068?\nAnswer: 12057","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + -8. Let q = 25.4998 + -40.502. Let k = t - q. Round k to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5*(-3)\/(-15) + 45\/40. Let g(u) be the first derivative of 1\/10*u**5 + 15 + b*u**4 - 1\/4*u**2 + 0*u - 1\/6*u**3. Determine l, given that g(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.3922907 rounded to two decimal places?\nAnswer: 80.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -3 - 1 - (-1 + 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -609048*d**6 + 135*d**2 - 1269.\nAnswer: -73085760*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 68.9999988 + -69. What is i rounded to seven dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11\/5, -3, -2\/47 in descending order.\nAnswer: -2\/47, -11\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 6, q: 2}. What is prob of sequence gq?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1785.976479 microseconds in weeks?\nAnswer: 0.0000000029530034375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 7*m**2 + 6*m - 9. Let s be q(-8). Suppose 3*d = 12*o - 13*o + s, -d = 3*o - 5. Is -3\/28 <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 16 = 0, 2*x = -2*z + 81 - 77 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-3080)\/(-2772)*(108\/10 + (-3 - 0))\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 17 - 1. Suppose 0 = -5*t, t + 10 = 4*f - j. Suppose f*a + 4*i = 5*i + 5, -a + 15 = -3*i. Solve -3*w + a*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10215229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 8) in base 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 - 3*b**2 + b**2)*(-2 - 7*b + 2)*(2*b + 0*b - 5*b)*(4 - 1 - 5)*(-2 + 4 + 1).\nAnswer: 252*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -18320 divided by 5?\nAnswer: -3664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 45908400 rounded to the nearest 100000?\nAnswer: 45900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*c - c. Let d = -1 - c. Let h be 1 - 0\/(-1) - (-6 + 3). Solve 0 = -4*q - d - 3, h*j + 2*q = -14 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34.11182 millennia to centuries.\nAnswer: 341.1182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of -7*l**4\/2 - 25*l**3\/6 - 33*l**2. Is t(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-855)\/1197)\/((-40)\/(-16)))\/(2\/371 - 0)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 15*i = -6*i. Let v(a) be the second derivative of 8\/7*a**2 + 1\/21*a**4 - 1\/105*a**6 - a - 4\/7*a**3 + 3\/70*a**5 + i. Suppose v(p) = 0. Calculate p.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6646103 + 0?\nAnswer: 6646103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2353 - -303535\/129. Let d = v - -88\/129. Suppose -d*j**2 + 2\/3 + 2\/3*j - 2\/3*j**3 = 0. What is j?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 320.\nAnswer: 3\/320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 669603 to the nearest integer?\nAnswer: 818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49 - 9. What is the remainder when h is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 42 - (42 + -17 - 22) - -10?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/(((-10)\/8)\/((-51)\/(-68))). Solve -t = -41*d + 42*d, 4*t = -i*d + 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 96687950416707*m**2\/4 - 51093783*m + 27 = 0.\nAnswer: 6\/5677087","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 5 = 10*v, k = 4*v + 7 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -155*t + 9. Let m be z(-5). Suppose -6*n + m = -2*n. Suppose -4*g = -0*g - n. Is 10 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 7 - 3)*(-3*c + 2*c - c) - 2*c + 1 - 1.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*h + 7*h + 675. Let f(s) = -h*s + 63*s - 3 + 71*s. Let m be ((0 - 2) + 1)*7. Calculate f(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 + 16*h + 15. Let d be x(-15). Suppose -3*s + 9 = -d*s. Let p = 16 + -10. Solve -s*f + p = 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 PM and 6:18 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*g + 15*g + 10*g)*(g**4 - g**4 + 3*g**4).\nAnswer: 51*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-2*55\/(-30))\/1\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 60820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.4 - -5. Let r = g + -0.6. Put -4, 3\/8, r in ascending order.\nAnswer: -4, r, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 53 + 13. Suppose 0*t - t = -g. Suppose -10 = -7*r + 32. What is the highest common factor of r and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/8*2\/12*128\/(-32).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w + 2*w - 1 + 7*w + (-3 + 4 - 3)*(-w + 2*w - 2*w).\nAnswer: 10*w - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (h**2 - 2*h**2 + 4 - 3 + (0 - 1 + 0)*(0 + 0 - 2*h**2))*(-1176*h - 344*h - 1511*h + (-1 + 1 - h)*(4 - 3 + 0)) as a*h + j + m*h**2 + d*h**3 and give d.\nAnswer: -3032","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1467 + -1427. Let u = -88 + 124. Calculate the lowest common multiple of u and y.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 g when two letters picked without replacement from {r: 2, o: 1, g: 1, i: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -3576.\nAnswer: 1\/1192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffxxffxffxxfff. What is prob of sequence fx?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 316*w**3 + 2*w**2 - 6*w - 5. Let m(n) = 316*n**3 + n**2 - 5*n - 4. Let v(a) = 3*h(a) - 4*m(a). Let l = 75 + -76. Is v(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 612.61569\nAnswer: -1225.23138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 5*c**2. Let m(i) = 51*i**2. Suppose 13*l - 404 = 9*l. Suppose -b - 97 = 4*k, 308 = -5*b - k - l. Let n = -60 - b. What is n*w(g) - 2*m(g)?\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-8 + 12 + 6)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3\/5*g**2 + 354\/5*g + 10443\/5 = 0. What is g?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 5*w - 4. Calculate r(5).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34, -62, -86, -106, -122, -134, -142?\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17785?\nAnswer: 5, 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10.5 - -3.5. Let s = g + -14. Which is the closest to 3? (a) 3\/7 (b) -3\/4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1986, -3991, -6030, -8121, -10282, -12531, -14886, -17365?\nAnswer: -19986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*h**3 + 0 + 1\/10*h**4 + 1\/2*h**2 - 1\/5*h.\nAnswer: h*(h - 2)*(h - 1)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7691107, -15382213, -23073319?\nAnswer: -30764425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -7*p - 3. Let k be b(-1). Solve 0 = -5*c - 3*t - 10, -c - k*c - 4*t - 10 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -255 + 397. Suppose 0 = -6*k - 243*k + 12948. Calculate the remainder when p is divided by k.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5*o = 108, -304 = 3*a - 4*o + 20. Let x = a - -179. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/8)\/((-4)\/(-48)*17\/(-51)). Suppose 3*p - 4 = -2*z - 1, -2*p - 3*z = -7. Let a = g + p. What is the lowest common multiple of 12 and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.29 and 94196.14594.\nAnswer: 94195.85594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (7 - 4 - -4) + (-13 - 2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 51774.14592 to the nearest 10.\nAnswer: 51770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9065*t**2 + 1542*t + 128931371 with respect to t.\nAnswer: -18130*t + 1542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0717413 to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -83 * 137389.\nAnswer: -11403287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2856 = -106*j - 76*j - 294*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/7 + -1 - 18957\/(-21). Let x = o + -316. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 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: Let f(u) = -2*u**2 + 9*u + 40. Determine f(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -628 + 628. What is the closest to -0.1 in g, 0.5, 1.63?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 230 divide 1242460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8832.567 months to centuries.\nAnswer: 7.3604725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a. Let t be h(5). Suppose t = 4*n - 0. Suppose -4*d - 18 = -o, -d = -n*o + d + 36. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 121363 - 24272499\/200. Find the common denominator of f and 62\/115.\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**2 - 2. Let a(o) be the first derivative of -o**4\/12 + 41*o - 61. Let d(p) be the first derivative of a(p). Give d(m(q)).\nAnswer: -4*q**4 + 8*q**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 1:46 AM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-6))\/(50\/40).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2943\/18)\/(((-36)\/81)\/(144\/486)).\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*l - 3*l - 8*l + 0*l to the form q*l + h and give q.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -7*m**2 - 109*m - 1125. Determine t(-11).\nAnswer: -773","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 597182450 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -1133*j + 18. Is v(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1017*u + 393*u + 90 - 118 + 998*u + 28.\nAnswer: 2408*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 339.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -736, -1634, -2544, -3472, -4424, -5406, -6424?\n\"Answer: -c**3 - 891*c + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9077, 17531, 25359, 32561, 39137, 45087?\n\"Answer: -313*x**2 + 9393*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - 48 - (-343 - -285).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 9, 1\/5, 1, -0.3, 8?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -3\/5, 0, -24, -0.8 in ascending order.\nAnswer: -24, -0.8, -3\/5, 0, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 6. Let m = 6.00000035 - d. Round m to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-11616)\/10*(-5)\/(-7). Let a = s + 1653\/2. Calculate the common denominator of a and (-94)\/40*-1 - 6\/12.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8535655?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0\/2)\/(-2 + -1). Suppose 4*x - 2*w + 12 = 0, f = -0*x - 5*x + w - 9. Put -2, x, 1 in decreasing order.\nAnswer: 1, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2 + (sqrt(72)\/sqrt(3))\/sqrt(12) + 3.\nAnswer: sqrt(2) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/18)\/(((-70)\/(-10))\/(-28)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 5*m**2 - 24*m + 10. Let l be w(5). Factor 3*p - l*p**3 + 34*p**3 - 4*p**3 + 0*p + 2*p - 5*p**4 - 15*p**2.\nAnswer: -5*p*(p - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 + 0.5. Let m be (-2)\/4 - (531\/(-54) - 7). Let x = 17 - m. Which is the nearest to 0.1? (a) 0.5 (b) k (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kikiwkii. What is prob of sequence ki?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 + 261 + 6 + -11 is divided by ((-132)\/14)\/((-1)\/7) - 0?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/16 (b) -0.06 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 3*h = -24. What is the remainder when 59 is divided by (30\/h)\/(2\/(-8))?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 345 divide 108839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -18960 divided by -158?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 3*r + 8 = 0, -8 = -4*c + 2*r - 4*r. Suppose -5*d - 170 = 3*i - 410, 3*d + c*i = 144. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26674 (base 9) to base 6\nAnswer: 215321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -7*o - 6. Let a(d) be the second derivative of d**3 + 5*d**2\/2 - 14*d. What is -6*a(r) - 5*x(r)?\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5062 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -241 + 369. Let q = m + -92. What is the smallest common multiple of 12 and q?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - 9*n + 78. Let v be 10\/(-55) + 10921\/(-737). Determine w(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-47)\/((-2256)\/72))\/(-2*(-747)\/(-24))?\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -165 - -202. What is the highest common factor of o and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z - 1. Let d = -22 - -25. Let t(c) = 21*c - 24. Let b(s) = d*t(s) - 72*g(s). Let f(x) = 0*x**2 - 3*x**2 + 2*x**2. Determine f(b(n)).\nAnswer: -81*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2 - 280216*k - 3642977.\nAnswer: (k - 280229)*(k + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is o in o**5\/4 + 125*o**4\/4 - 4185*o**3\/4 + 15075*o**2\/4 - 2754*o = 0?\nAnswer: -153, 0, 1, 3, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36971 and 22?\nAnswer: 73942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/(-27))\/((-8)\/(-6))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3\/(-1) + (-1150)\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 10 = -68*u + 72*u, -4*u + 3*v - 6 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2208 divided by -45924.\nAnswer: 184\/3827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**3 - 23*y**2 - 14*y - 33. Let p be x(-11). Suppose p = 11*u + 435 - 1821. Is u a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 91 and 39?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rerereeyyr. Give prob of picking 2 e and 1 y.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/175*-5)\/(14\/5)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y**2 + 4*y**2 + 0*y**2)*(922 - 458 - 77*y - 462)*(-4 + 4 - 2) + (-6 + 1 + 3)*(9 + 5*y**3 - 9).\nAnswer: -164*y**3 + 4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 45.7 + 1787\nAnswer: 1832.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 328, 305, 338, 487, 812, 1373?\n\"Answer: 10*a**3 - 32*a**2 + 3*a + 347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 - ((36 - 2) + -104).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) 2 (c) 16\/1625 (d) -2\/3 (e) 2\/35 (f) 0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 58 (b) -0.03 (c) 0.2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -14, -0.1, 4, 0.05 in descending order.\nAnswer: 4, 0.05, -0.1, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53521 is divided by 17795?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6818 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/36 - (4 - 3)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 622658076?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*2\/(-168)*10*-1?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 105.7 - 101. Let s = 5 - a. What is the biggest value in -1\/2, s, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 320*p = 75*p + 4655 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 2. Suppose 0 = 2*d - 8 - q. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1545 (base 7) to base 16.\nAnswer: -26d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -152644*k + 1068535. Calculate r(7).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38 + 194\/5. Let a be 55\/(-60) + (-2)\/(-12). What is the third biggest value in -36, a, 0.2, o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 11944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23*y**6 + 3*y**3 + 295*y**2 - y.\nAnswer: -2760*y**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(4\/11))**27 assuming s is positive.\nAnswer: s**(108\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 3)*21\/6. Let l(g) = g**2 - 3*g - 10. What are the prime factors of l(q)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*v**2 - 18*v**2 + 7*v**2 to a*v**2 + j*v + b and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1678, 3471, 5276, 7099, 8946?\n\"Answer: c**3 + 1786*c - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o + 26. Give r(-7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - 525?\nAnswer: -52a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 1702 + 1234. Let n = 5841 + f. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 846423 by 23.\nAnswer: 36801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/12 + 49\/4. Let v = -1 + 6. Let y be (-20)\/(-5)*(-1)\/(-2). Solve y = -v*x + g for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -207.2 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 357421 to the power of 1\/4, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 539441 is divided by 176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millisecond in microseconds?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -120250 - 213197. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5*k - 9 = 5*i, 5*i + k = -27. Let r(z) = z**3 + 3*z**2 - 8*z - 7. Determine r(i).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + (0 - -1) + 0. Let t = g + 5. What is the second derivative of 5*s**5 + 0*s**4 + 7*s**4 + 5*s - 7*s**t wrt s?\nAnswer: 100*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209955 = 18*s - 3*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 + -27 + 17 + -12.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1457\/10 + -4051\/30. Factor 0 - 2\/3*b**3 - i*b + 16\/3*b**2.\nAnswer: -2*b*(b - 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/r**(2\/7)*r)\/(r**(-32)*r)*r**(2\/17)*r\/(r\/(r\/r**(-24\/11))*r) assuming r is positive.\nAnswer: r**(47142\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 - 7*f + 12. Let a be g(-8). Put a, 2, -5, 5 in descending order.\nAnswer: 5, a, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2483, 8673, 18983, 33407, 51939, 74573, 101303?\nAnswer: 132123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7457?\nAnswer: 7457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 q when three letters picked without replacement from {f: 2, l: 7, z: 2, g: 1, o: 1, q: 4}?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ofq when three letters picked without replacement from {q: 5, o: 4, p: 10, f: 1}?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 54 + -27. Calculate the remainder when 62 is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1432\/33 - 18571\/429. Calculate the common denominator of j and 51\/44.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.224 + -1.106. Let t = r - -1.6. Let j = t + -0.2695. What is j rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 48\/5 of a microgram?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 6*f**2 + 43*f + 42. Let c be g(-1). Solve -4*y = 4*r - 7 + 3, -c*y = -4*r + 40 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -f + 2*f. Suppose a = -5*a + 18. Suppose 4*w - 103 = 5*t, 2*t = -5*w + a*t + 155. What is the remainder when w is divided by f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38902 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2279?\nAnswer: 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 934826?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 221 and 793.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 220*h + 403. Is d(19) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3 or 26690?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.9 at least as big as -17.48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2439 and 164226?\nAnswer: 813","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*v**2 + 62575*v - 240992 wrt v?\nAnswer: -4*v + 62575","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 0)*(-5*z + 0*z + 6*z).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 58747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16 - (-2 - 13)) + 5003\/5010. Are 0 and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - 11*j - 20. Determine z(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(7\/2)*m*m*m\/((m**(-5)*m*m)\/m)*(m\/(m\/m**(-2)))\/(m\/m**(-3)*m))**(-27) assuming m is positive.\nAnswer: m**(-189\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29.7 - -29.6728. What is u rounded to three dps?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -0*r + 15, 0 = -4*x + 4*r + 4884. Let y be 9\/(x\/16) + (-1016)\/(-34). Suppose -y = v - 6*v. Solve v*l - 5*l + 4 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -7*l + 160. Let k be p(22). Put k, -5, 0, -3 in descending order.\nAnswer: k, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 44161 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 5 = -5*s, -2*s = -0*p - 4*p + 28. What is the hundreds digit of ((-4)\/((-8)\/p))\/((-9)\/(-1296))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 249500734 to the nearest integer?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q + 5*q + 3*l - 15, -2*q - 3*q - 4*l = 17 - 27 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*d**2 - 34*d**2 + 73*d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 36 + 27. Let q be s\/35 + (-28)\/(-5). Suppose q*p - 2*a + 0*a = 81, 2*p + 5*a = 44. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -5*u**2 - 3*u - 1. Let g(k) = k**2 + k + 1. Calculate 4*g(x) + z(x).\nAnswer: -x**2 + x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, g: 2}. What is prob of picking 2 g?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y + 23. Let k be q(21). Let r(s) = 21*s**2 - 36*s**k + 17*s**2. Let w(l) = -87*l**2. Determine w(r(j)).\nAnswer: -348*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2162695849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.939599 weeks to nanoseconds.\nAnswer: 3592269475200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -7*z**2 + 202*z - 354. Give a(27).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1987.5315 + -3219.601. Let m = -987.07061 - o. Let v = 245 - m. What is v rounded to four decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/13 + 212*i**2\/13 - 880*i\/13.\nAnswer: 2*i*(i - 4)*(i + 110)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5643\/198*2\/(-3) - 2\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 156940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.3 - -6. Let i = n - 3.7. What is the closest to 0 in i, 1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 5) to base 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10 - 12 + 19*s - 12*s**3 - 20*s wrt s?\nAnswer: -36*s**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -8\/5625653 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 47510731 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**2 - x**2 - 3*x**2 + 2*x - 578 - 2*x**2.\nAnswer: -2*x**2 + 2*x - 578","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6253373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 7 = 1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 8:18 PM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 6*b - b**2 - 2 - 1 + 7. Suppose -548 = 130*y - 134*y. Let h = y - 131. What is v(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9606 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, p: 9, k: 6}. Give prob of sequence kp.\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 20*c - 10. Give l(19).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 5:21 AM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 0)\/(3\/6). Let z(l) = l**3 - 5*l**2 + 6*l - 6. Let c be z(k). Solve -5*x = -c*x - 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2. Suppose 15 = -3*c - 6. Let d be (-1)\/3*(c + 4). Let q(v) = -1 + 533*v - 505*v + d - v**2. Give z(q(p)).\nAnswer: -p**4 + 56*p**3 - 784*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 18 (b) -2 (c) -5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/5 - 631*a**2\/5 + 46911*a\/5 + 474039\/5.\nAnswer: (a - 543)*(a - 97)*(a + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/55? (a) 2\/7 (b) -53 (c) 3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6531 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of -5*z**4\/24 - z**3\/6 + 2*z**2. Let n = 578 + -239. Suppose -347*r = -n*r - 24. Determine x(r).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -1420*h + 2845*h + 150 - 5*h**2 - 1426*h + h**3 + 5*h**2. What is w(0)?\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 - 5*l - 3. Determine j(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, s: 9, w: 1, n: 8}. Give prob of picking 3 n.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**16*o\/(o*o*o*o*o*o\/o**(-5)) assuming o is positive.\nAnswer: o**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 9 = -a, 5*s - 714 = 2*a. Calculate the greatest common divisor of s and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13129242?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*p**2 - 44*p**2 - 16*p + 5*p**2 - 3 - 12*p**2 - 3*p**2 to u*p + k + w*p**2 and give w.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*y - 9348 = -60*y for y.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of 691*z**4\/3 - 6353*z**3\/6 + 17*z**2 - 32*z. Find the first derivative of o(f) wrt f.\nAnswer: 5528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 + 423 = -23*y + 89 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 54639341 to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -77 - (253 + -64 - 116)?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of 0 + 0*o**4 - 1\/42*o**7 - 3*o**2 - 1\/10*o**6 + 0*o - 1\/15*o**5 + 0*o**3. Find t, given that s(t) = 0.\nAnswer: -2, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*z - q, -z + 2*z - 2*q - 7 = 0. Solve 5 + 0 = z*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 7 - 8 - 11*t**2 - 10.\nAnswer: -11*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 6, 0.1, 1, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2019.669 to the nearest integer.\nAnswer: -2020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13494 - -13498. Which is the closest to -0.1? (a) 1 (b) -1370 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2111 is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from iibvvvzvvivbizvv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -3*t**3\/8 + 3819*t**2\/8 + 420831*t\/2 + 626940 = 0.\nAnswer: -344, -3, 1620","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*(-4)\/360*10*(279\/(-540))\/31.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 - -11. Let k be 1\/(-2 + o)*3. Let n = 7 - k. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5115940?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30426 = 4*f - 2*x, -f = 2*x - 6535 - 1074. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2174505*c**3*h - 4*c**3 + 43664323*c**2*h wrt c?\nAnswer: -13047030*h - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**4 + 34*i**3 - 253*i**2 - 612*i - 324 = 0.\nAnswer: -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2)*t**4)\/((t\/(t*t**(-4)\/t)*t)\/(t**6\/t)))**(2\/15) assuming t is positive.\nAnswer: t**(2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1392\/13, -0.2, -434\/23, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 210, 1028, 2974, 6618, 12530, 21280, 33438?\nAnswer: 49574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((1*sqrt(686) + sqrt(686))*-4)\/((sqrt(7)*-1 - sqrt(7))*2 + sqrt(7) + sqrt(7) - sqrt(252)*1))**2 + -5 + -1.\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -591, -2437, -5513, -9819, -15355, -22121, -30117?\n\"Answer: -615*j**2 - j + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -72727*w + 3709070. Give y(51).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -865*q**7\/14 + 514*q**3\/3 - 2631*q. Find the second derivative of h(d) wrt d.\nAnswer: -51900*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*p**3 - 6 + 10 - p - 4 wrt p.\nAnswer: -66*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 38574611 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -8, 4, -302, 6 in decreasing order.\nAnswer: 6, 4, -3, -8, -302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 0.07, 10\/7 in decreasing order.\nAnswer: 10\/7, 3\/5, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 102895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 510 divided by -6\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 26816.9.\nAnswer: 13408.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005616627 to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kp when two letters picked without replacement from {u: 5, p: 1, k: 1, a: 3, e: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 242867740?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -19*v**2 + 21*v - 234. Let c(i) = -34*i**2 + 42*i - 467. Let t(r) = -11*b(r) + 6*c(r). What is the derivative of t(m) wrt m?\nAnswer: 10*m + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -9437 + 9487.99. Let q = 0.01 + p. Which is bigger: 0.2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 614729?\nAnswer: 614729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33687.\nAnswer: 3, 19, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4107.1 - -4107. Sort -0.4, -156, 3, u in increasing order.\nAnswer: -156, -0.4, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -83 + 82. Is 4*(-11)\/(-2)*(-1)\/b a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8 or -44?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -118\/5*b - 69 - 1\/5*b**2.\nAnswer: -(b + 3)*(b + 115)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*c**4 - 16165*c**3 - 3*c + 2827324?\nAnswer: -228*c**2 - 96990*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 2) in base 6?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -t**5 + 54*t**3 - 194*t**2.\nAnswer: -60*t**2 + 324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 468\/910 - (-1 + 5\/7). Factor d*u**2 - 2\/5*u**3 + 6\/5*u + 0.\nAnswer: -2*u*(u - 3)*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 32675, 32670, 32663, 32654?\n\"Answer: -f**2 - 2*f + 32678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/436 and 23\/57552.\nAnswer: 57552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 149 or 196?\nAnswer: 149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -104130401424?\nAnswer: -104130401430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -1 - (-7 + 17 + -29 + 12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-1 - (-51)\/45). Let g(l) = -l**3 + 16*l**2 + 7*l - 13. Is g(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7800775 to the nearest integer?\nAnswer: 2793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -310 + 1539\/5. What is the common denominator of -48\/37 and p?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/6)\/((-2)\/15)*1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 15 = 5*w, 4*w + 0*w = -12. Suppose 0 = -d - 4*z - 2564, -4*z + 1 - 5 = o. Let h be d\/56 - 4\/14. Which is greater: -47 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00335 rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42 + 39. What is the tens digit of (-75)\/(-20)*(-16)\/z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*t - 73*t - 143 = 0. What are the prime factors of t?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-15))**7\/(b**2)**0 assuming b is positive.\nAnswer: b**112","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8865892 and 132916.\nAnswer: 1316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -269 + 1404. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2 + 12080*q + 9120400.\nAnswer: 4*(q + 1510)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b + 39. Let i be j(19). Let p be (4 - 4) + 35 + i. Let u = p - -32. What are the prime factors of u?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -484 + 612. What is the highest common divisor of t and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 9*y**2 - 3*y - 1. What is the remainder when 6936\/45 - ((-32)\/(-30))\/8 is divided by d(8)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 9*h + 4. Calculate n(-4).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -3*o - 31, 0 = 2*r + 2*r - 5*o - 41 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -68, 3888, -920 in decreasing order.\nAnswer: 3888, -68, -920","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 5*t = 20, 4 = -0*t + t for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23795871461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1186064, 1186066, 1186068, 1186070?\n\"Answer: 2*s + 1186062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmnnmmmnnm. Give prob of sequence mmmm.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -5956, -11637, -17318, -22999, -28680, -34361?\n\"Answer: -5681*k - 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.3? (a) 2\/225 (b) 2\/21 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*2*(sqrt(12) - (sqrt(12) + sqrt(36)\/(sqrt(12)\/sqrt(4)) + sqrt(12)))\/((sqrt(6)*-2 - sqrt(6))*1).\nAnswer: -20*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 h when four letters picked without replacement from {k: 1, a: 1, h: 3, e: 1, q: 5}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (18\/27)\/((10\/(-24))\/(-1)). Is g <= 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (124\/2)\/2 - 1. Suppose -w + 6*w - g = 0. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36407 + 36409. What is a in -2*a + 1\/2 + h*a**3 - 2*a**4 + 3\/2*a**2 = 0?\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 6850, 170, -4 in decreasing order.\nAnswer: 6850, 170, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 16 = 60*n - 62*n, -3*m + 0*n = 5*n - 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/685 and 121\/30610.\nAnswer: 4193570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 - 4*u**3 + 3*u**3)*(2 - 2 - u)*(10 + 7 - 1)*(3 + u - 3).\nAnswer: 16*u**5 + 64*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258*q + 363*q = -621 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -5) + -3 + (1 - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in -145, -2.15, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6\/(10 + 2712\/(-273)) and 1339?\nAnswer: 9373","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63989475 to the power of 1\/2, to the nearest integer?\nAnswer: 7999","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 - -16.16. Put -0.1, i, 3\/7 in decreasing order.\nAnswer: 3\/7, i, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-30))\/(138\/(-30) + 5)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 4*i. Let o(w) = 27*w**2 + 2*w - 1. Let r be o(1). Suppose r = -i*l + 2*l. Calculate the remainder when 26 is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 3*b + 214 = -7*b, 0 = 3*l + 5*b - 121. Is 14 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -258261252993*x**2 - x**3 + 258261252993*x**2.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h - 8*h + 8*h. Let d(w) = -52*w + 2. Determine z(d(u)).\nAnswer: -104*u + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 p when four letters picked without replacement from tppttpptpt?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 169843*r**3 + r**2 - 2*r + 1220264 with respect to r.\nAnswer: 509529*r**2 + 2*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4104?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2884050 divided by -87.\nAnswer: -33150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -21 - 584\/(-24) - (-73)\/(-3)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12 - 3\/6*4. Suppose 14 = 2*l - q. Solve 2*g - 2*z - l = 0, -2*g = -4*g - z + 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 115651?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 15) to base 11\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/3 + 476743*b\/3 + 476744\/3.\nAnswer: -(b - 476744)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16856, -33456, -50056?\nAnswer: -66656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 2:03 AM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 69*d + 21. Let a(l) = -13*l - 4. Let q(o) = -11*a(o) - 2*m(o). What is q(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1290*d**2 - 5*d**3 - d**4 - 645*d**2 + 10*d + 1 - 645*d**2 to the form l*d**2 + b*d + h + m*d**4 + p*d**3 and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*h*u*z**2 + h*u*z + h*z**2 + 6058*h*z + 2*h + 4638*u*z**2 - 2*u + 2*z wrt z?\nAnswer: 14*h*u + 2*h + 9276*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 0 + 1)*2 - ((-61050)\/(-200))\/(-111)?\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 + 9435031.98892?\nAnswer: 9435031.97892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 11508*w**3 - 11*w**2 - 4*w + 16. List the prime factors of r(1).\nAnswer: 17, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (9 - -110) + (4 - 3) and 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/3, -4, 3, 0.193, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.85 + 2.83552. What is l rounded to 3 dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32.11 + 32.61. What is the fourth smallest value in b, 3, -4, -2, 2\/19?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -690038\nAnswer: 2070114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 55 = 105. Let v be ((-9)\/6)\/(15\/a). Suppose 0 = 4*k - 2*l - 96, -k + v*l - 3 = -13. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -1084?\nAnswer: -1\/1084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*u - 15 = -138*u, -9 = -t + u. Solve -t*i + 3*d + 2 = -21, 4*i - d - 13 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 210042951?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of 1\/6*n**5 + 0 + 0*n + 11\/6*n**3 + 16*n**2 + 0*n**4. Differentiate u(c) with respect to c.\nAnswer: 20*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -61 + 61. List the prime factors of g + (-6)\/4*-2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 20\/4 + (3 - 2). Suppose 2*f - 5*t - 24 = 0, -2*f - 2*t = -f + 6. What are the prime factors of 2 - (f - x\/2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*j**2 + 19*j**2 - 2 + 18*j**3 - 153*j**3 - 102*j**3.\nAnswer: -237*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108\/(-1)*12\/(-4)*(-416)\/(-1872).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9709 + -8832. What is the remainder when m is divided by 225?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 34*t**2 + 3*t. Let o be k(-2). Suppose -n - o = 20. Round n to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 450 + -379. Suppose -51112 = -79*t + z*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 4:30 PM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = f + 26, x + 6146 = 4*f + 6205 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 8:15 AM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 25330010?\nAnswer: 50660020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25341?\nAnswer: 3, 8447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 30 = 3*z, 0 = 5*z + o - 4*o - 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 6022*j + 295052. What is s(-49)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2840 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 100 (base 2) to base 13\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -77142*i**4*m**3 - 2*i**2*m**3 + 3*i**2*m + 206*i*m**2 + 2*m**3 wrt i.\nAnswer: -1851408*i*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 76 - 45. Let n(u) = 3*u + 17. Let j be n(15). What is the greatest common divisor of j and p?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -2) + -14 + 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 236, 811, 1\/8, 1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r + 11. Let z be c(5). Solve -z - 7 = -4*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**3 - 3*x**2 + 10*x. Let v = -2355 - -2352. What is n(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/125118 and 2\/14175.\nAnswer: 9383850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 2*m + 1. Let i(w) = -35*w**3 + 40*w**2 - 80*w + 40. Calculate 5*i(d) - 200*j(d).\nAnswer: -175*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 3)*(-2 - o + 2)*(-14 + 38 + 21 + (3 - 1 - 3)*(6 - 1 - 3)).\nAnswer: -86*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 79 + 56 - 181 - 10876*u + 46 in the form i + k*u and give k.\nAnswer: -10876","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -182\/5 or -36?\nAnswer: -182\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21761377, -43522756, -65284135, -87045514, -108806893?\nAnswer: -130568272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 8:52 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) + -1 + -3 + 3*(-2 + sqrt(931) - sqrt(931)) - (1*sqrt(931)*3 + -6*(-1 + sqrt(931))))**2.\nAnswer: -896*sqrt(19) + 15152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 208829*y**4 + 147173.\nAnswer: 835316*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -23371 (base 11) in base 13?\nAnswer: -12467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**3 - 3120*k**2 - 148185*k + 818300.\nAnswer: 5*(k - 668)*(k - 5)*(k + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, u: 1, p: 6, e: 1, q: 1}. Give prob of sequence pemm.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -80 and 21.\nAnswer: -1680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 + -12. Suppose -4*p + 0*p + 3*f = -q, -2*p + 4*f - 6 = 0. 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 nearest to -31 in -2\/35, -0.1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -1. Suppose -u = u - 4. Let h(c) be the second derivative of -c**3\/6 + 2*c**2 - 31*c. Let d = 3 + -2. Calculate d*h(i) + u*y(i).\nAnswer: -i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1066444.\nAnswer: 2, 17, 15683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7572?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -8, 0.2, -2.584, 9, 2?\nAnswer: -2.584","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -6*(2 + sqrt(1700) + -4 - sqrt(1700)*-3*-1))*-6.\nAnswer: -720*sqrt(17) - 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3 - -27)*152\/20.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 11\/(66\/(-270)) - -6. What is the third smallest value in 1\/3, v, -0.3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -10 + 4 + 4 + 9 + 4.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 274 + 27*a**2 + 277 - 551 + 11*a**2.\nAnswer: 38*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88196 is divided by 2756?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 282*w + 272*w - 830*w + 275*w. Let g(u) = 11*u - 1. Give -g(r) + 6*o(r).\nAnswer: -17*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -11*p. Let f be u(-7). Let z = -76 + f. Suppose -5*l - 5*n = -45, -l + 3*n - 7 = l. Sort l, z, -1 in decreasing order.\nAnswer: l, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*h - 2 + 10*h**2 + 8*h)*(0*h + h + 0*h).\nAnswer: 10*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-216)\/64)\/(-9) - (-36)\/32. Solve k*c + 1 + 1\/2*c**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 269864742?\nAnswer: 2, 3, 7, 6425351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 2*g = -4*b + 4974, -5*g + 4981 = 4*b. Does 15 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4951?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3058 and 367794.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28386 and 2455389?\nAnswer: 4910778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1050 + -1050.5. Which is the nearest to 0? (a) r (b) -5 (c) 2.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 78 + -65. Calculate the remainder when (-2 - 1)\/((-9)\/66) is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1350404 (base 6) in base 8?\nAnswer: -225504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1164*m**2 - 2202*m**2 + 11*m - 11*m.\nAnswer: -3366*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 5*i - 67, 2*l - 3*i = 7*l + 158. Let j = l - -46. Does 5 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -216 - -12?\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1257.1 + 1254.1. Sort -56, 0, -5\/2, q.\nAnswer: -56, q, -5\/2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 5*w + w + 20, 2*w - 58 = 5*i. Let r = i + 15. What is the first derivative of -1 - 2 - 5*m**2 - r + 2 wrt m?\nAnswer: -10*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-12)*1*-298 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 117, 119, 111, 87, 41, -33?\n\"Answer: -h**3 + h**2 + 6*h + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 325140 and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 450?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30655304 is divided by 6183?\nAnswer: 6173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 126 + -124. Suppose 865 = 4*r + 5*l, -2*l = -z*r + r + 213. Calculate the greatest common divisor of r and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.4 + -2. Let d = c - 0.2. Suppose -4*h = -6*h - 4. What is the closest to d in -4, 0.2, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8817958 to 3 dps.\nAnswer: 0.882","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**2 - 4. Let c be t(-3). Let r be (c + -11)*(-4)\/(-2). Is ((-249)\/r)\/(1\/(-2)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1020104424 (base 5) to base 16.\nAnswer: -203e5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 6*o**2 - 5*o + 33. What is z(3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, m: 1, o: 2}. Give prob of sequence eo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -1100?\nAnswer: -1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 706*i*s*v**2 + i*v**2 + 3*i - v with respect to s.\nAnswer: 706*i*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.86997 rounded to 3 dps?\nAnswer: -1.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 14*f**3 + 9*f**2 + 10*f - 12. What is the hundreds digit of s(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-seven halves of a litre?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.314 + -0.114. Which is the closest to 1.4? (a) m (b) -5 (c) 0.4 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34116*p + 5770 = -34940*p + 47794 for p.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 283635 - 567271\/2. Let k = 0.25 + 0.05. Let p = k - 0.5. Sort -2, x, p, -12.\nAnswer: -12, -2, x, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 643627.\nAnswer: 239, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/7 + 192723504*t\/7.\nAnswer: -2*t*(t - 96361752)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7.421026mm?\nAnswer: 7421.026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -602*i**3 - 3 - 14 + 308*i**2 - 14*i**2 + 384*i**4 + 17 - 72*i**5.\nAnswer: -2*i**2*(i - 3)*(6*i - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 5*b + 4*t, -3*b + 0*b + 2*t = 0. Suppose -b*c = 3*i + 200, 5*c + 4*i + 400 = c. Let w = c + 183. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 divided by 22\nAnswer: 13\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) 0.5 (b) -5 (c) -2\/6915\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10437 - 67781715742?\nAnswer: -67781705305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4057*b*s**3*t - 13*b*s**2 + 103*b - 23*s - 17*t wrt s?\nAnswer: 24342*b*s*t - 26*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13961*j + 1990*j**2 + 13957*j - 27919*j to l*j + h*j**2 + r and give h.\nAnswer: 1990","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2500390 and 5000780.\nAnswer: 5000780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 8*h**2 + 8*h - 10. Let t be b(4). Suppose -t = 4*a + 46. Let f = a - -113. Calculate the remainder when f is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4\/5, 0.04, -4?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 774 is divided by 151?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 divided by 339.\nAnswer: 16\/339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -5*o - 3. Let w be t(-2). Suppose 5*q - 3*c - 317 = q, -5*q = -2*c - 391. Calculate the greatest common divisor of q and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(-5)*u**(-3)*u*(u**(1\/2))**(-49) assuming u is positive.\nAnswer: u**(-61\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a. Let f = -146 + 146. Let j(w) be the third derivative of 0*w**3 + 5*w**2 + f*w**4 + 0*w + 0 - 3\/20*w**5. Determine o(j(l)).\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -3 (b) 0.2 (c) 0.122\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*138\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/8*(-2)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2001100022100 (base 3) to base 6.\nAnswer: 35203143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 0.5, 14 in decreasing order.\nAnswer: 14, 2, 1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 47 = -59. Let h be ((-18)\/d)\/((-1)\/32). What is h rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (13 + -5)) + (6 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11424 divided by -48\nAnswer: -238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 45*f**2 - 84*f - 90. Determine w(43).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 149221 divided by -84?\nAnswer: -149221\/84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m - 9. Let b(s) = 9*s - 302. Determine b(v) - 3*d(v).\nAnswer: 3*v - 275","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of -n**5\/40 - n**4\/24 + n**3\/2 + 15*n + 3. Find v, given that j(v) = 0.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*h = 48*h. Let x(v) = 5*v**2 + 3. Let k(y) = -y**2 - 3*y + 6. Let a be k(-5). Let g(o) = -6*o**2 - 2. Let l(m) = a*g(m) - 5*x(m). Calculate l(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 8 - (-11 - -8)) + 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 366985?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 4*p**2 - 2*p - 5. Let c be t(-4). Suppose -39 = -c*u + 6. List the prime factors of u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, -5, -606, -3 in decreasing order.\nAnswer: -2, -3, -4, -5, -606","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/8262 and 127\/204?\nAnswer: 16524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69469*-0.02.\nAnswer: 1389.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*j = -103, -5*m - 37*j + 40*j + 171 = 0. Suppose -23 = x + 5*p, -2*p - 46 = -0*x + 2*x. Let t = m + x. Solve 0 = 5*d - 10 - t for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 2 + (-3 - 12).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4063219 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1.6762+0.1\nAnswer: -1.5762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 1 + (-14)\/(-77). Let f(l) = -l - 2. Let g be f(4). Let r(o) = 15*o + 86. Let q be r(g). Which is the smallest value? (a) -5 (b) t (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13503 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-1*sqrt(1053)*-1 - 3*(sqrt(1053) + -1)) + 4).\nAnswer: -90*sqrt(13) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-5))\/((704\/(-80))\/(-22))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 3*w - 0*r - 1, 3*w - 4*r = 25. Suppose 0*g - 3*g + w*t - 21 = 0, 5*g = -5*t - 85. Let s be (-2)\/8 - g\/(-144). Which is bigger: s or -12?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/9, 0.72, 3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5507, -11113, -16719, -22325, -27931, -33537?\nAnswer: -39143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/2*(-2)\/3. Sort n, 5, 8, -2 in descending order.\nAnswer: 8, 5, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 10*v**2 - 12*v + 14. Let w be a(11). Suppose -1\/2*r**w + 0*r**2 + 2*r**4 + 0 + 0*r - 3\/2*r**5 = 0. Calculate r.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3 + 858048422*l**2 + 92030886383062048*l - 92030887241110472.\nAnswer: 2*(l - 1)*(l + 214512106)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22)\/(-5))\/(790\/(-3950))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*j - r, 35*j - 32*j + 3 = 5*r. Solve -2*i + 5 = -2*b + b, -25 = -3*b - j*i for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1525, -1489, -1453, -1417?\nAnswer: -1381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.34, 9, 2\/23, -5.\nAnswer: -5, 2\/23, 0.3, 0.34, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(2187) + -2)*2 - sqrt(2187)).\nAnswer: -7 + 27*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39661400 by -124.\nAnswer: -319850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 368 + -211. What is the remainder when d is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 286*w**3 - 13*w**2 - 13*w + 13. Let a(j) = -48*j**3 + 2*j**2 + 2*j - 2. Calculate -13*a(i) - 2*z(i).\nAnswer: 52*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 55*f**3*i**3 - 2*f**3*i**2 + 165*f**3 + 3*i**3 - i wrt i.\nAnswer: 330*f**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21340547 or -21340542?\nAnswer: -21340542","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1473 = -31*b - 1132 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 2*n. Let k = -5 - n. Let j be ((-24)\/20)\/((-4)\/(-10)). What is the closest to 1 in j, 2\/3, k?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 602593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 421815 and 40260?\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**3 + v**2 + 3*v - 1. Let x be s(2). Suppose 0 = 5*n - x, -5*c + 4*n + 180 = -c. Is c a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 9 = y - 0*y, -3*f + 24 = -5*y for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -7*k**5\/20 + k**4\/12 + k**3\/6 - 91*k. Calculate s(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3*j**2 + 0 - j + 5 - 7*j + j + j**3. Let a = -124 + 128. Give u(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1350*z**3 + 94115*z**2 - 1626800*z - 471625.\nAnswer: -5*(z - 35)**2*(270*z + 77)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(156)\/(1*sqrt(12)) + (2 + sqrt(1300) - sqrt(1300))))**2.\nAnswer: 100*sqrt(13) + 425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 5)\/(1\/(-1)). Let m(i) = 11*i + 147. Let t be m(-13). Suppose 2 = -2*q + t*a, 5*q - a + 2*a = s. Solve -l = 4 + q for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(-10) + (-2)\/4. Suppose 431 = 4*s - 2*l - 185, 4*s + 3*l - 616 = a. What are the prime factors of s?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*a - 4*i = 15*a + 16, 178*i - 1 = a + 177*i for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/19*p**3 + 0*p + 0 - 2\/19*p**2 - 2\/19*p**4.\nAnswer: -2*p**2*(p + 1)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 58 - 90 = -2*d, 3*d - r - 222 = 0. Suppose -b + d = 9. Suppose b = 3*m - 10. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/56135081 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 168*v**2. Let k(r) = 2*r. Calculate k(n(m)).\nAnswer: 336*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = i + 2. Suppose -5*h = -0*h + i*n - 42, 3*h + n = 26. Find the common denominator of 79\/6 and 0 + (-101)\/h - -1.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cccg when four letters picked without replacement from {c: 7, g: 2}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/(-52) + 46\/(-382720)*3488.\nAnswer: 7\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14065.1 - 14065. What is the biggest value in -2, -1.6, -1\/2, -0.4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-149 - 127 - 114)*(-t - 3*t + 10*t)*(5 + 3 - 4)*(2*t + t**4 - 2*t).\nAnswer: -9360*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qgffgftqf. What is prob of sequence fg?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-18) + (-3)\/(18\/(-5290)). Let s = o + -456. Is 32\/12*s - (-3 + 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -4126362\nAnswer: -1\/2063181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/5)\/(1*(19\/(-2))\/(-19)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, q: 1, k: 5, t: 2}. Give prob of picking 1 t, 1 q, and 1 k.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -668679 at most -668680?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**5\/7 + 8*y**4\/7 - 90*y**3\/7 = 0.\nAnswer: -9, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 24766 (base 10) in base 12?\nAnswer: 123ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of -i**6\/60 + 7*i**5\/4 - 431*i**4\/8 + 595*i**3\/3 - 289*i**2 + 2*i. Factor c(b).\nAnswer: -(b - 34)**2*(b - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6454 - 6445.001. Let x = k - 9. Round x to 4 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/13, 103, -0.1, 3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3*z = -g + 54, 88 = 4*g - 4*z. Suppose -23*t + g*t + 15 = 0. Suppose -349980 = 5*l - 4*r, -t*r - 9 = 16. Round l to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11222222 + 21002020?\nAnswer: 110002012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/(-28))\/(40\/42)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 5*k - 18028, 0 = -72*x + 69*x - 2*k + 13514. What is the hundreds digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241*r = -3858 + 966 for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rppr when four letters picked without replacement from {p: 9, r: 3}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hggglghlzgggzglghg. Give prob of sequence ghhh.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*j**3 + 63*j**3 + 6*j**3)*(2*j**2 + 2*j - 2*j) + (j**4 - 1 + 1)*(-2 + 2 - 2*j).\nAnswer: 182*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13.179792 - -3.279745. Let h = -9.9 - g. What is h rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10111011000010010 (base 2) to base 16.\nAnswer: -17612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -314 by -9828.\nAnswer: 157\/4914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1984\/(-72))\/(-4) - -1*(-4)\/(-36)) + -60.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mgeig. Give prob of picking 2 g and 1 m.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 - 5) + 2*-4. Let r(m) = -2*m**2 - 20*m - 14. Calculate the remainder when r(a) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*g**2 + 3*g**2 - g**2)*(-223*g - 205*g + 470*g) as u + n*g**2 + j*g + c*g**3 and give c.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -63.7 - -65.7. Sort x, -0.5, 1\/3 in decreasing order.\nAnswer: x, 1\/3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -9. Sort 1, l, 11 in descending order.\nAnswer: 11, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20\/9*n - 2\/9*n**4 + 4\/3*n**3 + 0 - 2\/3*n**2 = 0. What is n?\nAnswer: -1, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5023864 and 1.\nAnswer: 5023864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 292744 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppppappppppppppp. What is prob of picking 3 p?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7669444571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 4*s - 178876, 1270*t + 5*s - 223525 = 1265*t. Is t a multiple of 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.17 - 41.63. Let v = -45.8 - u. Let n = 2\/391 + 756\/5083. What is the fourth biggest value in 5, -6, v, n?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1405835?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -4*g - 3. Let k be (-26)\/14 + (-2)\/g. Let j = -0.1 + 0. Which is the smallest value? (a) k (b) j (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 10 + 1 = g - 1 - 2 + 6, 3*p - 53 = 5*g for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 37142634 or 37142635?\nAnswer: 37142635","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 216\/126 - (8\/(-14))\/2. Let p = 26 - 13. Suppose -3*n + p = -2*o, 3*o - 5*n = -7 - 15. Solve f + o = -k for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((-1 + sqrt(539))*-2)**2 - (1*sqrt(539) + -4)) - -5*((0 + sqrt(539))*-1 - (sqrt(539) + (sqrt(539) + 2 + sqrt(539))*5))**2.\nAnswer: 8715*sqrt(11) + 377760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 41*m + 7956. Let b = m + -2653\/13. Let y = -1153\/11 - -105. What is the closest to -2\/5 in b, -0.2, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 6, -2, -0.15, 0.1, -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 != -200\/47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/169810091 and -51\/4.\nAnswer: 679240364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/34, 0.5, -6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 9 = f. Let w(o) = -14*o + 83*o**2 - o**3 + 33*o + 13 - 90*o**2. Let s be w(f). Which is the third smallest value? (a) 1\/7 (b) s (c) 1\/9 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.39 + 5.799. Let r = 0.408282 - j. Round r to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence azhh when four letters picked without replacement from hhczhacahc.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 28662.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 57*m**2. Let n(y) = -4*y**2 - 20*y - 5. Let k(l) = 3*l**2 + 16*l + 4. Let p be ((55\/22)\/5)\/((-1)\/8). Let v(q) = p*n(q) - 5*k(q). Calculate z(v(h)).\nAnswer: 57*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1460 = 69*o - 361*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5443 is divided by 344?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 3:04 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -5*c. Let t(s) = 156*s + 4. Give g(t(i)).\nAnswer: -780*i - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4865 + -4858. Which is the nearest to -2? (a) -4 (b) 1\/10 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3468 = 3468?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-6)*(f**(-4\/5)*f)\/f*((f*f\/(f**(-5)*f))\/f)\/(f\/((f**(-3)\/f)\/f))*((f**4*f)\/((f**0*f)\/f))**29 assuming f is positive.\nAnswer: f**(686\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 364*j**2 + 110*j wrt j?\nAnswer: 728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111344 is divided by 2530.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of f**4\/4 + 139*f**3\/3 + 4899*f**2\/2 + 4761*f + 331. Factor q(w).\nAnswer: (w + 1)*(w + 69)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t - 1. Let u(g) = 7. Determine 3*p(d) - u(d).\nAnswer: -3*d - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1603 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four fifteenths of a week?\nAnswer: 2688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 1 - 1)*(0*c - 4*c + c) + (-2 + 3 + 0)*(3*c - 2*c + 0*c) + 4*c - 4*c + 2*c)*(-3 + 5 - 4).\nAnswer: -18*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -2, -38, -5, 105 in descending order.\nAnswer: 105, 4, -1, -2, -5, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -80885, -4, 19 in increasing order.\nAnswer: -80885, -4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 13*j**2. Let s(c) = 180*c + 3. Let f(v) = 2375*v + 40. Let m(n) = -3*f(n) + 40*s(n). Give m(a(p)).\nAnswer: 975*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -1\/2, -0.1, 9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*j = -0*w + 5, -w + 19 = -4*j. Let k be (-2)\/(-2) - w - (16698 + 0). Round k to the nearest 1000.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + 5*c**2 - 3*c**2)*(26 - 18 - 2*c + c)*(15 + 7 + 17 + (3 - 3 - 1)*(-2 + 2 - 2)).\nAnswer: -41*c**3 + 328*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 22529739, 45059478, 67589217, 90118956, 112648695?\n\"Answer: 22529739*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 4, -159, 0.1, -1\/7, -3\/4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -16319\/27765?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -252*o + 247. Determine j(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15883884*s**3 - 7*s**2 + 101*s + 7054?\nAnswer: 95303304","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + -1)\/(2\/(-2)). Suppose 0 = 2*j - g - w*g - 4, 0 = -5*j + g + 10. Suppose -3*a + j*a + 3*d = -47, -2*a - d + 66 = 0. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 3*l = -12. Factor -9*q**l - 12*q + 16*q - 3*q**3 + 23*q + 3*q.\nAnswer: -3*q*(q - 2)*(q + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -4275, -5, -6 in decreasing order.\nAnswer: 21, -5, -6, -4275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, -0.326, 5, 0.3, -1, -147\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 6*x - 2. Let k be ((-4)\/8)\/((-3)\/6). Let s be t(k). Suppose 2*u - 129 = -2*u - 5*o, -3*o - 121 = -s*u. Does 7 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -363 + 363 - 9*m to the form q*m + z and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 18395019 divided by -10701?\nAnswer: -1719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 - -31. Calculate the least common multiple of 42 and 10 - ((-2)\/w + 3).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80460884.\nAnswer: 2, 7, 641, 4483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3083996713 to the power of 1\/2, to the nearest integer?\nAnswer: 55534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35876072 is divided by 2196.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-15)\/10)\/(((-15)\/(-16))\/(-5)). Sort c, -1\/7, -2 in ascending order.\nAnswer: -2, -1\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/9649 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from aauaauaaaaau?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nv when two letters picked without replacement from {m: 1, v: 1, n: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 11*f + 17. Let w be q(12). Suppose -2*x + w = 3*y - 0, x - y - 5 = 0. Calculate the least common multiple of 6 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -82 - -412\/5. Let f(n) be the first derivative of -i*n**5 + 0*n**4 - 1\/3*n**3 + 0*n**2 - 1 + 0*n. Find the third derivative of f(d) wrt d.\nAnswer: -48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 638.145846 + -958.146029. Let j = 320 + w. Round j to five dps.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 12:15 PM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - 3*4\/54. Let w = -0.5 - -6.5. Let y = -34045\/45388 - -1\/11347. Which is the closest to -1\/4? (a) w (b) z (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -36*o**2 + 67*o - 3. Let r(b) = 37*b**2 - 68*b + 4. Let s(t) = -3*r(t) - 4*v(t). What is the second derivative of s(m) wrt m?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*k - 17 + 22 + 0 - 5.\nAnswer: -42*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p**2 - 3*p + 3. Let d be t(6). Let i(b) = -4*b + 93 - d. Let n(s) = -11317 + 11317 + s. Calculate n(i(v)).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15.5 in -1\/3, 4, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do -953 and -954 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29351, -62450, -95549?\nAnswer: -128648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3c + 17?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 937\/9 + 3591420\/(-34204)?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1570*c**2 - 1374?\nAnswer: 3140*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6746.010649 + 6746. What is w rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -50. Let u = 17 + c. What is the common denominator of 966\/u - 0\/2 and 83\/22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - 9*j**2 + 9*j - 5. Let p be v(8). Suppose 21 = p*u - 186. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -103 + 203. Let j = -60 + g. Let d = 39.9999967 - j. What is d rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of 22*c**7\/105 + c**4\/24 + 452*c**3\/3 - 12*c**2 - 2. Differentiate a(k) wrt k.\nAnswer: 176*k**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 29, -39129, 53 in decreasing order.\nAnswer: 53, 29, 1, -39129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-33)\/6)\/(5\/(-10)). What is the greatest common divisor of z and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y - 1. Let o be l(-3). Suppose 0 = o*d, 4*d = 4*h + 5*d - 8. Let t be 2*1\/h - -2. Solve -t*k - 2 = -k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 10*b**2 - 6*b - 2. Determine t(-8).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from njnjnnnnjnnnnnnnjnn. Give prob of sequence jnjn.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -22232130?\nAnswer: 22232132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -3*l - 57, -12*f + 4*l + 73 = -23*f + 14*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43*w**2 + 12*w - w**3 + 43*w**2)*(-3*w - 3 + 3).\nAnswer: 3*w**4 - 36*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -4100 (b) 1 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2872921, -11491724, -25856389, -45966910, -71823281?\n\"Answer: m**3 - 2872937*m**2 + m + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 12036, 1, -8\/815, 0.1?\nAnswer: -8\/815","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -197 - 144. Let w = z + 484. Let s = w - 142.99999874. What is s rounded to seven decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13 - 9 - 2*i**4 + 21 + (-i**2 - i**2 + 0*i**2)*(i**2 + 4*i**2 + 0*i**2).\nAnswer: -12*i**4 + 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 391532.1549982 - 391532. Let i = r + -0.155. Round i to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g - 1. Let f be y(-1). Suppose f*l - 2 = -l. Let x(h) be the third derivative of -h**5\/15 + h**4\/12 - h**3\/2 + 2*h**2 + 13*h. Give x(l).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.32 - -19116419.83.\nAnswer: 19116421.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225*m = -222*m - 15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 3:48 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1929721235 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -9*k**2 - 4*k - 3. Let x(o) = 4*o**2 + 2*o + 1. Let g be (30\/(-20))\/((-18)\/(-84)). What is g*x(d) - 3*j(d)?\nAnswer: -d**2 - 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105305*q**2 - 104130*q**2 + 4*q**3 + 209435*q**2.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1821617, -1821600, -1821583, -1821566?\nAnswer: -1821549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-2) + -26242 + -21. Round t to the nearest one thousand.\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 4. Suppose -v - 6 = -7*v. Solve -3*b = -k - 5, -b = j*k - v - 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -93 from 811.\nAnswer: 904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -4*o**2 - 52 + 8 + 5*o**2. Let s(h) be the third derivative of h**5\/60 - h**2. Calculate u(s(p)).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 498?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39468 and 5928?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/(-4) + 6\/24. Which is bigger: p or -1\/29?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154261439 to the power of 1\/3, to the nearest integer?\nAnswer: 536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 21 - 6 = q, 4*q + 77 = 3*k. Solve m + 27 = -2*h + k, 0 = h - 3 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -4*r + 4, -3730*y + 3733*y - 31 = 4*r for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 86782 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*y - 3*v, 5*v - 25 = -2*y - 0*y. Suppose -2*z + 5*z - 48 = y. Let o = 26 - z. What is the least common multiple of 61 and o?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 21 = n, 675*h - 2*n = 678*h - 23 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 182 divide 40077492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/7 + 1135852*j - 15901936\/7.\nAnswer: 2*(j - 2)*(j + 3975484)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 967*m**2 - 6 + 13 - 7.\nAnswer: 967*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*4*(-8)\/71184. Let p = -289073\/124572 - d. What is the common denominator of -151\/12 and p?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13.9639 + -0.9639. Which is the closest to 3? (a) h (b) -43 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000714946 rounded to 5 decimal places?\nAnswer: -0.00071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2284 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -159, -603, -1323, -2319, -3591, -5139, -6963?\n\"Answer: -138*i**2 - 30*i + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (0 + 5 + -11 + -1)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 268202334?\nAnswer: 2, 3, 167, 267667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 12*9\/4) + (-88)\/(-8) + -4?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 105 - 113.3. Let r = 8 + b. Round r to 0 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1337*h - 3 + h**2 - 2*h**3 - 1239*h + 4*h**3 - h**4 + 2 in the form m + q*h**3 + i*h**4 + u*h + g*h**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20210955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41.2*46.\nAnswer: -1895.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 0.2 (c) -90 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 - (-2 - 1 - -6). Suppose -c - 18 = -4*c - 3*d, -2*d = -5*c - 5. Suppose c = 5*n - 19. Solve j*i = -4*v + 6*v - 20, n*v = -4*i for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of -b**5\/120 - b**4\/8 + b**3 - 9*b**2. Let l(o) be the first derivative of a(o). What is the derivative of l(s) wrt s?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) -2 (c) -280 (d) 2 (e) -25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 549941 = 117*p - 20785. Does 18 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 7220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, -14, -17973 in descending order.\nAnswer: -3\/5, -14, -17973","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(1377)*-2)**2*3 - sqrt(1377)).\nAnswer: -99144 + 54*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4573 + 7*f + 4570 - f as m*f + k and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 65e (base 16) in base 8?\nAnswer: 3136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 93 + (-251)\/((-10291)\/(-6888))?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 5) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50\/3 and 133\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -2. Suppose 3*w - h - 55 = -r*h, h - 53 = -3*w. Is w a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680.33903 rounded to the nearest ten?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 124 + -168. Suppose -5*a + 2*a + 186 = 0. Let f = a + x. What is the highest common divisor of 45 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 122 - 373. Let h = 247 + v. Let g = 0 - 5. Put 3, g, 0.3, h in decreasing order.\nAnswer: 3, 0.3, h, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*z**2 + 3924720*z - 3924720*z.\nAnswer: 13*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 321785338 = 321785339?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -521*t + 512*t + 18 = 0. Let d = 0.3 - 0.4. What is the nearest to d in 0.6, t, 3\/2?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*n + 5*n - 2 + 2*n)*(1 - 3 + 3).\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(19) + 1 + 2.\nAnswer: -2 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35 - 21. Suppose 2*z - s = -0*z. Is z even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*q**2 + 21*q**2 - 11*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 43973021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) + 1*sqrt(76)*6)\/(sqrt(24)\/(sqrt(30)\/sqrt(5)))*4)**2.\nAnswer: 14896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, -74, -222, -356, -434?\nAnswer: -414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -19.89 and 0.46.\nAnswer: -9.1494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 57? (a) 2\/17 (b) 21 (c) 5.3 (d) 4 (e) 2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.15170396 rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 72\/108 + 1\/(-3). What is the nearest to 2\/7 in 3, 0, s, 2\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of w**8\/1848 - 4*w**7\/385 + 3*w**6\/44 - 5*w**5\/33 + 279*w**2. Find c such that n(c) = 0.\nAnswer: 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/23 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 1.4. Let l = r + 0.2. Let y = -0.2 - l. Which is the third smallest value? (a) -0.4 (b) 2\/15 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2*z = -13, -5*z - 5 = -0. Let j = -7 + 27. Solve -w*m + j = -10*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**2*y*y**6*(((y*y\/(y**2\/y))\/y)\/y)**(-27\/4)*(y**(-3\/2)*y*y*y*y*y**(-7\/5)*y)**8 assuming y is positive.\nAnswer: y**(651\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + z + 885, -7*r + 590 = -5*r - 5*z. Factor -4*s**2 + 0*s**2 + s - 1789 - 379 - 3308 + r*s.\nAnswer: -4*(s - 37)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 0. Let m be (-32)\/12 - (-4)\/6. Sort 4, z, m.\nAnswer: z, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -162 (c) 3 (d) 15\/4 (e) 4\/3 (f) -108 (g) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 463498057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -2*q - 8*b - 10, 2 = -5*q - b for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = o - 10. Suppose 2 = 4*f - o*f. Which is the smallest value? (a) f (b) 0.3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-180)\/40)\/(2*6).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 2*a + 330 = 0, 3*a + 217 = -2*o + 54. Let b = o + 127. What is the remainder when b is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*d = 13*d + 16*d - 26 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -168 divided by 84?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1701750 and 251984.\nAnswer: -1449766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b**3 + 20*b**2 + 24*b = 0. What is b?\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -2*o - 84. Let y = o - -36. Solve 0 = -z + 4*k - y, -5*z + 4*k = 3*k + 21 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a litre in millilitres?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 14762.4 to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 134064 and 11256?\nAnswer: 8982288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 - 29. Suppose 3*i - 2*c - 126 = -2*i, 0 = -q*i + 2*c + 54. Calculate the lowest common multiple of i and 32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/3, 1.3, -0.34, -0.2, -7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 973, 1107, 1241, 1375?\n\"Answer: 134*x + 839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/9 and (-1349)\/(-426)*(9\/706)\/1.\nAnswer: 12708","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + -2 + (-228)\/(-19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*y**2 - y**2 + 2*y**2 + (-112*y**2 - 301*y**2 + 81*y**2)*(-2 + 1 + 6) in the form s*y + o + i*y**2 and give i.\nAnswer: -1659","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 3 + -5 - (-6 - 3)) + -12?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -22, 9, -91, -1\/4, -2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of 5 + 0*x - 5\/4*x**4 + 5\/2*x**2 + 0*x**3. Factor i(t).\nAnswer: -5*t*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2435551852 to the nearest integer?\nAnswer: 1345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62867 = -i - 62916 for i.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooiyoyyooyi. What is prob of sequence iyiy?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*2183801.1\nAnswer: -873520.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7 (b) -3\/7 (c) 0.5 (d) -6 (e) 0 (f) 9.48 (g) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -49 - -41. Let w = -15 - k. Let i be ((-1)\/2)\/((-9)\/4). Put i, -4, w in descending order.\nAnswer: i, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 - 10 + 6)*(j**5 - j**5 - j**5 + (-2*j - 3 + 3)*(j**4 - 4*j**4 + j**4)).\nAnswer: 51*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 7:09 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 + 36. Find the common denominator of (-382)\/120 + 21\/28 and 5\/50*(s + (-5)\/2).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1456406 (base 8) in base 7?\nAnswer: -3354555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = b - 41, 123*o - 122*o + 214 = 5*b for b.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = b, -28 = -3*b - b + 3*d. Let u be 2\/b*(8 - 2). Factor -3*p**2 - 3*p**u + 26*p - 26*p.\nAnswer: -3*p**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5001 - 5?\nAnswer: 4663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9596*n + 4800*n + 4820*n.\nAnswer: 24*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, y: 1, v: 1}. Give prob of sequence yj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**2 - b**3 - 4*b**2 - 4*b + 1 + 0. Let k(g) = g**3 + 11*g**2 - 12*g - 5. Let s be k(-12). Calculate i(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23605.\nAnswer: 5, 4721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55266575 and 325.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-10) - 792\/(-30). Solve -2*n = 5*k, 3*k - o = 4*n - 0*k for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**3 + 3*a**2 - a - 10. Let n(y) = -y**3 - y - 1. Let d(m) = h(m) - 3*n(m). Let o be d(-5). Let w = -44 - o. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 63 - 23. Suppose -66*k = -60*k - 30. Calculate the highest common factor of i and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -334 divided by -2397684.\nAnswer: 167\/1198842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 138*d**2 + 393*d - 131. Is a(-132) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y - 11*y - 1 = t, 5*t = -3*y - 5. Let n(m) be the third derivative of -m**4\/24 + 3*m**2. Let b(u) = -u - 2. What is t*b(p) - 2*n(p)?\nAnswer: 3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 60804527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 2*g**2 - 11*g - 6. Let y(o) = -o**3 - 5*o**2 + 28*o + 94. Let f be y(-7). Determine x(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 121*n**2 - 686*n + 3. Give i(6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 59 - 5 - 3 - ((-28 - -20) + 1).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -11*a - 57. Is 35 a factor of u(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 60 = -16. Let d = q - 8. Factor d + 5*i**3 - 6*i + i**3 - 8*i**4 + 5*i**4.\nAnswer: -3*(i - 1)**3*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2 = -g, 2*h - 18 = -3*h - 4*g. Suppose 0 = 2*b - 5*k - 3 + 2, -h*k - 10 = -4*b. Suppose -p = b - 5. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 8*u + 7. Let p(b) = 3*b + 2. Let w = 14 - 7. Let d(t) = w*p(t) - 2*g(t). Calculate d(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-14 + 9 - -9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -3 (c) -5\/12 (d) 64\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-5))\/i)**(1\/9) assuming i is positive.\nAnswer: i**(-5\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1473 divided by 29?\nAnswer: -1473\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10656 divided by -6.\nAnswer: -1776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-248)\/42 + 6 + 1018\/210 - 5\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3504*n + 3345*n + 5406 = 0 for n.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 8*b**2 + b + 13. Give j(9).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -4*o - 6 - 14, 3*j + 4*o + 22 = 0. Let m(x) be the third derivative of 0*x - 1\/8*x**4 + 0 - 1\/2*x**3 - 2*x**2. Calculate m(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-9*6\/378)\/((-22)\/(-14))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22204 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 the closest to 0.1 in 0.4, 0.145, -1\/9?\nAnswer: 0.145","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j - 1. Let i(q) = -2*q - 3. Let g(s) = -i(s) + 3*w(s). Let d(z) = -3*z**2 - 9*z. Let m(r) = -r**2 - 2*r. Let c(u) = -2*d(u) + 9*m(u). Give g(c(o)).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u = -13*u + 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42206 - -97233. What is the hundreds digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36619, 73239, 109863, 146491, 183123, 219759, 256399?\nAnswer: 293043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -8\/3, 5, -4.1, -3\/4 in descending order.\nAnswer: 5, 0.2, -3\/4, -8\/3, -4.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6.96002 + 0.04362. Let c = 15 + -8. Let t = c - a. Round t to 4 decimal places.\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of 0*t**6 + 0*t**5 + 0 - 3\/14*t**7 + 0*t**4 - 1\/2*t**3 + 0*t**2 + 12*t. Find the second derivative of l(v) wrt v.\nAnswer: -180*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 16*y**2. Let i be l(-1). Let a be (-4 + (-16)\/(-5))*-5. What is the highest common factor of i and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*c - 11. Suppose -c*k + 3*s = 6*s, -4*k = -3*s - 24. Let l(j) = -17*j**3 + 18*j**3 - 5*j**2 + 2 + 4*j - j. Determine l(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/4*((-252)\/(-35) - 6)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2053185 divided by -2053185?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 886 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23*(-7)\/(-322)*48\/2.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 32, 2\/11, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of o**6\/24 + o**5\/20 - o**4\/12 - 13*o**3\/6 - 2*o**2. Suppose -11*v + 77 = 33. Is f(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -131874202\/9 or -14652688?\nAnswer: -14652688","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (18\/27 - (-2)\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3151, 12848, 29031, 51694, 80831, 116436?\nAnswer: 158503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6460457 (base 9) to base 11.\nAnswer: 1a56aa2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2646 and 4291770?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 h, and 2 x when four letters picked without replacement from {h: 2, z: 10, x: 6}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-v + v - v)*(-5*v - 4*v + 11*v)*(2*v**2 - 2 + 2) to the form t*v**3 + f + m*v**4 + x*v + i*v**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1050\/839 - -3720553\/5034. Let k = -733 + u. Find the common denominator of -58\/21 and k.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 10:00 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 177, 499, 999, 1677, 2533?\n\"Answer: 89*p**2 + 55*p + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -61 + 183 - 62 + 10*h**4 + 27*h + 2*h**3 - 60 in the form d*h**3 + y*h + x*h**4 + b*h**2 + s and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -4*i**2 + i + 689. Suppose 45*n = 14*n. Is a(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 13 = 4*g + 2*i, 5*i = -2*g + 1. Let b be (-271)\/g - 4\/(-14). Suppose -5*x - u = -b, 2*x - 3*x - 5*u = -27. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 160 = -0*k. Let v be 70\/4*k\/(-14). Let l = v - 27. Which is bigger: 22 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 16*l = -126. Suppose 2*f = -3*q + 14, 3*f = -8*q + 7*q + l. Solve x - 3*x = 4*a - 22, 2*a - q = 2*x for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13926371 or 13926380?\nAnswer: 13926371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (15 - 2) + 3\/(-1). Let f(d) = 5*d**3 + d + 3*d**3 - v - 5*d**3 - 2*d**3. Calculate f(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 131*a**2 + 8361240*a - 8361240*a - 1.\nAnswer: -131*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1783540499.\nAnswer: 13, 17, 8070319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7\/((-63)\/(-6))*(-7 - -13). Solve -m*v = a - 6*a + 7, 3*a = 2*v + 5 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.42 and 23.399.\nAnswer: -9.82758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1, 67, 137, 211, 289, 371, 457?\n\"Answer: 2*b**2 + 60*b - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -32981, -131965, -296947, -527933, -824929?\n\"Answer: -j**3 - 32993*j**2 + 2*j + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (447 + (3 - 4))\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + 4*a - 3*a)*(-1 - a + 1) + (3 - 1 - 1)*(-a + a - 3*a)*(-9*a + 13 - 13).\nAnswer: 30*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -31*x**2 + x - 2. Let v be y(1). Let q be (14\/(-3))\/(3*v\/72). Let q*p - 5\/2*p**2 + 1\/2*p**3 - 3\/2 = 0. Calculate p.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v - 5*v + 5*v - 4*v. Let p(u) = 4*u. Determine p(c(i)).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.4 (b) 1\/5 (c) -2 (d) 3 (e) 134.57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (264 - 264 + 16*y)*(-2 + 0 + 0 + (0 - 1 + 0)*(-4 + 2 + 4) - 2 + 4 - 1).\nAnswer: -48*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3865*g = -74090 - 14805 for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-6)*0 - 1. Let t = o - -2. Put -3, 0, t in ascending order.\nAnswer: -3, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 2*s + 192, 0 = m + 4*s + 112 + 86. Does 6 divide 82\/12 + (m\/(-36) - 5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from svssvvvslqxvvsvqsvvs. What is prob of sequence vx?\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/170236 and -7\/17389768.\nAnswer: 921657704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5165.083 + -5164.7130057. Let z = h - 0.37. Round z to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 14*f + 13 - 7 to k*f + l and give k.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nknn when four letters picked without replacement from npkqnqpnwn?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -577*o - 31157. Let m be w(-54). Let u be 6\/9*(-3522)\/(-16). Let s = u + -146. Is m less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 3, -16 = -6*a + 4*a + 4*d. What is the third derivative of -16*w**3 - 2*w**2 - a*w**5 - w**2 + 16*w**3 wrt w?\nAnswer: -120*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {k: 3, c: 1, s: 6, r: 2}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - 2*i**2 + 4*i. What is the tens digit of d(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52711, 52868, 53025, 53182?\nAnswer: 53339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -3*q**2 + 17*q + 4. Let y(c) = -4*c**2 + 18*c + 5. Calculate 6*x(j) - 5*y(j).\nAnswer: 2*j**2 + 12*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -246 or -248?\nAnswer: -246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, x: 12, c: 1, j: 1, y: 2}. Give prob of picking 3 x and 1 c.\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14077667*k**5 + 15707*k**2 + 220*k.\nAnswer: -844660020*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -z + 8, 6*b + 62 = 4*z + 4*b. Is 4 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -2*b**2 + 61794*b = 0.\nAnswer: 0, 30897","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 11:41 PM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1209\/(-78))\/(6\/(-33) - 141\/2068)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50 and 485.\nAnswer: 4850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -66\/221 + -12379\/2210. Let d = -611\/4 + 151. Find the common denominator of g and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2624 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + c + 4*d - 8, 2*d - 8 = -c. Is c*3\/6*97 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-20 - -13) + (-5 - (-4 + 2)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -904876, -1809514, -2714152, -3618790, -4523428, -5428066?\nAnswer: -6332704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1180 and 722337?\nAnswer: 14446740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 10:05 AM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -41, -58, -75, -92, -109?\n\"Answer: -17*v - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a meter in millimeters?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -q**5\/55 - 5*q**4\/11 - 142*q**3\/33 - 210*q**2\/11 - 441*q\/11 + 236. Factor v(i).\nAnswer: -(i + 3)**2*(i + 7)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3658 divided by 62\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, w: 2, h: 1, u: 1, v: 1, t: 5}. What is prob of picking 1 w, 1 h, and 1 t?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -4\/7, 0.1, -0.4, -0.2, 5064?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 5*b - 32161, b - 26551 = -3*d + 69946. Does 18 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 866759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)\/(sqrt(63)\/sqrt(63)).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**5 + 1299*x**4 - 104106*x**3 - 70425876*x**2 - 752517864*x + 4143212640 = 0.\nAnswer: -322, -15, 4, 222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o + 19*o = 12. Does 13 divide 4\/o*7722\/44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3900)\/(-66) + (-2)\/22. What is the highest common divisor of 2419 and n?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/7 (b) 0.5 (c) 13 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-9)\/(-2))\/1 + -4. Suppose 2*p + 3*p - d = 5, 10 = 4*p - 2*d. Let i = -0.2 + 0.4. Which is the biggest value? (a) p (b) t (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 73 + -4. What is the remainder when u is divided by 37?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a - 6. Suppose 4*j + 5*u - 12 = -47, -5*j - 37 = 4*u. Let m be r(j). What is the highest common factor of m and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23131543 - -7926443. Round x to the nearest one hundred thousand.\nAnswer: -15200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28291 less than -1818?\nAnswer: 26473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 1096.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27293 at least as big as 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*3\/54 + (-3513)\/27. Let t = r + 128. Put -25, -5, t in increasing order.\nAnswer: -25, -5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277578335 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d + 6. Let g(h) = -h + 1. Calculate 4*g(u) - y(u).\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 166457970 divided by -33291594\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3930524 and 400205.\nAnswer: 1703","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1517\/7 equal to 217?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 558 is divided by 81?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -6*v**3 - 4*v**2 - v - 5. What is the units digit of i(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 - -20. Suppose 0 = -5*j - l*i + 34, 0 = -0*j + 5*j - 3*i - 24. Calculate the highest common factor of 3 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41989.\nAnswer: 199, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 30 in -155, 6, 0.2, -111?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(10\/9))\/(r**3*r))\/(r\/(r*r\/(r\/(r**3\/r*r))*r))**(11\/6) assuming r is positive.\nAnswer: r**(29\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 5128*k - 10253. Determine j(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 929139.3cm in meters?\nAnswer: 9291.393","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -9*y**2 - y. Let o be x(1). Let f = o + 12. Solve c - 28 = -5*w, 4*w - 1 = f*c + 13 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 6, m: 5, k: 1, i: 5}. Give prob of sequence ffkm.\nAnswer: 5\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53587?\nAnswer: 41, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 9*q**2 - 7*q + 2. Let m be r(8). Let o be (-2)\/m + 14\/70. Suppose 2*i - 6 = o, 2*f - 138 + 45 = 5*i. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r + 19. Let f be k(11). Let a = f - 3. Suppose 0*x + 15 = a*x. Calculate the highest common divisor of x and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 320, 810, 1474, 2318, 3348, 4570, 5990?\n\"Answer: b**3 + 81*b**2 + 240*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 15\/4 of a milligram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9567 or -162660\/17?\nAnswer: -9567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8076?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(128)*-1)**2.\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**5\/6 + 595*o**4\/6 + 2404*o**3\/3 + 1608*o**2 = 0. What is o?\nAnswer: -4, 0, 603","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 4:53 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 17*i - 1. Let f be c(1). Let k = f - -17. Is 11 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3793 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (34 - -2) + 7 + -5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 582646873 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 4 + 12*b**2 - 7 + 148*b + 11*b**2 - 79 - 26*b**2. Let r(x) = 16*x**2 - 740*x + 408. Let l(z) = 5*r(z) + 24*s(z). Let l(v) = 0. Calculate v.\nAnswer: 1\/2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4*y - 24 = 0, -3*a + 4*y = -a. Let h(w) = 0*w - 3*w - 306310 + 612616 - 306302. Determine h(a).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -418, -836, -1254, -1672, -2090?\nAnswer: -2508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102011221121 + 0?\nAnswer: -102011221121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 3:48 PM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w - 1001 = 4894. Let m = w - 393. Solve m = -0*i + 6*i - 30 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 1:56 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t. Let v be 0 + (-1 + 4 - 42\/(-14)). Suppose 238 = v*h - 188. Let i(r) = -h*r**2 + 87*r**2 + 1 - 1. Calculate w(i(n)).\nAnswer: -48*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/6 + 2\/6. What is the second derivative of g - 5*g**x + g**2 - 4*g wrt g?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10297 + -1248. Let a = -11545.7961 - l. Let n = a - -0.79. Round n to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**(4\/5)\/d)\/d)\/(d*d\/d**(-1\/8)) assuming d is positive.\nAnswer: d**(-53\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*k**3 - 12*k**2 - 308*k wrt k.\nAnswer: -24*k - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 3*v**4 + 35553*v**3 + 104637825*v**2 - 4136560725*v - 4241163000 = 0.\nAnswer: -5945, -1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19942 and 590?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 3*s - 59*s - 18*s + 17.\nAnswer: -80*s + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5\/4, 0.4, 9\/16, -1\/2?\nAnswer: 9\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/52744958 and -29\/56.\nAnswer: 210979832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 4:47 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 644402 = -745. Suppose 0 = 6*n - 257981 - d. Suppose m - n = -850273. What is m rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 25086323, 50172644, 75258961, 100345274, 125431583, 150517888, 175604189?\n\"Answer: -2*s**2 + 25086327*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -8792*u. Let n(y) be the second derivative of -y**3\/3 + 3101*y. Calculate p(n(s)).\nAnswer: 17584*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + 8*l + 10. Suppose -2*a - 34 = -4*h, 0 = 4*h + 3*a - 7*a - 32. Let d be j(h). Let c be d - (-2 + (-2 - -4)). Solve 4*n - c = 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 587 divide 137570494?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/12 + (-4)\/(-6). Let n be 1 + (-2 + u - 6). Let x = n + 10. Is x a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + y - 22, -2*s - 3*y - 7 - 12 = 0. Let m be 208\/(-260) + 34\/30. What is the nearest to -1\/7 in s, 6, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121170889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 3624.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16341133 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*a**2 - 10*a**2 + 12*a**2 - 55)*(-2*a - a + 7*a) as z + g*a**3 + c*a**2 + s*a and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1706, 5885, 12812, 22481, 34886, 50021, 67880?\n\"Answer: -t**3 + 1380*t**2 + 46*t + 281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -101242 or -911188\/9?\nAnswer: -101242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of 93*v**7\/7 + v**3\/3 - 47*v**2\/2 + 21. Find the third derivative of d(f) wrt f.\nAnswer: 11160*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 4. Suppose a + k - 4 = 0, l = -6*a + 4*a - 4*k + 10. Suppose -a*m + 24 = -27. Calculate the greatest common divisor of 119 and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -51*s**5 + 33*s**5 + 52*s**5 + (s**4 - s**3 + s**3)*(-2*s + 3*s - 3*s) - 2*s**2 + 2*s**2 - 2*s**5 + 2*s**4 - 2*s**4 + 3*s**5.\nAnswer: 33*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0292 - -3.9708. Sort 0.4, u, -2, -4 in ascending order.\nAnswer: -4, -2, 0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -13, 14, -2, 4, -1 in decreasing order.\nAnswer: 14, 5, 4, -1, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*y - 6*y - 6*y + (-3 + 5 + 0)*(5*y - 3*y + 7*y) + (1 - 1 - 5)*(2 - 2*y - 2).\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -5*z**2 + 53*z + 236. Calculate the remainder when 2739 is divided by i(13).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10657.16682 + -8.9.\nAnswer: 10648.26682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 19 + 10 + -10 - (-15 - -72)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -65334 by -21778.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 104 = -4*q, -5 = q - 5*w - 1. Let k be (-4)\/(-5) + q\/(-20). Solve 3\/5*n + 0*n**4 - 6\/5*n**3 + 0 + 0*n**k + 3\/5*n**5 = 0 for n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -21*u + 230. Let p be o(11). Let k be ((-180000)\/27)\/(p + (-6212)\/(-6216)). Round k to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45020 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 m(v) = 6*v + 1. Let t(r) = -5*r - 2. Let u(q) = 4*m(q) + 5*t(q). Let l(k) = -5. Let f(w) = -6*l(w) + 5*u(w). Let b(p) = 2*p. Determine b(f(i)).\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 6*z + 11. Calculate d(4).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -30 or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 7*x**2 + 4*x - 10. Let z be v(-6). Suppose -z*l + 279 - 29 = 0. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1538 = 3*o - u, 2*o - 1523 = -o - 2*u. Calculate the greatest common factor of o and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2641?\nAnswer: 19, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 155561305 and 391.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 103733 and 6086143?\nAnswer: 1421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p - 30. Let g(b) be the third derivative of -b**3\/6 - 2*b**2. Let y(h) = 4*g(h) - 2*i(h). Let k be y(-28). Solve 0 = -k*d + d + 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*o - 360925 = o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2394 + -0.2.\nAnswer: -2394.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of 2*w**3\/39 + 4*w**2\/13 + 6*w\/13 + 106. What is d in f(d) = 0?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 greater than -498?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -2*j + 3*g, 0 = -2*j - 3*j - 5*g - 5 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*u**4 + 110*u**3 + 160*u**2 - 160*u.\nAnswer: 5*u*(u + 4)**2*(3*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1058 and 206264?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 46724256 and 2595792?\nAnswer: 46724256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is a in a**4\/10 + 4*a**3 + 429*a**2\/10 + 459*a\/5 - 1944\/5 = 0?\nAnswer: -24, -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -4827*p + 612211. Determine j(127).\nAnswer: -818","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 83, 91, 103, 119, 139, 163?\nAnswer: 191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8489966?\nAnswer: 2, 4244983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 4*j + 2 = 0, 6808*h + 3*j = 6815*h - 44 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 3*s = 11, -2*l + 781*s + 4 = 779*s for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -1, -0.2, 1.99 in increasing order.\nAnswer: -4, -1, -0.2, 1.99, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8003071 is divided by 63.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*c**3 + c**4 + c - 17*c**3 + 100*c**2 + 48*c**3 to the form n + m*c + q*c**3 + p*c**2 + r*c**4 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (-30 - 0) + (12 - (-16 - -16)) - 0?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 2. Let u = 6 - x. Suppose 12 + 5 = u*b + 4*k, 19 = 5*b + 2*k. Solve -4*a = 11 - b for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 925*i + 221 = 938*i for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 973 is divided by 226.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20665 by -70.\nAnswer: -4133\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 9 - 36. Is -2 < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t + 105 = -4*t + 14 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-3\/8))**(-1) assuming p is positive.\nAnswer: p**(-5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -319, 392, 1103, 1814, 2525, 3236?\nAnswer: 3947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -30*u + 1. Let h(g) = -39623*g. Give d(h(z)).\nAnswer: 1188690*z + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 5*u - 25 = -0*u, 5*u - 25 = -4*b. Does 4 divide (b - -2) + 5 + 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 4*f + 23 - 0, 4*t = 4. Let h(k) = 8*k**2 - k - 1. Let c(y) = 7*y**2 - y - 1. Give f*h(d) + 7*c(d).\nAnswer: d**2 - d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 24 + -29 + -27 + (1 - -3)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 354, 0, 2\/5 in descending order.\nAnswer: 354, 2\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 166, 197, -3.\nAnswer: -3, 166, 197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (-9 - -38 - -3).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -693 - -679. List the prime factors of (-8)\/n*(-8470)\/(-20).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 535 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 5*w + 34 = 0, -3*g - 68 = -7*g - w. Let v(z) = 12 - 2*z - 20*z**2 + 0*z + g - 30. Calculate v(-1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + s = -0*u + 620, -3*u + 600 = -3*s. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + 1 + (-53 - (-19 + -38))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3 + -0.1. Let w = 9 - 5. Let o be w\/21*(-56)\/(-48). What is the closest to c in o, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 38, -2\/3, -2.1, -2\/7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3135*z + 1030*z + 1050*z + 1054*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 n, and 1 i when three letters picked without replacement from ggngieqqqgqq.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - s = -8. Let m(h) = -5*h + 5. Let b(z) = -6*z + 5. Let v(u) = 4*b(u) - 5*m(u). Let q be v(10). Put s, q, 0 in ascending order.\nAnswer: 0, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of n**2\/2 + 10*n - 1. Suppose 0 = -33*w + 35*w - 4. Suppose -2*h + w*f - 18 = -f, -h - 9 = -5*f. Give v(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -182*z**3 + 9*z**2 - 13*z + 2. What is w(1)?\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4066, 16195, 36408, 64705, 101086?\nAnswer: 145551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004355711907 rounded to four dps?\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**3\/3 + 5534*l**2\/3 - 1343479*l\/3 + 1337944\/3 = 0.\nAnswer: -5767, 1, 232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -50\/21 + 12\/7. Which is the closest to t? (a) -2 (b) 1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1*-1*sqrt(7) - sqrt(7)))**2*2.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84 and 432?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -985.047 <= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -116 divided by 5\nAnswer: -116\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 23*r - 534. Give f(17).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 73 = -5*b - 92, -8*b + 2*g - 22 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 1 + 3 = -3*j, 0 = -5*w - 5*j. Let h be 4*(-135)\/(-100) + 2\/(-5). Suppose -h*q = -3*i + 3808, w*i + q - 3778 = -i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooku when four letters picked without replacement from ockbocouooooookwuo.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -237 + 247. Suppose 380 = 4*j + 152. Calculate the remainder when j is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28814839067 - -28815462871.99997. Let n = 623808 - l. Let g = n - 3. What is g rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p - 42 + 12 = 0. Let j(r) = -88 + 88 - 2*r**p. Let u(o) = 10*o**2 - 2*o. Determine j(u(t)).\nAnswer: -200*t**4 + 80*t**3 - 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26434470?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*q**2 + 9*q**5 - 2*q**5 - 25*q + 30*q**5 - 80*q wrt q.\nAnswer: 740*q**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 222*a**2 + 297*a + 11. Let y(s) = s**2 - 27*s - 1. Give 2*k(z) + 22*y(z).\nAnswer: 466*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.17 - 3.17. Which is the closest to 2? (a) -1 (b) -0.3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-34)\/6 + -1)*-3. Suppose s = p + 3*p, 2*p + 1122 = 4*a. Let c = a + -26. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -4*s + 9*l, l = 41*s - 36*s + 23. Let f be (2 + 1)\/((-6)\/4). Sort f, s, 10 in increasing order.\nAnswer: s, f, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7096447 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -436790 and -29 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105*-0.12.\nAnswer: 12.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 450 (b) -1\/5 (c) -0.102 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*v**5 - 2*v**5 + 7*v**5 + 2*v**5 + v**5 + 3*v**5 + (v**3 + v**3 + 0*v**3)*(3*v - 2*v**2 - 3*v) + 0*v**4 + 2*v**5 + 0*v**4.\nAnswer: v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*v**3 - 18*v**3 + 102*v**3)*(0 + 2*v + 0 + (-1 - 1 + 4)*(-3*v - 3*v + 4*v)).\nAnswer: -94*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**2 - 10*d + 15.\nAnswer: -5*(d - 1)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 48 - 56 = 0. Calculate the greatest common factor of d and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**2 - 490 + 180 + 61*p + 53 - 61*p + 85.\nAnswer: -p**2 - 172","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 12 - 24622*j**3 + 24637*j**3.\nAnswer: 15*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 3\/5, -5 in ascending order.\nAnswer: -5, 3\/5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76051?\nAnswer: 59, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 161301894*t**5 + 138844949*t**2.\nAnswer: 9678113640*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 5*b - 3. Let r(d) = 16*d - 10. Let t(k) = 7*a(k) - 2*r(k). What is t(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19\/2 - 59\/6. Let y = -0.93 + -1.93. Let u = y - -2.91. What is the biggest value in t, -0.5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 k when four letters picked without replacement from {k: 4, r: 7, f: 2}?\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kknkknknkkkknkkknnk. What is prob of picking 4 k?\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -q**8\/336 - q**5\/15 - 5*q**4\/6 + 7*q. Let i(o) be the third derivative of s(o). What is the first derivative of i(r) wrt r?\nAnswer: -60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s = 12*s - 8. Let i = s + 32. Suppose 0 = -2*w + 4*o + i, -3*o + o = 4*w - 6. Solve -v - 2 = -w for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of 7*s + 0*s**3 + 0*s**2 + 5\/12*s**4 + 0. Let n(l) = 2*l. Calculate n(p(o)).\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -287, -722, -1269, -1928, -2699, -3582?\n\"Answer: -56*p**2 - 267*p + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 84\/(-126) + (-11)\/(-3). Let m(i) = 3*i**2 - 4*i + 4. Determine m(j).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 2:09 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -9. Sort a, 13, 4 in ascending order.\nAnswer: a, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of 0*p + 0*p**3 - 1 - 3\/2*p**2 - 3\/4*p**4. What is the second derivative of g(l) wrt l?\nAnswer: -18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -7*m - 68. Give d(-12).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does -1504777 = -1504890?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6834?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5 + (3*sqrt(560))\/(1*sqrt(25)\/sqrt(5))).\nAnswer: 25 + 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 3\/2 (b) -3330 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -108850000 to the nearest one hundred thousand.\nAnswer: -108900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5176*a**3*u*x**3 - 180*a**3*u*x**2 - 2*a**2*u*x**3 - 112*a**2*u*x**2 - a**2*u*x - 542*x**3 wrt a?\nAnswer: -31056*u*x**3 - 1080*u*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 140, 1042, 3456, 8138, 15844, 27330?\nAnswer: 43352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40.1 + 40. Let z = 6.3 - 6. Let x = z - 0.3. What is the closest to -1 in 0.2, x, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 3*y**4 + 48*y**3 - 183*y**2 - 192*y + 684 = 0.\nAnswer: -19, -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150005 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 AM and 1:33 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20867*u**6 - 5*u**5 - 2*u**3 - 3*u**2 + 25569*u.\nAnswer: 2504040*u**3 - 300*u**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 5*d**2 + 3*d - 3. Let v be j(3). Let h = v - -34. Calculate the smallest common multiple of 6 and h.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 276 * 5091\nAnswer: 1405116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 474*c**2 - 10*c + 14. Let h be q(-10). Let i be (h\/(-8))\/(18\/(-4)). Let u = 1332 - i. Calculate the common denominator of -11\/2 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 7:11 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 56.89224 weeks?\nAnswer: 9557.89632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -0*j + 4*p - 664, 0 = -2*p. Let l = 520 + j. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/8 - 26\/(-4). Solve 0 = -b*p + 4*d + d, 2*d - 35 = -5*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = -11*n + 14*n + 5*c, 5 = -5*n + 3*c for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1413720 to the nearest one hundred thousand.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 762 + -761.14. Which is the nearest to -2\/7? (a) r (b) 0.5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -3, 140, -6, 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3 = 0, -4*c - 8*w + 1155 = -13*w. Is c a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -f**4\/6 - 7*f**3\/3 - 2*f**2 - 66*f + 30. Let m(i) be the first derivative of b(i). Give m(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*r**3 - 5*r - 74*r**3 + 5*r.\nAnswer: -37*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11677 and 2.\nAnswer: 23354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -108555187 and 1506?\nAnswer: 108556693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 235985 a multiple of 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*c**2 + 5*c**2 + 2*c**2)*(3*c + c - 2*c - 3) to the form r + g*c**3 + f*c**2 + y*c and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, f: 1, p: 3}. What is prob of sequence jf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/4 - 9)\/((-2)\/4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 6 = -3*l, 3*l = 2*l - 2*q + 1. Let r be 12\/2*(-2)\/3. Suppose 0 = 4*c - 15 + 3. Sort l, c, r in descending order.\nAnswer: c, r, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/381296 and 7\/4?\nAnswer: 381296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 23\/2913457?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -131*-0.4.\nAnswer: 52.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2*t - 84 = 0, 14 = -4*t + 6. Solve -4*n + s + 3 = 3*d, 5*d + 10 = 3*n for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5082 is divided by 82?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -657*d = -659*d + 20 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y + 9. Let n be 2\/(-6) - 294\/(-18). Let z = -10 + n. Let f be q(z). Which is the smallest value? (a) -23 (b) f (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234*i + 2544 = -2091 - 981 for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1023351 rounded to 3 decimal places?\nAnswer: 0.102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 52*c + 27. Let h be k(17). What is the hundreds digit of h + -1*(-6)\/(-18)*12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35 - 24 - -35) + (61 - -5).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192196 is divided by 192195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 - -64. Let x = -5 + 8. Suppose -4*d = 3*a - 33, 6*d - 4*d + x*a - 9 = 0. Calculate the highest common divisor of d and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 427528292 to the nearest integer?\nAnswer: 20677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1868 + 2006. Calculate the highest common divisor of 368 and n.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 2*u**2 + 8*u - 1 - 8*u in the form i*u**2 + d + w*u and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 122*y - 120*y - 8. Suppose 39 = y*h + 7. Solve -2*a - 2*c + h = 0, 0*c = 5*a - c - 14 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 315 = -6*f + 5*o, 2*f - 102 = -4*o. Suppose 0 = -k + 107 + f. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (14 + -8)\/((-1)\/((-4)\/(-6))). Put z, 9, -114 in decreasing order.\nAnswer: 9, z, -114","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -297097*q + 59422*q + 59437*q + 59427*q + 59406*q + 59426*q.\nAnswer: 21*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1620776681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t + 4 = -2*t + 2*g, 4*t - 2*g = -4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.18, 5, -0.1, 0.1, 0.8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*k - k + 5*a + 5, -3*a + 21 = -3*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -51*y + y + 15*y**3 + 1008 + 24*y**4 - 52*y - 19*y - y**5 - 1003 wrt y?\nAnswer: -20*y**3 + 288*y**2 + 90*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5657735*m**2 - 7944582 wrt m.\nAnswer: -11315470*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.07, 2\/19, -1, 0.148, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 62.73 + -63.13. What is the closest to 10\/7 in 13, q, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -1\/3, 2\/13, -0.13, -2\/9 in decreasing order.\nAnswer: 24, 2\/13, -0.13, -2\/9, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 315\/9*8\/40. Solve -y*k = -8 + 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**3\/4 + 93*i**2\/4 - 589*i\/4 + 495\/4 = 0. Calculate i.\nAnswer: -99, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 787 (b) -6 (c) -0.2 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6352.270359 - -6357.16. Let m = h - 4.89. Round m to five dps.\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - 17*k**2 - 24*k - 118. Let f be o(-16). Solve -2*q - 12 = -f for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-96)\/128 + 3 + (-52)\/16?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -18640897, -37281789, -55922681, -74563573?\n\"Answer: -18640892*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r**2 - 531768*r - 42515840 = 0. Calculate r.\nAnswer: -132862, -80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3006 is divided by 35.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -293 - -517. Let p = 223.999999532 - h. Round p to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 95 and 41158484?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 - 44524*l + 356250. Give t(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20878 and 1573.\nAnswer: 229658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.55948 * -0.3.\nAnswer: -0.767844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -222*k - 232*k + 58*k + 55*k to i + g*k and give g.\nAnswer: -341","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 588 or 558?\nAnswer: 558","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 4652122\nAnswer: 1\/4652122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - x - 3. Let b be g(6). Suppose -2*t + b = 3*r + t, 0 = 3*r - 3*t - 39. What is the remainder when 42 is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1901a + 277?\nAnswer: 19296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, 10, 48, 86, 124?\nAnswer: 162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(2\/(-7) + 405\/945). Which is the biggest value? (a) 0.3 (b) -181 (c) 1 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-124)\/(-21) - (-12)\/126. Solve -d = -p*d - 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/15 (b) 1 (c) -16\/5 (d) -2\/19 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.03 + -2. Let y = j - -1.97. Let f = 8 - 11. Which is the nearest to 1? (a) 0.1 (b) y (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 193579794 to the nearest integer?\nAnswer: 13913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 39976, 159826, 359578, 639232, 998788, 1438246?\n\"Answer: 39951*s**2 - 3*s + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-1)*(-4 - -5). Does 17 divide (3 - 2) + i - -63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*c + 15170 = 12830 for c.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1461?\nAnswer: 3, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-162)\/(-648))\/(12\/9)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 240639582.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 27\/3 + -13?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 41*r**2 + 0 + 42*r**2 + 43*r**2 - 133*r**2 + 6*r + 1. Let a(p) = -8*p**2 + 7*p + 2. Calculate -6*a(b) + 7*c(b).\nAnswer: -b**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -390*b + 694*b - 2 + 0 + 1125*b - 1 as f + t*b and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 - -134. Suppose -3*q + 4*a + t = 0, q - a = -2*a + 22. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 12*w. Let g(n) = -n. What is g(x(s))?\nAnswer: -s**2 + 12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of p**4*u**2 - 2*p**4 - 20*p**3*u**3 - 117*p**2*u**3 - 2*p**2*u wrt p.\nAnswer: 24*p*u**2 - 48*p - 120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -7*i**2. Let o(n) = -30*n. What is y(o(c))?\nAnswer: -6300*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 + 6*w. Let s be t(3). Suppose -3*l - 18 = -2*v + 1, -v + 2*l = -11. What is the second derivative of -4*h - s*h**4 + v*h**4 + 2*h wrt h?\nAnswer: -48*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2662 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 9:56 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4, 5, -0.5, -49, -2\/81, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -6 (b) -0.7 (c) 0.159 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1033694733 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - -4. Let d be 8 + -2 + -1 + 3. Suppose -3*f + 2*t + 16 = 0, -t - 1 = f - d. Solve -2*k - c = -f*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -379*b + 150 = -394*b for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -11.8. Let i = z - 1. Let p = i + -0.3. Is -0.1 greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millimeter in micrometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-66222)\/(-11886))\/(3\/21).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of 5*p**4\/2 + 4*p**3 + 4. Find the third derivative of s(x) wrt x.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - -52 - 3) + -41 + 40 + -11 + 4?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 10:59 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1167 + -673. Let o = p + -494.11. What is the third smallest value in -4\/7, o, 6\/5, -0.4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 100, 0, 4, -199 in descending order.\nAnswer: 100, 11, 4, 0, -199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + -340264?\nAnswer: -340261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 3:00 AM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*-1*sqrt(210))\/(sqrt(10)*-2*-5))\/((sqrt(15)*-3)\/sqrt(5) + (sqrt(9)\/sqrt(3) - sqrt(3))*2).\nAnswer: -sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y - 40 = -9*y. What is the tens digit of ((-22)\/6)\/(y\/330)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 9*n + 12. Let s be r(4). Let v be (116\/8 - 0)*s\/2. Suppose -4*g + v = 2*g. Is g a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 - -13.78. Let c = -1 + 1.08. Let n = c - f. What is the nearest to -2 in 2\/5, 0, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18293000 to the nearest one million.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -191*s + 97815 - 100298 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 57616970 to the nearest integer?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vdvvuvlbllldlvlvl. Give prob of sequence bldl.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -26*i + 92 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4c + -5?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26211 - 15159. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 29, 15, 0, 6, -4, 31 in ascending order.\nAnswer: -4, 0, 6, 7, 15, 29, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -11969*c**4\/4 - 1550*c**3\/3 - 3*c**2\/2 - 3568. What is the third derivative of i(t) wrt t?\nAnswer: -71814","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a - 2*a**3 + 86*a**2 - 73404 + 73318 + 0*a = 0. Calculate a.\nAnswer: -1, 1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3.030703 millilitres?\nAnswer: 0.003030703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -70223945 or -70223946?\nAnswer: -70223946","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/16233324 and 5\/8.\nAnswer: 32466648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 172 + -173. Let f be ((-12)\/(-3) - 6) + 77\/33. What is the second biggest value in o, 0.068, f?\nAnswer: 0.068","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -4*j - j. Let h = -5 - j. Let b be (-1 - (h + 1))*1. Is 0 at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkz when three letters picked without replacement from {z: 2, v: 1, k: 7}?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 12945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 5*t. Suppose t = i - 4. Solve i*k = 8*k + 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.2 - 7.034. Let o = 0.09 - -0.03. Let m = c - o. What is m rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*d**2 - 37951*d - 87 + 37951*d + (-1 - 1 + 1)*(3 - 3 + d**2).\nAnswer: -16*d**2 - 87","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuzzzunuuuzzzun. What is prob of picking 2 n?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3*w**3 - 14*w**2 + 6. Let n be -1 + -3 + (-2 - -36). Suppose 0 = -16*y + 11*y - n. Does 30 divide r(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -464 - -408. Let w = 349 - 275.9. Let y = q + w. What is y rounded to zero dps?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 59 = y - 3*y + 60, 5*y + 4 = 4*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/(-210) + (-136)\/48\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 174 and 855?\nAnswer: 49590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -506 + 1948. What is the units digit of u\/119 - 4\/34?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -a - 72, -7*a + 5 + 42 = -u for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p*p**(2\/29)*p)))\/(p**(2\/11)*p)*p*p**(-4\/5)*p*p**(-2))\/((p*p**(-2\/7))**(1\/79)\/(p**2\/p)**(3\/19)) assuming p is positive.\nAnswer: p**(3955053\/16758665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of -q**4\/4 + 5*q**2 + 10*q + 42. Let f(y) be the first derivative of r(y). Let g(u) = 2*u. Calculate f(g(x)).\nAnswer: -12*x**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -5. Let y be ((-84)\/f)\/(4\/10). Suppose -4 - y = -z. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + -3)\/8*(-9 - (-1629)\/189).\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2216, -2247, -2246, -2213, -2148?\nAnswer: -2051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/2 - 952\/(-224)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*c = 4*c - 1, 3*h + 25 = -5*c. Let i be (1 - 1)\/(-5) - h. Solve -a - 3*q = q + i, -2*a - 3*q - 10 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 5 = 3*t + 2, -4*h + 1858 = -3*t + 1815 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1861861648 to the nearest integer?\nAnswer: 1230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2420841?\nAnswer: 3, 806947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 62963, 125935, 188907?\n\"Answer: 62972*v - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 367843 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -4, -5, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -391475 - 199*p - 5*p**2 + 391475 + (1 - 1 - 1)*(3*p**2 - 3*p**2 + 2*p**2) + p**2 + 3*p**2 - 3*p**2 in the form u*p**2 + a*p + g and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 25873073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.98 - 4.\nAnswer: -1.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z + z - 4. Let y(j) be the third derivative of -1\/12*j**z - j**2 + 0*j + 0 + 0*j**3. Let f(r) = 2*r**2. Calculate y(f(b)).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.4? (a) -3 (b) 0.2 (c) -1 (d) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 5*i**2 - 50*i + 246. Let k be t(5). Let n(c) be the first derivative of c**4\/4 + 2*c**3 - 3*c - 7. What is n(k)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 173*g**3 - 2*g**2 - g + 2. What is the hundreds digit of k(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.24 from 403526.\nAnswer: 403525.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 119*q - 35. Let a(r) = 7*r - 2. Determine 35*a(h) - 2*t(h).\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14e2a (base 15) to base 6.\nAnswer: -1235351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 divided by -21.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 436\/7 - 62. Sort 0.2, 3, w, -1.\nAnswer: -1, 0.2, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 17. Let n be ((-116)\/12)\/(4\/i). Let u = n + 59\/4. What is the third smallest value in 0.1, u, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -q**5\/20 - q**4\/12 - q**3\/6 - q**2\/2 + 57*q. Calculate a(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and 2119.51.\nAnswer: 2119.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1251.\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 9*o**2 + 2*o + 3. Let f(w) = -8*w**2 - 2*w - 2. Suppose 24*n = 20*n + 15*n + 55. Calculate n*f(q) - 4*y(q).\nAnswer: 4*q**2 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -83 + 77. Let k(f) = f**3 + 6*f**2 - f - 1. Give k(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100369 is divided by 3717?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 8408 and 8415 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 6*f**2 + 7*f + 2. Let x be n(-7). Let g(v) = 0*v - x*v - 2*v - 1 - 3*v**2 + v**2. Let y(t) = 3*t**2 + 6*t + 1. Calculate -7*g(j) - 5*y(j).\nAnswer: -j**2 - 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2)*p)**(-19\/5))**(-18)\/((p\/p**(5\/6)*p**6)\/(p*p**(-2\/3)*p*p**(-2\/25))) assuming p is positive.\nAnswer: p**(-10997\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -58 - -106. Suppose -2*f = 3*z - 80, z + 12 - c = -3*f. What is the remainder when 71 is divided by z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(272) - (1 + sqrt(272) + sqrt(272)) - sqrt(272)))**2.\nAnswer: 32*sqrt(17) + 1092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4554507?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/3*153\/2?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by 14489\nAnswer: 9\/14489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45224 is divided by 335.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*3\/(3\/23). Let w = n + -19. Let p be ((-4)\/(-6))\/(1\/(-3)). Put -5, p, w in decreasing order.\nAnswer: w, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**4 - 3*z**4 + 2*z**4 + (-4 - z + 4)*(-2*z**3 + 3 - 3))*(505 - 803 - 916).\nAnswer: -3642*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from {g: 9, n: 1, u: 1, x: 3, h: 3, b: 1}.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -8\/5, 2\/37 in descending order.\nAnswer: 2\/37, -8\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 230 and 55184498?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w - 14*w**3 - 5*w + w.\nAnswer: -14*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4357, -8717, -13077, -17437, -21797, -26157?\nAnswer: -30517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10370 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -227663*u - 363970.\nAnswer: -227663","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - -1)*(4 + 1). Let y(t) = -254*t + 9. Is y(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k**2 - 13*k - 4. Let y be n(5). Let i be (18\/15)\/(3\/12170). Suppose -i = -y*l + 562. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 35.9, 4, -3 in decreasing order.\nAnswer: 35.9, 4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 985 = -4*v, -v - 2 = 2*i - 667. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 879 is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 355 + -351. What is the lowest common multiple of 14 and t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 4 = -4*v. Suppose 0*s - 14 = 4*t + 5*s, 8 = -4*t - v*s. Calculate the lowest common multiple of 7 and t*(-12)\/3 - -2.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 7) to base 5\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 760, 18, 2\/11?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5036 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2. Let y(b) = -3*b + 12. Let c(k) = 6*p(k) + y(k). Let m(u) = -3*u. Give 4*c(w) - 5*m(w).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -344 - -606. Is i a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1698 + 15*a - 14*a + 710.\nAnswer: a + 2408","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jx when two letters picked without replacement from jttpajtjxjatajj?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 96647\/6 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*q = 195*q - 36 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.2 - -2.8. Which is the closest to -1? (a) 1 (b) g (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 4:52 AM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 703000 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13310 (base 4) to base 11.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294 is divided by 107?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 11117289?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 3\/22, 3, 44.\nAnswer: 3\/22, 2\/3, 3, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 20.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*v - v. Let l = -7 + 19. Suppose v*t - l = -4*x - 2, 0 = 5*t + x - 16. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (12 + (-5 - (1 - 3))) - -10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b203a (base 12) in base 7?\nAnswer: 4040446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 2 = -26*c, -59*q = 3*c - 55*q + 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -340687 > -342852?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 92159611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((l + 0 + 0)*(4*l - 4*l + l) - 4*l**2 - 2*l**2 - l**2 + (-l + l - 2*l)*(0*l + 4*l - 3*l))*(3*l**2 + l**2 - 3*l**2).\nAnswer: -8*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-12)*f)\/f**(1\/4) assuming f is positive.\nAnswer: f**(-45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l. Let f(w) = 22*w - 6. Let a be f(-2). Let t(i) = 3*i**2 + 2. Let b(y) = -35*y**2 - 25. Let g(v) = a*t(v) - 4*b(v). Give q(g(d)).\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + (sqrt(112) - (sqrt(112) + 3 + -2)) - 2*sqrt(112)*6)**2.\nAnswer: 88*sqrt(7) + 13553","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 3. Suppose 0 = -4*p + 5*d + 62, 3*p = p + r*d + 30. What is the remainder when 37 is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 978142 is divided by 69768?\nAnswer: 1390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 7*l**2. Calculate the remainder when 12 is divided by z(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**15\/i**(2\/7)*(i*((i**(1\/2)\/i*i)\/i)\/i*i)**(-2\/21) assuming i is positive.\nAnswer: i**(44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 3357355.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 6:48 PM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44.110631 - 115.\nAnswer: -70.889369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 + 39 = 8*g. Suppose 8*x = g*x - 25. Let p = 1.16 - -0.84. Which is the second smallest value? (a) -0.6 (b) p (c) x (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (184\/(-16))\/((-1)\/2). Suppose 7*d + m = -5. What is the units digit of (33\/9 + d)*(-135)\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/8 in 5, -3\/7, 0.3, -5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**5 - 651*w**4 + 5058*w**3 - 8754*w**2 - 5061*w + 9405 = 0.\nAnswer: -1, 1, 3, 5, 209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -441 and -3.1.\nAnswer: 1367.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 5:30 AM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -235456 divided by 29432?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 16610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c - 2 = -15*c. Is 5\/17 less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - 11*p + 11*p)*(-5*p + 0*p + p)*(-4 - 2*p + 4) + (p - 4 + 4)*(-4*p**2 - p**2 + 4*p**2).\nAnswer: -9*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*h - o - 22 = 40*h, -o + 28 = 5*h. What is the lowest common multiple of 45 and h?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f + 9. Let x be v(0). Let y = 13 - x. Suppose 2*n = n + y. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f*r**3*s - 31*f*r**2*s + 2*f*s**2 + 110632*r**3*s**2 - 14*r**2*s + 256*r**2 wrt r.\nAnswer: 6*f*s + 663792*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**2 - o**2 - 4*o**2)*(2*o**3 - 1 + 1) + (2*o + 0*o + o)*(-2 + 4 - 3)*(-17986*o**2 - o**4 - 25 + 17986*o**2).\nAnswer: o**5 + 75*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 380, 12, 1 in descending order.\nAnswer: 380, 12, 7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 90.00000172 + -90. What is k rounded to seven decimal places?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/11 (b) 2\/13 (c) -7\/4 (d) 30 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-33)\/((-726)\/(-22)))\/((-3)\/(-1)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2\/319)\/(7788\/128502)\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 21*r - 7 = -22*r, -v - 19 = -4*r for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, i: 2, u: 1, x: 1, e: 2, h: 5}. Give prob of picking 2 e.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.919181 days to nanoseconds.\nAnswer: 165817238400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19110527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -0.5, -6\/5, 429?\nAnswer: 429","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -25*y**2. Let z(l) = 12602 - 12602 + 2*l**2. Let j = -6 + 46. Give j*z(r) + 3*v(r).\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (((-40)\/16)\/((-25)\/(-15)))\/((-6)\/40)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -o - 1, -4 = 5*o - o - q. Let s = 4.98171 + 0.01829. Which is the second biggest value? (a) 2 (b) s (c) 3 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(68)\/(sqrt(1960)\/sqrt(10)))**2.\nAnswer: -32\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-615 + 325 - 423)*(-2*s**2 + 1 + 40*s + 4*s**2 - 41*s + (-2*s - 3*s + 4*s)*(2*s + 0*s - 3*s)).\nAnswer: -2139*s**2 + 713*s - 713","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(2 + (-7)\/4). Let d = -9219.1 + 9219. Which is greater: w or d?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/8)\/((-42)\/8)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 726 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*t - 19*t - 23*t.\nAnswer: -35*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1048 + -668. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1301.\nAnswer: 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-26)\/6 + 9\/3. Let n = 24 - -1. Let h = -27 + n. Is h > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11645733*m**2 - 17827209*m - 1?\nAnswer: 23291466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.24, -4, 5 in decreasing order.\nAnswer: 5, 0.24, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 31110676 divided by 7777669?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -20201?\nAnswer: -20122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 635874140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -2 - 10\/5*3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + (-1995)\/(-60) + 1\/(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25.42 + -0.08. Let t = 27.5 + s. What is the closest to 12 in t, -3, -0.07?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 12122 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 396 (b) -7 (c) -1\/52 (d) -1\/4 (e) -0.5 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 2*i - x - 922, -2*i + 2*x + 616 = 0. Suppose -2*m = 4*r - 130, 4*m = r - 20 + i. What are the prime factors of m?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 5*k = -3170 + 22540, 0 = -s - 5*k + 3870. Calculate the greatest common divisor of 155 and s.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*h**3 + 158 - 158 - 35*h**3.\nAnswer: -46*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + v - 3*v)*(124*v + 299*v + 32*v)*(0 + 0 - 2).\nAnswer: 1820*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 15260337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/265, -3, -10, 36, 1\/4, 0.7 in descending order.\nAnswer: 36, 0.7, 1\/4, -2\/265, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -1305*b + 15615. Give o(12).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29330 and 2240?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -54580638291.8 and -17.\nAnswer: -54580638308.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6899*c*l*m**3 - 5*c*l*m**2 + c*l + 33*c*m - l*m**2 + 7*m**2 wrt m?\nAnswer: 41394*c*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8787.142 + -8810. What is z rounded to 1 decimal place?\nAnswer: -22.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - (0 - 37783\/(-16527)). Let z = 1\/2361 + t. Let s = 1987\/39 - 450\/13. Calculate the common denominator of z and s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**5\/q*q*q\/q**(-2\/41)*(q*(q**(-1)*q)\/q*q)**29 assuming q is positive.\nAnswer: q**(1437\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**5\/5 + 51*x**4 + 2658*x**3\/5 - 6344*x**2\/5 = 0. What is x?\nAnswer: -244, -13, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3*w = -25, -4*w = -5*q + 2*q - 24. Let o = q - -12. What is r in 3 + 9*r**2 - 3 + o*r**3 - 4*r - 6*r**4 + r**2 = 0?\nAnswer: -1, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.51 + -3.51. Which is the nearest to t? (a) -4\/5 (b) -2 (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -17*z + 14*z. Suppose z*s - b = 196, -s + 2*b = b - 40. What are the prime factors of s?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-4*4*(sqrt(72) + -1) + 0)*2)**2.\nAnswer: -12288*sqrt(2) + 74752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 77009292?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t - 416*t**4 - 413*t**4 + 64*t**2 - 424*t**4 - 2*t**3 + 1249*t**4 to l*t**2 + s + o*t + q*t**4 + j*t**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - s + 2*s)*(-67 - 51 - 39 + 234).\nAnswer: 154*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ryyeyyeyyueryz. Give prob of picking 1 z and 3 y.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/5 (b) -0.1 (c) 601 (d) -0.4 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40600?\nAnswer: 2, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of -i**4\/24 + 14*i**2. Determine c(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -34*w. Let q(a) be the second derivative of -a**3\/3 + 6*a + 4. What is h(q(g))?\nAnswer: 68*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -524988, -1049805, -1574622, -2099439, -2624256, -3149073?\nAnswer: -3673890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 2 + (-17 - 124 + 14)*(12 - 29 + 16))*(-2*l - l + 4*l).\nAnswer: 131*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r - 3. Let b be h(3). Let g = b - 4. Solve -g*u + 5 = 3*a - 6*u, 1 = -5*a + 2*u for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6595082 is divided by 165.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, g: 4, n: 2, x: 3, s: 6}. Give prob of sequence gjg.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*l + t = 33*l + 8, 2*l + 6 = t + 2 - 4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 16431?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39\/20 + 6\/5. Let c = -101\/3 + 33. What is the nearest to c in h, 2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) -2 (c) -0.1 (d) 0.3 (e) -6 (f) -7.81\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2763\/28741 + 1\/701. Which is the second biggest value? (a) -0.5 (b) k (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -g**5\/30 - 370*g**2. Let r(d) = -11*d**2 - 4*d. Give t(r(z)).\nAnswer: -242*z**4 - 176*z**3 - 32*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 5497*h**2 - 3677*h. Let a(f) = 1835*f**2 - 1226*f. Let p(r) = 8*a(r) - 3*n(r). Find the second derivative of p(o) wrt o.\nAnswer: -3622","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4543 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: Let a = -760 - -761. Let u be (-64)\/(-24)*3\/2. Put -1, u, a in ascending order.\nAnswer: -1, a, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -155297, -155295, -155291, -155285?\nAnswer: -155277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3342495?\nAnswer: 3, 5, 13, 61, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 778569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2*w - 3 = 0, 4*z + 0*w + 3*w = 23. Suppose -3*p - 54 = -66. Solve -3*j = -z*o + 26, 4*o = -p*j + j + 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 - r. Let o be m(-1). Suppose o = -5*j + 3*l + 91, 0 = -3*j + 2*j + 4*l + 25. Suppose 3*h = 12, j = -3*y - 0*y + 5*h. Solve -3*v - 5 = y for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2426\/21 + 231\/2. What is the second smallest value in 4, f, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -766615*f**2 - 4264661*f wrt f.\nAnswer: -1533230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - ((-2 - (3 - 7)) + -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 5*a - 25, 2*n + 4*a + 0 = -2. Is n + (85 - -1) + 2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -242 - -238. Which is the closest to 1? (a) 1 (b) t (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -1372*j - 1. Let z be o(3). Let d = -1783 + z. What is d rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 0*b - 46034 = -2*t, 2*b + 115107 = 5*t. Suppose t = d - 377977. What is d rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -92*g + 223. Let k be i(17). Let d = -2667\/2 - k. Factor 3\/2*f**2 + 9*f + d.\nAnswer: 3*(f + 1)*(f + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + 6*a + 5. Let c be n(-5). Let y = 6 + -8. Let d = c - y. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1820\/(-6370))\/((-18)\/7)*-60?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 15. Find the first derivative of -4 - b*i**2 + 4*i**2 + 3*i**2 + 4*i**2 wrt i.\nAnswer: 14*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313 is divided by 40.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and -55.1689.\nAnswer: -54.9689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5111356417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r. Suppose -5*h + 7 = -8. Suppose -4*m - z = 0, 2*z + 13 = 5*m - 0*m. Let f(s) = -s. Let v(t) = 4*t. Let l(y) = h*f(y) + m*v(y). What is a(l(d))?\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffff when four letters picked without replacement from fffffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34872 and 278976.\nAnswer: 278976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15287858 is divided by 43.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)*-2 + (sqrt(180) + -1)**2)*4 - (5 + (sqrt(320) - (2*sqrt(320) + -5))).\nAnswer: -56*sqrt(5) + 714","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3179 or 41334\/13?\nAnswer: 3179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 38105719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17652.27 millimeters to nanometers.\nAnswer: 17652270000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c**2. Let o(p) = -4*p**2 - 447*p + 21. Calculate o(z(b)).\nAnswer: -16*b**4 + 894*b**2 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p. Let l(k) = k**3 - 3*k**2 - 4*k + 4. Let o be l(4). Let t(w) = 0*w - w - 6*w + o*w. Calculate t(y(c)).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 1. Let m(u) = 4*u**2 + 0*u**3 + 6*u - u**3 + 25 - 30. Let n(c) = m(c) + 4*s(c). Is n(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8315 + 652 = -427*d for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (329652\/(-64))\/(1*2659). Let b = f + -1\/2659. Calculate the common denominator of (123\/120)\/((-4)\/(-10)) and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 9, d: 2}. Give prob of sequence vvdv.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 1:32 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 30 - 406?\nAnswer: -396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 10*z**2. Let k(n) = 18490*n**2. Determine p(k(x)).\nAnswer: 3418801000*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -1. Suppose 5*k + 4*d - 6 - 23 = 0, h = 4*d - 4. Suppose -k*w + 35 = 5*q, 0*q + w = 4*q - 23. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 115 = -6*i. Suppose 2*c + 105 = -0*f + 3*f, 5*f + 3*c - 156 = 0. Let p = f + i. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -803.1 and -0.084.\nAnswer: -803.184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-132399)\/308931*(-1)\/(-24)*-2?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/32*(36\/(-30))\/(297\/(-110))\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - -26177511.\nAnswer: 26177500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 473590 to the power of 1\/4, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 1, 0, -1, 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -43*y + 37*y. Let r(d) = 9*d - y*d + 7 + d. What is r(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3\/5 (b) -26 (c) -2 (d) -4 (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -59*t**3 + 7*t**2 + 5987*t.\nAnswer: -354*t + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-15)\/(-10))\/((-9)\/(-12)). Suppose -c*l - 2*l + 42 = r, 16 = -4*l. Suppose -g + r = g. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 36\/24*(-12)\/(-2). Calculate the highest common divisor of b and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, e: 5, m: 5, g: 5, i: 1}. What is prob of sequence ig?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -17\/6, 0, -0.094, -1\/2, 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (51\/918)\/((-1)\/(-40)). Let -8\/9*r - 4*r**3 - 4\/9*r**5 - f*r**4 - 28\/9*r**2 + 0 = 0. Calculate r.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -5. Suppose 5*i + 17 = 4*a - k, -2*a + 4 = 4*i. Suppose -2*w = -5*f + 143, a*f - 70 - 30 = -2*w. 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 ((-2 - 5) + -2 - -8) + -12 + -2?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-7) - (332\/2988 - 55\/9)?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-234 + 5)\/(0 - 1). Let b(d) = 455*d**2 - 3 - z*d**2 - 2*d - 228*d**2. Determine b(-4).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 70823623?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-5*sqrt(176))\/sqrt(11))\/(-2*2*sqrt(80)\/sqrt(10)).\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*i - 5 + 5)*(4*i**2 - 6*i**2 + 0*i**2) - 11*i**2 + 9*i**2 + 2*i**2 - 56*i**3 - 177*i**3 as p*i**2 + y + x*i + t*i**3 and give t.\nAnswer: -241","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 10*w**2 + 171*w. Let b(n) = 2*n. Give b(a(k)).\nAnswer: 20*k**2 + 342*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000022512 rounded to 6 dps?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 21 = 3*g + 35, -5*g - 4*x = 40. Let b be ((-128)\/g)\/(-4)*-3. Calculate the highest common factor of b and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*o + 3*g - 0, 5*o = g. Let z(d) = 61*d**2 + 1. Let w be z(o). Round w to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3249*h. Let m(i) = i. What is m(r(x))?\nAnswer: -3249*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -88420912 by -22105228.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8351844*w**3 + 2*w**2 - 2*w - 2450113 wrt w.\nAnswer: -50111064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 181401238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 73 - 52. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/2, -0.1, -3, 50.6, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/15353926 and -37\/3370374?\nAnswer: 138185334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1162685807?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -187, -874, -1441, -1414, -319, 2318, 6971, 14114?\n\"Answer: 79*h**3 - 414*h**2 + 2*h + 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -36.9 (b) -1\/6 (c) 2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-z - z + 0*z)*((647 - 647 - 20*z)*(3 - 3 - 1) + z + z + 0*z) as j*z + o + k*z**2 and give k.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5630 in -3, -40\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16 is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - -10) + 11 - (3 - 4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 + 2*o**4 + (67 - 6*o - 67)*(-4*o**3 + 2*o**3 + 0*o**3) + o**4 - 4*o**4 + 4*o**4 to s*o**3 + h*o**4 + a*o + n*o**2 + m and give h.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 116 = -8*q - w, w - 13 + 2 = -3*q - q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*k**2 + k - 31*k**2 - 23*k**2.\nAnswer: -2*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -138.6617 rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41.716 + 0.184. Let h = 42 - d. Which is the closest to 6? (a) h (b) -3 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 (base 7) in base 8?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b4081 + -69?\nAnswer: b4015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-3)*90\/315.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g - 3. Let c(r) = -r**2 + 65*r + 66. Let y(b) = c(b) + 5*k(b). Find the first derivative of y(q) wrt q.\nAnswer: -2*q + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -12. Suppose p = -t*p + 1052. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -24*m**2 - 4*m - 1. Let i(a) = -52*a + 3. Let g(f) = 16*f**2 - 49*f + 4. Let b(q) = 3*g(q) - 3*i(q). What is -2*b(y) - 5*n(y)?\nAnswer: 24*y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(((j**(-4\/3)\/j)\/j)\/j))\/j**(-7))\/(j**(1\/3)\/j)**(-4\/3) assuming j is positive.\nAnswer: j**(103\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40 - 36 - 20) + (13 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -18*s**3 - 4*s**2 + 6*s - 6. Let b(d) = 17*d**3 + 3*d**2 - 5*d + 5. Let n = 6264 - 6258. What is n*b(c) + 5*h(c)?\nAnswer: 12*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zul when three letters picked without replacement from {u: 2, l: 2, z: 1, d: 3, t: 1, m: 10}.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2828578 divided by -2?\nAnswer: -1414289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-73966.\nAnswer: 14793.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 4. Let n = -676.2 - -591. Let c = -85 - n. What is the third smallest value in c, t, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*m = -99406 + 98416 for m.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (-60)\/35*924\/(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*d - 1152 - 720 = 0 for d.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i**3 - 26*i**2 + 34*i + 35. Calculate h(10).\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -126*(-2 + 3 + -2)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 8) to base 6\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*n + 216 = -181*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 4*d - 24 = 0. Suppose a - d*a + 180 = 0. Does 9 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of i**5\/30 + i**4\/24 - 420*i**2. Let t(n) = -n**2. Calculate l(t(o)).\nAnswer: 2*o**4 - o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -5*w - 100, -959136*w + 959140*w - 4*o - 80 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-237222)\/10 - (18 - (-2976)\/(-155)). Round p to the nearest one hundred.\nAnswer: -23700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (3 - 4)\/(8\/(-49)) and ((-2668)\/(-348))\/(-21*(-10)\/45).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33244 (base 15) in base 6?\nAnswer: 3252214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6\/13 (b) -7\/31 (c) -5.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 26 (b) -1 (c) -8 (d) -1\/10 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 205780 rounded to the nearest one thousand?\nAnswer: 206000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 90?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.4 + 2.29. Let m = o + 0.110022. What is m rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4410304 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 894088 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-5 - -5 - (-5 + -1))) + 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.30284 to two decimal places.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**2 + 3*b**2 - 2*b**2)*(-b + 1 - 1) + 2*b**3 + b**3 - b**3 - 9*b**3 - 14*b**3 - 2*b**3 + 2*b**3 - 1 + 1 - 4 - 3 - 27*b**3 + 22*b**3.\nAnswer: -25*b**3 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219054.\nAnswer: 2, 3, 11, 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -975, -4013, -9113, -16305, -25619, -37085, -50733?\n\"Answer: -5*q**3 - 1001*q**2 + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1316711 and 239402?\nAnswer: 2633422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3618 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 172044 and 53136.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (45\/27)\/((-15)\/(-162)). Suppose 4*g = 2*j + 207006, -h*g + 3*j - 103483 = -20*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -86763 divided by 3515\nAnswer: -86763\/3515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, 5, -5, 4.\nAnswer: -45, -5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-203)\/29 - (1 + (-534)\/66)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27215, -12391, 12315, 46903?\nAnswer: 91373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -r**2\/3 - 745*r\/3 - 18122 = 0?\nAnswer: -663, -82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*u - 3*v, u + 2*u - 8 = -4*v. Let f be u + 1 - 5*1. Is 153\/6 - 2\/f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3 = -1. Let x be (-139)\/2 - (-1)\/2. Let c = -54 - x. Solve s*w + w = -c for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2 + (-3 + -1*sqrt(5))**2.\nAnswer: 13 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1475, -1476, -1477, -1478, -1479, -1480?\nAnswer: -1481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) - (sqrt(72)*-3)\/sqrt(12))\/sqrt(2)*3.\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1640 and 656?\nAnswer: 3280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207478 is divided by 1570?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k + 679*a + 355 + 293 + 91, a = -4*k - 81 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 8*l**2 - l - 5. Let j be k(-8). Suppose 2*g = -2*t - 3*g, j*g = 4*t - 52. What is the greatest common factor of 10 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65739 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/9)\/((-6)\/(-9)*24\/(-16)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, s: 16}. Give prob of picking 4 s.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 38*g**2 + 79*g + 93. Calculate w(40).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35 - 22. Suppose 0 = -5*x - s + 54, 2*x + s - 8 = b. Suppose 8*n = x*n. Are 1 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zaaz when four letters picked without replacement from aaaaaazaaaaazaaaaaa?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -199 - -211. Solve -7*j = -u*j - 20 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2284980 and 913992.\nAnswer: 4569960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -52*j + 49*j + 3*j**2 - 2*j**2. Is 9 a factor of q(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2 - -2) + -488003)\/(-1). Suppose t = -v - v + 243994, v = 2*t - s. Round t to the nearest ten thousand.\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -118 - -4a?\nAnswer: -9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13ccb + 33?\nAnswer: -13c98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 499311532 to the nearest integer?\nAnswer: 793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 14*o**2 + 15*o - 16. What is the tens digit of w(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of v**5\/30 - v**4\/8 - 5*v**3\/3 - 6*v**2 - 9. Let h(j) be the second derivative of z(j). Does 27 divide h(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + 0. Let v(s) = s**3 + 5*s**2 + 6*s + 3. Let y be v(-4). Let o = y + 6. Which is the second biggest value? (a) f (b) o (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*l + 3*a = 1, 5*l + 3*a - 17 = 0. Suppose 0 = l*n + 58 + 1822. What are the prime factors of n\/(-25) + 1\/5?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3629d5 (base 14) to base 15.\nAnswer: -268872","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 bigger than 28075?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -25523?\nAnswer: 2551a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 536 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (3 - (7 + 0 - (-26 + 33))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from angggggma. What is prob of picking 2 m and 1 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -416*t = -418*t - u + 10, -20 = -3*t - 4*u for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.7 + 3.6. Let v = r + -7. Sort v, 2, -2\/7.\nAnswer: -2\/7, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (25\/(-4))\/((-2890)\/3468)?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - u**3 - 2)*(36 + 9*u - 36)*(52 + 44 - 6) as m*u**4 + l*u**3 + g + t*u**2 + x*u and give m.\nAnswer: -810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 131249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 483171683?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 899749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3 = -v, -12 = 5*t - 4*v + 10. Let j = t + 8. Solve j + 0 = 2*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 18*b + 41. Let r be x(-2). Put -101, -0.5, r, 3\/2 in increasing order.\nAnswer: -101, -0.5, 3\/2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 5*y + 26 = 0, -5*y - 22 = -0*w - w. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 109888919, 109888912, 109888903, 109888892, 109888879, 109888864, 109888847?\n\"Answer: -r**2 - 4*r + 109888924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - (-20 + 26)) + -23 + -24?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 divided by -7?\nAnswer: -689\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkckkcckcckcckkkccp. Give prob of picking 2 k.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**3 - 7*f**2 + 5*f + 30. Determine i(6).\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -13*x**3 - 33*x**2 + 9*x - 11. Let w(u) = 3*u**3 + 8*u**2 - 2*u + 3. Let h(p) = -2*d(p) - 9*w(p). Let r be ((-6)\/(-1))\/(4\/(-4)). Give h(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 4*z + 655 - 33, 6 = 3*z. Let f = r - -141. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64051 * 0.5\nAnswer: 32025.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of q**4\/24 - 41*q**3\/6 + 5*q**2 - 16. Calculate l(-23).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**4 - 2696*z**3 + 591180*z**2 - 37045000*z + 170781250 = 0 for z.\nAnswer: 5, 125, 1093","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g**3 - 69*g**2 - 771*g + 3. Give t(-9).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -85 - -253\/3. Put y, 0.2, -1\/2 in decreasing order.\nAnswer: 0.2, -1\/2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iitvtvvyyvrbvvv. Give prob of sequence yr.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8479847.\nAnswer: 23, 368689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n. Let g(t) be the first derivative of -13*t**2\/2 - 2*t - 3660. What is g(f) - 2*u(f)?\nAnswer: -15*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(720) - ((-1 + sqrt(720) - sqrt(720)) + -3) - (sqrt(720) + sqrt(720)*-1 + -4))*-5*-5 + 2)*-1)**2.\nAnswer: 123000*sqrt(5) + 492025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008864912 to four decimal places.\nAnswer: 0.0089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 32 + 16 + -10 - 5. Solve -6 - 27 = v*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 5*a - 2*a - 6 - a. Let f be z(5). Solve 0*o = -4*o - f for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*c**4 - 9*c**5 + 20*c**2 + 45*c**2 - 15*c**3 + 29*c**5 - 20*c = 0. Calculate c.\nAnswer: -1, 0, 1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pnv when three letters picked without replacement from {p: 4, v: 2, n: 5, a: 8}?\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1683, -1686, -1689, -1692?\nAnswer: -1695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 322023202302 (base 4) in base 16?\nAnswer: e8b8b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 20368678 divided by 11\nAnswer: 1851698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three fifths of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 4957298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3 (b) 1 (c) -11\/8 (d) 4 (e) -8 (f) 0.22 (g) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10.5 - -11. What is the nearest to 2\/7 in -4, 5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1498102*w**3 + 4*w - w - 1498747*w**3 - 3*w.\nAnswer: -645*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -3*v - 15, 30 = 5*z + 2*v. Let o be (z\/(-10))\/((-4)\/30). Solve 2*a = -o - 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 176837844*b. Let m(c) = -c. Give m(j(u)).\nAnswer: -176837844*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (189\/(-2660))\/(186\/(-48) + 4) and -91\/285?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10110000 rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1044306 (base 9) in base 11?\nAnswer: 353414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 483352980?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110011 - 1?\nAnswer: -110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 365690104 to the nearest integer?\nAnswer: 715","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of 27*t**8\/112 + 4*t**7\/105 + t**6\/60 + 4337*t**5\/60 - 6919*t**2. What is the third derivative of a(p) wrt p?\nAnswer: 4860*p**2 + 192*p + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3285 - 13381 = -2*c - 2*r, -4*r = 3*c - 24992. Is 36 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**5\/3 - 2*d**4\/3 + 4*d**3 = 0.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -34*l**2 - 37*l + 16. Let y(u) = -11*u**2 - 12*u + 5. Let z(n) = -n**2 - 24*n + 2. Let o be z(-24). Let j(i) = o*c(i) - 7*y(i). Is j(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-60)\/70)\/((-15)\/70). Let f(y) = y - 1. Let b(i) = 15*i - 4. Calculate t*f(a) - b(a).\nAnswer: -11*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/5*c + 0 - 9\/5*c**3 - c**5 - 13\/5*c**4 + 1\/5*c**2 = 0 for c.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4*t**2 + 2*t + 3. Let v be i(-6). Let f = -45 + v. Suppose 5*x = 5*s + f, 3*x = 7*x - s - 84. Calculate the least common multiple of x and 14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2412 = -10*d, 4154 + 742 = 4*m + 4*d. What is the remainder when m is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-three halves of a gram?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3 or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, -60, -133, -206?\nAnswer: -279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 34040021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (7 + 66\/(-9))\/(1\/3). Is 80 + 6\/(-3) - y\/1 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1778890, -3557780, -5336670?\n\"Answer: -1778890*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5\/8 of a day?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(2\/13)\/c)**(-1\/4))**(-10\/7) assuming c is positive.\nAnswer: c**(75\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33278930 + -50826.23.\nAnswer: 33228103.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiiiiiii. What is prob of picking 4 i?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 - 14. Find u such that 0 - 12\/5*u - 3*u**3 + 36\/5*u**y - 36\/5*u**2 + 27\/5*u**5 = 0.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 85123294?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**5\/4 - 15*x**4\/4 - 5*x**3 + 20*x**2 - 20.\nAnswer: 5*(x - 2)**3*(x + 1)*(x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 33*f**3\/5 + 73893*f**2\/5 + 14254188*f\/5 + 2589228\/5 = 0.\nAnswer: -2026, -213, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3954559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of 11*u**4\/24 - u**3\/6 + u**2. Let y = 118 + -119. Let x be 20\/(4\/y) + 4. Determine t(x).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -63*f**2 + 35*f**4 - 6*f + 11*f**4 + 6*f wrt f?\nAnswer: 1104*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27360 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (31 + (-69 - -27))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 8 - (-4 - (-1 - 0))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -8*r**2 - 57*r - 5. Let f be w(-7). Let j(b) = b**2 + 9. Calculate the remainder when 77 is divided by j(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 139331?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 1:29 PM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 - 43. Let f be (-4)\/d - 56\/36. Which is bigger: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - ((-125)\/2 + -58 + 4074\/84).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1004 (base 6) to base 2.\nAnswer: 11011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z\/((z*z**(-7)\/z*z)\/z)*z)*z\/z**(-21) assuming z is positive.\nAnswer: z**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -223 (base 8) to base 2.\nAnswer: -10010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/l**(-2\/9)*l)*l*l*l\/l**(-5)*l*l)**(2\/71)*((l**0)**5)**26 assuming l is positive.\nAnswer: l**(158\/639)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uoo when three letters picked without replacement from {x: 1, e: 1, n: 1, u: 1, o: 8, d: 2}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 15*f**2 - 27*f + 11. What is the remainder when k(7) is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jmvj when four letters picked without replacement from {j: 2, m: 2, k: 4, v: 1, f: 3}.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(1\/3)*y*y)**(-45)*y**12\/y*y**(2\/5))**(-25) assuming y is positive.\nAnswer: y**3465","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -46*q + 272. What are the prime factors of h(-8)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (35\/(-10))\/((-1)\/12). Suppose 0 = 2*y - 6, -6*y + 365 = q - y. Let f be ((-144)\/180)\/((-4)\/q). Calculate the greatest common factor of f and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3\/344 + 38\/43. Let o = q + -5\/8. Let z = -4.87 - 0.13. Which is the smallest value? (a) z (b) o (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194*(-4)\/240 + (852\/30 - 27)?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3502 * -0.07\nAnswer: -245.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*z + 9*z - 611 = 22*z + 832 for z.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.681668 rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25352, -25353, -25354, -25355, -25356?\nAnswer: -25357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0*l = -2*l - 56, 4*w = 3*l + 219. Let d be (-2324)\/9 - (-12)\/w. Is (4\/6)\/((-4)\/d) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*n**2 - 2*n**2 - 2*n**2 + (-1 + 2 - 2)*(n**2 + n**2 - 4*n**2) - 11360 - 219*n**2 + 11360 to z + f*n**2 + l*n and give f.\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 406*b. Let u(d) = 232*d**2. Give g(u(v)).\nAnswer: 94192*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3326?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b**3 + 3*b**2 - 9 + 2*b - 51 + 47 to p*b**3 + d + v*b**2 + l*b and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 22 (b) 0.04726 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 + n**2 - 2*n**2)*(-21*n + 20 + 20*n - 527*n**2 + 542*n**2).\nAnswer: 15*n**4 - n**3 + 20*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/3))**(4\/23)*z**(4\/11)\/(z*z**(-2\/43)))**11 assuming z is positive.\nAnswer: z**(-21143\/2967)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 26792 - 26791. Let h(n) = n**2 + n. Let s(b) = -6*b**2 - 4*b - 7. What is o*s(d) + 5*h(d)?\nAnswer: -d**2 + d - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away 271.2564453092?\nAnswer: -270.8564453092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 1)*(-2166*z**2 + 755*z**2 - 3 + 1) in the form s + w*z + t*z**2 and give t.\nAnswer: -1411","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -242030 rounded to the nearest ten thousand?\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -a2?\nAnswer: a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 4*m + 28, 5*n - 70 = 2*n - 5*m. What is the remainder when 79 is divided by n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -3*f - 15. Suppose 4*s + s = 545. Let b = s - 19. Calculate the highest common factor of f and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682.1535 minutes in nanoseconds?\nAnswer: 40929210000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -209, 0, -432 in decreasing order.\nAnswer: 0, -209, -432","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 383371094 to the power of 1\/3, to the nearest integer?\nAnswer: 726","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 290 + -2321\/8. Put 0.5, l, 3, -5 in descending order.\nAnswer: 3, 0.5, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 542152116?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 22338, 21451, 19950, 17817, 15034?\n\"Answer: -3*p**3 - 289*p**2 + p + 22629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 37*n - 199*n + 900 + 3*n**2 + 1287 = 0?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 6, 60.\nAnswer: 3, 6, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 790 - 978.8. Let t = -189 - v. Is t >= -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -3*f - 4*z + 7*z, 0 = -2*f - z + 5. Suppose s - 39126 = -f*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(10)\/sqrt(5))**2 - (3*sqrt(6)\/sqrt(3))**2.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v + 18 + 4*v - 2*v. Suppose -12 = 6*f + 72. List the prime factors of u(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 27.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -868095 + 2896833040\/3337. Find the common denominator of a and -8\/11.\nAnswer: 36707","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -131 - -135. Let d(a) be the third derivative of 0*a - 1\/12*a**t + 1\/6*a**3 + 0 - 3*a**2 + 1\/60*a**5. What is d(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5 + (-266235)\/(-19140) + -19 and -11\/2784?\nAnswer: 30624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 29 = -21*t, 0 = -5*t + 39*b - 36*b + 17 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -412, -268, 0.5, -0.4 in decreasing order.\nAnswer: 0.5, -0.4, -268, -412","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -50.36 + 50. Let d = o - 0.14. Sort -5, 2, d, -2\/9 in decreasing order.\nAnswer: 2, -2\/9, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.24 (b) 0.1 (c) -251\/328\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 670596?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 8*k = -4*k + 21, -a + k = -9. Suppose a*q - 2 = 8. What is the hundreds digit of ((-3195)\/(-75))\/((-2)\/(-20)*q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 12.15. Let d = b - -0.85. Let r be -1 + (20\/(-6))\/(-2). What is the nearest to d in -2, r, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -6*c**2 - 8 - c + 9*c + 0*c + c**3 - 5*c. Let y(v) = v**2 - 3. Calculate the lowest common multiple of y(5) and k(6).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -2\/9 (c) 3\/5 (d) 28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, z: 1, u: 1, p: 5, y: 1}. Give prob of picking 1 o, 1 y, and 1 u.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 5:18 AM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 840043 is divided by 1879?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**2 - 48*z. Let b(y) be the third derivative of 0*y**4 + 1\/60*y**5 + 24 + 0*y**3 + 0*y - 2*y**2. Determine p(b(v)).\nAnswer: 2*v**4 - 48*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -814\/65 + 116\/13. Let y = 64207\/46 - 858\/23. Let s = -1392 + y. Calculate the common denominator of a and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1400)\/sqrt(2))\/(sqrt(784) - sqrt(16)) - (5 + (4 + 0 + sqrt(700) + 2 + 0 + sqrt(700))**2).\nAnswer: -2841 - 2875*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -82 - -51. Let t = h - -16. Let a = 14 + t. Which is smaller: a or 2\/13?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -652 - -653. Let u be (-1)\/((h\/4)\/((-19)\/(-76))). Put 5, 11, 4, u in increasing order.\nAnswer: u, 4, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -6*y + 7. Let q(k) = -k**2 + 11*k - 14. Let d(j) = 11*a(j) + 6*q(j). What is the first derivative of d(g) wrt g?\nAnswer: -12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 2*k**2 - 2. Let x(w) = w**2 - 2*w - 2. Let a(i) = i**2 - 16*i + 2. Let p be a(16). Let b be x(p). Determine t(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**2 + 251076*g = 0. What is g?\nAnswer: 0, 125538","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 7:40 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 11. Let m(g) = 2*g + 2. Let d(x) = x + 1. Calculate w*m(r) - 2*d(r).\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 6:28 PM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 37*c**3 - 4*c**2 + 4*c + 2. Let b be x(2). Suppose -4*n + b + 250 = 3*g, -n = -3. Is 11 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57067999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216 is divided by 110.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 280 and 105.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -4126*w**2 + w + 2. Let t be o(2). What is t rounded to the nearest 1000?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 110000101001011?\nAnswer: 110000101001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 352062980?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -60*l**3 + 56*l + 94*l**2 + 4*l**5 + 72 - 2*l**4 - 287*l**2 + 123*l**2 = 0.\nAnswer: -2, -1, 1, 9\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 581 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 160276352 to the nearest integer?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 (base 9) in base 3?\nAnswer: 111112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 46880, 46878, 46876, 46874?\n\"Answer: -2*u + 46882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -w**3\/6 + 7*w. Let u(p) = -29*p**2. Determine g(u(i)).\nAnswer: 29*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -4*l - 24. What is the units digit of i(-40)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -6*o**2 - 2*o + 1. Let b be g(1). Let u = b + 10. Solve 4*n = 2*j, 3*j = u*n - 2*n + 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 7:49 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 11*s**2 + 813*s + 4887. Give z(-6).\nAnswer: 405","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -254970, -1304, -3 in descending order.\nAnswer: -3, -1304, -254970","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -5*b - 2. Let v be x(-1). What is the third derivative of 4*p**2 + v*p**4 + 5*p**4 - 5*p**2 wrt p?\nAnswer: 192*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((42\/3*-1)\/8)\/((-4)\/(-16)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 6 - 22 = 0, -3*k - 2*f = -1196. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -174*m + 422. Give s(3).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 y when three letters picked without replacement from {v: 10, e: 2, z: 4, y: 3}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.014831943 rounded to three decimal places?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3461*d + 19985 with respect to d.\nAnswer: -3461","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 17*l**2 - 71*l - 264. Let r be v(-4). Let s = r + -1458\/5. Suppose -s + 2\/15*g**3 + 14\/15*g - 2\/3*g**2 = 0. Calculate g.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j - 2*j**2 - 5*j + 5*j.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41453014 and 25462.\nAnswer: 878","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o - 2. Suppose -2*h - 4*y + 2 = 10, -5*h + 5*y = 5. Let k be t(h). Solve -z - 3 = -k for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 6*p**2 - 12*p + 7. Let j be w(8). Suppose 81 = 4*c - j. What is the greatest common divisor of c and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1024 - 45436*o + 45437*o + 14612 - 2003.\nAnswer: o + 13633","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 7*r + 24. Calculate the smallest common multiple of 10\/(-15) + (-10)\/r and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -59, -92, -125, -158, -191?\n\"Answer: -33*g - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 0 + (0 - 0) - -9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = 4*m - 4*k + 9, 2*m = 5*k + 22 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2405, -2404, -2403, -2402?\n\"Answer: b - 2406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 3*g**2 + 5370*g + 10728 = 0.\nAnswer: -1788, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1130*i + 12*i**2 + 1130*i.\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-3))\/((-179)\/(-36) - 5). Let q be n\/330*81 + -3. Do 1 and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9*(-130)\/468)\/((-45)\/(-324))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -816, -814, -812, -810, -808?\n\"Answer: 2*p - 818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (7 - 2504\/360)\/(2\/10). Factor b*i**4 + 4\/9*i**3 - 2\/9 + 0*i**2 - 4\/9*i.\nAnswer: 2*(i - 1)*(i + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 30550505 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 47491 + -34369. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 474*a + 571. List the prime factors of s(8).\nAnswer: 4363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zjujzzzzjjuzjz. Give prob of sequence zu.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46170 (base 10) to base 8.\nAnswer: -132132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -949, -6434, -15671, -28660, -45401, -65894, -90139?\n\"Answer: -1876*i**2 + 143*i + 784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10880 + 17008. Suppose 5*k - 3*i - 11890 = 3432, -2*i = -2*k + t. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + q = -15, -5*u = 2*q + 2*q - 8. Suppose 3 - 11 = -4*l. Solve -k + l + u = -c, 4*c = -12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -12. Let h = -6.0000015 - k. Round h to 7 decimal places.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1617667.\nAnswer: 569, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -47 + -9 - (-10 - 18). Let k(o) = 5*o**2 + 140*o - 1. What is k(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/z**(-2\/5))**(14\/9))**(-24)*(z**(-9)\/(z**(-1\/6)*z))\/((z**(2\/3)*z)\/z)**(17\/2) assuming z is positive.\nAnswer: z**(-1051\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a micrometer in nanometers?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yjtt when four letters picked without replacement from {j: 5, y: 3, w: 7, t: 3}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is 10101 (base 2) in base 12?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 21*w**3 + 2*w**2 + 2*w - 1. Suppose 5*s = -6*s - 33. Let l be 1*(6 - (s + 7)). Is u(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 180 and 54?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 51*o + 2*o = 500. Solve -4*t - 2*d + 10 = 0, -2*t - 5*d = -3*d - o for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9843*r**2 - r - 5*r**4 + 100*r**3 - 4920*r**2 - 4922*r**2 in the form a + t*r + j*r**2 + c*r**3 + g*r**4 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -4*z**3 + 2*z**2 + z. Let q be m(-1). Suppose 0 = -c + q*c + 4*n - 8, 0 = -4*c + n + 3. Is c > 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 691479 and 1?\nAnswer: 691479","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 6*((4*-2*sqrt(1377)*-5)**2 - ((-4 + sqrt(1377) + -1)**2 - (1 + 1*sqrt(1377))**2)).\nAnswer: 648*sqrt(17) + 13219053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/4 + 289\/34. Solve 2 = -j, 2*r - r = -2*j - k for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) + -3*-2*sqrt(65) - 2*(-2*sqrt(65) + sqrt(65)))\/(sqrt(35)\/sqrt(63) - sqrt(25)\/(sqrt(10)\/sqrt(2)))*5.\nAnswer: -135*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 3*u - 31, -5*u = 1 - 11. Suppose -d = -5*d - 5*w - 1, c*d = 4*w + 50. Find the third derivative of -5*h**2 - h**6 - 6*h**6 + 0*h**d wrt h.\nAnswer: -840*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-5)\/(-296)*35 - 63\/168 and (-3)\/(9\/139)*(-22)\/(-44)?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of u**4\/4 - 2*u**2. Let s(m) = 6 + 2*m - 6. Calculate s(w(v)).\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 + 9*b + 22. Let z be g(11). Suppose -m - 3*x + 8 = 0, m + 5*x = 14 - z. Sort -5, -2, m, 2 in decreasing order.\nAnswer: 2, m, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3127 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.23 minus -5?\nAnswer: -22.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_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 n = 9 - 4. Which is the nearest to -2\/11? (a) 6 (b) n (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3682165 divided by -5\nAnswer: -736433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0031688 rounded to 4 dps?\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260764 is divided by 1210?\nAnswer: 614","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1010078*b**2 - b + 19897958 wrt b.\nAnswer: 2020156*b - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5349, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -77160 divided by -19290.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39 and 123370?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -311 - 11 = -31*h + 267 for h.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3135034 - -3267.209.\nAnswer: -3131766.791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v. Let c(q) = q**2 + 17*q. Let w(x) = -2*x. Let f(z) = c(z) - 4*w(z). Determine j(f(g)).\nAnswer: g**2 + 25*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5519*m = 1068*m - 19761 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.121 + 1.2.\nAnswer: 1.321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 3*o + 22 = -8*o, 0 = -4*o - 8. Is 13 a factor of 6\/x*292\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 18*i - 28. Let s be r(15). Suppose -n + 4*d = -36, -20 = -n + 5*d + s. Is n a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 22, -1232, 4, -8 in ascending order.\nAnswer: -1232, -8, 4, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 + 6. Let k = 12 + q. Suppose k = -3*p - 6 + 15. Solve 0 = -p*n - n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 117003 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -30*z - 70. Let k be i(-3). Suppose -8*d + 4*d + k = 0. Solve 8*r = d*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 628 (b) 1\/7 (c) 2\/3 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 + 7*t + 6. Let v be k(-5). Suppose f + 15 = -5*b, 0*f - 3*f - 13 = -b. What is the common denominator of -43\/7 and b\/v*-1*-53?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5760.15 + -5760. Let f be 46\/102 + 1\/(-3). Which is the third biggest value? (a) -3 (b) i (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -42\/11*i - 24\/11*i**2 - 2\/11*i**3 + 196\/11 = 0.\nAnswer: -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-17532)\/9350 - 8\/(-4). Let o = 2\/275 - v. Suppose 0*u - 4*u = -3*d + 20, 0 = -3*d - 2*u + 8. Which is the smallest value? (a) -5 (b) d (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of i**7\/105 + 701*i**5\/60 - i**4\/24 + 10*i**3 - 117*i**2 + 5. Find the second derivative of o(w) wrt w.\nAnswer: 24*w**2 + 1402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 758\/17 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)*-1*1)\/sqrt(6).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 3*y + 9 = 4*q, 13 = 4*q + y. Suppose -219 + 1174 = 2*z + b, q*z = -4*b + 1430. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 3, 4, -106?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7, 19, 63, 125, 205, 303?\n\"Answer: 9*t**2 - t - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6810 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 109.71 rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/5 + 8*d**2\/5 - d - 84\/5.\nAnswer: (d - 3)*(d + 4)*(d + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1288b (base 15) to base 6.\nAnswer: -1134322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3 - s - s**2 - 3*s**3 + 0*s**3 + 6*s**2 + 4*s**3. Suppose 10 = -5*z - 5*i, -3*i = z + 2 - 4. What is the units digit of n(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s**(-8\/7)\/s)\/s)*s**(14\/5)*s)\/(s*(s*(s*s\/(s*s\/s**(7\/5)))\/s)\/s*s*s*s)**8 assuming s is positive.\nAnswer: s**(-954\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -9247*a + 9247*a + 7*a**2. Let o(f) = -57*f**2. Determine o(g(j)).\nAnswer: -2793*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 208 divide 28838160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 449284762?\nAnswer: 2, 29, 601, 12889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15492, -8.1, -0.3.\nAnswer: -8.1, -0.3, 15492","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11325, -11291, -11207, -11049, -10793?\n\"Answer: 4*f**3 + f**2 + 3*f - 11333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aazajjzaamatbzbjamja. Give prob of picking 1 a and 1 z.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66509?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -639 + 639. Which is smaller: v or -40?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 15*u**2 - 17*u + 11. Let a(w) = 8*w**2 - 9*w + 6. Let x be ((-17)\/3 - -2)*(-18 - -15). Suppose -6 = -5*b - 36. Determine b*l(o) + x*a(o).\nAnswer: -2*o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38.48 - 0.52. Let c = 0.03 - -46.97. Let w = c + z. What is the third smallest value in -2, w, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/17979504 and -69\/2752?\nAnswer: 71918016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65882*w - 840 = -65912*w for w.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-6*-3*(sqrt(171) - sqrt(171)*2)*-4)\/(-3*2*1*sqrt(576)).\nAnswer: -3*sqrt(19)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(-4)\/(2*-2). Let v(n) be the second derivative of -7*n**5\/20 + n**3\/3 + n**2\/2 - 18*n. Let r be v(h). Let a(f) = -f**3 + 6*f**2 + 8. Calculate a(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98)\/(2*sqrt(7)) - sqrt(14))\/(sqrt(42)\/sqrt(6)*3) + -5.\nAnswer: -5 - sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(234)*1)\/sqrt(9))\/(sqrt(64)\/sqrt(2)).\nAnswer: sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - 25*o - 22. Let j be x(-24). Factor 2\/5*i**j - 2\/5 + 2\/5*i**3 - 2\/5*i.\nAnswer: 2*(i - 1)*(i + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - (-28)\/(-16) - (-104)\/(-32). Sort -4, g, -5, 4 in descending order.\nAnswer: 4, g, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.31 + 3.31. What is the closest to m in 3, -1\/4, -142, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/((-2080)\/(-871)) - -9 - (-3)\/1.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 4:54 PM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 310382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22747 and 4343.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -0.11, 4, -0.3, -1, 778?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 m when three letters picked without replacement from {b: 4, m: 7}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 9 + 13 = o, -5*u = -3*o + 12. What is the smallest common multiple of 48 and o?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5ba2 - 5ba?\nAnswer: 55b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/499 or 247?\nAnswer: 247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 32 = 0, 0 = -2*t + 10075*j - 10071*j + 24 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**4 + 62*w**3\/5 + 129*w**2\/5 - 448*w\/5 - 196\/5 = 0.\nAnswer: -7, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (4 - -3) + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*b**2*j*k - 6*b**2*k**2*l - b**2*k*l**2 + 6*b*j*k*l**2 + b*j*k*l + 7*b*l**2 + 2*k**2 wrt b?\nAnswer: 40*j*k - 12*k**2*l - 2*k*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(((-5)\/(-6))\/((-141)\/94))?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49 + -51.1. Let y = -1.7 - h. What is the second biggest value in y, -1\/10, -5?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3845.906 and -611.3.\nAnswer: -4457.206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.002 - 36.998. Let x = 161 - 198.88. Let d = x - t. Round d to 1 decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 6. Let y(o) = -6*o**2 + o**2 + q*o**2 + o**2. Let p(w) = 1. Let k(r) = -r**2 + 2. Let l(u) = -k(u) + 2*p(u). What is y(l(x))?\nAnswer: -2*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(640)\/sqrt(8) + sqrt(55)\/(sqrt(11)*-2))**2*4.\nAnswer: 84*sqrt(5) + 281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -4*z + 4 - 18, 36 = 4*x + 3*z. Let a(h) = -3*h + 2*h + 7 + 0*h. Calculate a(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*o + 12*o + 10*o.\nAnswer: -11*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2104051, -4208102, -6312153, -8416204, -10520255?\n\"Answer: -2104051*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4\/2 - 7*i**3 + 33*i**2\/2 + 2*i - 22.\nAnswer: (i - 11)*(i - 2)**2*(i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143173*c + 8771 = 142994*c for c.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 8:20 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0.079, -0.03, 6845?\nAnswer: 0.079","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -2 (c) -95 (d) 0.2 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1819 or 1804?\nAnswer: 1819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (67 + 62*g - 119 + 67)*(-3*g**4 - g**4 + 3*g**4)*(0 + 0 + 2).\nAnswer: -124*g**5 - 30*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 116213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 2 + sqrt(44)\/sqrt(100))**2.\nAnswer: 2*sqrt(11) + 636\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((6\/16)\/((-12)\/(-8)))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 79.3? (a) -1.7 (b) 8\/7 (c) 4\/7 (d) 1\/6 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 4*t = a + 11, a + 4 = t. Let p = a + 8. Solve 4*z - w = 4, 4*z - p - 11 = -2*w for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4373272052.\nAnswer: 2, 31, 41, 157, 5479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12.8 - 13. Is o smaller than 25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i + 5*i + 10, -150 = -2*g + 2*i. Let w = -13 + g. What are the prime factors of w?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3*1)\/(0 - 1). Suppose 0*z - 4*z = 2*m + 16, -3*z - 23 = -4*m. Put -14, m, n in increasing order.\nAnswer: -14, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 0*h - 4*h + 916 = 0, 3 = 3*h. Let u = l + 230. What is the least common multiple of 98 and u?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 682692841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1335\/32 + -25\/32. Which is smaller: -42 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o - 6. Suppose -4*t = 8 + 12. Let q be m(t). Let g be 4\/10 + 4\/(-10). Sort q, g, 2 in decreasing order.\nAnswer: 2, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188691940.\nAnswer: 2, 5, 9434597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3606, 7, -5, 3 in decreasing order.\nAnswer: 3606, 7, 3, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55305, 110585, 165865, 221145?\nAnswer: 276425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 850801 and 1729.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1288 and 8715.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, l: 2}. What is prob of sequence ll?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x + 12*x + 9*x.\nAnswer: 21*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -230*s + 980. List the prime factors of a(-31).\nAnswer: 2, 5, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -8, -5, -42?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*s**2 - 12*s**2 + 14*s**2)*(149*s**2 + 132*s**2 - 246*s**2)*(-s - 2*s - 4*s).\nAnswer: -2450*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sjsf when four letters picked without replacement from jmsmmsf.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 370, 368, 364, 358, 350?\n\"Answer: -k**2 + k + 370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 631 - 66?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1495815 at least -1495813?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10501 divided by 1248?\nAnswer: 10501\/1248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -1499*h**2 - 13*h + 2. Let t(a) = a**2 + 14*a. Calculate -s(q) - t(q).\nAnswer: 1498*q**2 - q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46460 = -4*k - 3*s, -46440 = -4*k + 2*s - 0*s. Suppose 0*u - g = 5*u, 0 = 4*u - 5*g. Suppose u = -4*o + 1824 + k. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35390.5 less than -0.5?\nAnswer: -35391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 2. Suppose -3*m + 260 = 5*y, -156 = -2*y - y + 3*m. Let h = -52 + y. Which is the closest to -0.2? (a) 1 (b) h (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*6*(-6*sqrt(17)*3 + -5).\nAnswer: 180 + 648*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 9*c**2 + 14*c - 7. Let s(m) = -11*m**2 - 14*m + 9. Let h(v) = -6*a(v) - 5*s(v). Suppose 0 = -36*j + 30*j + 84. Calculate h(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: Suppose -5*c = -3 - 2. Let n = 34 - 34. Let v = n - -3\/2. Which is smaller: c or v?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -171*m**3*r**4 - 2*m**3*r**2 + 3*m**2*r**2 + 3*m*r**4 + 27*r wrt r?\nAnswer: -4104*m**3*r + 72*m*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -4 + (12 - (-7 - (-17 + 15)) - 11).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 942, 1882, 2822?\n\"Answer: 940*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 470 + -233. Suppose 0*z + 4*z = -3*q - 609, 3*z + 2*q = -458. Let b = z + n. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of 3*j**2 + 23*j + 7. Let s be r(8). Suppose s + 379 = 6*l. What is the highest common factor of l and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.1915 to 2 decimal places.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 1\/24 (b) -5\/2 (c) -1\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-1*sqrt(539) - sqrt(539)) + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10105602?\nAnswer: 2, 3, 13, 23, 43, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -630845 (base 12) to base 13\nAnswer: -426566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(280) - 2*sqrt(280))\/sqrt(8))\/sqrt(7).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of (4404\/(-60) - 1)\/((-2)\/25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/7 - 263264*f**2\/7 + 8645826090*f\/7 + 1163272676652\/7.\nAnswer: 2*(f - 65883)**2*(f + 134)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3 - 16467*s**2 - 65832*s - 65820.\nAnswer: -3*(s + 2)**2*(s + 5485)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -19, -13, 17, 71, 149, 251?\n\"Answer: 12*s**2 - 30*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60069?\nAnswer: 3, 20023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: How many minutes are there between 2:45 PM and 10:38 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/843576 and 73\/417?\nAnswer: 117257064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**2 + 4*n - 2*n**4 + 1786 - 1788 + 2*n**3 - 3*n**3 in the form c*n**2 + q*n + z + y*n**4 + t*n**3 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 3:03 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 528051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/5 or 37701365\/4?\nAnswer: 37701365\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 12. Let k = -8 + y. Let d be 2\/(-182) + (-480)\/(-70) + -7. What is the second biggest value in k, 2, d, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a microgram in nanograms?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 301?\nAnswer: -305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + 0 + 0)*(3 + 3 - 4) - 2 + 1 + 3)*((-9 - 15 + 12)*(5*n - n - n) + (0 + 0 + n)*(4 + 1 - 4) + n + 2*n - n) as i*n + z and give i.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + u**2 - 1)*(2 + 2 - 2) - 3*u**2 + 2*u**2 + 0*u**2 + u**2 - 81*u + 81*u.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 288 and 252399312?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-192))\/((-15)\/(-150)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137904 = 2*y - 4*f, 203435 = 3*y - 5*f - 3420. Is 23 a factor of y\/150 + (-8)\/(-6) + -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 11*u**2 + 17*u + 9. Let m be q(9). Which is the third smallest value? (a) 3 (b) -2\/17 (c) 4\/3 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r. Let o(u) = -264*u + 3 - 3 - 260*u + 530*u. Let f(w) = 4*w - 6. Let i be f(4). Give i*b(x) - 2*o(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 763*n**2 + 3*n + 6736?\nAnswer: 1526*n + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 0) + (-21 - -20) + 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 7 + 13 = 0. Let l be (-36*t\/(-63))\/((-3)\/(-21)). Calculate the greatest common factor of l and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -99.2 and -9.0021.\nAnswer: 893.00832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10398 divided by 2\nAnswer: -5199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -1\/4 (c) -1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -197070 to the nearest one thousand.\nAnswer: -197000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-89)\/(-28) - 41\/(-164)) + -2?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*v**2 + 7 - 7)*(67*v + 2*v + 66*v + (0 + 1 - 3)*(-2 - 8*v + 9*v - 1)) to n*v**3 + y*v + o*v**2 + l and give o.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 83535620 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -190.2 + 191.2. Let k = 0.36 + -0.36. Let t = 32\/63 + -2\/9. Sort k, t, 2, n.\nAnswer: k, t, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2101 - -1211?\nAnswer: 11012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20405, 40773, 61141, 81509, 101877?\nAnswer: 122245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21339 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 0 + 2 = -3*i, -2*i - 13 = -j. Suppose -h + 1 = -0*h. Which is the nearest to h? (a) i (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11138061?\nAnswer: 3, 11, 337517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xdjd when four letters picked without replacement from {x: 3, d: 3, o: 4, f: 2, j: 4}.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4725 and 15.\nAnswer: 4725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v + 10. Let x be u(-8). Suppose 0 = 3*j + x*j. What is the third derivative of 2*b**2 + j*b**4 - b**4 - b**2 wrt b?\nAnswer: -24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -15.93. Let t = 17061 - 17059. Put 3, m, t, 0.2 in ascending order.\nAnswer: m, 0.2, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 130.82 and 0.083.\nAnswer: 130.903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -10263.87 to the nearest one hundred.\nAnswer: -10300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 10, a: 4, y: 2}. What is prob of picking 2 a and 1 p?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 334, 458, 588, 718, 842?\n\"Answer: -f**3 + 9*f**2 + 104*f + 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of -f**4\/12 - 7*f**3\/2 + 45*f**2\/2 - 43*f. Calculate c(-23).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 13) to base 9\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {t: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 9:01 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-32*g**2 - 52 + 54 - 2*g + 8*g**3 - 5*g**3)*(-4 - 2 + 4) in the form l*g**2 + p*g + d + s*g**3 and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + 7*a + 6. Let w be y(8). Let g(n) = 11*n**2 + 3*n + 4. Let d be g(w). Let l be -36*(-7)\/(d\/4). Solve 5*m + 5 = -5*k, 4*m + 16 + l = 5*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, -17, -4, -1782?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 545723 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jiigjigiiiij. What is prob of sequence jiji?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0790125 litres to millilitres.\nAnswer: 79.0125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 217 <= 218?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -269 (b) 2\/5 (c) 2\/3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*o - 38 - 48 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 7*p = -4. Let m be (-7 + 12)*p\/2. Which is the biggest value? (a) -0.2 (b) 0 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 2\/11, -3\/10, 2?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 518*d - 3629. Determine j(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 0.038, -1, -2, -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2\/5 (b) 4 (c) -1\/71 (d) 0.33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 46*n**3 + 5*n - 5. Suppose -111*u + 144 = -183*u. Let j(i) = 9*i**3 + i - 1. Determine u*f(z) + 11*j(z).\nAnswer: 7*z**3 + z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - 0 - (21 - 5). Let u be (6\/(-10))\/(3\/v). Is 3\/(u\/29) + 2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23\/(-92))\/(2\/8*-3)*12.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 2159*s + 1 + 2212*s - 4411*s.\nAnswer: -40*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 278711 = 5*f, 4*a + 6*f = 5*f + 159256. What are the prime factors of a?\nAnswer: 3, 23, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 + -19. What is the greatest common divisor of 10 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2. Let p be c(-2). Suppose p*m - 5*h + 11 = m, 0 = 4*m - 3*h. Suppose -94 = 2*o - 7*o + 2*j, -2*o = -m*j - 42. Does 4 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*y - 4824 = -420*y for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - r + 11 = 0, 3*r - 9 = -0*r. Suppose -2*y + 870 = a*y. Is 29 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24073547?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, w: 3}. Give prob of sequence mm.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 3*l = -550, 2*l = 5*h - 658 - 18. Is h a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 86 divided by -9413\nAnswer: -86\/9413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -47*d**2 - 408*d + 29848 wrt d?\nAnswer: -94*d - 408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5}. What is prob of sequence ppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 845 and 29744?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 20502, 81980, 184452, 327924, 512402, 737892, 1004400, 1311932?\n\"Answer: x**3 + 20491*x**2 - 2*x + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 210.504 from -0.1.\nAnswer: -210.604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 12\/103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (14\/(-5))\/((-20)\/(-50)). Let h(s) = -3*s - 7. Let y(b) be the third derivative of -5*b**4\/24 - 13*b**3\/6 - 7*b**2. Give r*h(a) + 4*y(a).\nAnswer: a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 46 - 41 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0339212 - 1?\nAnswer: -0.9660788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42319 and 303.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 169*j**2\/4 - 6492018*j + 249386376996.\nAnswer: (13*j - 998772)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - p = -36. Let s be (-1 - 12\/p)\/1. Let d(t) = t**3 - 5*t**2 + 3*t. Let j be d(4). Sort j, 0, s in decreasing order.\nAnswer: s, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -50, -3, -2\/9 in increasing order.\nAnswer: -50, -5, -3, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 5:41 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 37580861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7 (b) -2 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 108\/30 - 6\/10. Suppose 5*m = -3*f + 3 + 1, -s*m = f. Solve -2*x + 3 = -f*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*i**2*q**2 - 838*i**2 - i*q**2 + 5*q**3 wrt q.\nAnswer: 8*i**2*q - 2*i*q + 15*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of 13*l - 1\/2*l**2 + 0 + 11\/6*l**3. What is the derivative of f(b) wrt b?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hzzn when four letters picked without replacement from {z: 2, h: 4, n: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -78140, -2, -14 in descending order.\nAnswer: -2, -14, -78140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.857 to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 + 10 = -4*m for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227892?\nAnswer: 2, 3, 7, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 1820 - 20. What is the greatest common factor of 23 and n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39445 + 39445 - 4*p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + 4*i + 5. Let w be u(-4). Let y(l) = -2*l. Let r(v) = v. Let p(j) = -r(j) - y(j). What is the units digit of p(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(27) + 0 + (sqrt(108))**2.\nAnswer: 3*sqrt(3) + 109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1113102.4 to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*l + 37*l + 2*s - 76, l - 4*s - 1 = 0. Solve 3*g - l = -5 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -40*m**3 - 5*m**2 + 7*m - 5. Let v be d(-5). Suppose 0*c = -5*c + v. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*-2 + 21\/3. Let i(p) = 4*p**3 - 8*p**2 + 6*p - 8. Let g(n) = -3*n**3 + 7*n**2 - 5*n + 7. Let c be (-18)\/(1 - 0)*11\/(-33). What is c*g(l) + r*i(l)?\nAnswer: 2*l**3 + 2*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 720, 728, 738, 744, 740, 720, 678, 608?\n\"Answer: -v**3 + 7*v**2 - 6*v + 720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of 0 + 0*f - 29\/6*f**3 - 35\/24*f**4 - 1\/60*f**5 + 6*f**2. Is p(-22) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = 2*x - 8. Let k be (4\/(-8))\/(x\/8). Suppose 2*l = 3*a - 5 + 21, k*a + 40 = 5*l. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -6*w - 1. Let g be y(-1). Suppose 5*i - g*m - 1087 = 508, -5*m = 10. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(-2*sqrt(2)) + -1 + (sqrt(110) - 5*3*sqrt(110))\/sqrt(10).\nAnswer: -29*sqrt(11)\/2 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1526\/(-1090))\/((-7)\/2). What is the closest to w in -54, 0.3, 0, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a - 2370. Let h(s) = 10*s - 7077. Give 4*h(v) - 13*i(v).\nAnswer: v + 2502","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22763?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 18085 - 498?\nAnswer: 177a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9162421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 364 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 351.764 nanograms to milligrams.\nAnswer: 0.000351764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + 835\/483 + 1. Let z = f + -1\/69. Is z < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (-3 + 3)) + -8 + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -6 - 7) + -1 + 7\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c**2. Let m be z(-1). Suppose -5*a + 3*d + 385 = 0, -m*d = 3*a - d - 212. Let f = a + -71. Solve 3*q = -l + 17, q - l = f*q - 12 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -291532, -291539, -291558, -291595, -291656, -291747?\nAnswer: -291874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**2 - 3. What is u(5)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000407 rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 8*d + 4 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r + 5*r + 0*r to the form d*r + j and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r - 2*r + 2*r - 7*r as g*r + s and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -12. Let x be 3\/12 + (-14)\/r. Suppose -x*h - 24 = -5*j, -2*j = -3*j - 4*h + 18. Let g(s) = s + 2. Give g(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209754.\nAnswer: 2, 3, 43, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 19*u + 4. Give d(4).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5253010 and 5858.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 9:58 AM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cppudcqqpwpdcu. What is prob of sequence dcwu?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2. Let x be -66*3\/(-6) - -3. Let z = -17 + x. Let a(p) = 0*p + 3*p + 19 - z. What is j(a(n))?\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11287 and 0.167.\nAnswer: 1884.929","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 + 56*l**2 - 696*l - 396. Give v(28).\nAnswer: 2068","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -224 + 70. Suppose 1252 = -3*h + 364. Let f = i - h. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4345221?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - (1 - 6\/3). Suppose s - 6 = -n*s. Let a(k) = 3 - s*k - 3. Let b(d) = 3*d**2. Give b(a(m)).\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 20*z**3 + 15*z**2 + 4*z + 1. Let i(j) = 61*j**3 + 44*j**2 + 11*j + 3. Let h(m) = -4*i(m) + 11*t(m). What is the third derivative of h(p) wrt p?\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 7*s - 64. Let v(u) = u - 8. Let h(b) = g(b) - 8*v(b). Let l(m) = 20*m**2 + 15*m + 1. Calculate h(l(d)).\nAnswer: -20*d**2 - 15*d - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2514 and 2.\nAnswer: 2514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -2*o + w + 23, 0 = 5*o + w - 27. Calculate the remainder when o is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((3 - 60\/24)*-64)\/(-2)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1934929 to the power of 1\/3, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -43468011, -86936017, -130404023?\n\"Answer: -43468006*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (18\/6 + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 5:22 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157179213.\nAnswer: 3, 17464357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 14*h**2 + 236*h - 29. Let w be i(-17). Sort w, -4, -208.\nAnswer: -208, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 480489 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 4:38 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3600)*2)\/sqrt(5).\nAnswer: 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 - -15. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.087677591 to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 2*a - 111 = 24*r, -668*r = -667*r + 4*a + 64 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 98 + -96. Let h(g) = 5*g**3 - 2*g + 1. Let i be h(1). Suppose v*w + 0*w + 4 = 2*u, i*u = 2*w + 10. Are w and -1\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -w**4\/18 - 112*w**3\/9 - 3136*w**2\/3 - 192*w. Solve y(b) = 0 for b.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 209 - 211. Let z(x) = 15*x**2 + 9*x + 14. Let l be z(p). Let s = 47 - 33. What is the highest common factor of l and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7830 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/21, 5\/8, -2\/352381?\nAnswer: -2\/352381","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j - 27. Let d be v(15). Suppose 2*g = -d*x + 25158, 3*x - 5*g + 1303 - 26440 = 0. Let k = x - 5266. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1806819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -m**4\/24 - m**3\/6 - 24*m**2. Let t(n) = -4*n - 1. What is 5*s(j) - t(j)?\nAnswer: -j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -107 + -159. Let o = x + 287.9. Let y = o - 22. Which is smaller: y or 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4809 (base 10) to base 15\nAnswer: 1659","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 494 * -137349.\nAnswer: -67850406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -291 - -295. Let u = 1.9 + 0.1. Sort o, 0.4, u in increasing order.\nAnswer: 0.4, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.07 - -0.83. Let z = y - 0.5. Let i = 25551 - 25554. What is the third biggest value in -3\/7, z, i, 1\/3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 320 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1111.1, -2.261, -1?\nAnswer: -1111.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + r**2 - 5*r + 4. Let q be f(-3). Let z(u) = -8*u**2 + 2*u - 38. Let m(d) = 2*d**2 + d. Let a(w) = q*z(w) - 2*m(w). Differentiate a(v) wrt v.\nAnswer: -24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 113\/1 + (-6 - (-6)\/2). Let l = -105 + t. Solve -4*q - 5*b + 30 = q, -2*q = l*b - 24 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - 23*n - 59. Let m(x) = -2*x - 9. Let u(f) = i(f) - 6*m(f). Give u(-8).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(-1\/16)*y)*y)\/(y\/(y*y*y**(-5\/4)*y)*y)*(y\/y**(-6))\/((y**9\/y)\/y) assuming y is positive.\nAnswer: y**(13\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 125, 195, 247, 287, 321, 355, 395?\nAnswer: 447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35 - 185*h**3 + 4*h - 95*h**2 + 185*h**2 - 89*h**2 wrt h?\nAnswer: -1110*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -42, -118, -230, -378?\nAnswer: -562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 8*f**2 + 10*f - 12. Suppose -24 = -4*x + x. Let a be z(x). Let v = 98 - a. Calculate the remainder when v is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 4*t - 3*z - 45, -40*z - 415 = -12*t + 7*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -10143.68 from 12462.476.\nAnswer: 22606.156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -447, -1414, -2851, -4764, -7159, -10042?\n\"Answer: -f**3 - 229*f**2 - 273*f + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 35*n + 9*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(168)*2*6 + sqrt(168) - sqrt(168))\/(sqrt(6) + sqrt(6) + -5*1*sqrt(6)))**2*1.\nAnswer: 7168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b - 8 = 20 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-14) + (-38)\/(-14). Suppose i = -j + 5. Factor 4*n + 0 + 9*n**2 - 11*n**i - 2.\nAnswer: -2*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -7*k + 6*k + 17*k - 1. Suppose -4*y = -u - 73, 2*u = -3*y + 26 + 15. What is the remainder when r(2) is divided by y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {t: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + 9*y - 6. Let m be p(7). Let t(b) = -b**2 + 9*b + 4. What is the lowest common multiple of 10 and t(m)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9850, 19543, 29236, 38929, 48622?\nAnswer: 58315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -26, -5, 7.\nAnswer: -26, -5, -4, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*v - 82*v = -199*v + 348 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - 5 - (12 + -20) - (2 - -1). Let -14\/9*x**2 + 4\/9*x + 0 + 2*x**q + 2\/9*x**5 - 10\/9*x**4 = 0. What is x?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3815, -5, 1\/6, -282 in increasing order.\nAnswer: -282, -5, 1\/6, 3815","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23079)\/26847*4\/6*(-54)\/42?\nAnswer: 14\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-6)*((-44)\/(-8))\/11.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-70)\/(-56))\/(384\/(-256)*10\/72)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 2*j**2 + 2*j + 90. Suppose 0*t = -12*t. Calculate the remainder when l(t) is divided by 49.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + 1 - 30\/(-5). Let i be ((-4)\/28)\/(4\/14). What is the nearest to -2\/5 in i, -0.03, u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1587, -1559, -1489, -1359, -1151, -847, -429, 121?\nAnswer: 821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2*f**4\/9 + 3104*f**3\/9 + 27646*f**2\/9 - 197336*f\/9 + 86408\/3 = 0?\nAnswer: -1543, -14, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -52 + 52. Suppose 2*z + 12 = -v - 48, -4*z - 8 = n. What is v rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -142 not equal to -19730\/139?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - 11*p + 4. Let k be u(-11). Suppose k*z = 526 + 334. Is 43 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m**3 - 6*m**3 + 4*m**3 - 4 + 2*m**3 + 4 + (0*m**3 - m**3 + 2*m**3)*(-2 + 2 - 1) + 0*m**3 + 2*m**3 - 4*m**3)*(0*m - 3*m + 0*m).\nAnswer: -6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 10*p**2 - p - 1. Let f(c) = -13*c**2 + c + 1. Let h(u) = 3*f(u) + 4*n(u). Let z(w) = -7*w**2 + 3*w + 6. Calculate -6*h(x) - z(x).\nAnswer: x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.8 - -0.7. Which is the second biggest value? (a) 2\/5 (b) -3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 + 6*r**2 + 3*r**2 - 16*r**2 + 9*r**2 to v*r + x*r**2 + d and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -3\/5 (b) -3 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*i - 20 = -3*d, 3*i - 15 = -5*d. Which is the closest to 0.1? (a) 1\/71 (b) d (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 313020185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3115 is divided by 194?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3675726.99795 - 3675807. Let k = -80 - n. What is k rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -72\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-6))\/((9\/3)\/(-9)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 141002353 to the nearest integer?\nAnswer: 11874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 392 divide 645917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 4*o**2 + 4*o + 2. Let l be t(6). Calculate the highest common factor of l and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 248835157039 - -0.219.\nAnswer: 248835157039.219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2)*(m\/(m*m**5))\/m assuming m is positive.\nAnswer: m**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y = 7*y + 3. Let g be (-4)\/(-6) + 5\/(-3). Put 1, g, y in ascending order.\nAnswer: g, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7495 - 4315. Is y a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 3 = -3*n. Let u be 162\/(-4)*10\/n. Calculate the highest common divisor of 15 and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -351060454 by 803342.\nAnswer: -437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 1284737.20476?\nAnswer: -1284732.20476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 50\/(-15)*24\/(-10). Suppose 0 = r - 3*r + 2*i, -2*r - z = -4*i. Let h(s) = -s**3 + 5*s**2 - 4*s + 5. What are the prime factors of h(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -19798*u**2 - u + 80. Let v be x(8). What is v rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04+203.8837\nAnswer: 203.9237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -25 + 4*z + z + 9 + 15. Let c(o) = -3*o + 1. What is 7*c(y) + 4*r(y)?\nAnswer: -y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 10:56 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - v + 4*v)*(0 - 1 - 2) + (-24 - 15 + 13)*(9*v - 2*v - 2*v).\nAnswer: -136*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1814*u - 335100 = 7399*u for u.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 22\/4 + (-81)\/(-54). Suppose 0 = 2*o - 181 + k. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 164\/44711 or 1?\nAnswer: 164\/44711","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 = z + 52 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 180.1445nm to millimeters.\nAnswer: 0.0001801445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 139673981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3.10068984 from -0.1750823.\nAnswer: 2.92560754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8734 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40 - -135) + 23 + -21 + -16.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 55*x - 100*x - 27*x as t*x + f and give t.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 16 = -2*z - 4*a, -8 = -5*z + a. Solve z*h + h + 12 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 10*k - 3000. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(208\/(-73)) - (-30)\/(-24).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -181, -3213, 4\/15, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.0724 - 0.0524. Let g = 2.78 - 3. Let l = g + w. Round l to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.14 + 0.34. Let d = 10.8 + f. What is the nearest to d in 0.1, 4, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 + 7)*(2 + 16\/(-12)). Suppose -2*s + 810 = 3*i, 2*i - 559 = 7*s - z*s. Is 16 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m**2 + 94*m**3 + 3*m**2 + 6*m**2 - 87*m**3.\nAnswer: 7*m**3 + 9*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 19483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 120987803?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1446 = -197*t - 54*t - 9478 for t.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a80 + 291a9?\nAnswer: 29c29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 422850412?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 94299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 344928 is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 4*t + 4. Let r(d) = -3*d - 4. Let i(c) = -2*m(c) - 3*r(c). Let y(j) = 2*j + 7. Let f(w) = -5*i(w) + 2*y(w). Let v = -14886 + 14880. What is f(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (158 - 315 + 175 - 41*d)*(3*d - 3*d + d**2).\nAnswer: -41*d**3 + 18*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m + 2*m - 5*m + (2*m - 3*m + 2*m)*(-9 + 13 + 11))*((2 - 6 - 3)*(-4*m**2 + m**2 + m**2) - 1 + 1 - 5*m**2).\nAnswer: 144*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of p**4\/4 + 16*p**3\/3 + 10*p + 12. Let m be t(-16). Suppose 0*g = 5*x + 2*g - 5, -4 = -3*x - g. Sort m, 2, x, -1.\nAnswer: -1, 2, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 210348111 divided by -1\nAnswer: -210348111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (-3 - (3 - -1)) + -39 + 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6227672 and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of -4 - (-5 - -5) - -14 and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nzzqnszssse. What is prob of sequence eq?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-nine fifths of a centimeter?\nAnswer: 98000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, -0.019, -2, -1.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-10))\/((-30)\/75).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 5*p**2 - 4*p - 4. Let g be a(6). Suppose r - g = 2*r. Let j(s) = s**3 + 9*s**2 + 3*s + 7. Does 7 divide j(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/9 - 115\/72. Let v = -5\/8 - a. Let f = 1.2 - 0.2. Put 0, v, f in ascending order.\nAnswer: 0, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/4)\/(1\/12). Let z = -527 - -815. Suppose -2*u + j*u = -z. What is u rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -336846058 divided by -1747.\nAnswer: 192814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3*(3 + -6)\/3 - 2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15*(-5)\/90)\/(30\/27).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 898*c**2 + 6*c - 9. Let w be t(2). Let k = w + -2402. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2878 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1187023 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - 28 - -15) + (61 - 2)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 639114 is divided by 581.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y**2 + 39*y + 4. Let z be g(-13). Solve z*w = -3*w + 14 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence isis when four letters picked without replacement from gsyyiyiigyygggyss?\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 15. Let m be t\/(-20) + 0\/2. Let x = 4.53 - -0.47. Which is the nearest to 3? (a) 0 (b) x (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 5*d**2. Let v(j) = -3*j. Let h(i) = 2*i. Let c(t) = -t. Let l be c(4). Let b(g) = l*v(g) - 5*h(g). Give w(b(n)).\nAnswer: 20*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2083*g**3 + 3*g**2 - 146*g + 64 wrt g.\nAnswer: 12498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/10 and -133\/18714?\nAnswer: 93570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 639*v + 66 = 636*v + 3*c, 2 = -2*c for v.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -44 - -25. Let m = h - -20. What is the nearest to 4 in -0.2, 1\/3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(3\/4)*a**(-8)*a*(a\/(a\/(a*a\/(a*a*a**1\/a*a*a*a*a*a)*a)))**(-38)*(a\/(a*a**3)*a*a**(6\/7)*a*a*a)\/((a**(-1)*a)\/a**(-2\/13)) assuming a is positive.\nAnswer: a**(53673\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-2) - (2 + 2). Let u be ((-4)\/j)\/(10\/(-25)). List the prime factors of ((-3)\/5)\/(u\/20).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3*(-8)\/(-3))\/(2\/(-106)). Suppose 34*t - m = 30*t. What are the prime factors of t?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294*g - 291*g = -2*d - 21, 3*d - 2*g = 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/2))**(2\/23)*((w\/(w\/(w\/w**1)))\/w)\/w**(-1))**(1\/15) assuming w is positive.\nAnswer: w**(1\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = p + 3*v - 0, 2*p - 3*v = 63. Let y = 197 - 195. Suppose -j = y*j - p. Calculate the remainder when 35 is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 623, 622, 621, 620, 619?\n\"Answer: -u + 624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*a**3 + 53*a**3 - 42*a**3 - 61*a**3.\nAnswer: -85*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 393\/(-9) - 2\/6. What is t rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, 2\/7, 2\/5, 0.3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lwwwblldldwlddw. What is prob of picking 2 l, 1 d, and 1 w?\nAnswer: 40\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 2, 13, -2856 in descending order.\nAnswer: 13, 9, 2, -2856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1547 to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/4 - 15\/(-12). What is the closest to 0 in i, 4, -9?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 769 - 10771\/14. Find the common denominator of 149\/6 and x.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of 0*a - a**2 + 0 - 2*a**3 + 1\/24*a**4. What is c(7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 9:21 PM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4, -4, -14, -26?\n\"Answer: -h**2 - 5*h + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -54496, -55306, -56116?\n\"Answer: -810*r - 53686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k, 1 b, and 1 p when four letters picked without replacement from kkmppkklkbp?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15934 is divided by 128.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 388 = 2*h + 398, 2*a + 20 = -4*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = 14*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 13 - 22. Solve 4*c + 4*r + 36 = 0, -5*c + 2*r - 8 = w for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -318*t**3 - 12720*t**2 + 2*t + 91. Determine v(-40).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oozd when four letters picked without replacement from ozzzoooozoood?\nAnswer: 28\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, -1.7, 6, 3\/5, 0.042?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26656, -51756, -76856?\nAnswer: -101956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1146 divided by -1146?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n. Let p = 1\/41 + 39\/82. Let s(g) be the first derivative of 1 - p*g**2 + 0*g. What is u(s(q))?\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 2*m**2 + 3*m - 1. Let s(g) = -g**2 - g + 1. Let i be (-15 + (-1 - -3))\/(-1). Let d = i - 30. Let n = -16 - d. Give n*b(k) + 3*s(k).\nAnswer: -k**3 - k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1217*x - 5768*x - 201981 = -1806*x for x.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -9*c**4 + 5*c**2 - 3. Let f(z) = z**4 - z**2 + 1. Let a be (-2 + -1)*1 + -7. Let y(v) = a*f(v) - 2*o(v). What is the derivative of y(m) wrt m?\nAnswer: 32*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 9*d - 5*d = 138, 4*u + 4*d + 312 = 0. Let y = u + 80. Suppose -3*c - y = -8. Sort c, 4, 3 in decreasing order.\nAnswer: 4, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3698 is divided by 489?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -716*-0.2\nAnswer: 143.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 2*n + 4*n)*(-17 + 7*n + 17)*(3*n + n - 2*n).\nAnswer: 14*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -15*q**3 + 15*q**2 + 85*q - 7. Let c(i) = 8*i**3 - 9*i**2 - 43*i + 4. Determine 5*c(y) + 3*z(y).\nAnswer: -5*y**3 + 40*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 1, -72, 3 in ascending order.\nAnswer: -72, -8, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(336))\/(sqrt(108)*3)*-6.\nAnswer: -4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of 3\/4*i**4 + 7\/3*i**3 + 0*i - 4 + 0*i**2. What is the third derivative of w(q) wrt q?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -678*(-14)\/(-56)*-24?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/25*(-2013)\/16104*5*6.\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m - 17. Let k(x) = 2*x - 35. Let g(i) = 3*k(i) - 7*l(i). List the prime factors of g(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 - 103.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11197 divided by 2646.\nAnswer: -11197\/2646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -394118, -789600, -1185082, -1580564, -1976046, -2371528?\nAnswer: -2767010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 7*m - 9*m + 17, -5*q + 19 = 4*m. Solve 2 = 2*p - q*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, -57, -2, -7 in increasing order.\nAnswer: -57, -7, -3, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 9*f**3 + 2*f**2 - 2*f + 1. Let x(u) = 3*u + 2*u - 13 + u - 5*u. Let z be x(12). Let g be -2*(z - 4\/(-8)). Determine y(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1520 and 1546 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(1*sqrt(1296) - sqrt(1296)))\/((-2*sqrt(48))\/sqrt(6) + -3*sqrt(8)*-2)*1)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 3*l - 4*v, -5*l - 2*v = -0*v - 14 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -77*h**2 + 71*h + 3. Determine o(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from hlhlhllhhh?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -5*p + 12. Let i(h) = 156*h - 364. Let m(k) = -3*i(k) - 91*r(k). Let o(v) = 19*v**2. Give m(o(w)).\nAnswer: -247*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-77)\/22)\/((-2)\/4) + -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -1956*f + 301235. What is s(154)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5.911507 hours?\nAnswer: 21281.4252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 40034871 to the power of 1\/2, to the nearest integer?\nAnswer: 6327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 3088\nAnswer: 926.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*g - 35 = 4*z, -z = 2*g - 25. Suppose -1 = -4*b + g, -3*b - 3753 = -3*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -74 (base 10) to base 6.\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/6)\/(1\/(-3)). Let k be ((-2)\/20)\/(2\/((-8)\/2)). Is i less than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15112*k**3 + 1590*k**2 + k - 1 wrt k.\nAnswer: -90672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*m = 32*m + 27*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -28*m**2. Let l(j) = 2*j**2 + 4862. What is l(n(a))?\nAnswer: 1568*a**4 + 4862","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, d: 6, f: 7}. Give prob of picking 1 d and 2 f.\nAnswer: 18\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -12*k**5 - 15*k**4 + 342*k**3 + 429*k**2 - 1464*k + 720 = 0?\nAnswer: -4, 3\/4, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*c + 267 - 487. Calculate the smallest common multiple of 40 and c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-567)\/(-1458)*(-40)\/35. What is the closest to -2\/5 in 1.1, -6, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - 15*k - 16. Let p be c(-12). Suppose 4 - 2 = t. Suppose 0 = -t*a + 6*a - p. Sort 1, -2, a.\nAnswer: -2, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2102833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4*p - 5492 = 0, -12*j - 5500 = -15*j - 4*p. List the prime factors of j.\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15317*w**2 - 119*w + 28 wrt w.\nAnswer: -30634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - t = 25, 100 = -4*a - 9*t + 10*t. Which is smaller: -30 or a?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + 37*y - 188. Let v be f(6). Let u = 0.9 + -0.5. What is the third biggest value in v, u, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-1\/4)*y*y)\/y**(-2\/39) assuming y is positive.\nAnswer: y**(437\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 4920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111201 (base 3) to base 4.\nAnswer: -11302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 8:15 AM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.046 - -3.046. What is the nearest to 1 in 1\/2, o, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 40 = -81*v, 860*v - 859*v - 7*o - 262 = -10*o for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 11*w + 7. Let z(b) = 10*b + 7. Give -6*g(m) + 5*z(m).\nAnswer: -16*m - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*n = -4907, -3*k + 14717 = -403*n + 398*n. Does 71 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3113825 is divided by 439?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 161*v + 5160. Let z be l(-30). Solve -291 = 13*c - z for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429.211ng in kilograms?\nAnswer: 0.000000000429211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mnjmdn. What is prob of sequence mmjn?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6837422 to the power of 1\/2, to the nearest integer?\nAnswer: 2615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.24 + -0.15. Let z be (-16 + 13)*(-2 + 1). Let d = 0.204 + -4.204. Sort z, b, d in descending order.\nAnswer: z, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 3*r**4 + 7*r + 4. Let s(k) = k**4 + 2*k + 1. Let v(q) = -2*l(q) + 7*s(q). Differentiate v(y) with respect to y.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8398512 is divided by 8398507.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 + -9.5. Let i = n + -15. Which is the biggest value? (a) 4\/3 (b) i (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2723*u + 2794*u - 2130 = 0 for u.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3371373?\nAnswer: 3, 67, 5591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4704, 9354, 13998, 18636, 23268, 27894, 32514?\n\"Answer: -3*t**2 + 4659*t + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-2)\/2*2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -1388*l + 7. Let r(n) = 926*n - 5. What is -7*r(y) - 5*s(y)?\nAnswer: 458*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**2\/15 + 25292*c\/15 - 16255534\/15 = 0.\nAnswer: -13259, 613","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a = -11*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a**4 + 266965*a**3 - 16833525*a**2 + 273422635*a - 256856080 = 0. What is a?\nAnswer: -53456, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1)*l*l)**(-22))**12 assuming l is positive.\nAnswer: l**(-264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.271832 months in centuries?\nAnswer: 0.00355986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c + 22. What is the lowest common multiple of q(20) and 261?\nAnswer: 3654","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000524253073 to 7 decimal places.\nAnswer: -0.0005243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 109\/726 + 2\/121. Let v be ((-8)\/12)\/((-2)\/3). Let k = -622 + 623. Which is the closest to v? (a) k (b) 0 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*v - 17*v + 780. List the prime factors of v.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - v - 5 - 862*v**2 + v**3 - 3*v**3 + 857*v**2 to m*v**2 + l*v**3 + d + r*v and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 326382 divided by 108794\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30068.\nAnswer: 2, 7517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/36)\/((-32)\/(-216))*(-3)\/(-36).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + q**2 - q - 2. Let b be a(-1). Let y(m) = 16*m - 2. Let i be y(3). Let z = i + -33. Solve -3*u + z = b for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -258.68 to the nearest 10.\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -30\/11, 3, 1\/3 in descending order.\nAnswer: 3, 1\/3, -30\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 - 2)*(0 - q**2 + 0) + (-3*q - 4*q + 4*q)*(-2 + 3*q + 2) + (-2 - 2 + 6)*(1 - 1 + 2*q**2).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2046*m**3 - 1173160*m - 7920*m**3 + 1173159*m to the form i*m + q*m**2 + y*m**3 + l and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 60799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1095 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 344 = 73. Suppose -3*i - y + m = 2*i, -2*i + 177 = -3*y. Suppose -5*u + i = -91. What are the prime factors of u?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 45 - 1\/5*k**5 + 63*k + 74\/5*k**2 - 11\/5*k**4 - 26\/5*k**3 = 0?\nAnswer: -5, -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7158.486 decades in months?\nAnswer: 859018.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/2*864\/216\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 456 and 513?\nAnswer: 4104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/12*4*18\/(-252)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6 + (-2 - (-2445)\/5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1142364 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: How many minutes are there between 4:57 PM and 3:07 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/216 and 67\/26100.\nAnswer: 156600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u**3 - 3*u**3 + 0*u**3 + 4)*(-3*u + u + 4*u - u + 0*u + 0*u + (-5*u + 3*u + 0*u)*(-1 - 1 + 1) - 2*u + 0*u + 4*u).\nAnswer: 10*u**4 + 20*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 1044091*o - 8352707. What is q(8)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -2 + -6 + 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g*i**4 - 2*g*i**2 + 2*g - 6615*i**6 + 234*i wrt i?\nAnswer: -48*g*i - 793800*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*z - 22*z = -12*z - 225792. What are the prime factors of z?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1100*n + 249*n**2 + 27*n - 1127*n.\nAnswer: 249*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1560, -1969, -2378, -2787, -3196, -3605?\n\"Answer: -409*c - 1151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 5*v**2 - v - 6. Let h = 1821 - 1839. Suppose 2*f + 3 = 5*f. Let p be (6\/h)\/(f\/15). Calculate u(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1437?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 15*p. Let b(s) = 10*s**2 - s + 2472. What is u(b(k))?\nAnswer: 150*k**2 - 15*k + 37080","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - 10*p + 7. Suppose 5*z - 32 + 1 = -4*o, -z + 26 = 3*o. Give i(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of -h**7\/1960 - h**6\/420 - h**5\/280 + 3*h**3\/2 + 2*h**2. Let p(a) be the first derivative of i(a). Suppose p(d) = 0. What is d?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 306 + 19*u - 581 - 8*u + 287.\nAnswer: 11*u + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1120 to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z + 13 + 36 - 11109*z**3 - 50 + 4*z in the form d*z + v*z**2 + h + o*z**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-720)*-10)\/((-1)\/(-1))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 4*d**2 + 0*d**2 + d**2 + 0*d**2. Let i(o) = -2*o. Determine v(i(j)).\nAnswer: 20*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**5 - 11737*a**2*h**2 + 88*a + 53*h**2 wrt a.\nAnswer: -40*a**3 - 23474*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 - 6*x - 3. Let a be o(7). Suppose -a*m + 15 = m. Let b(g) = -g**2 + 8*g - 3. Let z be b(7). Is m >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 10 + 8. Let h = k + 9. Let g = h - 3. Solve 2*m - 6*m + 16 = g for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 7:22 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.3 + 4. Let r = 25\/54 - -1\/27. Which is the closest to r? (a) t (b) 0.1 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-18) + 1\/(-18). Let s = -2\/9 - m. Let c = 431 - 425. What is the nearest to -0.1 in c, -4\/7, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 88324551?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 366017 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/45 of a hour?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -1221?\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1708*i - 6285 wrt i.\nAnswer: -1708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22684 by 1444.\nAnswer: -5671\/361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000528092538 rounded to six dps?\nAnswer: 0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**2 + 10*s + 5. Let y be w(-7). Let q = y + 2. What is the remainder when q is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/115 = 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 6*x - 25. Let t be k(9). What is the greatest common factor of t and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (506*a - 293*a - 306*a)*(0 - 4 + 1).\nAnswer: 279*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iqqq. Give prob of sequence qq.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.07889 + 0.37889. Which is the third biggest value? (a) w (b) -21\/11 (c) -4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66602*0.9.\nAnswer: -59941.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 4:05 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*u + 11*u + 3*u + 2*u**2 + 2*u to r*u**2 + c + m*u and give m.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 416 and 288?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -794*o**2 + 535*o - 1097*o + 562*o.\nAnswer: -794*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nqqttqttqntttnntttqq. Give prob of sequence nntn.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 (base 15) in base 16?\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 122, -2291 in decreasing order.\nAnswer: 122, -6, -2291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d - 29. Let n be p(-29). Suppose n = -2*r - 5*r + 1477. What are the prime factors of r?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j + 7. Let x be t(5). Suppose s + 13 = -6*v + 3*v, -3*v = x*s + 11. Let w(l) = -l**3 + l**2 - 2. Determine w(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w**4 + 0*w**4 + 5*w**4 + (-6 + 3 + 4)*(3*w**4 - 4*w**4 + 2*w**4) + 2*w**4 - w**2 + w**2 + (2*w**3 - 3*w**2 + 3*w**2)*(-2 + 3*w + 2).\nAnswer: 17*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -2*s - 2. Let a be (-1 - (s - 2))\/2. Suppose -2*q + 3*q - 2*c - 5 = a, q - 5*c - 17 = 0. Is q > -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195929.\nAnswer: 195929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -88\/95 + 10\/19. Let c(b) = 2*b - 1. Let u be c(1). Which is smaller: n or u?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -7\/2248?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 11:04 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/7 + (-25)\/7 + 302. Calculate the highest common divisor of 130 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = k + 4*k - m, 0 = 3*k - 5*m - 35. Suppose -5*a + 24 = -p, 3*p = a + 3*a - 28. What is the remainder when k is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2435292 a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -137, -135, -133?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(5 + 15\/(-5)). Let c be (1\/x)\/(9\/(-54)). Solve -c = -m, -8 = -2*p + 2*m - m for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of 2*z**3\/3 + 5. Let j(c) = -c**2. Give f(j(l)).\nAnswer: 2*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 9:19 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -89142 + 89141.9999804915. Round c to seven decimal places.\nAnswer: -0.0000195","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 20 = 7*p. Suppose 40 = p*o + 4*l, 5 = o + 3*l - 14. Suppose -5 = -x, 2*c + o*x = c + 22. Solve -c*a + 3 = a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1513\/20 - 70. Find the common denominator of q and 720\/24 + -24 + (-186)\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 440.35 - 440. Let o = 18.5821028 - 18.2321. Let g = o - j. What is g rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14036135 smaller than 14036110?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a factor of 7359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (1380\/8)\/3*(-7)\/4*(-4784)\/(-10465)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 119 - -73?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 353186883 to the power of 1\/3, to the nearest integer?\nAnswer: 707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.09 and -81789.\nAnswer: 7361.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 15*p - 2. Let o(k) = -3696 + 3699 - 20*k - 2*k. What is 7*b(m) + 5*o(m)?\nAnswer: -5*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 divided by -10?\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*i - 2928 = 26*i. Is 3 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2375, -4747, -7121, -9497, -11875?\n\"Answer: -s**2 - 2369*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 323 + -321. Determine y, given that 345*y - y**2 + 5*y**a + 363*y - 684*y + 20 = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7 and -110?\nAnswer: 770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(7 - 3)*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10379 divided by -3.\nAnswer: -10379\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -4076529\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.781 and 5?\nAnswer: 8.905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 5:18 PM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 59? (a) 68 (b) 5 (c) 0.95 (d) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = n - 3*w - 3, 0 = n - 3*w + 9. What is the smallest common multiple of (0 - (1 + 0))*-8 and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**5\/11 + 14*a**4\/11 - 6*a**3\/11 - 46*a**2\/11 - 28*a\/11 = 0. What is a?\nAnswer: -7, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29365457 divided by -851.\nAnswer: -34507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -4*g - 41. Let q(d) = -4*d - 57. Let h(v) = 4*q(v) - 5*s(v). What is h(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2759? (a) -5 (b) 22 (c) 1.1 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 10:27 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44101, 10, 2, 5 in descending order.\nAnswer: 44101, 10, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57293521, -114587042, -171880563?\nAnswer: -229174084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51, -179, -397, -711, -1127, -1651, -2289, -3047?\nAnswer: -3931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 96*z - 167 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27*a**2*p + a*p - p - 41 wrt a.\nAnswer: 54*a*p + p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -669*l. Let v(y) = y**2. Calculate v(x(a)).\nAnswer: 447561*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/15, -0.14, 2, 0, 4\/5 in increasing order.\nAnswer: -0.14, -1\/15, 0, 4\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1.3 (b) 0.3 (c) -141\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3*x - 2*x + 6*x)*(-6*x + 0*x + 5*x) + 2*x**2 + 3*x**2 + 0*x**2)*(39*x - 16*x + 51*x) in the form k + v*x**3 + y*x + b*x**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 14\/9, 1\/4, -5, 5 in descending order.\nAnswer: 5, 14\/9, 2\/3, 1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -316*d + 317*d - 13*w - 213, -5*d - 55 = 5*w for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -37.93 and -0.18.\nAnswer: -38.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14504.968 + -14556. What is c rounded to one decimal place?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2254 divide 759293710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000750431 rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kokkooaakoaokaaaooa. Give prob of picking 3 o and 1 k.\nAnswer: 175\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(-10)\/(-4)*10\/((-50)\/3). Let i be ((-1)\/(-2))\/((-30)\/23). Let o = i - -2\/15. Which is the closest to -2\/7? (a) 0.4 (b) o (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5785 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-705)\/(-65) - ((-28)\/26)\/7?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1760 + 1899 = -152*r - 76*r - 1813 for r.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of 0*x + 0*x**3 + 0 - 3*x**2 - 1\/60*x**5 + 0*x**4. Let z(a) = -3*a. Calculate j(z(u)).\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 2*z**2 + z + 2. Let g = 4 + -2. Suppose 3*r + 1 = 2*t - 1, 0 = g*r - t + 3. Is 15 a factor of o(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bl when two letters picked without replacement from bbblbblbbbbbbbbbbb.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2045)\/(-2)*1*7\/((-35)\/(-8)) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -3150.\nAnswer: -1\/1575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 139*c**4*h - 2*c**3*h - 31*c**3 - c**2*h - 2*c**2 - 2*c*h + 1368 wrt c.\nAnswer: 3336*c*h - 12*h - 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 96252597?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-920)\/(-736)*8\/(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 568 and 989?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14691*a**3 - 14678*a**3 + 17025*a - 34052*a + 17027*a.\nAnswer: 13*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4*z**3 + 115*z**2 - 13*z - 26. Let p be f(32). Is -13755 >= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -569566, -569509, -569414, -569281, -569110, -568901, -568654?\n\"Answer: 19*g**2 - 569585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, 1, 25, 69, 139, 241, 381?\nAnswer: 565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123898624.\nAnswer: 2, 113, 4283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 0, -4*x + 2*a + 0 = -16. Determine s, given that x*s**3 - 6*s - 4 - 8 + 17*s**2 - 5*s**2 + 2*s = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12261 = -961726*v + 961525*v for v.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21621 (base 10) to base 2.\nAnswer: -101010001110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 16 = -p, -16 = p + 4*p + 4*g. Suppose p*s + 4*z - 12 = -5*s, 6 = 4*s + 5*z. Let l = 9 + -2. Solve 0 = s*n - 1 - l for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94, -62, -6, 74, 178, 306?\nAnswer: 458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 10:42 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 67, 212\/7?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 7*z**2 + 27*z - 14. Suppose -118*t - 50 = -108*t. Calculate the lowest common multiple of i(t) and (-3)\/(3\/2*-1).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17379 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -10 + 0 + -1\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -11.93. Let f = -0.9300028 - y. What is f rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z. Let x(j) = 2*j. Let s(k) = 11*g(k) + 4*x(k). Let p(c) be the second derivative of -2*c**3 - c - 132. Give s(p(q)).\nAnswer: 36*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1898?\nAnswer: 2, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 277035358 to the power of 1\/2, to the nearest integer?\nAnswer: 16644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69718*r - 1 - 74543*r + 1.\nAnswer: -144261*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j + 51. Let c be (17\/51 - (47\/6 + -4))*-2. Let f(s) = 17. Give c*f(t) - 2*r(t).\nAnswer: -2*t + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, s: 11}. What is prob of sequence eess?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3101, 6093, 9073, 12035, 14973, 17881, 20753, 23583?\n\"Answer: -p**3 + 2999*p + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one tenth of a milligram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -79*z**2 - 1189*z - 60 = 0. Calculate z.\nAnswer: -15, -4\/79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20427\/130 + 2044\/13. Let s = 0.1 - 0.3. What is the smallest value in -2, w, s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6834046 is divided by 60.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 3*g**2 - g - 4. Let w be b(-3). Let j be -1 + 3 + 2 + w. Let h = -81\/154 + 2\/77. What is the closest to h in -1, j, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-7))\/(30\/560)*(-3)\/(-2).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*s + 5*s - 9 + 4*s)*(3*s + 2*s**3 - 3*s).\nAnswer: -18*s**4 - 18*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1960740 by -32679.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 4*n**4 - 116439*n**3\/2 + 400098*n**2 - 407272*n - 1047456 = 0.\nAnswer: -9\/8, 4, 14548","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 2022212221022001?\nAnswer: 2022212221022001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6, -10\/3, 0, 2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -64*c*g**2 + 3*c*g*q + 3*c*g + g**2*q wrt q.\nAnswer: 3*c*g + g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 17*g - 112. Determine i(16).\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -848116830 divided by 169623366?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10367 - 727?\nAnswer: -10a93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1019241, 2038465, 3057701, 4076955, 5096233, 6115541?\nAnswer: 7134885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2119728 by -258.\nAnswer: 8216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**5\/2 - 35*s**4\/2 - 85*s**3\/2 - 45*s**2\/2.\nAnswer: 5*s**2*(s - 9)*(s + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 p, and 2 f when four letters picked without replacement from {f: 6, p: 1, t: 3, b: 2, u: 2}?\nAnswer: 30\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - h**2 + h - 20. Is t(-15) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -230 or -237?\nAnswer: -237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 3*y + 54. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 17*o**3 + o**2 - 2*o + 4. Suppose y - 3 + 1 = 0. Suppose 7 = y*g - 5. Let l be d(g). Round l to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/27 and -119\/1662.\nAnswer: 14958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 114859853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-10))\/(10\/(-110)*-11)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39349, 318131, 1074825, 2548387, 4977773, 8601939, 13659841?\nAnswer: 20390435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4470219 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 706313626?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107677.\nAnswer: 29, 47, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(4\/9)\/(z\/z**(-3\/4)))\/(z\/((z\/z**(1\/7)*z)\/z)*z**(-5)) assuming z is positive.\nAnswer: z**(895\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 293 + -43. Suppose -w = -6*y + 428. List the prime factors of y.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1385653571.\nAnswer: 53, 2857, 9151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 - 21. Let u(h) = -h**3 - h**2 + 5*h - 1. Let s be u(-3). Solve 4*m = j - 0*m + q, -3*j - s*m - 11 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - m**2 + (-4*m + 2*m + 4*m)*(-m + 0*m + 3*m) + 0 + 19*m**2 + 0.\nAnswer: 22*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 85997 = -3*b, 24*y - 86000 = -3*b + 20*y. What are the prime factors of b?\nAnswer: 2, 3, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -fb3 - -1?\nAnswer: -fb2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from mmdmpmyyd?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/7 + 1\/28. What is the closest to 1 in 1\/5, 5, b?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004780491044 rounded to 7 dps?\nAnswer: 0.000478","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (3 - 10)) + (-19 - 4 - -11)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1127.81 - 1137. Let b = i + 9. Round b to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 8*j**2 - 150*j - 22. Let v be g(19). Solve -24*w - 40 = -v*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 22*i + 78. Let h be r(17). Let g(y) = 13*y**3 - 4. Let b(f) = -27*f**3 + 7. What is h*g(k) - 4*b(k)?\nAnswer: 17*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 491.0623794\nAnswer: 485.0623794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/9)\/((-5)\/72*12\/8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o - 12*o - 525 = 0. Calculate the greatest common factor of o and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -64577445 + 0?\nAnswer: -64577445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2 - y + 4. Give q(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = n - 7*o - 27, -3*o - 25 = -n. Suppose p = -3 + n. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-16)\/(-7) - 2)\/(27\/378). Solve n = -5*w - 0*n - 4, -j = -4*n for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of w**3\/6 - w**2 - 10*w. Let b be -4 + 16 + 3 + -7. Calculate h(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 36993*c**2 - 531*c. Let h(x) = -349*x**2 + 5*x. What is -5*a(f) - 531*h(f)?\nAnswer: 354*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -115045 by 1.\nAnswer: -115045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r, 2*r = 56407*v - 56406*v - 16 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 149.115 - 0.115. Let a = q + -149.5. What is the biggest value in a, -2\/15, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o - u - 19, 0 = -205*o + 205*o + 3*u - 3 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1503\/103 (b) -3 (c) 26\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4756\/27 or 176?\nAnswer: 4756\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 32\/5 of a microgram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 3)*(-6*c + 3*c + 0*c)*(4 - 4 - 2)*(3 - 2 - 3)*(-4 - 16 - 6).\nAnswer: 312*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 49 + 19 = -3*c, -5*c - x = 114. Let t = c - -26. Is t a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1400, 5386, 12024, 21314, 33256?\nAnswer: 47850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 27\/(-72)*4*358\/(-3). Suppose -3*d = -4*o + n, 0 = -5*o - 0*o - 4*d + 216. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/2*(-96)\/240.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1221 and 333?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of y**4\/24 - 22*y**2 + 48. Let u(j) = j - 1. Let t(v) = -10*v + 8. Let h(s) = 3*t(s) + 24*u(s). Calculate h(i(l)).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-14)\/(-8) - 1)\/(-3). Let b = 3 + -3.4. Let f = -0.1 + 4.1. What is the nearest to 0 in z, f, b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 k when four letters picked without replacement from wkyrrkrjkw?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -29*h - 40. Give w(-7).\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 798 + -795. Which is the second smallest value? (a) p (b) -0.6 (c) 1\/2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14068743?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 442*u - 437*u - 2*j - 14584 = 0, 2*j = -2*u + 5828. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m = -m - 1071. Is (36\/m - 14962\/42)*-3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153662046.\nAnswer: 2, 3, 25610341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -384*l - 388*l + 771*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/7, 12, 2090, -3063?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d - 3. Let f be y(-4). Suppose 62 = f*s - 108. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 8\/5 (b) 0.8 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2\/8)\/((-1)\/(-4)). Let v be ((-36)\/15 + 2)*-5. Which is bigger: v or h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - y = -4*v - 2, -4*v - 3*y = 1. Let g(a) be the third derivative of -a**4\/12 - a**3\/6 - 2*a**2. Calculate g(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of 4*r**3\/3 + 8*r**2 + 16*r + 1. Let y(j) = 0. What is j?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 1 - -8) + -11?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 31267*v + 1688089. Calculate b(-54).\nAnswer: -329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 16*n**2 + 14*n - 48. Let l be x(-17). Solve -l*j = 4 - 7 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 6*k**2 - 6*k - 1. What is o(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 20*x**2 + 5*x - 30. Let z(r) = 7*r**2 + 2*r - 9. Let u(i) = -6*y(i) + 17*z(i). Let d be u(6). What is d rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3028.3 - 3027.3. Let y = -0.17 + -1.83. What is the closest to -0.1 in -1, 3, t, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -15, 54 in ascending order.\nAnswer: -15, -9, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 6*c**3 - 3*c**2 - 5*c. Let w(q) = 5*q**3 + 10 - 3*q**2 + q**2 - 10 - 6*q. Let j(g) = 2*m(g) - 3*w(g). Find the second derivative of j(p) wrt p.\nAnswer: -18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7739837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42889?\nAnswer: 7, 11, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2860\/(-660) + (-400)\/(-12)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*b + 4. Let r(w) = -2 + 3*w - 4 + 5. Calculate r(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - 4.25131942.\nAnswer: -0.25131942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, g: 1, s: 3, f: 2, e: 1, r: 4}. What is prob of sequence rtgt?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of t**8\/6720 + t**7\/2520 + t**4\/12 - t. Let h(u) be the third derivative of q(u). What is the third derivative of h(z) wrt z?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*t - 2*t**4 - 12*t - t**2 + (53*t**2 + 110*t**2 - 29*t**2)*(1 - 1 + 2*t**2) - 2*t**4 + 4*t**4 - t**4 as h + z*t**4 + s*t**3 + r*t + m*t**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.64 + 0.2. Let f = 122.496 - 122.936156. Let r = f - p. What is r rounded to five dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u = 5*u - 80. Suppose -3*c - 1161 = -u*c + h, 5*c + h = 5817. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1, 2, 0, -2\/3, 10, -1, -70?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 + 0*x**2 - 3*x**2)*(-1 + 4 - 4) + 59*x - 59*x + 5*x**2.\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 2\/3, -35\/3 in descending order.\nAnswer: 2\/3, -1\/4, -35\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16787*b**6 - 25864*b**2.\nAnswer: 2014440*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225*o + 200*o - 65 + 365 = 0 for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 25*k - 172. Let w = -32904 + 32911. Give x(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 300*u**4 - 89 wrt u.\nAnswer: 1200*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3*v - 23. Suppose 0*o - 5*l = -2*o - 32, 0 = 3*o + l + 14. Determine p(o).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -237, -467, -693, -915, -1133, -1347, -1557?\n\"Answer: 2*i**2 - 236*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 393069289 to the nearest integer?\nAnswer: 733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 8612 = 962. What is the highest common factor of 75 and q?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8564571, 8564575, 8564583, 8564595, 8564611, 8564631?\nAnswer: 8564655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40831.\nAnswer: 7, 19, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, q: 1, o: 2, k: 2, c: 1, m: 1}. What is prob of picking 1 k and 1 q?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 355*j + 251*j - 595*j.\nAnswer: 11*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k + 2524 - 1546 - 983 - 92*k**2 as s*k + o + n*k**2 and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of 0*z**4 + 0*z**2 - z + 3 + 0*z**3 + 1\/5*z**5. Find the first derivative of w(y) wrt y.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**5 - 51*b**4 + 336*b**3 - 1056*b**2 + 1536*b - 768.\nAnswer: 3*(b - 4)**4*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 - 7)\/((-11)\/418). What is the greatest common divisor of q and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(1 - 0) - -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 400*q**2 + 1045*q + 96875. Determine v(-402).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 - 33219 - 9374 = -674*q + 7267 for q.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is r in r**4\/3 + 115*r**3\/3 - 8152*r**2\/3 + 125036*r\/3 - 72800 = 0?\nAnswer: -168, 2, 25, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**2*h**3*i + 4*f**2*h**2*i + 2*f**2*h**2 - 82*f*h**3*i + 104*h**2*i wrt h.\nAnswer: 6*f**2*i - 492*f*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5 = -1. Suppose 1 + 11 = -j*t, -3*l = -3*t - 6. What are the prime factors of l + 21 + -3 + 1?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (4 + (9 - 14) + -5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 170 = 5*h - 50, 4*z = -2*h + 88. Suppose -w = w - h. What is the remainder when 87 is divided by w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51b60b (base 13) in base 16?\nAnswer: 1d25ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -o + 5*m, -2*m + 6*m - 39 = -5*o. Calculate the remainder when 19 is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6070*n**3 + 18208*n**3 - 6079*n**3 - 6091*n**3.\nAnswer: -32*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 97, -9, 1 in ascending order.\nAnswer: -9, -4, 1, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 2*m + m - 140, -3*w + m = -105. What is the greatest common divisor of w and 4375?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232 is divided by 100.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4257431 * 1\nAnswer: -4257431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 57*j**2 - 683*j - 27. Calculate the lowest common multiple of w(-17) and 4.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 - 21. Let g be (-2 - -1) + m\/((-2)\/2). Sort g, 0, 1 in decreasing order.\nAnswer: 1, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9177 and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 44370 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 8*h + 19. Let f = -94 + 88. Let i be o(f). Let s(k) = k**2 - 6*k - 9. Determine s(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 58.2 + -58.1. Put 0, g, 15.2 in decreasing order.\nAnswer: 15.2, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517231247 to the power of 1\/2, to the nearest integer?\nAnswer: 22743","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/3 + 8*j**2 - 746*j\/3 - 1360.\nAnswer: 2*(j - 17)*(j + 5)*(j + 24)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 278 - 47. What are the prime factors of m?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40 - 6*i + 2*i + 7*i to the form u + v*i and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04211 times -883?\nAnswer: -37.18313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 5:45 AM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n = -10*n - 7*n + 530996. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34640?\nAnswer: 2, 5, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -f**2 - 96*f + 897. Let o(m) = 6*m. Determine o(j(g)).\nAnswer: -12*g - 576","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5)\/20 - (-867)\/12?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1452\/7219 (b) -7 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1585?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000548 rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*r - 3108 = -3720 for r.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-3)*(-9)\/(-6). Let x(t) = -4 - 11*t**c + 4*t + 7*t**2 + t**3 + 1. Let b be x(3). Solve -p - p = b for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 less than 12?\nAnswer: 12.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 9*o + 16 = 0. Suppose -9*c + 18 = 54. Let w be (2 - o\/c) + 0. Solve 3*f + 5*r - w = 0, -2*f - 1 = -r + 6*r for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**3 - x**3 + 0*x**3)*(3 + 2 - 3) + (-2*x + 4 - 4)*(-3 + 2 + 2)*(2 + 1 - 4)*(-x**2 + 2*x**2 + x**2).\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -5*k**2. Let q(d) = -90*d. Let z(r) = -5*r. Let i(v) = 6*q(v) - 110*z(v). What is g(i(w))?\nAnswer: -500*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/2 - 5\/10. Put -4, a, -1 in descending order.\nAnswer: a, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 8 - 29 + 9 + d**2.\nAnswer: d**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 9 - 2 = 0. Let b(z) = z**3 + 6*z**2 - 7*z + 8. What is the least common multiple of 1 and b(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - 4. Let i be o(-3). Suppose 3*j + 18 = i*k, -3*k + 14 = 2*j - 12. What is the smallest common multiple of k and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -9853, -39389, -88609, -157507, -246077, -354313, -482209?\n\"Answer: p**3 - 9848*p**2 + p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 41734 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: What is prob of sequence ve when two letters picked without replacement from {v: 15, e: 4}?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (40\/7)\/((-44)\/(-154)). Suppose 0 = -5*w - j + 75. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of s**5\/40 + 125*s**4\/16 + 183*s**3\/2 + 5*s**2 + 79*s + 2. Factor o(l).\nAnswer: 3*(l + 3)*(l + 122)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*3.626.\nAnswer: 1.813","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.5 + 2. Let z = -50 + 51. Sort -0.3, w, z in ascending order.\nAnswer: -0.3, w, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2951 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/5, 424, -0.3, 2\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 7*j**2 - 2*j - 10. Suppose -10*m + 650 - 250 = 0. Suppose m = -5*g - 5*y, 2*g + 5*y = 10 - 29. Determine i(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4608 and 21176576.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 269973 not equal to 269964?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41 - 58. Let n = -16.9999977 - g. Round n to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 230 + -11. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -365*j**2*n + 3*j**2 + 144*j - n wrt n?\nAnswer: -365*j**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a millimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -2*k - 1, -4*m = 22*k - 23*k - 14 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -159\/80 + 19\/16. What is the nearest to 0 in 3, 2\/11, y, 0.5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106 - 544 = -438*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 772313.8 micrometers?\nAnswer: 772.3138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 less than -7595\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.3 (b) -4 (c) -0.5 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-two fifths of a century?\nAnswer: 7680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 6*c + 10. Let v be l(7). Suppose b + 13 = -v*o - 0*o, -5*b + 35 = -5*o. What is the second derivative of b*s**5 + 0*s**5 - 6*s + 9*s wrt s?\nAnswer: 40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of 7\/8*x**4 + 0 + 0*x + 1\/20*x**5 - 43*x**2 + 27\/2*x**3. What is the first derivative of r(l) wrt l?\nAnswer: 6*l + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24713*j**2 + 49426*j**2 - 24714*j**2 - 1964)*(-2*j - 4*j + 4*j)*(-4 + 6 + 2).\nAnswer: 8*j**3 + 15712*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1799844 is divided by 413?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*o + 15 = -11 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 11*j = -21. Let z be -9 - (j + (0 - 3)). Let h be 6\/27 + (-34)\/z. Solve h = -2*r - 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from inniin. What is prob of picking 2 i and 1 n?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 30*k**3 - 25*k**2 - 5*k. Let h(a) = -a**3 + a**2. Calculate -d(y) - 25*h(y).\nAnswer: -5*y**3 + 5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of 0*o**3 + 0*o**6 + 0*o**4 + 2*o**2 + 0*o + 0 + 1\/336*o**8 - 1\/210*o**7 + 0*o**5. Solve f(j) = 0 for j.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 72, 187, 364, 621, 976, 1447, 2052?\n\"Answer: 3*g**3 + 13*g**2 + 55*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 118 (b) -0.05 (c) -98\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 40206314 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1116 and 66?\nAnswer: 12276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**3 - h**2 + 497*h - 2511. Calculate z(5).\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13111 - 13110.990441. What is l rounded to three decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14\/1260*15 - (-698)\/24*-2. Is -46 greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -38.15 take away -0.5?\nAnswer: -37.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5976697*m**4 - 6*m**2 + 8903?\nAnswer: 143440728*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-182)\/(-6) + (-1)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h**2 + 15*h - 53. Let q be j(-10). What is the common denominator of 59\/30 and 9\/(-648)*(-286)\/q?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152 + 90 + 91 + 103*p**2.\nAnswer: 103*p**2 + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**4\/5 + 404*x**3\/5 + 4522*x**2 + 43320*x = 0.\nAnswer: -95, -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - (12\/(-3) + 2). Suppose -2*t - a - 1 = 0. Is (14\/4)\/(t\/(-12)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + b09?\nAnswer: b06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiuunuguuigggbghggbg. Give prob of sequence bnii.\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23763 - -24459. Calculate the greatest common divisor of h and 432.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*t - 147*t = 37*t + 52*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 151*c**2 + 125*c - 3472. Give w(-150).\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 621*x - 609*x + 24 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4338425584?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -4*h - r - 3*r, -r = -3*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(13))*1 + -3.\nAnswer: -1 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n = -3*b - 13*n + 6, b = -5*n + 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4, 9, 46, 119, 240?\n\"Answer: 2*m**3 - m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o\/o**(1\/4))\/o*o\/(o*o*o**6*o)*o\/(o\/(o\/(o*o\/(o*o**4*o))*o)*o)*o*o**(-4))**22 assuming o is positive.\nAnswer: o**(-231\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 2*x = 5*u + 11, 2*u = -2*x + 2 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 8 - (-33 + 2) - (-13 + 1).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Express (-4*c - 2*c + 10*c + 1)*(-2*c - 11 + 11) as r*c + f + w*c**2 and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 59785061 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of -13*o**3\/6 + 63*o. Let z(v) = 16*v**2. Determine p(z(h)).\nAnswer: -208*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6723280?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 90, 118, 130, 120, 82, 10, -102?\nAnswer: -260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 25*o**3 - 39*o. Let j(h) = -464*h + 350*h**3 - h**2 + h**2 - 81*h. Let p(q) = 55*f(q) - 4*j(q). Find the second derivative of p(b) wrt b.\nAnswer: -150*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (-22)\/66 + (-60)\/(-26)*442\/117.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (3 - 1 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 3*t**2 - 4*t**2 - 5*t**2 - t**2. Let o(k) = 5*k - 3. Let u(l) = -26*l + 16. Let i(p) = 16*o(p) + 3*u(p). Calculate n(i(r)).\nAnswer: -28*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32 - 32 + 15*s)*(-3*s**3 + 5*s**3 + 2*s**3 + (3 - 2 - 2)*(-3*s - 2*s**3 + 3*s)).\nAnswer: 90*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 18080.29165 and 2.8.\nAnswer: 18083.09165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*b - 2857 + 841 = 0. Let z = b + 87. Calculate the lowest common multiple of 30 and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 1685 - 193 = 4*v, 0 = 2*v + 4*r - 728. Let c = v + -182. What is the units digit of (25 - 23) + c\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0.5, -3\/2, -0.1, 2\/35, -563?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1456560 and 3941280?\nAnswer: 67001760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l + 2*o + 22, 133*o = -l + 128*o for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of ((-4)\/(-5 + 3))\/(13*(-11)\/(-11726))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/70*-1 + 17\/(-119)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a day in minutes?\nAnswer: 14112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 66875 = -5*n, -n - 4*y = 5250 + 8125. Let h = -8615 - n. Round h to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2206 + 2209. What is the fourth biggest value in 79, 0.5, t, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 13*n - 16*n + 2, l + n - 1 = 0. Let z(m) = 8*m**3 - 2*m - 1 + 1957*m**2 + 0*m**3 - 1958*m**2. Determine z(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60 by -387733.\nAnswer: -60\/387733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74792 is divided by 273.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, q: 6, a: 2, n: 3, p: 2}. Give prob of sequence qpdp.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13142024 - 30?\nAnswer: 13141444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-283)\/((-448838)\/10492))\/(2\/(-26))?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -4*q - 10. Let d be x(-5). Let a be 102\/d - (-1)\/(-5). Is 10 a factor of 5*-3*(-11)\/(33\/a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1017 + 1017 + 1058*q**2)*(q + 2*q - 4*q)*(6*q**2 - 3*q**2 - q**2).\nAnswer: -2116*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/6988 - 234087\/76868. Find the common denominator of f and 77\/32.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 756 - 755.8. Put -2\/17, s, 3\/5, 36 in ascending order.\nAnswer: -2\/17, s, 3\/5, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*o - 174 - 491 = 94 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 4*s**2 + 2342. What is the tens digit of t(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 139*t**3*v**3 + 110*t**3*v - 2*t**2*v**3 - t*v wrt v?\nAnswer: 834*t**3*v - 12*t**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*r**2 - 2379*r + 2151*r**3 - 1028*r**3 - 1048*r**3 wrt r.\nAnswer: 450*r + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i + 1. Let x be y(-16). What is the greatest common divisor of 102 and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6964 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6242 + -6074. What is the greatest common divisor of a and 5901?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - f = 5. Let d(x) = -x - 1. Let v(n) = -12*n**2 - 6*n - 21. Let c(j) = f*v(j) - 18*d(j). Determine u so that c(u) = 0.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 3. Let d be ((-2)\/(-6))\/((-6)\/(-288)). Suppose 2*c - 5*c - 8 = -2*u, -4*u + d = -3*c. Solve c = -l*i - 5*w - 18, i + 0*w - 3*w = 2 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 395 and 0.03.\nAnswer: 11.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/6 - 3)*0\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-361760)\/235144)\/((-4)\/(-26))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 5*d + 7 = 0, 3 = -q - 0*q - d. Let o = 8 - q. Let z(t) = t**3 - 8*t**2 + 7*t. Let k be z(7). Solve o = -2*p - k*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - -132 - (-3 - -6). Suppose 0 = -5*d + z + 39. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16713 is divided by 274?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 1 - 63 + 18 + 36 + 7 - 19*l + 14. Suppose 6*g - 3*g = 12. Let z(u) = -9*u + 6. Calculate g*m(q) - 9*z(q).\nAnswer: 5*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 826885?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/13? (a) 4 (b) -1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4535152*0.108\nAnswer: -489796.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9107224322.99999511 + 9107223218. Let i = 1105 + c. Round i to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -16\/148819?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 50\/(-10)*(-4)\/35\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.24461 tonnes in milligrams?\nAnswer: 9244610000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8591822246?\nAnswer: 2, 7, 613701589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 681697*f - 4090181. Determine j(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 12*i - 60. Let s(z) = -14*z + 60. Let a(t) = 3*d(t) + 2*s(t). What is the first derivative of a(n) wrt n?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*w**3 + 45*w**3 - 15*w**3.\nAnswer: 14*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 4*p - 6. Let u be w(3). Find the common denominator of -2*1 + u\/48 and 7\/(-4)*176\/(-40).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 593 + -353. Suppose 5*j - j = u. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.97544062308 and -37.\nAnswer: -38.97544062308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8120 to the power of 1\/2, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of 34*t**3\/3 - 3*t**2\/2 + 10*t - 11. Is u(2) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -212, -184, -146, -104, -64, -32?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 26, 43565, 9 in descending order.\nAnswer: 43565, 26, 9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 n when three letters picked without replacement from fstnnlnlssostns.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1624*u - 1658*u. Determine r, given that 1\/3*r**4 + 0*r**2 + 0 + u*r - 1\/3*r**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 5*o - 6. Let q = 14 - 11. Is 9 a factor of l(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i = 9 + 27. Let p(q) = 398*q - 5 + 0*q**2 - 407*q + i*q**2 + q**3. Give p(-6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**4\/5 + 10918*y**3\/5 - 14696228*y**2\/5 - 559228992*y\/5 + 573914304\/5 = 0. Calculate y.\nAnswer: -38, 1, 2748","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(12)\/sqrt(4))*2 - -1*sqrt(432)*-1)**2.\nAnswer: 160*sqrt(3) + 364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1053) + 2 + sqrt(1053))*4 + (sqrt(1872) + 0 - (sqrt(78)\/sqrt(6) + -3)))**2.\nAnswer: 1826*sqrt(13) + 89678","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 3:12 PM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 7:32 PM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3208516.7 - -144\nAnswer: -3208372.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.081, 0.4, 3 in ascending order.\nAnswer: -4, -0.081, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/6 (b) -4 (c) -2\/25 (d) 1513 (e) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 350221308?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/(1*sqrt(5)))\/sqrt(72)*1.\nAnswer: sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34560 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 55 + 29. Calculate the greatest common divisor of a and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -254*t**3 + 514*t**3 - 259*t**3 - 1229.\nAnswer: t**3 - 1229","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (253*x**3 - 253*x**3 + 375*x**3)*((-3*x**2 - 4 + 4)*(0 - 2 + 1) - 3*x**2 + 3*x**2 + 3*x**2).\nAnswer: 2250*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 16*w**2 - 35*w + 21. Let z be a(-18). Suppose -12*r + 117 = -z*r. Let u = -14 + 34. Solve -5*t = -u, g + 6*t - 3*t = r for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159788.8g in milligrams?\nAnswer: 159788800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - 2) + (25\/(-5))\/(-5). Which is smaller: g or 9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b**3 - 6*b**2 + 2*b + 3. Suppose -s + 90 = 3*v, -60*v + 12*s = 13*s - 1914. Calculate the remainder when t(4) is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 44, 9.4, 5, -4\/5 in descending order.\nAnswer: 44, 9.4, 5, -4\/5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f, 1 n, and 1 k when four letters picked without replacement from kkvfgknk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + 14*u + 2. Let h be m(14). Suppose i = -0*g + h*g + 353, -5*i + 1705 = 5*g. Let b = i - 52. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61656 is divided by 30825.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**5 + 15*c**4 - 50*c**3 + 10*c**2 + 45*c - 25.\nAnswer: 5*(c - 1)**3*(c + 1)*(c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*k**2 - 4*k**2 - 3*k**2 + 18*k**2.\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 110520804 divided by 27630201?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -11456 < -11455?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 100853287 divided by -1\nAnswer: -100853287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 28 = -3*p. Calculate the remainder when (14\/(-28))\/((-1)\/52) is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 212\/19755 - 4109222459\/434610. Let y = -9459 - v. Let z = -3905\/1424 - -16\/89. What is the common denominator of z and y?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.4 - 2.5. Suppose 6*r = 2*r - 8, -3*k - 5*r - 4 = 0. Suppose -3*u = k*u. Are u and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 43673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 6*v**2 - 2*v + 6. Determine q(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 4*n = -8, o = -3*n + 4 + 2. Solve 0 = -o*z - 2 - 13 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000553025 rounded to seven decimal places?\nAnswer: 0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/246402 and -181\/170352.\nAnswer: 13798512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91967 = -227*s + 107566. Is 879 at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2227 (base 9) to base 2\nAnswer: 11001101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 99 + -94. Let m be c - (-63 + (-20)\/4). Let g = 163 - m. Is 18 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-22)\/110 - (-2 - 8\/(-10)). Let k be (s + 11)\/((-30)\/20). Let g be ((-6)\/(-4))\/((-36)\/k). What is the nearest to g in 2, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**3 - 194508*y**2 - 194505*y + 389014 = 0. What is y?\nAnswer: -194507, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -a**2 - 216*a - 11664 = 0.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0425 and 786.\nAnswer: 33.405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -204113 - -11044?\nAnswer: -143014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1068, 2141, 3214, 4287?\nAnswer: 5360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17849 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.103 - 0.1030661. What is j rounded to 6 decimal places?\nAnswer: -0.000066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-124)\/(-44) - (7 + -4))\/(-1).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 65871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39549 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.05 (b) 10 (c) -2 (d) 1\/4 (e) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 4*t**2 - 6*t - 1. Let q(v) = v. Let f(j) = d(j) + 6*q(j). Let n(a) = a**3 + 6*a**2 - a - 7. Let s be n(-6). Is f(s) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of 0*f**5 + 0 - 1\/8*f**4 + 1\/60*f**6 + 0*f + 1\/2*f**3 - 18*f**2. Is q(2) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90 is divided by 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1050?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 974, 1950, 2926?\n\"Answer: 976*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11528\/(-786)*(-9)\/6?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7602464 is divided by 237577?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9326?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 110 and 11747230.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-1*2\/1)\/((-1)\/(-1))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*m = 15*m. Let f = -1524 - -163064\/107. Are m and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.045 - 0.005. Let u = -0.04 + o. Let x = 154.1 + -154. Which is the nearest to 1? (a) u (b) x (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5*(sqrt(228) + 2*sqrt(228)))\/(sqrt(48)\/sqrt(36)).\nAnswer: -45*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 h, 1 s, and 1 a when four letters picked without replacement from wahshwaqjwwhhq.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -23, -42, -71, -98, -111, -98?\n\"Answer: 2*o**3 - 17*o**2 + 18*o - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, k: 3, e: 4, z: 5, r: 1, s: 3}. What is prob of picking 2 k and 2 s?\nAnswer: 3\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 0 - (27 + -12 + -9) - -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14411829, -28823657, -43235485, -57647313, -72059141?\nAnswer: -86470969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -361691, -723169, -1084647?\n\"Answer: -361478*w - 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (56\/(-280)*1990\/4)\/((-4)\/(-8)). Which is the third biggest value? (a) 19 (b) o (c) 5 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 418581, 418585, 418589?\nAnswer: 418593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42664?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 268194401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1523\/3046*(-1)\/(-67))\/(2\/(-4)).\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uggypydggpuhhghghguh. Give prob of sequence upuy.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {d: 5, r: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4*x + 3 = x, 5*x = -4*o + 12. Let r(b) = 15*b - 14. Let u(n) = -8*n + 7. Let i(d) = o*r(d) + 7*u(d). Is 26 a factor of i(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 1 = -4*u, -2 = 8*u + n + 3*n - n - 9 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2475 and 35773425?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144637013.\nAnswer: 144637013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1085 = -13*t - 461. What is the lowest common multiple of 344 and t?\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g + 2*g - 2*g + (-g + 0*g - 2*g)*(4 + 0 - 1) as t + c*g and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 11*z**2 - 2*z + 35. Let o = -28 + 39. Calculate the least common multiple of o and h(11).\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + n**2 + 2*n**4 + 0*n**4 + 4*n**3 + 0*n**3 + n in the form s*n + w*n**2 + x + l*n**3 + j*n**4 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*t + 729 + 3629 = 3*q - 166*t, 0 = 3*q - 5*t - 0*t - 103 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -177*h**2*l*q - 4*h**2 - 7*l*q**2 - 4416*q**2 wrt l?\nAnswer: -177*h**2*q - 7*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - h - 2. Let g be a(-4). Solve 0 = 2*u - 2*q + g, 3*u - 10 = u - 5*q for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6883938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 81*n**2 + 3*n + 10. What are the prime factors of l(3)?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78443 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 105917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 11*j**3 + 10*j**2 - 3*j - 14. What is t(-3)?\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 107\/16114 or 1\/15?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33 by 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.0044 or 18425?\nAnswer: 18425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/3)\/((-17)\/(-51))*1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -7*c**6\/6 - 2*c**2 + 10. Find the second derivative of y(s) wrt s.\nAnswer: -140*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - 8. What is the remainder when 22 is divided by g(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*b - 16164 - 15281 + 79*b + 31445.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120.2068 millennia to centuries.\nAnswer: 1202.068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -397, -399, -403, -409?\n\"Answer: -q**2 + q - 397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2734 - -316?\nAnswer: 3252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -25, 448, 2 in ascending order.\nAnswer: -25, 2, 18, 448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12380 rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -689.9 + 135.9. Let o = -554.07 - l. What is the nearest to -5 in o, -5\/3, 0.3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 26. Suppose -2 - s = -l. Is 7 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 1. What is the greatest common factor of r and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 7:28 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 135441592?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7634 - 22*y**3 + 14837 - 7203.\nAnswer: -22*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - (0 + 0 - 1). Let k(m) = -2*m + 1. Let h(n) = 10*n - 15. Let g(j) = -36*j + 57. Let w(a) = -g(a) - 4*h(a). Determine p*k(b) - 2*w(b).\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 5*h - 16. Let j be m(4). Suppose 5*o - 107 = j*o - 2*n, 3*o = -3*n + 333. What are the prime factors of o?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/3 + 442*t**2\/3 + 26839*t\/3 - 27280\/3.\nAnswer: -(t - 496)*(t - 1)*(t + 55)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z + 109*z - 238*z + 110*z.\nAnswer: -19*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(2 + sqrt(15)\/sqrt(5)).\nAnswer: 4*sqrt(3) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-138))\/((-19)\/684*254 + 7).\nAnswer: -18\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 59 - 62. Let b = 0.08 - -0.42. What is the nearest to -0.1 in b, t, 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17 by 1168222.\nAnswer: 17\/1168222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -p**6*q - 483*p**3*q**2 + p**2*q**2 - 816*q**2 wrt p.\nAnswer: -120*p**3*q - 2898*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -118*(-1 - 1\/(-2)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63824653 to the power of 1\/2, to the nearest integer?\nAnswer: 7989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -10*s**3 + s**2 + 4*s + 6. Let m be v(-4). Suppose 2*w = -2*k + m, 0 = -3*k + w + 214 + 759. Suppose -6*a + k = -60. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 AM and 11:22 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {g: 3, i: 8, y: 3, m: 3}?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 62.04 + -61. Let r = 0.04 - q. Which is the closest to 2\/3? (a) -1\/3 (b) 3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.80839 plus -23?\nAnswer: -25.80839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(2736) + (2*sqrt(2736))**2 + -3.\nAnswer: 12*sqrt(19) + 10939","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*q - 10*q - 17*q - 1)*(-3*q**3 - q**3 + 6*q**3).\nAnswer: -38*q**4 - 2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.9 - 2. Which is the second biggest value? (a) 2 (b) h (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 8*q**2 - q + 4. Let z(t) = -7*t**2 - 4. Let w(v) = -5*b(v) - 6*z(v). Let h be w(-2). Solve 3*i = -4*r - 16, -5*r + h = i + 11 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -1, 37, 5 in descending order.\nAnswer: 37, 5, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 15\/1157747?\nAnswer: 15\/1157747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1676, -1674, -1670, -1664, -1656, -1646, -1634?\n\"Answer: a**2 - a - 1676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/7, 2\/21, 135\/2, 5?\nAnswer: 135\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 3:56 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3842683\/104 - (-5 - 39\/(-8)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 10*v**2 - 13*v + 16. Let m be u(11). What is the least common multiple of (1 - m\/(-4))*-28 and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((3*(sqrt(15) + sqrt(30)\/sqrt(2)))\/(sqrt(320)*1) - (((sqrt(243) - (sqrt(243) + 1)) + 2)*-3)**2)*2.\nAnswer: -3*sqrt(3)\/2 + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, -4, -0.2, -3, 164\/13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -19, -1\/3, -2\/5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3042182 from 0.61.\nAnswer: 3042182.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -147540354, -295080708, -442621062, -590161416, -737701770, -885242124?\n\"Answer: -147540354*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 936 - -7229. Suppose -3*n = 4*d - 3918 - 1013, -p = -5*n + 4*d. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -48*f**3 + 40*f**2 + 125*f - 13. What is the ten thousands digit of a(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 53828665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17152782 and 342?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 24845164 and 7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -a**3 + 684*a**2 - 35831*a + 416364 = 0.\nAnswer: 17, 39, 628","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-245)\/(-15) + (-4)\/(-6). Suppose -y = -3*b - n, 7*b = -3*y + 3*b - 14. Solve y*a = a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*o = 23991, 3*f - 71965 = -0*o - 5*o. List the prime factors of (-2)\/(2\/(-3) + 15900\/f).\nAnswer: 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z + 6. Suppose -2 = d + 1. What is the least common multiple of i(d) and 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -501, -319, 169, 1113, 2663, 4969, 8181?\n\"Answer: 25*c**3 + 3*c**2 - 2*c - 527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -287*u**3 - 35*u. Let o(s) = -8*s**2 - s - 4. Let a(w) = -2*w**3 + 2*w**2 + 1. Let v(x) = 12*a(x) + 3*o(x). Calculate 3*j(r) - 35*v(r).\nAnswer: -21*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1573) + -1 + sqrt(1573))*-5*-4 + 6*(sqrt(1573) + -1 + -2 - (2*sqrt(1573) + 0)))**2.\nAnswer: -371624*sqrt(13) + 66758552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2*o + 65 = -67, 0 = 3*r - 3*o - 99. Let h be 1\/3*(-6)\/(-2). Let b(f) = 18*f**3 - f**2 + f - 1. What is the remainder when r is divided by b(h)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 2*s - 3*b, 2*s - 4*b - 22 = 6. Let n be 2\/(-3)*-5*3. What is the greatest common divisor of n and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*l - 7. Is -2\/63 at least l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -1 + 195386*l - 195382*l + 1. Let n(q) be the third derivative of 3*q**4 + 9*q**2. Calculate n(t(r)).\nAnswer: 288*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/7 and -47\/1023.\nAnswer: 7161","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 569946798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 1\/4, -5\/81, -0.1, -2036 in ascending order.\nAnswer: -2036, -0.1, -5\/81, 1\/4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1 + 4 + -3*sqrt(539) + -4 + -4)**2.\nAnswer: 210*sqrt(11) + 4880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -4*l - 192, 4*j = 3*j + 4. Let y = 128 + -61. Let c = l + y. Is 23 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37.96 + -0.05297857.\nAnswer: 37.90702143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 2*b - 3*b. Suppose -20 = -b*z + 97. Solve -r - 18 = 5*h, -2*r - 9 = 4*h + z for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 180\/11 - 1271\/77. What is the second smallest value in s, -1, 4\/3, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -32 in -7, -1\/4, 14?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 641*z**3 + 215*z**3 - 3 + 207*z**3 + 217*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -321630 divided by 2130.\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 7 + 5)*(10*i - 4*i + 11*i) + 2*i - 2*i + 2*i - 6*i + 0 + 0.\nAnswer: 302*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 313191150?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 10:38 AM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16)\/((-2 + 3)*-1). Suppose -u + y = -0*u. Calculate the least common multiple of u and 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0*w = -15. Let s be 56\/(-35)*(-3 - (-2)\/4). Suppose -c - w = s*c. What is the closest to 2\/7 in c, -2\/7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 185 and 15278.\nAnswer: 2826430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 512844 is divided by 170257?\nAnswer: 2073","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -1) + (14 - (-14 - -33)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 14553?\nAnswer: 14554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -18 - -8 - ((-8 - 0) + -81 + 74)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (457 - 457 + 58*a)*(0*a - 3*a - 5*a + 2) + 9*a**2 - 2*a + 2*a + (-2*a + 1 - 1)*(4*a - 3*a + 0*a).\nAnswer: -457*a**2 + 116*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -12 (b) -0.3 (c) -5 (d) -39\/5 (e) -1\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b**2 + 4*b**3 + b**2 + 5 - 5*b**3. Let x be u(4). Solve o + 3*o + 12 = y, 2*o = x*y + 12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 2*g + 3*r = 75, -20 = -g - 2*r. Let n = g + -11. Is 2 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -0.2 (b) 57\/200 (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + k**2 - k**2)*(2 - 2 + 3)*(-k**2 - 2*k**2 - 2*k**2).\nAnswer: 15*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173920633.\nAnswer: 31, 47, 79, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 + -30.0000085. Round m to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 363247 is divided by 15133?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -294468 at least as big as -294643?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 6*t - 7*t. Let y be (6 + t)*122\/6. Suppose y*q + 100000 = 56*q. What is q rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 13\/12, 41, -0.02, 0.5 in decreasing order.\nAnswer: 41, 4, 2, 13\/12, 0.5, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -14, 1, 4 in decreasing order.\nAnswer: 8, 4, 1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/2 - 5088*b**2 - 132626*b.\nAnswer: b*(b - 10202)*(b + 26)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 + -17. Let l(z) be the first derivative of 0*z + 0*z**2 + 1\/2*z**4 - 2\/3*z**3 - i. Find the third derivative of l(u) wrt u.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.47*-5\nAnswer: -2.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6, d: 6}. What is prob of picking 1 d and 1 x?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of m**8\/20160 + m**7\/5040 + m**6\/360 - m**5\/10 + 16*m**2. Let i(a) be the third derivative of b(a). What is i(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -122*h + 68 - 4 + 17*h**2 - 10 + 120*h to x*h + b*h**2 + y and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 109 = -316. Suppose 5*f - 270 = -y. Is f a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 283 - 6 - (1 + (0 - -2)). Suppose i = 3*z + 52. What is the second derivative of -12*n - 30*n - 2 + 71*n**5 - z*n**5 + 3*n**4 wrt n?\nAnswer: -60*n**3 + 36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 4*i**2. Let z(o) = 2*o**2 - 4*o + 3. Let t be z(2). Let q(n) = 2*n**2 - t*n - 2*n + 5*n. Determine m(q(a)).\nAnswer: 16*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/4, 0, 3969099?\nAnswer: 3969099","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 46893?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43 + 65 + 36 - 145 - 58*f**2.\nAnswer: -58*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/5 - 4*c**2 + 34*c\/5 - 16\/5.\nAnswer: 2*(c - 8)*(c - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a meter in centimeters?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6882 * -189.\nAnswer: 1300698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 1327*r - 845. Let p be j(3). Calculate the highest common factor of p and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**3 - 2*q**2 + 4. Let j(g) = 194*g**3 - 195*g**3 - 26*g**2 - 4 + 27*g**2 + 2. What is 3*a(c) + 5*j(c)?\nAnswer: c**3 - c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 386771, 3094066, 10442399, 24752288, 48344251, 83538806, 132656471, 198017764?\n\"Answer: 386753*i**3 + i**2 + 21*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -98*t + 20. Let a(u) = 192*u - 37. Calculate 3*a(s) + 5*y(s).\nAnswer: 86*s - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7*(-2)\/2)\/1. Let h = 0 - 4. Let c = h - j. 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 the common denominator of 29\/23301300 and 77\/2456?\nAnswer: 46602600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -8 - 48. Suppose -5*t + 35 = d + 4*d, -d = 2*t - 12. Solve 11 = -3*l - 5*h - z, d*h = -4 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -4 + sqrt(44) + -4)**2.\nAnswer: -20*sqrt(11) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.07, 3\/7, 2.679, 5, 679, -2\/7?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-2) - ((2 - 4) + -2). What is the second derivative of -3*s**3 + 68*s - y*s**4 + 32*s - 69*s wrt s?\nAnswer: -24*s**2 - 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 279 + 1018. Is f a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-872)\/(-218)*(-134434)\/(-7) - 6\/14 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -105 divided by 33729\nAnswer: -35\/11243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2\/10*110\/44*98932?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 374 is divided by 189.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16\/59? (a) 2\/9 (b) 0.5 (c) -4\/5 (d) -603\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002932718326 to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k - 331 = -115. Let p = k - -25. Is 1346*((-5)\/p + -2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-255)\/(-1377)*-3*9\/3\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 240327 and 304704.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of m + 14*m**2 - 2*m**2 + 34*m**2 - 6*m**2 - 43 wrt m?\nAnswer: 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -47*b**2 + 294*b - 38. Give l(6).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17 (base 13) to base 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -250\/651 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 2\/27 (b) -4 (c) 17 (d) -7\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 119260.95.\nAnswer: -47704.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 549118*h - 5 - 549165*h + 5.\nAnswer: -47*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -193*g**3*x**2 - g**3*x + 495*g**3 + 30*g**2 + 115*g*x**2 - 18*x**2 wrt g.\nAnswer: -1158*x**2 - 6*x + 2970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5e2 + 4d?\nAnswer: -594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**5 + d**5 + 4*d**5 + (-d**3 + 4*d**3 + d**3)*(0*d**2 + d**2 - 2*d**2).\nAnswer: -3*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**4\/7 - 1160*r**3\/7 + 16128*r**2 - 3760128*r\/7 + 7077888\/7.\nAnswer: 4*(r - 96)**3*(r - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 4:54 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 x when three letters picked without replacement from {m: 5, x: 2, r: 5, j: 2, w: 5}?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r**3 + 3*r**2 + 7*r - 2. Let g(c) = -2*c**3 - 4*c**2 - 6*c + 2. Let d(j) = -4*g(j) - 3*s(j). Is d(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/((-27)\/6) - (-246)\/9. Let h be (-4)\/1*(-1 - -3). What is the tens digit of (-178)\/h - (-21)\/a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -60608584 divided by -15152146\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(34)*-5)\/sqrt(2)*5)**2 + (-5*(sqrt(187) + sqrt(187)*2))\/(2*sqrt(11)*4).\nAnswer: -15*sqrt(17)\/8 + 170000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-5\/6)*z*z*z\/(z*z**(-4\/15))*z*z**(-39)\/(z**(-1\/3)\/z) assuming z is positive.\nAnswer: z**(-1057\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 + -127. What is the smallest common multiple of 6 and -3*(n\/12 + 3)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1686957420?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + j = -11 + 33, 0 = -2*j - 4. Solve 6*p - 2*p + b = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11718 and 2443854.\nAnswer: 21994686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-4 + 8) - 3. Let d = 13 + i. Is d a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 - 4*r**2 + 2*r**2)*(-2*r - 1 + 1)*(-15 + 12*r**2 + 15).\nAnswer: -24*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3875638227 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2683 - -2653.66. Let f = l + 0.34. Let j = f - -29. Sort -0.1, j, -1\/5 in descending order.\nAnswer: j, -0.1, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(9*b + 6*b + 36*b) + 13 - 8 - 6*b + b.\nAnswer: -107*b + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 8*d + 18*d + 2*d. Let z(q) = -q**2 + 2*q + 6. Let c(f) = 3*f**2 - 4*f - 12. Let t(a) = 3*c(a) + 6*z(a). Give t(i(u)).\nAnswer: 2352*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2*29 - 16\/16.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 201336250 and 2350.\nAnswer: 2350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3\/4, 1\/4, 254 in decreasing order.\nAnswer: 254, 1, 1\/4, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 385035805 and 935.\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 13*o - 226. List the prime factors of l(43).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47264\/26255 - 1\/5251. Suppose -a*j**4 - 3\/5*j**5 + 6\/5*j**2 + 3\/5 - 6\/5*j**3 + 9\/5*j = 0. Calculate j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -6. Solve 0 = 3*g - 3*r - 30, r - 4 = -2*g + z for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 4*p - 5 + 13, -2*p - 14 = -5*y. What is the smallest common multiple of 90 and y?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -50*h**3 - 80*h**2 + 55*h + 186. Calculate i(-4).\nAnswer: 1886","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**2 + 0*n**2 + 0*n**2 + (n**2 - 3*n**2 + 3*n**2)*(0 + 4 - 6) - 13 + 4*n**2 + 5 + 9 - n.\nAnswer: -n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -297, -561, -795, -999?\nAnswer: -1173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31536 divided by 24?\nAnswer: 1314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -63, 2, 4, 0, -1, 25 in increasing order.\nAnswer: -63, -1, 0, 2, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**5 - 2*g**5 - g**5)*(3 - 3 + 1) - 5*g**5 - 2*g**5 - 3*g**5.\nAnswer: -9*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -580561*d**4 - 44*d*w**3 - 39821905*w**3 wrt d.\nAnswer: -2322244*d**3 - 44*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(-3 + (-8)\/(-4)) + 2. Let z be -27*j\/(3 + -2). Let b = 40 + z. Is b a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -614255825 and -4?\nAnswer: 614255821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -12*k**2 - 25*k**3 + 17*k**2 + 16*k - 5 + 9*k = 0.\nAnswer: -1, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15.75 - -16.15. Which is the closest to 1? (a) r (b) -4 (c) 3 (d) -4.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from jjhjhjj?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 634 is divided by 212?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -13 + 9 + g**2 + 6 + 2 + 17*g. Let t be h(-17). Solve 4 = -t*p - 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 229, 3, -0.4, -5, 2\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 470890?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 254526 to the power of 1\/4, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -352547\/30 - -11750. Calculate the common denominator of 125\/12 and f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.61755 to 2 dps.\nAnswer: -2.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**3 - 15 - 2*v**3 + 15.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from aaaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 3:00 PM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7537\/30 - 2509\/10. Factor -2\/3 - q*j + j**2.\nAnswer: (j - 1)*(3*j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 541577.\nAnswer: 541577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**1\/r**(-5)*r**2*r\/(r*r\/(((r**(-8)\/r)\/r)\/r))*(r\/((r\/((r\/(r*r*r**5*r))\/r)*r*r)\/r*r)*r\/(((r**(1\/15)\/r)\/r)\/r))**(2\/23) assuming r is positive.\nAnswer: r**(-1562\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2*m**5 - 2686*m**4 + 977206*m**3 - 125697818*m**2 + 4490090592*m - 47993901696 = 0?\nAnswer: 24, 221, 853","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13220 divided by 10?\nAnswer: 1322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 36 in -13, 0.87, -1, 77?\nAnswer: 0.87","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 19 (b) -3\/2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21.901 - -0.101. Let i = o - -20.8. Let u = 1365\/8 + -171. Which is the closest to 0? (a) i (b) 4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-3)*14\/(-525)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1 (b) 0 (c) 3 (d) -4\/7 (e) -182\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/8 and -17\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-3*(sqrt(5) + -4) - (1*sqrt(60))\/sqrt(12) - (sqrt(1620)*-2 + sqrt(1620) + -1)))**2.\nAnswer: 392*sqrt(5) + 1176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45424 = -556*q - 780*q for q.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3515.5 and -678.5.\nAnswer: 2385266.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-72)\/(-27)*2\/(96\/(-9)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12999283 and 774920?\nAnswer: 519971320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 27569*f - 258. Let q be x(-18). Round q to the nearest ten thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-34)\/2550*70\/(-4). Let r = c + 1\/30. Factor -r*z + 0 + 2\/15*z**4 - 2\/5*z**2 + 0*z**3.\nAnswer: 2*z*(z - 2)*(z + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001110001101110100 (base 2) to base 8.\nAnswer: -2161564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.27 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 - (20 - 6)) + (10 - 1).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23630?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -77562626088 less than -0.3?\nAnswer: 77562626087.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -461.2 and -1435 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5569911, -5569910, -5569909?\nAnswer: -5569908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (160\/448*(-8)\/(-10))\/(8\/126)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27 and 5035176.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s = 710330 - 183020. Suppose 5*r + 23427 = 2*c, -3*c + 4*r = r - s. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 5*d**3 + 49*d**2 - 12*d - 29. Suppose -4*q + 2*r = 11 + 13, 3*q - r + 22 = 0. Give p(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 57*i**2 + 7*i - 42. Is n(49) a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**2 + 294*o + 4344. Calculate the lowest common multiple of g(-16) and 400.\nAnswer: 7600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o = 119 - 69. Sort 2, 11, o.\nAnswer: o, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(72) - (-3 + (sqrt(72) - -2*sqrt(72))) - (-4 + 1 + sqrt(72))))**2.\nAnswer: -3456*sqrt(2) + 10944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 5*k**2 + 8*k - 7. Let y be f(6). Suppose 40 - 150 = -y*o. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 233 or -348?\nAnswer: 233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 19\/4 + (-2)\/(-8). Suppose -y*k + 1 = -69. What is the remainder when (-82)\/((-8)\/(8 - 4)) is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -660657?\nAnswer: 660656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -139 - -549. What is the least common multiple of 14 and (-2)\/(-7) + l\/35?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21692*i**3 + 6816*i**2 + i?\nAnswer: 130152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1423 - 3?\nAnswer: -1431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 5:17 AM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((95\/10)\/19)\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 6, p: 7}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*z**3 - 207*z**2 = 0. Calculate z.\nAnswer: -69, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -52 - -52.87. Let y = w - 0.47. Which is the second biggest value? (a) y (b) 0.2 (c) 1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2796*h**6 + 2*h**4 + 342*h**3 - 2784876*h**2 wrt h.\nAnswer: 335520*h**3 + 48*h + 2052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13*p**3 - p*u + p*w**2 - 22*u*w**2 + 4*u wrt p?\nAnswer: -39*p**2 - u + w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -7\/22 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/18 and -81\/4196.\nAnswer: 37764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -0.0023 (b) -0.2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -a**5\/12 - a**2\/2 + 4*a. Let t(v) be the first derivative of b(v). Let i(p) = p**2. Give i(t(m)).\nAnswer: 25*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -o**3\/3 + 4*o - 32. Let h(r) = -r**3 - 2*r**2 + r + 2. Let x be h(-2). Let q be l(x). Solve -q = 4*n - 20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u + 0*u - u)*(2*u - 2 + 2) - 5 - 4*u**2 + 5 + 0*u**2 + 2*u**2 + 2*u**2 to y*u + v*u**2 + o and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(42)\/((sqrt(210)\/sqrt(7))\/sqrt(5)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*q + q + 60. Solve 6 + q = -4*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**2 - 3*b**2 + 32 + 44 - 22 in the form v*b + o*b**2 + t and give t.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-244*m - 55*m**2 + 244*m)*(-4*m + 4*m - 3*m).\nAnswer: 165*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2735 - -2743. What is the biggest value in 1\/3, 1.3, 0.1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1906*x**5 - 3*x + 1904*x**5 + 0*x**3 - x**4 + 3 + 0*x**3 wrt x?\nAnswer: -40*x**3 - 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*g + 174*g = 224*g + 2755 for g.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.4 (b) 1\/3 (c) 0.4 (d) 4 (e) -0.02 (f) -340 (g) 23\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3908353988734 - -3908353986335.999998599. Let l = -2398 - d. Round l to seven decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-36)\/(-15)*(-50)\/(-15). Solve q = -s - p, 0 = s - 4*p + 3*p for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -2. Let i(y) = y + 3*y - a*y - 4*y. Let l(o) be the first derivative of o**2\/2 - 61. Calculate l(i(k)).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 937265578?\nAnswer: 2, 13487, 34747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3127008.\nAnswer: 2, 3, 32573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -48064846 and 2.\nAnswer: -48064844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w - 4. Let k be d(8). Let u = k + -11. Let t = -13 - u. Solve 3*n - t = 2*j + 3*j, -4*n + 10 = -5*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.6 - -3.4. Let z = 1.11 + -74.11. Let d = -70 - z. What is the second biggest value in 1, n, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + 6\/(-3) + 0. Let h be 1\/i*-2 - -16. Let m = h + -8. Calculate the smallest common multiple of 4 and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-27))\/(-4) - (42 + -42)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (6\/((-18)\/(-21)))\/(1\/19).\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 16*y + 32. Let m(x) = 3*x. Let l be m(1). Suppose 0 = 5*h - l - 32. Calculate the remainder when h is divided by t(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 7*z**2 + 6. Determine q(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (0 - (2 - (6 - -2) - -10))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 128 - 90. Suppose -3*b = 2*b - 65. Suppose -p + z = b. Is 13 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**4 - 546*j**3 - 507*j**2 + 6516*j.\nAnswer: -3*j*(j - 3)*(j + 4)*(j + 181)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51838875 and 6390?\nAnswer: 3195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/8)\/(2\/(-96)). Let r = 56 + z. Suppose 6*j + r = 3*o + 2*j, -j - 20 = -2*o. Solve 16 = b - 5*h, 3*b - 8*b + 2*h - o = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.42433 to two decimal places.\nAnswer: -9.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 46347 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 267.006 and 27706739?\nAnswer: 27706471.994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 27643?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g - 2. Let u(i) = 315*i - 5 + 320*i - 639*i. Determine 7*f(y) - 2*u(y).\nAnswer: y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of z**4\/12 + 25*z**3\/6 - 13*z**2 + 34*z. Give q(-26).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000020687 to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -16865\nAnswer: -1\/3373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (223*a + 209*a + 685*a - 26*a)*(3*a - 2*a**2 - 3*a) to the form m*a + h*a**3 + r*a**2 + d and give h.\nAnswer: -2182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -j**3\/4 + 93*j**2\/4 + 15309*j\/2 + 329120 = 0.\nAnswer: -85, -64, 242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 2. Suppose -15 = 5*o, 4*o = 3*v - v - 104. Let c = 48 - v. Calculate b(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -524*p - 925 - 3791 = 0 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4}. Give prob of sequence cc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2094 - 2072. Calculate the least common multiple of 304 and p.\nAnswer: 3344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of 0*a**5 - a**2 + 0*a**4 + 0*a**3 + 3\/280*a**7 + 0 + 0*a - 1\/80*a**6. Factor u(z).\nAnswer: 3*z**3*(3*z - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 17801520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 12*t + 7. Let i(y) = -11*y - 6. Let m be (-6)\/(0 + -2) - (40 - -3). Let v = m - -47. Determine v*i(j) + 6*w(j).\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/120 and -49\/270.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o - o**3 + 2*o + (-2 + 2 + o - 3 + 3 + 2*o + (0*o + 0*o - o)*(2 - 1 + 1) + 2*o - 3*o - o - 4*o + 2*o + o - 4*o + 2*o + o)*(-3*o**2 - 2*o**2 + 4*o**2).\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -191837*x**2 - x + 6. Let q be i(-7). What is q rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 8*l - 5. Let k be b(6). Suppose 20 = 3*i - k. What is the remainder when i is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -79 in -2\/67, 19\/7, 5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 25764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**0*j*j**(4\/5) assuming j is positive.\nAnswer: j**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1413132242 + -10?\nAnswer: 1413132232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0.3 (c) -3128 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d + ca?\nAnswer: bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 411758?\nAnswer: 2, 205879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13292, 26464, 39636, 52808, 65980, 79152?\nAnswer: 92324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 134691?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 8*f + 4. Let u be g(-3). Let r = u + 10. Let q(m) = 2*m - m + 0 - 12 - 7*m + 4 + 5*m. What is q(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60144?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2 + sqrt(432)) + 2.\nAnswer: -72*sqrt(3) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - k. Let w(a) = 7*a**2 - 6*a. Let u(p) = w(p) - 6*x(p). Let o(b) = -2*b**2. Determine u(o(z)).\nAnswer: 4*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-4*(sqrt(1900) + 2) + 2)*3*-1)**2*-2.\nAnswer: -2191392 - 34560*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r - 3*r - r. Let x(f) be the first derivative of 2*f**3\/3 - 4. Determine h(x(z)).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -2\/7 (b) -529\/6 (c) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vh when two letters picked without replacement from hvvvvvvhvvvvvvvvvvvv?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67\/(-268) + 145658\/8.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2641 - 2?\nAnswer: 2639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/8 in 0.5, 2, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q - 1 - 3 - 3. Let j be z(8). Calculate the remainder when j + (22 - (2 - 3)) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**2*u**(-6\/17) assuming u is positive.\nAnswer: u**(28\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -264 - -270. Let n be 2\/5 - 15\/(-25). Which is the nearest to u? (a) n (b) -0.4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 68905520 - 1860685228\/27. Let d = n - -8750. Calculate the common denominator of d and -16\/11.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*r - 2*r + 44*r)*(4*r - 2*r - 3*r) - 4*r**2 - 1 + 1.\nAnswer: -33*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1280 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/(28\/12)*5\/(-5). Solve 5 + z = 4*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(-14)\/(-63)*(48\/(-2))\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/(-14)*0\/(-2). Suppose m + f = 4. Suppose -5*d - m*a = -182, 0 = -3*d - 3*a + 108. Calculate the remainder when 74 is divided by d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/((-16)\/(-12)*9). Which is bigger: r or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6045384?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -5*n - 10*i + 121290000, 5*i = 6*i. What is n rounded to the nearest one million?\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 25 = -4*n + 2*n, 0 = -2*n + 2*w. Suppose -n*l + 6*l = 2. Let g(h) = h**3 - h**2 + 2*h - 3. Let z be g(l). Sort -2, 11, z.\nAnswer: -2, z, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167 = 120*u - 913 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1215171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of z**5\/60 + 7*z**2\/2 - 15. Let r(h) be the second derivative of d(h). Let l(u) = 2*u. Give r(l(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -2*u + 30, -4*u + 7*f - 17*f + 72 = 0. Solve 10*s + w = 5*s - 27, -3*s = u*w + 21 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-354)\/(-885))\/((-15)\/1725)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5775 and 71715.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 2) + -8 + (28 - 16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 3806 to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 4*n + 3 + 0 - 3*n. Let g be i(-4). Let b = 3 + g. Solve b*z - 3*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**2 - 5*y. Let l(k) = 3*k**2 - 7*k. Let i(a) = 7*h(a) - 5*l(a). Let r(j) = -45 - 40 + 123 - 45 + 3*j. What is r(i(z))?\nAnswer: -3*z**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 54 divided by 9\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 41 = -2*y, -4*m + 55 = -3*y + m. Suppose -2*r - x + 14 = 3*x, 4*r - 2*x + 12 = 0. Let l be (-40)\/y*(r - 1\/1). Sort 2, l, 4 in ascending order.\nAnswer: l, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/8364 and -63\/82?\nAnswer: 8364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-456)\/(-30) + (-455 - -440))\/((-1)\/70).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*b**2 - 10364*b + 921600.\nAnswer: -(b + 1024)*(11*b - 900)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49627?\nAnswer: 49627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -8*i**3 + 9*i**2 + 16*i - 12. Let x(h) = -3*h**3 - 2*h**2 + h - 2. Let q(c) = -w(c) + 3*x(c). Suppose -4*z - 61 = -5. Give q(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-8)\/n*n)**4)**(-2\/17) assuming n is positive.\nAnswer: n**(64\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-5)*(-8)\/12\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 178238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1522194306.\nAnswer: 2, 3, 67, 3786553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(65) + sqrt(65))*4)\/(-6*sqrt(20)\/sqrt(4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2818 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -33430045151 + 2?\nAnswer: -33430045145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, h: 2, p: 4, l: 2}. What is prob of picking 1 l, 2 k, and 1 p?\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 8*d + 6 = k, -2*d = 4*k - 6. What is the lowest common multiple of 4 and ((-5)\/(-75)*d)\/(1\/15)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 140 and 247674?\nAnswer: 2476740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gjdjcsjjjcsjjjgjjjjg. What is prob of picking 1 j, 1 s, and 2 g?\nAnswer: 24\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4407 - 4395. Let f(o) = o**3 - 13*o**2 + 14*o - 15. What is f(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 + -30. Let u(z) = z**3 + 12*z**2 + 12*z + 16. Let m be u(t). Calculate the greatest common factor of 45 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.956493937 to three decimal places.\nAnswer: -6.956","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.1324 times 0.176\nAnswer: 0.0233024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (31\/3)\/(9\/27) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(343)*4 + sqrt(343) - 3*sqrt(448)))**2.\nAnswer: 13552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tfj when three letters picked without replacement from {w: 6, t: 2, y: 6, f: 3, j: 2}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 24*c - 149. Calculate q(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4b2 (base 16) to base 6\nAnswer: 5322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-95)\/(-3))\/19*3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1321 and 0.4?\nAnswer: 0.05284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - i**2 + 4. Let j be 0\/(-3)*2\/6. Let z be h(j). Suppose 2*s - z*s + 14 = 0. What is the highest common factor of s and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 2\/5, 2, -177 in descending order.\nAnswer: 3, 2, 2\/5, 0, -177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 81\/4 of a meter?\nAnswer: 2025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/3)\/i)**(-27)\/(i**(-2))**(-1\/7) assuming i is positive.\nAnswer: i**(250\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (58 - 21) + -45 - (-2 - -1 - 20).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 12510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yiiyiiyyyyyyyyyyyyy.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 15.5. Let n = 2.4945 + h. What is n rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 1.4805, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 - 120000?\nAnswer: -112202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from apapoapaqyqappa. What is prob of picking 4 p?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -146288581, -292577162, -438865741, -585154318, -731442893, -877731466?\n\"Answer: p**2 - 146288584*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 17125?\nAnswer: 17121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -3*h + 1. Let j(u) = 23*u - 4. Suppose 0 = -5*s - x, 4*x + 2 = 22. Let l(b) = s*z(b) - j(b). Let y(t) = 2*t**2. Determine y(l(k)).\nAnswer: 800*k**2 - 240*k + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-8 - (3 + -3)) - (-1 + 47 + -21).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - 17. Let o be x(5). Let v be 4 - 3 - o*23\/(-2). Let g = 180 - v. Does 28 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2892, -5533, -7712, -9201, -9772?\nAnswer: -9197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24 - -50 - 35) + -4.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4406 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of 11*u**3\/6 - 13*u**2\/2 - u + 17. Let v(d) = 5*d - 6. Calculate -6*c(o) + 13*v(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(-15) + 69\/9. What is the highest common factor of s and 120?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (144\/(-6))\/(-168)*14\/(-10)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59*u**2 + 31*u**2 + 32*u**2)*(5 + 0 + 1).\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -28, -36, -48, -64, -84?\n\"Answer: -2*s**2 - 2*s - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/80 and 31\/160.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + (20 - ((-16 - -1 - -5) + 20)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**3 - 1 + 1 + (7 + 4 + 2)*(-z**2 + z**2 + z**3) to the form u*z + i*z**3 + w + l*z**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 100 + -103. Suppose -4*u + 0*u = -16. Let n be 3525*(u - (-20)\/i). What is n rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - ((10 - 6 - 98) + 19)) + -20?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.3 + -1.3. Which is the closest to -1\/3? (a) x (b) -2\/7 (c) 0.3 (d) 3\/31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 4*y**2 - 3*y + 7. Let l(g) = g**2 - 11*g + 24. Let i be l(6). Calculate x(i).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3 + 92298*w**2 + 369180*w + 369176.\nAnswer: (w + 2)**2*(w + 92294)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 1806?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3ac (base 14) in base 12?\nAnswer: -518","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 3*q + 3 = 0, -4*v + 5*q - 22 - 10 = 0. Let y be (v\/(-2))\/(1\/2). Solve 4*z - 8 = 4*m, -y*z + 7*z + 5*m + 19 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-14) + 37\/7 + -2. Suppose 36 = 6*c - n*c. What are the prime factors of c\/(-10)*495\/(-6)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-189)*-6 + (-19)\/(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 98383121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 8, 0.2, -5 in increasing order.\nAnswer: -5, 0.2, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 80770\/99 + -8980\/11. Find the common denominator of n and 5\/72.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74\/289 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-36)\/30*20\/16.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01516 rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -8*j**2 + 1290*j - 7802. What is c(6)?\nAnswer: -350","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 20764352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15456 + -15454. What is the biggest value in 56, 23, d?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-9))**34\/(f\/(f*f**11))**(-24) assuming f is positive.\nAnswer: f**(-570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64 and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 313*x. Let o(u) = 940*u + 1. Give 2*o(h) - 7*v(h).\nAnswer: -311*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1319.8263 rounded to 0 decimal places?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4176*-0.1.\nAnswer: -0.04176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51687.\nAnswer: 3, 5743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) -4 (b) 0 (c) 3\/7 (d) 5.19 (e) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**2 + z + 8. Let f be b(7). What is the tens digit of f\/(-6) + 3\/18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-9 - -16)) + 2 + (-5 - (43 + -2))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -260 divided by 10\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 6762555\nAnswer: -1\/2254185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yoalao. Give prob of sequence oy.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54 - 5*f + f + 3*f + 0*f + 492.\nAnswer: -f + 438","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2910 divided by -2?\nAnswer: 1455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 473014.\nAnswer: 3311098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 237 + -233. Let u(y) = y**2 - 6*y + 2. Let n(l) = 8*l - 10. Let m be n(2). Let c be u(m). Solve k*s + 7*x = c*x + 7, 4*s = 5*x - 23 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**3 - 17880378*y**2 - 26642326451907*y = 0. What is y?\nAnswer: -2980063, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*a**5 + 0*a**5 + 0*a**5 + (0 + 0 - 2*a**2)*(0*a**3 - 2*a**3 + a**3).\nAnswer: -4*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51396 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -5, -6, -47 in decreasing order.\nAnswer: 11, -5, -6, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-244)\/(-183)*((-1)\/(-8))\/1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 0, -f = -3*f - 2*v. What are the prime factors of ((-264)\/(-110))\/((-2)\/(-355) + f)?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -80*x**3 + 1 + 80*x**3 - 2*x**4 + (-x + 2 - 2)*(2*x**3 + x**3 - x**3).\nAnswer: -4*x**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1203 = -8*a + 1029. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(3 - 0)*1. Let k(q) = -3 - 1 - i*q + 0*q + 3. Give k(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.034 + -0.154. Let l = 78.12 - 78. Let i = y + l. Which is the second smallest value? (a) 0.4 (b) -1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 5*z - 30, z - 10 = -2*j + 5*j. Put -30, j, 2 in decreasing order.\nAnswer: 2, j, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 4*b**2 - 5*b - 6. Let d be c(6). Suppose -141 - d = -3*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22317773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = 17*n - 45. Suppose -7*l + n*l = -130. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -6*q**3 + 140*q**2 + 4*q. Let d(w) = 7*w**3 - 143*w**2 - 5*w. What is -4*d(n) - 5*t(n)?\nAnswer: 2*n**3 - 128*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1460243.81422 + 1460173. Let n = y + -0.13678. Let l = 71 + n. What is l rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -5*k - 4, -n - 4*k - 16 = 0. Let a = -3 + 4. Calculate the least common multiple of 16\/(-3)*12\/n and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 12:11 AM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/(k*(k\/k**1)\/k))\/k)\/k)\/(k\/(k*k*k**0)))\/(k**7\/k*k*(k*k**5)\/k) assuming k is positive.\nAnswer: k**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -115 - -142. Suppose -2*a - 4 = -5*g - u, 4*a + 5*g - 1 = 0. Suppose 5\/3*b**4 + 0 + 2\/3*b + a*b**3 + 3*b**2 = 0. Calculate b.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**1)**(-6))**(-23) assuming n is positive.\nAnswer: n**138","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, u: 1, p: 9, r: 1}. Give prob of sequence ur.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*10\/(-20))\/(10\/(-2)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/8 - (-2155)\/(-10). Let b = -2 - t. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*g**2 + 2*g**2 + 0*g**2)*(5 + 3 - 6) - 4*g**2 + g**2 + 4*g**2 + 1 - 1 - 4*g**2)*(g - 3*g + 4*g).\nAnswer: 10*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 1) + 1 + 54 + -46.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15 - 5 + 15 + (-3 - 4 + 3)*(-4 + 2 + 0))*(-4 + 4 + m) to p + j*m and give j.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/10*210\/(-126).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -5. Suppose n*a - 12 = -4*a. Solve 0 = 3*j + a for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - -5 - (-8 + -70 + 3) - (11 + -15)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -53, 721, 1, -6, -2.\nAnswer: -53, -6, -5, -2, 1, 721","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 265, 270, 275?\n\"Answer: 5*d + 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.06 from -8.154.\nAnswer: -8.094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1027803 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -33, -445, -1129, -2085, -3313, -4813, -6585?\n\"Answer: -136*n**2 - 4*n + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 407121\/1971 - (-8)\/18 is divided by 35\/(-2)*(1 - 3).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millennium in years?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 2*r = 0, -2*c - 5*r = 2 - 3 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than or equal to -515?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.475 * -3849\nAnswer: 1828.275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*k + 27*k + 3*k**3 - 49*k.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 141.8557l in millilitres?\nAnswer: 141855.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.192, 4, 0 in ascending order.\nAnswer: -5, -0.192, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 128*z**2 + 0*z + 2*z + 21741*z**3 + 13 - 128*z**2. Let v be o(-3). What is v rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4178\/127 + 1848451\/57404. Let c = h + 5666\/3955. Let a = c - 9\/20. Are 1 and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, n: 12}. What is prob of picking 2 n and 1 y?\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0295728779 rounded to six dps?\nAnswer: -0.029573","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from zrzzrrzzzzzzzz?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, v: 2, r: 4, z: 1, i: 5, y: 1}. What is prob of sequence vqi?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**5)\/(u*u**(9\/2)))**(10\/3) assuming u is positive.\nAnswer: u**(-95\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*f - 1068 = 0. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 241628*s + 4365. Is x(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away 0.854482?\nAnswer: -0.654482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 at most 250?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -531 = 6*c - 567 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ewie when four letters picked without replacement from {e: 3, m: 2, w: 1, g: 2, i: 4}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/7 greater than -4273069?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 5. Let p = a - -5. Suppose 2*k + 2*u + 3 + 5 = 0, p = -3*u. Sort -1, k, 2 in decreasing order.\nAnswer: 2, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 13 = -17. Let n be (8\/6 + 0)*l. What is the units digit of n\/20 + (-7)\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/14)\/(((-17)\/((-1190)\/20))\/(49\/(-28))).\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-640)\/30)\/8*((-30)\/(-4))\/(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (23 - 8 - 16)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24962 and 434.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -4*s, 6 = 5*p - p - 2*s for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 25, 2.5, -0.3, -0.01?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79553112?\nAnswer: 2, 3, 3314713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -121, -123, -125, -127, -129, -131?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 12*p**2 - 17*p - 50. Give h(-2).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/10? (a) 0.2 (b) 3\/5 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -23*n**2 + 37*n - 10. Is t(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*n - 185166 = 52*n - 76*n. Solve 2277*c = n*c + 18 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.06 (b) 9253 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4357332034 a multiple of 197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x + 8. Let z be o(-10). Let t = 23 - z. Suppose 75 = 2*g - t*a - 13, -2*g - 2*a + 74 = 0. Calculate the greatest common divisor of g and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 4*a + 734, -3*x = -20*a + 16*a - 1111. Let i = 455 - x. Is i a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1804 - -1707.7. Let u = 91 + y. Let p = u + -3.2. What is p rounded to zero decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-5))\/((-4)\/6*-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 6 + 2. Let a be -3 + (b - 15\/(-3)). Suppose a*o = 6*o - 6. Solve 0*n = -3*l - 3*n + 3, 0 = -o*l + n - 17 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59088 a multiple of 207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, h: 14, i: 1}. What is prob of sequence qi?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c + 1. Suppose -j - 3*a = -3, 4*j + 0*a + 2*a + 18 = 0. Suppose 3*w - 94 = -2*w - 3*i, -3*i = w - 14. Let k be j\/(-18) + w\/(-6). Determine f(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -277, -271, -265, -259?\nAnswer: -253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4*m + 18 = 0. Let o = m - -4. Let k = -2 + o. Let p(x) = -x**3 - 4*x**2 + x + 2. What is p(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7980.664 rounded to the nearest one hundred?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 1:14 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.5095534 centuries?\nAnswer: 5.095534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 83*g**2 + 16*g + 882. Calculate x(-83).\nAnswer: -446","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 45 = -33. Factor 0 - 3\/2*u**3 + 3\/4*u**5 + 0*u**2 + 0*u**a + 3\/4*u.\nAnswer: 3*u*(u - 1)**2*(u + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/8 + 399\/(-4). Let n be k\/(1 + 74\/(-73)). What is n rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62911357 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 0*m - 5 + 6*m**2 + 3*m - 6*m**3 - m + 7*m**3. Calculate z(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 5*j - 20 = 0, 2*j + 8 = -0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -2*q**2\/15 + 106*q\/15 - 20 = 0.\nAnswer: 3, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 4 + 9. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11810099 and 8435785.\nAnswer: 59050495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -46, -43, -16, 41?\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 3.9. Which is smaller: l or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -73.83 - -68.83. Which is the second smallest value? (a) u (b) 3 (c) 6\/7 (d) -2\/9 (e) 5\/31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 10:34 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -88 - -3?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -350.6, 2\/17, -5?\nAnswer: -350.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 715 and 27445?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5336 take away 71.07148?\nAnswer: -5407.07148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: 122\/(-510) - 48\/30*(-5)\/40\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a day in hours?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2315, 1, -2\/77?\nAnswer: 2315","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -170035 - -810138. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i - 5*i - 28 = -9*i. Solve -4*v - 11 = 3*x + 1, -16 = i*v + 4*x for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 13*d - 12. Let u = -19 + 16. Let m(p) = -2*p**2 + 25*p - 23. Let z(g) = u*m(g) + 5*h(g). What is z(7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/4 (b) 5768 (c) 26.3 (d) -1\/9 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 572\/(-7150) + ((-381)\/(-25))\/3. Solve 3*x - 6*x + 12 = -3*h, -x = -v*h - 8 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -u**4 - 9376*u**2 - 12195 wrt u.\nAnswer: -4*u**3 - 18752*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(624)*2)\/sqrt(3)*6 + 5 + (sqrt(1872) + 0)*-5 + sqrt(1872) + sqrt(1872))*-1)**2.\nAnswer: -5691 - 360*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -89*t + 81*t + 288. Suppose 144 = -3*l + 4*l + s, 0 = s + 4. Suppose b + 7*n - 4*n = 37, -4*b - n + l = 0. Is b >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 50 = 52 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 16 = -3*j, -45*v + 74 = 3*j - j + 68*v - 129*v - 44 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12635316 by 18.\nAnswer: 701962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (140\/84)\/((-4)\/(-36))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of 1\/24*f**4 - 1\/60*f**6 + 1\/30*f**5 - 7\/2*f**2 + 0*f**3 - 11*f + 0. Let o(b) be the first derivative of q(b). Determine o(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q. Let o(y) be the first derivative of -2881*y**2 + 3182. Calculate j(o(k)).\nAnswer: -5762*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -614290*p**3*x**3 + 29*p**2*x**3 - p*x - 2*p - 4393*x**3 + 1 wrt p?\nAnswer: -3685740*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 + 6 = -39*c. Is (23462 + -201)\/(2\/c*-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 17*s**2 + s + 6. Let z be 17\/(-2)*(12 + -10). Let k be l(z). Which is bigger: -12 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 2*h = -4, -160*n = -165*n - 3*h - 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 278330 or 3061618\/11?\nAnswer: 3061618\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4abb5 (base 16) to base 9.\nAnswer: 515802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 9, 5, 0.3912 in decreasing order.\nAnswer: 9, 5, 0.3912, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 1. Let t(b) = -b**2 + 18*b + 5. Suppose -f = -3*f + q + 36, q = -3*f + 54. Let k be t(f). Let d(u) = -7*u**2 + u + 3. Give k*v(p) + d(p).\nAnswer: -2*p**2 + p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + 26. What is the highest common divisor of 279 and m?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32 + 32?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iyi when three letters picked without replacement from {i: 2, y: 6, n: 4}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + (6 - (1 - (7 - 7))) + 6?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a hour in minutes?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1*2 - (-369355)\/(-185745)\nAnswer: 1\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = o + 1. Suppose 0 = 4*a - 0 - 24. Suppose -y = -o*y + a. Solve -3 = y*j + j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-1) - (1 - 7). Let h = -6 + l. Which is the third smallest value? (a) 1 (b) -2\/7 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 830.355 hours to minutes.\nAnswer: 49821.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 4*t - 12168, 107*t = 122*t + 60. What is the remainder when u is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134977036.\nAnswer: 2, 37, 912007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 5*s - 2*s = 252783979, -4*z - 4*s - 252784028 = 0. What is z rounded to the nearest 1000000?\nAnswer: -63000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + 1. Let v(l) = -9*l + 13. Let a(s) = -4*s + 4 - 4 + 6. Calculate o*a(r) - 6*v(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -7) + (-84 - (54 - 134))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -1 (c) 97349\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*l**2 + 130552*l - 1065239044 = 0. Calculate l.\nAnswer: 16319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(-6 + 2)*1. Let b(m) = m**2 + 5*m + 8. Let w be b(q). Factor 456*s**5 - 132*s**2 + 345*s**3 + 132*s**5 + 186*s**3 - 1342*s**4 + 12*s + 418*s**w.\nAnswer: 3*s*(2*s - 1)**2*(7*s - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 31 = -6. Let l(z) = t*z + z + 4 - 179*z**2 + 1 + 0*z. Let a be l(-5). Round a to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.737 - -18.737. What is the third biggest value in t, 17, -4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34401 (base 12) to base 7.\nAnswer: 410125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 26890, 54288, 81728, 109210, 136734, 164300, 191908?\n\"Answer: 21*z**2 + 27335*z - 466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 173 + -154. Let u be (0 - 0)*(-7)\/(-7). Suppose -6*g + a*g - 1833 = u. Is g a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -303 + 302.435. Let u = 0.555 + c. Which is greater: u or -0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 - -42. Suppose -n*r + 226 = -129. List the prime factors of r.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppyxoxypppyypyoox. What is prob of picking 1 p, 1 o, and 1 x?\nAnswer: 27\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000552011374 to 6 dps.\nAnswer: -0.000552","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + (-1 - -1 - 6) - 5?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of 51 + 1\/2*p**2 + 2*p - 1\/2*p**3. What is j(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 130, 1, -6 in descending order.\nAnswer: 130, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49) + sqrt(5929)*2 + sqrt(49))\/(2*sqrt(28)) - (sqrt(175)*2 + 5 - (sqrt(175) - (2*sqrt(175) + sqrt(175))*-4))**2.\nAnswer: -21200 + 556*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 642079722?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -195220, -195217, -195214, -195211, -195208, -195205?\nAnswer: -195202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 241845 and 27715?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + (-2 - -2)*-1. Suppose -k*q + 16 = -0*q. Suppose -c + q + 39 = 0. What is the remainder when c is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 g when four letters picked without replacement from dvvvdngggd?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43 + 37. What is the closest to -0.1 in r, 0, -3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/55)\/(24\/60)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -4405 > -4405?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -11*z + 2 - 13*z + 23*z. Let m be ((-10)\/(-6) - 1)*6. Let v be c(m). Which is greater: v or -8\/7?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-10) - (-6)\/(-10). Let z = -3 + 5. Let q(x) = x + x - 2*x + 3*x**z - 1. Determine q(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {m: 7, a: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 36552444 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d. Let y(u) = 295436*u. Give r(y(h)).\nAnswer: 590872*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6827367cm to meters.\nAnswer: 0.006827367","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -3) + (-232 - 264 - -337).\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, -2, -21, -58, -119, -210, -337, -506?\nAnswer: -723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 50150000 to the nearest 1000000.\nAnswer: 50000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -202110201112 (base 3) in base 6?\nAnswer: -12345235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 182 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 94\/45 and -15\/359.\nAnswer: 16155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of 0 + 0*q**5 + 0*q**2 + q**3 + 0*q**4 - 2\/15*q**6 + 15*q. Find the second derivative of w(i) wrt i.\nAnswer: -48*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 5*p**3 - 16*p**2 - 4*p + 15. Let u be b(4). Let i be 2\/(-7) + (585\/u - -6). What is the highest common divisor of i and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 * -18\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6415 divided by 10947?\nAnswer: 6415\/10947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 19aac0 (base 16) in base 10?\nAnswer: 1682112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (5 - 4)) + -4 + 5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 21\/(-15) + 2. Let y = -7 - -7. Suppose 2*q + y*q = 4. Which is smaller: q or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5*i**4 + 2 + 0)*(-1 + 1 - 2*i).\nAnswer: -10*i**5 - 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a + 3*a + 3. Let k = a + 6. Let q be (k\/3)\/((-7)\/21). Sort 0, q, -2\/5 in ascending order.\nAnswer: q, -2\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 13, 12213187 in descending order.\nAnswer: 12213187, 13, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9966 and 594.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-1 - -3 - 7) + -2 + 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 2\/151, 5, 3\/14, -5 in decreasing order.\nAnswer: 11, 5, 3\/14, 2\/151, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1967.212g in nanograms?\nAnswer: 1967212000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5397 = -414*x + 18525 + 17508 for x.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 10 = -2*m + 5*u, -3*m = 4*u - 15. Let s be (-2)\/m - (-4)\/10. Let z = 362 + -361. Solve -5*n + o - 20 = s, -4*n + 5*o + z + 4 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 2*i**2 - 3*i. Let l be k(3). Suppose l*d + 3*d = 57. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-60)*-4)\/((-6)\/105)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2365\/94843?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 7 = -9. Let y(g) = -g**3 + 3*g**2 + 4*g + 3. Let q be y(u). Suppose q*h - 8*h = -675. What is the greatest common divisor of h and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 + -21. Let n be ((30\/p)\/1)\/((-8)\/(-48)). Solve -2*v - 2*v = n for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.962105t to grams.\nAnswer: 962105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 316\/(-395)*(40\/(-12))\/(4\/6). Solve -2*b + c = -2*l, 24*l + 9 = 21*l + 2*b for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 377.13 - 377. What is the nearest to y in 3, -5, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1165, 1210, 1259, 1306, 1345, 1370?\nAnswer: 1375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g. Let y(n) = -17*n. What is y(b(h))?\nAnswer: 34*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 9:46 PM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 20712.\nAnswer: 5\/20712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -262 by -1.\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 9, 22, 39, 60?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + (-31 - -9) - (-12 - 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 + 45 - 24 - 23*z + 5.\nAnswer: -23*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -7, -0.35, 2, -3, -23640?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = 4*p - 32 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43 + -41. Let p(s) = 10*s**2 + 8*s**y - 15*s**2. Let f(d) = -4*d**2. Give f(p(a)).\nAnswer: -36*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -7.3 and -3073745203.\nAnswer: -3073745210.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -16*r + 52. Let d(k) = -21*k + 43. What is -7*a(t) + 8*d(t)?\nAnswer: -56*t - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-11387.\nAnswer: 22774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u + 396 = 10*u. Let n = 95 + u. Let r(d) = -5*d + 1. Let c(h) be the first derivative of -3*h**2 + h + 1. What is n*c(j) + 5*r(j)?\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 2 + 13 = -5*s, 0 = -4*s + 2*z - 30 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4882278, 9764599, 14646920, 19529241, 24411562?\n\"Answer: 4882321*h - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**3 - 4*u**2 + 4*u + 4. Let t(h) = -5*h**3 - 11*h**2 + 11*h + 11. Let c(b) = -b**2 + 3*b + 4. Let o be c(0). What is o*t(v) - 11*m(v)?\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(112)\/sqrt(2))\/sqrt(8))**2.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 17 = 3*s, 3*i = -4*s - 0*i + 24. Let g be (-4)\/(-2) - 0\/(-1). Let p be g + -1 - (-1 - 1). What is the highest common divisor of p and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1089 - -93?\nAnswer: 1160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -30, -556, 3, 2\/5, -0.3, -0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4133970*c**6 + 32469*c**2 - 5*c - 6?\nAnswer: -496076400*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 2*o**2 - o. Let i(y) = 5*y**3 + 6*y**2 + 6*y. Determine -i(k) + 2*s(k).\nAnswer: -3*k**3 - 2*k**2 - 8*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23457698?\nAnswer: 2, 11, 401, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13495 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -920?\nAnswer: -917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, y: 8, z: 4, g: 2}. Give prob of picking 1 z, 1 n, and 2 g.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3790997 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*z = -2*h - 29*z + 13640, -5*h + z = -34100. Round h to the nearest 100.\nAnswer: 6800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 384569040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 39535 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42 - 39. What is the second derivative of -9*j + 9*j**3 - j**3 + 27*j + 2*j**u wrt j?\nAnswer: 60*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l\/(l*l*((l\/(l\/((l**(-4)*l)\/l)))\/l*l*l)\/l*l)*l))\/l)\/(l\/(l*l*l\/l**0)))\/((l**(-1\/4)*l)\/l)**27 assuming l is positive.\nAnswer: l**(23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/4 + 67*h**2\/4 - 359*h + 2480.\nAnswer: -(h - 31)*(h - 20)*(h - 16)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 36814079*i**2 - 36814063*i**2 - 8 - 37 in the form r*i + k*i**2 + m and give m.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*o - o + 2*o)*(3 - 2 + 1) - o + 2 - 2 - 11*o + 8*o - 4 + 2*o in the form l + i*o and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -296 - -383. Let r = 83 - o. Let b(f) = -6*f + 4. What is b(r)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -118, -109, -88, -49, 14?\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -21839, -21855, -21871?\n\"Answer: -16*f - 21823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/19 and (-249)\/(-205) + -3 + 44\/20.\nAnswer: 779","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 - -39. Find the second derivative of -8*b - 4*b**2 - w*b**2 + 3*b**2 wrt b.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from idlrddddlllilddd. What is prob of sequence drri?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-10) - (-37)\/5. What is the second derivative of q*r**3 + r**3 - 8*r + 0*r - 3*r wrt r?\nAnswer: 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44259228 is divided by 1526180?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x + 151*x**2 - 159*x**2 - 2*x**3 + 4*x + 3*x**3 + x**4 to a*x**3 + c*x + p*x**4 + i + q*x**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1689, -1798, -1859, -1848, -1741, -1514, -1143?\nAnswer: -604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16111 + -16106. Solve -a - 3*k - t = 0, 2*k = -11 + 5 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/88*(-5390)\/(-2450)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 5*w - 5. Let v = 19 - 37. Let q(m) = -3*m**2 + 18*m + 18. Give v*x(t) - 5*q(t).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -23*y**3 + 23*y**2 - 14*y. Let h(r) = -8*r**3 + 8*r**2 - 5*r. Suppose -m = 3*m + 3*d - 30, -2*d = -4. Give m*w(j) - 17*h(j).\nAnswer: -2*j**3 + 2*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 173972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/23677 + 9020941\/47354. Is f greater than or equal to 191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -15*u**2 + 30*u - 131. Determine v(5).\nAnswer: -356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 2395*f - 52 + 0*f**2 + 2*f**2 + 4710*f - 2315*f.\nAnswer: 2*f**2 - 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of -u**5\/10 + u**4\/12 - u**3\/2 - 24*u**2. Let z(x) = 5*x**2 - 2*x + 3. Determine 3*b(j) + 4*z(j).\nAnswer: 2*j**2 - 2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f + 3 - 6*f + f. Let a be (-170)\/45 + (-4)\/18. Let s(i) be the first derivative of i**4\/4 + 2*i**2 - 4*i - 286. Give a*v(l) - 3*s(l).\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3862048 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2297 - 3879. Let i = 12693\/8 + c. Find the common denominator of i and 210\/(-4) - 10\/(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 37*v**2 - 26*v - 7. Let k(z) = -171*z**2 + 121*z + 33. Let x(b) = -8*k(b) - 37*q(b). Suppose 5*f - 1 = -21. Calculate x(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20053\/40 - -2506\/5. Let m = 12 + -13. Which is the closest to 0.1? (a) m (b) g (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 8*m**2 - 7*m - 4. Let i be y(-7). Let w be (i\/(-10))\/((-1)\/5). What is the smallest value in w, -1\/2, 5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 488773121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -677*x**4 - 549*x**3 - 3*x**2 - 214807*x.\nAnswer: -16248*x - 3294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1047606.\nAnswer: 2, 3, 7, 24943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of h**5\/20 + h**3\/2 + 2*h**2 + 3. Let v(j) be the second derivative of z(j). Differentiate v(k) with respect to k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -1460*b - 31. Let r be y(-3). Is (8\/(-32))\/(r\/(-4348) - -1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -294 - -288. Put -7, 4, 1, y in ascending order.\nAnswer: -7, y, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, y: 1, o: 3}. What is prob of picking 1 o and 1 y?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 2*p - 2672, 3*p - 4*i = i + 3998. Calculate the highest common factor of 34 and p.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -10*x - 50. Is 4 a factor of d(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 15*d**2 - 151*d + 20. Determine r(10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 13*y**2 + 19*y - 6 - 12 + 17. Calculate the remainder when c(-3) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gvvgvgvvvgv. Give prob of sequence vv.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/9)*b*b**14)\/(b**(-3)\/b**(-5)) assuming b is positive.\nAnswer: b**(115\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 489766 is divided by 1471.\nAnswer: 1394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21729225 by -35.\nAnswer: 620835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.06615 - -0.01675. Let j = 0.0829 - g. What is the third biggest value in -5, 8\/9, j, -10?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - o - 220 = -6*o, -5*o + 36 = n. What is the smallest common multiple of 6 and n?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 + -6 - 1)*-114. Suppose 687 = 3*j - s. List the prime factors of j.\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 6*c - 30. Solve -w + c = -0*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - -1. Let m = v - 2. Solve -f = -3*p + 3*f - 19, m*p = -f - 9 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*l + 191*l = -304. Put -3, 1, -14, l in increasing order.\nAnswer: -14, l, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1392 - 1391.8. Sort -0.3, -1, -2\/93, b in decreasing order.\nAnswer: b, -2\/93, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n + 6 - 6)*(2 + 0 - 3)*((-3 + 1 + 1)*(-4 + 0 + 2) + 6 + 1 - 11 - 6 + 3 + 7).\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-50)*(-2)\/2*5\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 21157292 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1300 divided by -5?\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3913*v + 5. Let g be c(2). Suppose g + 3617 = 27*n. Which is smaller: 423 or n?\nAnswer: 423","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 70 - 4. Let m be 25802\/y - (-4 + 3). Let r = 1171 + m. Calculate the common denominator of 4\/5 and r.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/7, 4, -586892, 1?\nAnswer: -586892","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 115*c**2*q**3 + 3*c**2*r + 346*c*q**3 - 8672*q**3*r wrt r.\nAnswer: 3*c**2 - 8672*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1398.686 + 1399. Which is smaller: 2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7121461*u*v**3 + 31*u*v**2 - 3*u*v - 16*v**2 + 10 wrt v.\nAnswer: -42728766*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -c98c?\nAnswer: -c990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40 + -38. Let p(x) be the third derivative of -h*x**2 + 1\/120*x**6 + 0 + 0*x**3 + 0*x**4 - 1\/60*x**5 + 0*x. Suppose p(g) = 0. Calculate g.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/3)\/(1\/(-3)). Let g be 1 + c + 2\/1. Suppose g*q - f = 41, -3*q = -f - 14 - 18. What is the remainder when q is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 + (8 - (-2 - (-9 - -7))) + -5?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 6017\/550)*48\/36\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*g + 22. Let f(a) = -2*a**3 + 2*a**2 + 3*a. Let q(u) = -3*u**3 + 4*u**2 + 5*u. Give g*f(w) - 3*q(w).\nAnswer: -w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/226 and 20\/9?\nAnswer: 2034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 23268 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9e - -148?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/4 and 37\/185264804.\nAnswer: 185264804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -5*h + 2*i, -50 + 37 = 5*h + i for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 55987 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11352109 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -102 - -107. Suppose 4*t = d*u + 210020, 8*u - 3*u + 209975 = -5*t. Round u to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3982 and 478926?\nAnswer: 5268186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1548 - -1?\nAnswer: 1549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*g**2 + 2*g**2 - 3*g**2)*(g + 0*g - 3*g) + 2*g - 2*g + 2*g**3)*(-2*g + 0*g + 4*g + (0*g + 5*g - 3*g)*(3 - 2 + 1) + 2 - 2 - g).\nAnswer: 20*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is w in w**3\/5 - 6*w**2\/5 + 11*w\/5 - 6\/5 = 0?\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 16) to base 5\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*p - 138 = 0, -60 + 14 = s + 2*p. Let q = 38 - s. Suppose q - 362 = -c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 6*l + 3. Let x be g(-6). What is the nearest to -0.1 in -3, x, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a millimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4*l = 2, -h = 3*l + l + 6. Let d be (h\/(-6))\/(3\/(-645)). Let x = d + 71. What is the third biggest value in -4, 0.3, x?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - 16*x + 33. Determine b(13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**2 + 6*w**2 - 4*w**2 + (0 + w + 0)*(-4*w + 4*w - w).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m**2 + 377*m + 8800 = 0. Calculate m.\nAnswer: -352, -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 16 = -2*b, 3*b - 3*s - 15 = -0. Suppose 5*q + 2 = -4*d + 31, 3*q - 3*d - 39 = 0. What is the remainder when b is divided by q*-1*(-2)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 65, 61, 55, 47, 37?\n\"Answer: -t**2 - t + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-10)\/(-4))\/(-5)*-8. Let k = 4 + b. Calculate the lowest common multiple of k and 11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h - f - 97, 8*h - 5*f = -10747 + 11120 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3023303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/88*(-2 - (-98)\/21).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 - 17. Suppose k*v - 14 - 6 = 0. Let 118 + v*d**4 - 118 + 4*d**3 - 8*d**2 = 0. Calculate d.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*c + 81*c + 16700 = 0. Let l = -1013 - c. List the prime factors of l.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 + 1 - -3)*1. Suppose 2*l + z - 10 = 0. Let n = l + -7. Sort -3, 1, n.\nAnswer: -3, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -84a - 2d94?\nAnswer: -3800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -410 - -86.71?\nAnswer: -323.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 190 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-1)*i)**40*(i\/(i**(-2\/5)\/i))\/(i\/(i\/i**(-5)))*((i**(-5\/2)\/i*i)\/(i**(-6)\/i*i))\/(i*i\/(i\/i**(2\/7))*i)**7 assuming i is positive.\nAnswer: i**(349\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4688.\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1043969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 b when four letters picked without replacement from {f: 11, b: 3, r: 1}?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 7*k**2 + 15*k - 16. Let v be f(-9). What is the first derivative of -4*i - 6 - v*i**3 + 4*i wrt i?\nAnswer: -33*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8648 and 468073.\nAnswer: 3744584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 7:40 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - v = u + 11, 2*v = -10. Let y = u + -1. Let g be (-1)\/6 + (-2)\/y. Which is the closest to 0? (a) g (b) 3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -4. Let i = -550 + 813. Let s = 263.4 - i. Which is the second smallest value? (a) w (b) s (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148361217.\nAnswer: 3, 257, 337, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 s when four letters picked without replacement from zzrsrzrrzszzrrzzs.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 141444034 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -2 - 6 - -1 - 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q, 1 k, and 1 n when four letters picked without replacement from kkkopkqkcqkpqoocnk.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35442, 70936, 106430, 141924, 177418?\nAnswer: 212912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188224339?\nAnswer: 188224339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -61226 (base 9) to base 16\nAnswer: -9d59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 289963 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 10:23 PM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 57044, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of l**8\/896 + l**7\/280 - l**6\/320 - l**5\/80 + 14*l**2. Find k such that x(k) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -3\/16 (b) 4.2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 8*v**2 - 23*v + 18. Let j be u(-10). Suppose 13*q + j = 25*q. Solve -t - q = -8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 4*m**2 - 4*m + 3. Let f be j(2). Suppose -p = -f*p + 4. Suppose -5*x = -p*x. Solve x = 5*y - 4*n + 21, 2*y + 21 - 6 = -5*n for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1596? (a) 2 (b) 22 (c) 1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*q**2 - 5*q**3 - 87*q**2 + 147*q**2.\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -3*v**5\/20 + 3*v**2. Let l(i) = i**2. Give u(l(y)).\nAnswer: -9*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 1095*b**2 - 361*b**2 - 13*b**3 + 8*b - 372*b**2 - 1 + 2*b**4 - 360*b**2 in the form n*b**4 + a*b**3 + i*b + k*b**2 + z and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90 divided by 3.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 4*s - 20, 2*o - 22 + 0 = s. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 8, -4, -3417, 2\/7?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from jjjjjjjjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4392.059 weeks in minutes?\nAnswer: 44271954.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of 19*y**3\/6 + 45*y**2 - 2*y - 1. Let d be j(-5). Let c(i) = 9*i + 43. Determine c(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24544 (base 11) to base 7\nAnswer: -204540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16049030 or 16049029?\nAnswer: 16049029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 3*q**2 + 2*q + 1. Let k be s(-3). Let v(p) = -p**2 - 7*p - 7. Let l be v(k). Solve 0 = 2*t - l*a - 2*a - 8, -t - 3 = a for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 133 + -126.3. Round m to 1 decimal place.\nAnswer: 6.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a + 3*a**4 + 4*a + (-3*a**4 - 11*a**4 + 4*a**4)*(7 - 2 - 13) - 4*a**4 + 4*a**4 + a**4.\nAnswer: 84*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**3 - 22*l**2 - 26*l - 76. What is m(-10)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/9 + 20*t**2\/9 + 8*t\/3 - 16.\nAnswer: 2*(t - 2)*(t + 6)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11442604 (base 7) to base 14.\nAnswer: 1c7504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 3*w + w)*(w - 3*w + 4*w).\nAnswer: 8*w**2 - 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155*z = 292*z - 164*z + 216. Solve -4*v - 4*j + z = 0, -v - j = -2*j + 2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/17 + 3249344*s**2\/17 + 1319802298906*s\/17 + 18476595318748\/17.\nAnswer: 2*(s + 14)*(s + 812329)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b*b\/(b\/b**(-5\/7))*b\/((b\/(b\/(b*b\/(b\/b**30))))\/b) assuming b is positive.\nAnswer: b**(-194\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/((-99)\/682)*4*5\/((-160)\/(-16))?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -270 - -429. Find the second derivative of -x*j - 13*j**4 - 23*j**4 - 5*j**5 + 49*j - 10*j**4 + 25*j**4 wrt j.\nAnswer: -100*j**3 - 252*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*t + 26*t + 24960 = 0. Suppose 0 = 2*q - 2*i + i - 2482, -4*q + t = 5*i. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**2 - 4*s + 3. Let q = 3 + -9. Let v(g) = -g**2 + g - 1. Let m(h) = q*v(h) - 2*f(h). What is the second derivative of m(i) wrt i?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 42\/(-4) + 1375\/125. Find d such that 3\/2*d**4 + d**3 - d**2 + 1\/2*d**5 - s - 3\/2*d = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1141 + -1139. Let l = -0.14 - 5.86. What is the smallest value in l, -5, z?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 4:07 AM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 494 and 1122026.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 13) to base 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - o - 7 = 0, -5*o + 12 = -k - 2*o. Find x, given that -8*x + 3 - 4*x**4 + 2 - 1 + 8*x**k = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(90\/(-207)))\/(16\/(-16))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -94135*f**4 + 35707*f wrt f.\nAnswer: -1129620*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 - 2*k**2 - 1 + 2*k**2 + k. Let f be 9\/(-7) + 2 + (-2)\/(-7). Let s = 2 - f. Let d(o) = -o + 2. Calculate s*d(z) + y(z).\nAnswer: z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 630667?\nAnswer: 19, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26*2771552.\nAnswer: 72060352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6, w: 4, o: 10}. Give prob of picking 2 y and 2 o.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30925.\nAnswer: 5, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14884678 or 14884682?\nAnswer: 14884678","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 4*j - 4*j - 2565*j**3 + 2557*j**3 to the form w*j**2 + d + v*j + u*j**3 and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1151778 a multiple of 533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-279 + 301)*(3\/(-2) + 2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*p**2 - 4*p**2 + 0*p**2)*(0 + 0 + 2) - 9*p**2 - 2*p + 32 - 32 to the form l + u*p + h*p**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1, -4, -13, -34, -73, -136?\n\"Answer: -p**3 + 3*p**2 - 5*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 35644 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -390956*-0.1\nAnswer: 39095.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 366274 + -366198.0077. Let v = -76 + o. What is v rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -5*t + 5*g, 5*t - 6*g - 35 = -3*g. Suppose z = 2, -t*h - z = -3*z + 8. Does 20 divide 95\/((3 - 1) + h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 64?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 p when three letters picked without replacement from {p: 11, u: 2}.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8*((-76)\/16 + 5). Suppose 8 - 3 = a*i - s, 5 = s. Sort -2, i, -3 in decreasing order.\nAnswer: i, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/87 - -56\/87. Let i = 52.798 + -53.798. Which is the closest to m? (a) i (b) 0.3 (c) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*v**3 - v**3 + 28*v**3 - 10*v**3.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 98*u**4 - 11*u**3 - 191*u**2 + 4563882*u.\nAnswer: 1176*u**2 - 66*u - 382","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*o + 20*o + 16024. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5, 1\/10, 15, 13?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 4:38 AM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69348 is divided by 122.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 734 is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/7704 and -191\/1530.\nAnswer: 654840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 2.01. Let n = t - 3.99. Let x = 37 + -37. What is the closest to -0.1 in x, -3, n?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -972138895 divided by -2641?\nAnswer: 368095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -20*z**2 + 3. Let m(k) = -16*k**2 + 36*k**2 - 27*k**2 + 1. Give 4*f(v) - 11*m(v).\nAnswer: -3*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-22)*(-552)\/276?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253390 is divided by 84460.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 242 and 3014.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + (-2)\/(0 + 1). What is the tens digit of (-128)\/(-4)*q\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22841.4848 rounded to the nearest ten?\nAnswer: 22840","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(116\/(-16) + (-7)\/(-28))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 971553973.\nAnswer: 13, 439, 170239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**3 + 2*s**3 - 4*s**3 + (3*s + 2*s**2 - 3*s)*(3*s + s - 3*s) + 15 - 5*s**3 - 15.\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n**2 + 0*n**2 - 7 + 2*n**3 + 5 + (-2*n**2 + 4*n**2 - n**2)*(-n + 4*n - n) in the form d + g*n**2 + p*n**3 + f*n and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 219653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3348861.\nAnswer: 3, 67, 16661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(-5 - -8) + (81 - -2). Suppose 0*g = -g + 50. What is the highest common divisor of g and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 5:05 PM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/(-120) + 5055\/50. Let x = 145 + -76. Let t = v - x. Is t a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*b - 74 - 106 = 0 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-94 - 2*b + 176 - 270)*((-4 + 1 + 4)*(1 - 4 + 5) - 1 + 1 + 1 - 1 + 1 + 3).\nAnswer: -12*b - 1128","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*c + 50*c - 26*c - 914*c**2 + 11*c - 2*c**2 - 11*c + (-2*c + 5 - 5)*(-c - 1 + 1) - c**2 + 0*c + 0*c as x*c + w*c**2 + h and give w.\nAnswer: -915","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 5*f - 19214, -5*s + 2*f - 48001 = -2*f. What is the tens digit of s\/(-28) + 3\/12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8741 (base 15) to base 6\nAnswer: 340324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3*t + 3)*(-2 + 5 + 0)*(2*t - 2*t + 3*t)*(-1 - 3 + 6).\nAnswer: 54*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o. Let d(b) be the first derivative of -5*b**2\/2 - b - 370. Give -d(w) - 2*z(w).\nAnswer: 7*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 3:49 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 387 = 90*z + 129 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -165528 by 627.\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5211 * 432\nAnswer: -2251152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 354110038?\nAnswer: 2, 83, 263, 8111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 8. Suppose j = 5*r - 13. Solve -g + 5 = r for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 7:18 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**4 - 4*h**3 - 4*h**2 + 4*h + 2. Let g(o) = o**3 + o**2 - o - 1. Let c(d) = 2*g(d) + v(d). Suppose c(q) = 0. What is q?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -364608, -364773, -364938, -365103, -365268?\n\"Answer: -165*j - 364443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3 - 2*d**3 - d**3 + d**2 + 4*d**3. Calculate the remainder when 10 is divided by x(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*y**4 + 6*y**4 + 17*y + 167 + 25*y + 3*y**4 - 13*y**4 wrt y?\nAnswer: -24*y**3 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 22 = 2*r, 18 = r - 5*a + 4*a. Suppose -2*u - 5*x = 3*u - 310, -5*u + 5*x = -410. What is the highest common divisor of u and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -20\/5413?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*c**3*x**5 - 2*c**3*x**3 + 204*c**3*x**2 wrt x.\nAnswer: -660*c**3*x**2 - 12*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.5, 45813, 0.6, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*w**5 + 94*w**2 - 94*w**2 + (1 - 1 - 2*w**4)*(w - 2*w - w) + w**5 - w**2 + 2*w**4 - w**4 + 0*w**5.\nAnswer: 20*w**5 + w**4 - w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4910306805 to four decimal places.\nAnswer: 0.491","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -1. Let q(x) = -3*x + 2*x + 3*x**2 + 4 + x. Let t(w) = 5*o(w) + q(w). Differentiate t(n) with respect to n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13472, 11814, 9060, 5216, 288, -5718, -12796, -20940?\nAnswer: -30144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7703555 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3*d**2 + 2*d - 1. Let x(n) be the third derivative of n**5\/20 + n**4\/8 - n**3\/6 + 174*n**2. Determine 3*g(y) - 2*x(y).\nAnswer: 3*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 248727 (base 12) in base 6?\nAnswer: 20432451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9525 + 5475. What is j rounded to the nearest one thousand?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.053 - -0.086. Let u = v + 1.967. What is the nearest to u in -0.1, 0.05, 0?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1105 - -1104.9101. Let j = 29.09 + -29. Let z = j + u. Round z to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-855)\/57)\/(6\/(-2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36\/47 - -346\/329. Let d be -1 + ((-27)\/21 - -2). Let b = -2.97 + -0.03. What is the second smallest value in i, d, b?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 1:22 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 7260.4 to the nearest ten.\nAnswer: 7260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 3*x + 42, -2*o + 5*o + x - 74 = 0. What is the greatest common divisor of o and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.704 + -0.75. Let q = -1.046 - c. What is the nearest to 0.6 in q, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 66530, 66552, 66574, 66596, 66618?\n\"Answer: 22*a + 66508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**(2\/7))*s)**(2\/3))**(-5\/7) assuming s is positive.\nAnswer: s**(-50\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**5\/5 - 494*c**4\/5 + 32308*c**3\/5 - 635356*c**2\/5 - 6462*c + 127170 = 0.\nAnswer: -1, 1, 45, 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 4. Suppose 2*j = j + k. Which is the closest to 1? (a) 2\/5 (b) j (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1475*i**3 + i**2 + 47*i?\nAnswer: -8850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, h: 3, b: 3, g: 2, u: 5}. What is prob of sequence bub?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -r + 0 - r**2 + 0*r**3 - 1\/4*r**4. Find the first derivative of g(p) wrt p.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 624.\nAnswer: -1\/208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*v - 32*v + 6*m = 44, 2*v = -2*m - 2 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((1\/(-15))\/(3\/(-18)))\/((-111)\/(-740)). Factor 2\/3*o**5 - 8\/3*o**2 + 4*o**3 + 2\/3*o + 0 - n*o**4.\nAnswer: 2*o*(o - 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-2\/3)*j*(j*j\/j**(1\/5))\/j*j*j**1*j*j*j*j*j\/j**(1\/7))**(15\/2) assuming j is positive.\nAnswer: j**(472\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t**(-1\/3)\/t)))**(5\/14)*(t**(-2\/5)\/t)**(-3\/7) assuming t is positive.\nAnswer: t**(13\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 3 (b) -43 (c) -1 (d) -4 (e) 38 (f) 1\/2 (g) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-89)\/178*(-4)\/(-547))\/((-2)\/(-4)). Suppose 30 = -5*y - 8*h + 3*h, -2*y + h = -3. Is u <= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/1)\/((-1)\/(-4)). Let t(f) = 4 + 1 - 2*f - j. Let w be t(1). Which is bigger: -3\/2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 8221.556 weeks?\nAnswer: 4972397068.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -105*k - 6174. Let q be s(-60). What is the greatest common factor of q and 5838?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4010 (base 6) to base 12.\nAnswer: -606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6898834458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -225, -561, 116 in increasing order.\nAnswer: -561, -225, -5, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00065405969 rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 3*l + 156 = 127, -2*f - 5*l + 5 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p\/(p*p**(3\/14)))\/p))\/((p**(-3\/7)\/p)\/p))**(-38) assuming p is positive.\nAnswer: p**(-1235\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.088 + -4.953. Let q = -0.725 + c. What is q rounded to one dp?\nAnswer: -4.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14052 (base 6) to base 12.\nAnswer: 1328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 9*a + 22. Suppose -3 = 3*y, 5 = -5*w - 3*y + 2. Suppose -a*b = -w*b - 2. Put -5, b, 5 in ascending order.\nAnswer: -5, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10642, -21275, -31908, -42541, -53174, -63807?\nAnswer: -74440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/12 - 0 - (-45)\/(-336)*4. Suppose -p - 9 = 3*o, -p - 15 = -0*p + 5*o. What is the closest to p in -3, u, -6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1022908 a multiple of 741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 166865 to the nearest 1000.\nAnswer: 167000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-7)\/(-28))\/(2\/8). Is (3 - 4)*(-163)\/n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -1, 3\/2, 1.9?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p**5 - 32*p**4 - 76*p**3 + 392*p**2 - 288*p = 0. Calculate p.\nAnswer: -4, 0, 1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1898 is divided by 100?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 42 = -10*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -598101, -1196347, -1794593?\nAnswer: -2392839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 5*m + 5*n + 51, -2*m - 3*n = 46. What is the nearest to 0 in m, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(306*(-13)\/(-702)*(-7 - -4)).\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 3*k + 2*k**2)*(497*k**3 - 627*k**2 + 627*k**2) + k - 2*k**5 - k.\nAnswer: 992*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -5*u**4 + 21295*u**3 - 42575*u**2 + 21285*u = 0?\nAnswer: 0, 1, 4257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 6*k**2 - 2 - 2*k**3 - 2*k**2 + k - 2 + 0*k. Let g be x(3). Let r be (6 - g) + (0 - -3). Solve -5*q + 14 = -s - 2*s, 4*s = -5*q + r for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xqqlstp. What is prob of picking 1 x, 1 l, and 1 q?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -81*q**6 + 2*q + 17*q**2 + 11*q**2 + 7*q - 41*q**2 + 15*q**2 wrt q?\nAnswer: -9720*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c + 49. Let r be h(-24). Let o be (0 - -1) + (r - -38). Let j = o + -40. Solve j = -x - 3 - 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2*(-183)\/6)\/(-1). Let x = d + -135. What is x rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1717 a factor of 186488521?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -42335 + 5?\nAnswer: -42330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(21) - sqrt(21))\/sqrt(3) + 1.\nAnswer: -2*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1252 (b) -2\/15 (c) -1968\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5912 - 2525 = -614*d - 7665 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 11:24 AM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -50*r + 91*r + 4346. Which is the fourth smallest value? (a) 13 (b) r (c) 0.1 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2 - 250*u + 15625.\nAnswer: (u - 125)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 10:02 PM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 114*d**2 + 469*d - 357. Calculate z(-118).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -336 = -4*a + 3*f, -3*f - 579 + 159 = -5*a. Is 12 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -203, -394, -587, -782, -979, -1178, -1379?\nAnswer: -1582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 3)\/((-6)\/12). Differentiate -4*s - s**4 - s**2 + 172 - 241 + s**r with respect to s.\nAnswer: -4*s**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-14*(-6)\/(-84))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + z - 30 = 0, z + 4*z - 45 = -4*k. Let c be 8\/k - (-4)\/10. Suppose -2*s + 5*u = -s, 2*s + 8 = c*u. Sort 3, s, -1 in ascending order.\nAnswer: s, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100 and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + x = -4. Let c be (-2)\/(x\/1 + 0). Let z(h) be the first derivative of -h**3 + h**2 + h - 51. Determine z(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 478196316 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -265638 divided by -11\nAnswer: 265638\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3\/2*r**2 - 27\/2*r + 15 = 0 for r.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 9) to base 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -42?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 412, 392, 338, 250?\n\"Answer: -17*n**2 + 31*n + 398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 741, 1149, 1555, 1959?\nAnswer: 2361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + v**2 + 60*v + 156. Determine d(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/27918 and 49\/25380.\nAnswer: 279180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 6*v + 17. Let s(r) = -r. Calculate h(t) + 5*s(t).\nAnswer: t + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*k + 753 - 39 - 10*k + 29*k as d + i*k and give d.\nAnswer: 714","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 350 - 385. Let f(j) = -539*j - 66. Is f(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**4\/7 - 6354596*s**3\/7 + 25418352*s**2\/7.\nAnswer: 2*s**2*(s - 3177294)*(s - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5599 + 680490 = 22*o + 45*o. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86565907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50 and 412310.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/7280 and -59\/910.\nAnswer: 7280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 12. Let l be 24\/16*16\/i. What is the biggest value in l, -1, 2\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 125355\/22 - 5700. Calculate the common denominator of i and (-474)\/8*1\/((-9)\/(-6)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 229664 to the power of 1\/2, to the nearest integer?\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -1174333\nAnswer: 352299.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u**4 + 4*u**4 + 8*u**3 + 1 + 17*u + 37*u - 7*u**3 to the form c*u**4 + t*u**2 + k*u**3 + d*u + f and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4*u + 3*v = 3, 5*u = -2*v + 17. Let l(d) = -5 + 4*d**2 - u*d**2 - 4*d - 1. Calculate l(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 13\/5 of a millennium?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213338*r + a + 5 = -213330*r, 4*r + a = -65 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14026 (base 9) to base 8.\nAnswer: 22435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14952?\nAnswer: 2, 3, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -2, -53, -61 in increasing order.\nAnswer: -61, -53, -15, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 2*p - 1111, -5 = 13*n - 14*n. Let v = 793 - p. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*l*l**(-3)*l*l)\/l)\/l*l)**(5\/8))**(-28) assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 241 = 2*p - 202, 3*g = -5*p + 1185. Suppose -9*m + 473 = 2*h - 10*m, -h = -m - p. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1*4)\/(-12*(-12)\/72)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 7*v + 269. Determine p(-47).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4660*p**2 - 3*p - 3*p + 4692*p**2 + 4*p + 172.\nAnswer: 32*p**2 - 2*p + 172","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 6*k**2 - 8*k. Let x = -49 + 54. Suppose w + 8 = -3*f, 3*w - 3*f = x*w + 1. What is t(w)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.89 (b) 1.1 (c) 0.5 (d) 2\/15 (e) 0 (f) 0.21517\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/19 and -45\/1588039.\nAnswer: 1588039","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*v**2 + 83 - 83 to the form f + q*v**2 + h*v and give q.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -88244 divided by 22061?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/78904 and -97\/22544.\nAnswer: 157808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14733.\nAnswer: 3, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-2\/5))\/(y\/(y\/((y*y*y\/(y**0\/y*y)*y*y*y)\/y)*y*y)))\/((y\/(y*y**4))\/(y**(4\/7)*y))*((y**0\/y)**(-42))**(-9) assuming y is positive.\nAnswer: y**(-13119\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -515 + 535. Suppose -g*d + 57459 - 11279 = 0. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y**3 + 5*y**2 + 5*y. Let v(n) be the third derivative of -1\/30*n**5 - 1\/12*n**4 - 238*n**2 + 0 + 1\/120*n**6 + 0*n + 0*n**3. Give -2*p(w) - 5*v(w).\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -22*r**2 - 2401*r + 23398. Calculate w(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -23 (b) -1\/6 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a millisecond in microseconds?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate n*o**2 - 240*n*o - 407*n - 210*o**2 + 764 with respect to o.\nAnswer: 2*n*o - 240*n - 420*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-7)*q)\/q*((q**(3\/8)\/q*q)\/q)\/q)\/((q\/q**(2\/7))\/(q*q**7))*q**(-6)*q*q**(-2\/3)*q**(-1)\/q**(-6) assuming q is positive.\nAnswer: q**(-337\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 118874, 238512, 358150, 477788, 597426, 717064?\n\"Answer: 119638*i - 764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 2) + -1 + -3 + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 6*j**2 - j - 19. Let a(m) = -m**2 + m + 1. Let h(d) = 2*a(d) + 2*o(d). Find the first derivative of h(t) wrt t.\nAnswer: 20*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -89 + 355. Is 38 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10155006*x**3 - 11*x**2 + 89715512*x wrt x.\nAnswer: -60930036*x - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xy when two letters picked without replacement from {y: 2, x: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1212 (base 5) to base 11\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4433*k = 4430*k - 3*p + 13 + 5, -52*k - 6*p = -220 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((-22 - -31) + (7 - 13) - 29)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 8\/8*(-1)\/17\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2 + -1 + sqrt(700)) - ((sqrt(441)*-1)\/sqrt(7) + -5).\nAnswer: 7 + 23*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*k + 0*k**2 - 2 + 3*k**4 - 86*k**3 + 88*k**3 - k**2 + 0*k**2 to the form w*k**2 + u + h*k**3 + b*k + s*k**4 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -34*u + 190. What is f(8)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/50)\/((-7)\/(385\/33))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001 + 10000000?\nAnswer: 10100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + m + 0*m = 10, -3*w = 5*m - 38. What is the lowest common multiple of 10 and w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**6*t**(1\/3)*(t*t**(-1))**(-16\/9))\/(t**(-3)*t\/(t**(-6\/11)*t))**44 assuming t is positive.\nAnswer: t**(310\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**19*j**(-25))**(3\/5))**(3\/26) assuming j is positive.\nAnswer: j**(-27\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 37331 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -64 - -91. What is the remainder when v is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (16\/48)\/((-2)\/(-30)) - 3. Let y be (-2*(0 - 1) + -1)*r. Solve -y*z = -1 - 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 - -150\/7. What is the closest to -1\/2 in 1, 0.5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + j + 148 = -2*b, -5*j - 324 = 4*b. List the prime factors of (20*4)\/(b\/(-152)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.8064ml to litres.\nAnswer: 0.0058064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59.496 + 31.541. Let d = x - 91. Let t = 1.083 + d. What is t rounded to 1 decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1301333 - -22?\nAnswer: -1301311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3*q + 38. Let m(h) = -h**2 - 15*h - 55. Let s be m(-11). Let w be y(s). Solve -f = -2*p - w + 1, -8 = 2*f + 4*p for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 291 = 5*u - 4*t - 131, 2*t = -6. What is the highest common factor of u and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1133184 a multiple of 416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -52721 or -52726?\nAnswer: -52726","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**4 - 14*i**3 + 12*i**2 = 0.\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1290?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -686, -669, -652, -635, -618, -601?\n\"Answer: 17*p - 703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260435 is divided by 64.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8158 = -83*s - 6595 + 22389 for s.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20338349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/6 of a millennium?\nAnswer: 14000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 - (4 - 0) - -757 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*p = -4*g + 48, 0 = 4*p - 4. Suppose -11 - g = -5*c. Solve -30 = -2*f - c*o, -2*o = -f + 3*o - 20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3508 by -7.\nAnswer: 3508\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*3 - (-1)\/(-1). Let j be ((-6)\/(-18))\/(359\/3231). Put j, -5, -6, v in decreasing order.\nAnswer: j, v, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/24154455 and 4\/7?\nAnswer: 169081185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**3 + 6*o**3 + 0*o**3)*(542 - 236 - 211)*(-3*o + 5*o - o).\nAnswer: 285*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**4 + 0*q**4 + q**4 + (-3*q**2 - 2*q**2 + 3*q**2)*(110*q**2 + 2*q**2 - 9*q**2).\nAnswer: -205*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*h**3 + 1\/5*h**5 + 0*h**2 + 0*h - 3\/5*h**4 + 0.\nAnswer: h**3*(h - 2)*(h - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100447639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*y, -4*y = -w - 5*y. Let k be (-3 + w)\/(-5 - -6). Sort 4, k, 1.\nAnswer: k, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 317*z - 316*z = -5*c - 10, z = -c - 6 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22588493?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 390.2906um?\nAnswer: 0.0000003902906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddwwndgwwvwdgddww. What is prob of sequence dd?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3363614.2 times 5?\nAnswer: 16818071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 - 30. Let c(y) = -7*y**3 + 0*y + 4*y**3 - 5 + 3*y + 2*y**3 - 4*y**2. Give c(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(242) + (sqrt(242) + 1 + sqrt(242)*-1)**2 - sqrt(242).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 357 - 332. What is the highest common divisor of 5 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 480509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, 0.7, 9, -4, -5, -2\/21 in descending order.\nAnswer: 9, 0.7, -2\/21, -0.7, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 10*o**2 + 16*o - 2. Give z(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40.51301472478 - 1.3.\nAnswer: -41.81301472478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -469 + 2122 + 633 + 3858*h wrt h.\nAnswer: 3858","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -2 + 0*w - w**3 + 0*w - w**3. Let s(p) = 2*p**2. Give v(s(a)).\nAnswer: -24*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**0)\/u)\/u)**(-11)\/((u*u**(-3))\/u)**40 assuming u is positive.\nAnswer: u**131","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 11:55 AM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u + 2*l + 17, -210*u + 2*l + 2 = -214*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.269 - 1.731. Sort 0, p, 2 in descending order.\nAnswer: 2, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -79, -4, 0.5, 2\/7 in descending order.\nAnswer: 0.5, 2\/7, -4, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-181600)\/12)\/(3\/(-9)). What is k rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (868 - 857) + (-2 - -17).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -69 + 90. Let m = 84 + r. Let i = 108 - m. Solve 12 = -3*p - i*l, -3*p + l - 5*l = 13 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 2*h + 253. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15866539?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.28 - -7.3. Let i = -7.02 + b. What is the fourth smallest value in 0.2, -1, -8, i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.85, 0, -0.2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 224*p - 240*p + 71 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 931096?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 177383142247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 j when four letters picked without replacement from nnjnjgxngxdnjnondnjn.\nAnswer: 72\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50.263 - 50. Let y = p - -14.037. Let x = y - 14. Which is the biggest value? (a) -3 (b) 2\/13 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -v**6\/180 + 2*v**5\/45 - v**4\/12 + 4*v**2 + 9*v. Let g(q) be the first derivative of r(q). Find y such that g(y) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 14 = -2*a + 5*m, -2*m + 8 = 0. Solve 0 = a*b + 9 + 1 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/10*-6*(-62)\/3. Let l = -37 - n. Which is the second smallest value? (a) 1 (b) -0.4 (c) 1\/4 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 5*f = 2565, 3*s - 6*s + f = -1543. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -6*(1 + (-1 + sqrt(720)*-1 - (2 + sqrt(720)*1 + sqrt(720))) + 4))**2.\nAnswer: -5616*sqrt(5) + 233449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8345020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -17*t + 1. Let m be g(-3). Calculate the remainder when (-2)\/13 - ((-4480)\/m + -3) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.02 + -8. Let p = -2.02 + d. Which is the closest to -0.2? (a) 2\/7 (b) p (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, o: 5, e: 6}. What is prob of picking 4 v?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8363006?\nAnswer: 2, 4181503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/13)*n)\/n**(-18))**(2\/65) assuming n is positive.\nAnswer: n**(496\/845)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2823047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/2)\/((-2)\/(-12)). Suppose 8*s = 6*s + 8. Find the third derivative of g*y - y**2 - 3*y - y**3 + s*y**2 wrt y.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 21599536 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31098 + 31098.03. What is the third smallest value in n, -16, -0.5, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -81488*l*r - 254702*l + r**2 wrt r.\nAnswer: -81488*l + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11211619?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14 - 17 - (2 + -33 - 2). Is 770367\/r + 3\/30 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*(((((z\/(z**11\/z*z)*z)\/z)\/z)\/z)\/z*z)\/z*z)**35\/(z\/z**0*(z\/(z**(3\/28)*z))\/z) assuming z is positive.\nAnswer: z**(-9797\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35285?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*c**3*f*m**3 + c**3*f*m**2 + 10*c**3*f - 12*f*m**3 - 962*f*m**2 - 100*m**3 wrt m.\nAnswer: 30*c**3*f - 72*f - 600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -66411252, -66411245, -66411238, -66411231, -66411224, -66411217?\n\"Answer: 7*i - 66411259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z**2 + 4*z**2 - 3*z**2)*(-4*z - 2*z + 2*z**2 - 3 + 3*z).\nAnswer: -6*z**4 + 9*z**3 + 9*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -30c05b + -4?\nAnswer: -30c062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = l + 15. Suppose -3*w - l*w + 240 = 0. Suppose -w = 4*q + 4*q. Put -2, 2, -3, q in descending order.\nAnswer: 2, -2, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -60 - -18. Let m = -31 - a. What is the remainder when 2\/7 - 222\/(-7) is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5969\/7 equal to 853?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 521\/5 + -105. Let q be (-2)\/(-60) + 3\/(-15). Which is the closest to 1? (a) -2\/9 (b) v (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -29331*q**2 - 2 + 29331*q**2 - 2*q**3 - 41*q + q**4 as b*q + u + l*q**2 + n*q**3 + z*q**4 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-790*g**3 + 5669*g**3 + 3521*g**3)*(4*g - 4*g + g**2) + g**5 + 2 - 2.\nAnswer: 8401*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 306327 - 306183. Suppose 0 = 4*k - 235 - 245. Calculate the highest common factor of k and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (1 - 1 - (-5 + 3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 682 is divided by 159?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 193*b + 7. Let g(o) = 96*o + 3. Calculate 5*g(k) - 2*q(k).\nAnswer: 94*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 180929798*c**3 - 10175593*c**2 - 7*c wrt c.\nAnswer: 1085578788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(12\/7)*u**(-1\/5)*u\/u**5*u*u\/(u*u\/u**(-1\/8)) assuming u is positive.\nAnswer: u**(-451\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i + 6*i - 3*r - 61 = 5*i, -4*i + 6*r + 20 = 52 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**4 - 15909*a**3 + 15912*a**2.\nAnswer: -3*a**2*(a - 1)*(a + 5304)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-60)*-4)\/((-325)\/(-78) - 4).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(864)\/sqrt(4)).\nAnswer: sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 552569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.34 - -11.66. Let r = -23.9 + 12.1. Let g = r + n. What is the biggest value in g, -1\/5, -2\/11, -2\/17?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(513) + sqrt(57))*2 + 2*sqrt(228))\/((sqrt(36)\/sqrt(2))\/sqrt(6)*-5) + 1)*3.\nAnswer: -36*sqrt(19)\/5 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -4*y - 3*y - 836*y**2 + y**3 + 4 + 830*y**2 - 2*y**3. Let a be n(-4). Solve a*d - 4 = -4*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**2. Let r(k) = 1949656*k. What is h(r(n))?\nAnswer: -7602317036672*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**2 + 311705072*m + 11*m**2 - 311705072*m.\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-63)*(-252)\/216. Let f = 3 + 1. What is the fourth biggest value in -1, f, 1\/5, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18.429 - -0.071. Let q = p + -19. Which is the closest to 0? (a) q (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1893 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/2 + -35 + 6. Let w = -18 - j. What is the third derivative of 11*i**3 - i**2 - w*i**3 - 2*i**2 wrt i?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -14. Let k be 1\/(2*-1)*v. Suppose -5*o = -o - 8. Solve -o*m - m - k = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-375)\/5)\/5*(-6)\/15. What is the greatest common factor of 807 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-40)\/(-35) - (-4)\/70. Factor 3\/5*b - q + 3\/5*b**2.\nAnswer: 3*(b - 1)*(b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -652.3 - -652. Put h, 3, 1.6, -0.2 in decreasing order.\nAnswer: 3, 1.6, -0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 3*z = 34, 5*z + 0*z = 3*h - 30 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 11*c**2 - 2*c + 44. Calculate q(-12).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + -4. Let k = 13 + t. Suppose 4*h - k = 8. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/4 + 9\/36 + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-0.03.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 20 = 17 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.03 + -0.17. Which is the third biggest value? (a) z (b) 0.2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 6*d**2 - 8*d + 3. Let c be x(-4). Suppose 3*a - 7*m - 88 = -2*m, 2*a - 65 = -c*m. Solve -4*b = -6*g + 3*g - 8, 0 = 4*g + 3*b - a for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -75 - -95.7. Let p = s + -21. Which is the third smallest value? (a) p (b) 0.5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 117 = -3*b - 2*q, -2*b = -5*q - 78. Suppose -4*v - 16 = f - 46, 0 = -f - 3*v + 26. What is the remainder when b is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -213 + 43.8. Let d = 169 + s. Which is the third biggest value? (a) 3 (b) d (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -1577 + 4*f + 4*f + 1584. Let c be p(1). Solve 3*q + 4*s = s - 15, -3*s = -3*q - c for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.5 - -6. Sort 17, 3, q in descending order.\nAnswer: 17, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 1684?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 337822 and 106?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.37 + -5.57. Which is the nearest to 0? (a) -2\/5 (b) -12 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*v**4*w - 8*v**4 - 2*v**3*w - 36*v**3 + 2*v**2*w + 188*w - 32 wrt v?\nAnswer: -168*v*w - 192*v - 12*w - 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1\/4, 2, -1, 0.4, -2\/39, -15\/4, -0.242?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/6303 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36800 + 36804. Suppose 22 + 28 = -5*t. Sort t, v, 2, -3.\nAnswer: t, -3, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(5*-1*sqrt(65))\/sqrt(5) - (sqrt(104)\/(sqrt(968)*-2 + sqrt(968)) + -2))**2.\nAnswer: 224*sqrt(13)\/11 + 41252\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1170 = -9*k + 4446. Calculate the greatest common divisor of 52 and k.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - 27 - 5 - -3 - 9) + -3?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 27\/4 of a minute?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 8 = 2*k, n - 2*k - k - 3 = 0. Let x(b) = -b**3 - b**2 - 2*b + 2. Let t be x(n). Calculate the greatest common divisor of 39 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -3*s**2 + 8*s - 2. Let a(p) = -182*p + 180*p + 1 + 1 + 1. Determine -11*a(u) + 4*y(u).\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/289 - -587\/2601. Which is the closest to r? (a) -0.3 (b) 0.1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -597 - -599. Solve -3*d - g*c - 35 = 2*c, 2*d + 5 = c for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyuyyuyyu. What is prob of sequence uuyu?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, x: 1, m: 2, c: 1, q: 1}. What is prob of picking 1 k, 1 m, and 1 x?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l + 0*l - 4*l + (4 - 5 - 1)*(l + 3*l - 2*l) + 2*l - 7*l + 0*l.\nAnswer: -14*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 821?\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-63)\/((1\/3)\/1). Let p = 54 - m. Let y be -1*-18*3\/2. Calculate the highest common factor of p and y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 4*c**3 + 4*c**2 + 13*c - 7. Determine d(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 959 is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 218 + 428*g**4 + 674*g**3 + 228 - 178*g**4 - 248*g**4 + g wrt g.\nAnswer: 24*g**2 + 4044*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 1. Let z be ((-1)\/(-3))\/(4\/s). Is 13\/z*(-4 - -6) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34652362?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**2\/7 - 1451560*x\/7 - 263378304200\/7 = 0. Calculate x.\nAnswer: -362890","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1080 or 1090?\nAnswer: 1090","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -2*m**7\/7 + m**6\/6 - 666*m**5\/5 - 905*m**3 - 449. Find the third derivative of b(k) wrt k.\nAnswer: -240*k**3 + 60*k**2 - 15984*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1019583 - 4019583. Round z to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -804*k**3 - 59*k**2 - k?\nAnswer: -4824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 131691306 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 720, -2\/31, -271 in decreasing order.\nAnswer: 720, 4, -2\/31, -271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + 8\/3)\/(148\/888). Solve q = -3*k - 2*z, 2*k - 21 = -2*z - 27 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p**2 - 51*p - 43. Let n be m(18). What is the greatest common divisor of 3773 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29150123.8 rounded to the nearest 1000?\nAnswer: 29150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*g**3 - 1 + 8*g**3 + 2*g**4 + 13*g**3)*(-2 + 2 - 2) + 2*g**4 - 2 + 2 + (-2*g**4 - 2*g**3 + 2*g**3)*(-3 - 1 + 2) + 0*g + 8*g**4 + 0*g.\nAnswer: 10*g**4 + 2*g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 1 - 3)*((4*x + x - 4*x)*(0 - 1 + 3) + 1 + 5*x - 1) as h + y*x and give y.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 419*a*r + 14856076*a - 51689*r wrt r.\nAnswer: 419*a - 51689","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + 8 + (-23 + 19 - -19)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -67 + 157. Suppose m*k - 88*k = 8. Solve -k*j - 1 - 3 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of -l**5\/60 - 19*l**4\/4 + 438*l**2. Let m(g) = -g. What is t(m(y))?\nAnswer: -y**2 + 114*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**2 + 11438592*x**3 - 4*x**2.\nAnswer: 11438592*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -5*p - 5*s + 130, 0 = -p - 4*s + 35. What is the remainder when 65 is divided by p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(3) + 4*(-1 + sqrt(3)))*1)**2 - (-3 + (sqrt(192) - 1*sqrt(192))**2 + 0).\nAnswer: -160*sqrt(3) + 367","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 5065*a + 5315. Give g(-1).\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 + (8 - 0 - 6) is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**4 + 4*y**2 - 4*y**2 + y**2 + (-5*y**2 + 5*y**2 - y**2)*(y**2 - 4 + 4) + 0*y**4 + 2*y**4 - 4*y**4 - y**4 - 4*y**4 + 6*y**4.\nAnswer: -3*y**4 + y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54650 is divided by 552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 424, -4, -3, 1, -2 in decreasing order.\nAnswer: 424, 1, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, c: 4, b: 1, o: 3, p: 2}. What is prob of sequence bcc?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2184)\/3185)\/(387\/3010)?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 + -3.44967?\nAnswer: -4.24967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12197154?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/23464146 and 127\/30?\nAnswer: 117320730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkk. Give prob of picking 3 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 12 + (-2 - -6) - (17 - 16).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -294 + r - 11*r + 2*r**2 + 5*r + 5*r.\nAnswer: 2*r**2 - 294","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 23 - 9 = 4*m, -2*w - m = -2. Is 14 a factor of 2170\/77 + w + (-27)\/(-33)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-9)\/(-12))\/((-3)\/(-8)). Suppose 3*p + 0*p + 17 = o*c, p = 4*c - 29. What is the remainder when 26 is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1750506 to the nearest integer?\nAnswer: 1323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 346112*i**2\/5 - 2807168*i\/5 + 5691938\/5 = 0.\nAnswer: 1687\/416","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11\/24 - 1\/24. Let s be 3\/(0 - (-7 + 261\/18)). Put -0.01, q, -0.2, s in increasing order.\nAnswer: q, s, -0.2, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-288)\/(-480) + (-13481)\/35. Is q less than or equal to -384?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -255*d**3 + 2*d**2 + d. Let m be t(-1). Suppose 412 = 5*v + 4*y, 3*v - m = -3*y + 5*y. Is v a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/18)*(l*l*l*l**(-7\/3))\/l*(l**(-4\/3)*l)**(-30\/11))**(1\/26) assuming l is positive.\nAnswer: l**(103\/5148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ujjj when four letters picked without replacement from uujujju?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10405 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 248127 and 219.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*p**5\/8 - 7375371*p**4\/8 - 1007334727065*p**3\/4 - 45860816192870889*p**2\/2 + 7643497347032823*p = 0. What is p?\nAnswer: -273162, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -13674771141 plus -69628?\nAnswer: -13674840769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 5*z**2 - 40*z + 147. Let p(m) = -36*m**2 + 279*m - 1029. Let y(v) = 15*a(v) + 2*p(v). Factor y(c).\nAnswer: 3*(c - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1679 and 33580?\nAnswer: 33580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - 23 - 23*f - 17*f - 33*f.\nAnswer: -73*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uvsb when four letters picked without replacement from {b: 1, a: 2, x: 1, v: 1, u: 1, s: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(4\/5))**(-21)\/(j**(-2\/13)*j\/(j\/((j*j**(2\/15)*j*j)\/j*j)*j)*j*j))**(-1\/5) assuming j is positive.\nAnswer: j**(4052\/975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c + 9. Let a be h(0). What is the remainder when 78 is divided by 24\/20*120\/a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 49*a**4 + 413*a**3 - 1326*a**2 + 652*a - 88.\nAnswer: (a - 2)*(a + 11)*(7*a - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 591 + h - 591.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (16\/(-12))\/(4\/(-2802))?\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-4) + (-6321)\/4716. Let n = 220631\/97464 + k. Let j = n + -3\/62. What is the common denominator of 45\/16 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 9, t: 10}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -47. Let w = f + 35.9. Which is the smallest value? (a) -1\/3 (b) -5 (c) 0.3 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -61*h**2 - 250*h + 4. Calculate f(-3).\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20 - 20 + 29 + 4*w**2 - 3*w**2 + 2*w**2 + 3*w**2 - 2*w**2 + w**2 + 3*w**2 + (0 - 1 + 2)*(1 + w**2 - 1).\nAnswer: 9*w**2 - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/91 and (1 - -24)*(-3 - (-2100)\/702)?\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) + 4*1*sqrt(539) + sqrt(539) + ((sqrt(539) + 1)*3 - sqrt(539) - sqrt(539)) + 1 + sqrt(539)*-1*6)**2.\nAnswer: 56*sqrt(11) + 555","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/13*4\/(-12)*-303. Let w = k + -5104\/195. Calculate the common denominator of w and 2\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 14) to base 8\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 0*l = 6. Let d be 52\/l + 4\/6. Let y = 11 - d. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1644 - -2999. Let x = a + -897. Is x a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.33 - -0.03. Let s be 16\/9 + (-2)\/(-9). Suppose 0*g - 5*g = -2*r - 5, s*r = -5*g - 15. Which is the second biggest value? (a) k (b) r (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -12*r**2. Let l(f) be the first derivative of f**6\/360 - 5*f**3 + 26. Let j(s) be the third derivative of l(s). Give j(u(b)).\nAnswer: 144*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*c**2 - 3*c**2 - c**2.\nAnswer: -11*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -t**5\/60 + 9*t**4\/8 - 167*t**3\/6 + 2*t**2 - 387*t + 3. Give n(15).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l**3\/9 - 136*l**2\/9 - 4*l\/9 + 136\/9 = 0.\nAnswer: -1, 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.0281252 centuries?\nAnswer: 2.81252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5520, -1 in ascending order.\nAnswer: -5520, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-196)\/(-1 + 8))\/(-3*5\/60).\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4*t**2 - 8*t + 46. Let j be g(-10). Let x = j + 275. Calculate the least common multiple of x and 127.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 455 + 805 = 0. Let p be 4\/5 - o\/10. Let g be 12\/(120\/290) + 10. What is the greatest common divisor of p and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7\/28)\/((21\/6)\/7). Factor g + 1\/4*u**2 - 3\/4*u.\nAnswer: (u - 2)*(u - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 445000405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000145030391 rounded to 5 dps?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6149*s + 901754 = 151576 for s.\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**17*x*x*x*x*(x\/(x\/((x\/x**15)\/x*x)))\/x)\/((x\/x**29)\/x**7) assuming x is positive.\nAnswer: x**41","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46714, -186856, -420428, -747430?\nAnswer: -1167862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1344)\/1008*12\/376. Let g(h) = 2*h - 4. Let m be g(3). Suppose -7*o + 5 = -m*o. Is i bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-118)\/3)\/((-10)\/15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -265 - -132. Let b = 260 + t. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 7*z**2 - 6*z + 2. Let g be q(-6). Suppose 0 = -4*f - 0*f + 88. Suppose -f = -g*t - 8. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 1:10 AM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 2\/5, 423316 in descending order.\nAnswer: 423316, 2\/5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4849142 divided by -2424571.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1089136 and -150.\nAnswer: 163370400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 + 111 = 25*v. Suppose 0 = -2*n - y + 1856, v*n = 3*n + 3*y + 2793. Does 15 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1104 + 2*o + 2451*o**3 - 1423 - 33 wrt o?\nAnswer: 14706*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from uuuuuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -63\/8*z - 81\/8 + 17\/8*z**2 - 1\/8*z**3.\nAnswer: -(z - 9)**2*(z + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12.9, 2.87, -66\/19 in increasing order.\nAnswer: -12.9, -66\/19, 2.87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 92462142 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 279 (b) -2 (c) 0 (d) 3\/4 (e) -5 (f) 0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1869037 is divided by 373677?\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/12*-2*(-126)\/(-12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 16, 1, 8 in descending order.\nAnswer: 16, 8, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) -5 (c) -2\/19 (d) 102\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/13, 2.9, -2, -3\/2?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4505*t**2 + 8*t. Let l(q) = 1502*q**2 + 3*q. Give 8*l(p) - 3*z(p).\nAnswer: -1499*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = 3*l, -p + 3*l + 28 = 40 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jmm when three letters picked without replacement from {p: 2, m: 4, j: 1, g: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - s - 933 = 1341, 4*s = -2*m + 2274. List the prime factors of m.\nAnswer: 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8609545.\nAnswer: 5, 7, 35141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14977731 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -71, -306, -703, -1268, -2007, -2926, -4031?\n\"Answer: -c**3 - 75*c**2 - 3*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-10))\/(2\/(-170)). Let a = -74 + 116. Let o be (-8)\/(-6) + 2800\/a. Calculate the highest common divisor of o and i.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l**2 + 43*l - 11. Is c(-36) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, u: 6, g: 7}. Give prob of sequence gg.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95526*b**3 + 190956*b**3 - 95575*b**3.\nAnswer: -145*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 5. Let t be 1 + 2 - q - -205. Suppose 3*j + 29 - t = 0. List the prime factors of j.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 + -29. Let w be (-2 + v)*(9 - 0). Let s(y) = -y**2 + 9*y + 6. Calculate the least common multiple of 3 and s(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 4, -5, 2.\nAnswer: -5, -3, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 9053858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - o - 2. Suppose 0*w = w + o. What is the units digit of ((-8)\/(-10))\/(w\/(-5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18129.22 decades to years.\nAnswer: 181292.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1159, -1597, -2035, -2473?\n\"Answer: -438*u - 721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l = 7 - 34. Solve -l = -c - 5 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.902 to 1 decimal place.\nAnswer: 11.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/2))**42)**(-2\/29)\/((l\/l**(2\/9)*l)\/(l*l**(-2))*(l*l\/(l*l**0))**(-48)) assuming l is positive.\nAnswer: l**(12181\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -30469834 smaller than -30469837?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*o - 95 = 220 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-98)\/8*1180\/38822*-188?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 7\/5 (c) -5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191 = -4*h - 187 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1305, 1369, 199, -2199, -5819?\nAnswer: -10655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2014*w**2 - 3363*w. Let x(i) = -4*i**2 + 9*i. Let t(g) = -q(g) - 3*x(g). Find the second derivative of t(m) wrt m.\nAnswer: -4004","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 4*o + 4. Let j(b) be the first derivative of 2*b**3\/3 - 7*b**2\/2 - 7*b - 6. Give 4*j(n) + 7*w(n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2013 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*6*(sqrt(1539) + 2 + 2 + sqrt(1539) + 5)*4)**2 + 3.\nAnswer: 1679616*sqrt(19) + 32332611","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -1578 + 3154 + 3*w**3 + w**2 - 1577. Give z(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 13128, 26271, 39418, 52569, 65724?\n\"Answer: 2*g**2 + 13137*g - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 833.755 rounded to the nearest ten?\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17244659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 164903 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5170815379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 8:18 PM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 6152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*a = 49*a - 3*u - 15, -3*a - 2*u = 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (18\/20)\/(25 + 1071\/(-45)). Which is the closest to -1? (a) i (b) -0.2 (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -77.5 - -50. Let l = 0.37 - -35.63. Let w = l + v. What is w rounded to zero decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.15567 to 3 decimal places.\nAnswer: 0.156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -96, -77, -46, 3, 76?\nAnswer: 179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 - 100*k - 105.\nAnswer: 5*(k - 21)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 22815 divided by 18?\nAnswer: 2535\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2130 - 1063. List the prime factors of n.\nAnswer: 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5774 + 9026. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.2 - 2.2. Let t = 149\/42 - 23\/6. What is the nearest to m in t, -0.3, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 2860097463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3474*s + 2 - 8 + 1143*s + 6 to the form c + u*s and give u.\nAnswer: 4617","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -72, -5, 3, 30 in decreasing order.\nAnswer: 30, 5, 3, -4, -5, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-47408.03.\nAnswer: -14222.409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 780023327?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 0) + -1 + (60 - 56)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -4*l + 1190 - 896, -222 = -3*l - 4*u. What is the closest to -1 in -2, 0.06, l?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 16*h + h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 7:43 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5386620 is divided by 241?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*o = 49, 5*o = -g + 36 + 7. Calculate the remainder when 32 is divided by 10\/(-15) - g\/(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-17)\/136)\/(((-75)\/(-54))\/25))\/((-5)\/(-40))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1883 and 0.01.\nAnswer: -1882.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 2*b - b)*(3 - 1 + 0 + (1 - 1 - 1)*(1 + 0 - 2) + 4 - 4 - 1)*(0 + 2*b + 0).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 126 and 1959986?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1507160 and -7657.\nAnswer: 1499503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213*x = 251*x + 114. Which is the nearest to 2? (a) 837 (b) 0 (c) x (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -398 - -382. Let t(u) = -u**3 - 15*u**2 + 18*u + 13. Give t(v).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 3326 (b) 0.3 (c) 2\/15 (d) 4 (e) -9 (f) 16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2494 by -4.\nAnswer: 1247\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 495388635 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 11, 22, 37, 56, 79?\n\"Answer: 2*j**2 + 5*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -4*t**3 + t**2 + 3*t + 2. What is the tens digit of s(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (96\/(-35) - 3)*6. Let t = 178\/5 + i. Which is smaller: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-140)\/(-7))\/((7735\/260)\/119)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -886 + 878. Let u be 34\/(-42) - ((-275)\/(-35) + r). Let q = -5 + 3. Which is the smallest value? (a) 5 (b) u (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.2 - -3.21. Let m = -1.63 + k. Round m to 1 decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = -26*s + 14 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -96 - -97. Let c be 5\/(p\/(1 - 0)). Suppose c*d + j - 147 = 0, d - 4*d + 87 = j. What are the prime factors of d?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 4*x + 34, -30*x - 33 = -4*z - 27*x. What is the second biggest value in z, -5, 38.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44646.947 rounded to the nearest 100?\nAnswer: -44600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - 6*w**2 - 25*w - 2. Let v be a(-6). Suppose v*j - 141*j - 3647 = 0. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 106*a**2 - 48*a - 68. What is j(-3)?\nAnswer: 1030","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -76 + 75 + 1 - 93*g**2 + 2*g - 2 - g**2 + 2 + (3 - 3 - 2*g)*(-2*g - 2*g + 3*g).\nAnswer: -92*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**2 + 19*p + 1. Determine i(11).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -39. Let o be (-1)\/(2\/(-5) - (-2491)\/6815). Is o at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/25 in 2\/7, -10\/7, -1, -3\/136?\nAnswer: -3\/136","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -3*p + 38, 3*g + 39 + 6 = 5*p. Calculate the remainder when p is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 183 - -224. Let f = -398 + h. Solve -r = -f*r - 24 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -35 and -67\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -28, 425, 878, 1331, 1784?\n\"Answer: 453*w - 481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-3) + (-3)\/(-9). Let x be 3*(14\/(-3))\/w. Suppose 18*m + 23 = -9*m + 4*m. Is x less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -67 by 67.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1196, 1193, 1190?\nAnswer: 1187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1143*x**3 + 570*x**3 + 568*x**3.\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + (-1)\/((-2)\/24). Let a(w) = -w**3 + 8*w**2 - 6*w - 6. Let i be a(7). Suppose -3*t + 5 = -i. Solve 0 = -0*s + t*s - y for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -6*u**3 - 3*u**2 - u + 11. Let z(l) be the second derivative of -l**5\/4 - l**4\/6 - l**3\/6 + 11*l**2\/2 - l - 307. What is -3*j(m) + 4*z(m)?\nAnswer: -2*m**3 + m**2 - m + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 2\/5 (c) 15 (d) 9\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.05449 and 0.01.\nAnswer: -0.0005449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19671102 and 396?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((8\/(-5))\/(-2))\/((-114)\/15)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-180)\/((-211)\/((-282951)\/(-2980))).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/6 - (-240)\/18. Suppose -z = -3*m + 2*i, 4*m - m - 3*i - 15 = 0. Suppose -2*j + 45 = -k, -m = 5*j - k - 121. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-96)*12*(-20)\/(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-9)*0*(13 + -14).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55034.\nAnswer: 2, 7, 3931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12532 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/3)\/(12\/27).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wqv when three letters picked without replacement from {l: 1, w: 3, v: 2, j: 4, q: 2}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 13*y**3 + 2*y**2 + 5*y + 5. Let f(r) = 19*r**3 + 3*r**2 + 7*r + 7. Let n be 3\/((-6)\/10) + 0\/3. Let z(a) = n*f(a) + 7*u(a). Calculate z(-2).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -53\/36377 (b) 0.4 (c) -2 (d) 3\/4 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 80 = -12*w - c, -9*w - 4*c + 43 = -9*w - 5*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 14) to base 8\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -149*r + 5979. Calculate n(40).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 241159033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -4, 0, 1\/4, -103?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 10:48 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 57769344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 24 + 48 = 2*g, -3*g + 106 = p. What are the prime factors of g?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a century in years?\nAnswer: 1075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -218 - 224 - 319 + 214 - 2*w to t + d*w and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-650)\/(-52))\/(-25)*2\/4\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (41 - (-7562)\/(-190))*20\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -80*f**3*z**3 + 53*f**3*z**2 + 2*f*z**3 + 301*f - 3*z**3 wrt f.\nAnswer: -480*f*z**3 + 318*f*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -4. Let m be c*((-2)\/2)\/(-1). Let t(q) = 4*q + q - m*q. Let y(p) = -2*p. Calculate t(y(u)).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) -2 (b) -2\/11 (c) 370\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 12, 0.4, -1675?\nAnswer: -1675","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.446 + 338156\nAnswer: 338155.554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1632)\/192 - (6 - 2)\/(-8)*-1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 25 = -5*a, 0*v + 2*v + 2*a + 10 = 0. Solve 3*o + 2 = w, -4*w + 22 = 2*o - v for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 572*f + t - 1721, 0 = -4*f + 187*t - 184*t - 1 - 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 7783 - 703*z - 7783 - 3*z**2 as d + f*z**2 + g*z and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 45743, 46036, 46525, 47210, 48091, 49168, 50441?\n\"Answer: 98*y**2 - y + 45646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - -2. What is the least common multiple of y and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*v - 13*v = -13*v + 6816040000. What is v rounded to the nearest one million?\nAnswer: 310000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 58590460?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 4\/8097?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-3))\/((-6)\/24). What is the nearest to 0 in z, -1\/2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 19 + 3 - 63*j + 62*j - 1.\nAnswer: -j + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 534\/(-10)*((-4990)\/(-360) + -14). Let w(f) be the first derivative of -121\/4*f - 253\/4*f**2 - 1\/4*f**4 - v*f**3 - 27. Factor w(d).\nAnswer: -(d + 11)**2*(4*d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*109*18*6\/(-24)*1070\/4815.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**3 - j**3 + 13*j**3 - 10*j**3.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 501.\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38342, -153386, -345132, -613580?\nAnswer: -958730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 4 + -2 + -4 + -1 + 16.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 1 = -s, -2 - 6 = 3*s - 4*d. Let j(f) = f**3 + 4*f**2 - 2*f - 5. What is the smallest common multiple of 10 and j(s)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -76, -117, -220, -415, -732, -1201, -1852?\n\"Answer: -5*w**3 - w**2 - 3*w - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 10*b + 16. Let o be k(11). What is the remainder when ((-4)\/(-3) - o\/15)*299 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -510 divided by -5.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + c + c)*(-c**4 - 4*c**4 + 3*c**4).\nAnswer: 2*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5336.961t in milligrams?\nAnswer: 5336961000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -j**7\/3 + 4*j**6\/5 - 3*j**5\/10 - j**4\/3 - 2*j - 1. Let z(v) be the first derivative of p(v). Suppose z(d) = 0. What is d?\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + 10*r - 8. Let o be v(9). Suppose 17 - o = -f. Let m = -13 - f. Solve -2*s - 19 = -m*a + 6, 2*s = -2*a for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3943.5 - -3936.67. Sort -1\/2, -2\/9, d, 4, 0.3 in descending order.\nAnswer: 4, 0.3, -2\/9, -1\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 + -11 - (-29 + -33 + 12)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7324142 (b) 5 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 5. Solve -y = 2*y - 15, 0 = -m*d + 2*y - 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 PM and 2:44 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*a - 56 - 28 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**2 + 15*v - 4. Let f be c(7). Solve f*z = 10 + 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31577129 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8564 and 6388?\nAnswer: 13676708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -309, -617, -925, -1233, -1541?\nAnswer: -1849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 44, -1 in decreasing order.\nAnswer: 44, 6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggjjggjjjgggj. Give prob of sequence gjj.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 28233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f**2 - 3*f. Let i(p) = -44*p**2 + 33*p. Let a(y) = i(y) + 11*j(y). Let r(o) = -33*o + 2. Determine a(r(h)).\nAnswer: -11979*h**2 + 1452*h - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11 + 1706?\nAnswer: 1695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/41, 11, 4 in increasing order.\nAnswer: 1\/41, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -11699506, -11699505, -11699504, -11699503, -11699502, -11699501?\n\"Answer: w - 11699507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 24*d - 108 - 4\/3*d**2 = 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100) + sqrt(1100)*-2*-5)*2)**2*-1.\nAnswer: -532400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26761?\nAnswer: 7, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27519*p = -27464*p + 275 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 5850 = 2*k, -p + 2079 = -5*k + 639. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38 + -25. Let i = -1475 + 3529. Calculate the common denominator of ((-2)\/32)\/(f\/i) and -47.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) -0.057 (c) -0.1 (d) 2 (e) -3437\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-1758)\/(-24))\/((-3)\/(-12))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33748756 minus 1.61?\nAnswer: 33748754.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 892 = -2*g, 5*k - 2230 = 3050*g - 3055*g. Is 444 smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1100101020202 + -2?\nAnswer: 1100101020200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-351)\/(-27) + 67\/(-5) - (-38)\/(-5)) + -49.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -557, -3, 3\/11, -4, -14 in descending order.\nAnswer: 3\/11, -3, -4, -14, -557","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(8 - 117\/18 - -2). Solve -k + 3*v - 11 = -0*k, 0 = 5*k + v + y for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h. Let q be i(-6). Let z(c) = -4 + q*c + 0*c + 2*c**2 - c**2. Suppose 0 = -2*s + 4*s + 10. What is z(s)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 36*h**2 - 28*h + 123. What is the units digit of w(-32)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 38*w**2 - 39*w + 95. Let z be n(-39). Calculate the highest common divisor of 38 and z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = 16*w + 9*w. Suppose -6*y = -5*m - 7*y - 22, -2*y = -m. Suppose -b + 3*t = -24 + 7, -4*t - 26 = -2*b. Put b, m, w in descending order.\nAnswer: b, w, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0752837 + 8981684\nAnswer: 8981684.0752837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -303, -605, -907, -1209, -1511?\n\"Answer: -302*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -34*i. Suppose -2*t + 4*z + 495 = 171, 4*t - 2*z = 654. Let a(s) = 164 - 2*s - t. What is y(a(p))?\nAnswer: 68*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 2 + 2. Suppose -5*n = -3*w - 29, -43 + 104 = -2*w - 5*n. Let g = 21 + w. Put g, -1, y in decreasing order.\nAnswer: g, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, f: 3, y: 1, m: 12, v: 1}. Give prob of picking 1 m, 1 x, and 1 y.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 53307.99951289 + -53308. Round i to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 1340 = 4*t + v, 3*t + 5*v = 1031. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 270617 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -1993*a**2 + 465 - 471 + 1961*a**2 + (-3 + 3 + 2*a)*(-3*a - 1 + 1) as q*a**2 + l*a + u and give q.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -p + 5*c, -2*p + 588 = 3*p - 4*c. Suppose 5*l + l - p = 0. Calculate the greatest common factor of l and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*o + 20*o - 1326 = -3*j, 0 = 8*o + 5*j - 10741. What is the greatest common divisor of 9 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/1716 and ((-4)\/(-18))\/(-1)*(11 + 10 - 8).\nAnswer: 5148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 252.15 + -18463.7.\nAnswer: -18211.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 120.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 89531 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: Let m(p) be the second derivative of 20*p**3\/3 + 8*p**2 - 3*p. Let u(x) = 13*x + 5. Let d(f) = -5*m(f) + 16*u(f). Let j(r) = 3*r**2. Determine j(d(k)).\nAnswer: 192*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 5 - 6. Suppose 13 + g = 7*h. What is the common denominator of 57\/16 and (-391)\/187 - h*-2?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1305\/2088 - (-2 + 0)\/(-16))*88. What is the highest common divisor of v and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*d + 756823 = 750505 for d.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1497, -6000, -13523, -24066, -37629, -54212?\nAnswer: -73815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -77*y**2. Suppose 4*h - h - 22 = -5*b, 5*b = 5*h + 30. Let z(n) = -9*n**2. Suppose 21716 = 18*s + 22472. Give b*q(d) + s*z(d).\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1663380 is divided by 18900.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (155\/(-62))\/(4*7\/(-280))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -56 not equal to -58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (2 + -3) - (-65 - -58)) + 8?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - w. Let j be 1 + 5\/((-15)\/6). Let d be m(j). Suppose n + 3*s - 118 = 0, -2*n - 4*s + 106 + 124 = d. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 0*g - 9*g**2 + 0*g. Let s(a) = -a**2 - 21*a + 235. Let f be s(-28). Let c(d) = -105*d + 38*d + f*d + 29*d. Give z(c(l)).\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tyrlrry. What is prob of sequence rr?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-8))\/(9\/(-24)). Let r be (1\/(-1))\/(s\/(-8)*-2). Does 10 divide (-3)\/(-12) - (r - (-333)\/(-12))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -2 + (-11 - 13) + 10 - -2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -8*j**2\/3 + 118*j\/3 + 10 = 0.\nAnswer: -1\/4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -463*t + 472*t = -54 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**3 + 3699*a**2 + 2*a**4 + 0*a**3 + 2 - 3689*a**2 + 8*a + 0*a**4 as b*a**4 + l*a**2 + i*a + c*a**3 + w and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*x**3\/11 - 29*x**2\/11 + 4*x\/11 = 0. What is x?\nAnswer: 0, 1\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 268 = -3*g, v + 4*v - 260 = -3*g. Let i = -60 + g. Let r be (-8)\/i - 6\/45. What is the third smallest value in -1, r, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 32*w**2 + 2. Let s(c) = -3507*c + 228. What is s(t(m))?\nAnswer: -112224*m**2 - 6786","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 10011001100000000001 (base 2) to base 5\nAnswer: 130104422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(156)\/(sqrt(12)*-4) - (sqrt(13) - -6*(0 + sqrt(13)))).\nAnswer: -29*sqrt(13)\/4 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 11522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + -2)**2*1 + 3 + sqrt(7)*-2 + -4 + 3*sqrt(7) + 0 + 2.\nAnswer: -3*sqrt(7) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 396 = -15*s + 26*s. Calculate the remainder when 193 is divided by (-4)\/((-6)\/(-20) - s\/72).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1534*b - 25 = 1529*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = n. Suppose 3*t + n*h = -h + 942, 5*t + 4*h - 1570 = 0. Let y = -49 + t. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*u + o, -7*u = -6*u + 4*o + 18. Solve -3*z + u*z - 6 = -5*b, -2*b + 7 = -5*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -781305 = -139*n + 543782. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1650700 rounded to the nearest 10000?\nAnswer: -1650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-36)\/30*(-32)\/(-6). Let j = o + 136\/15. Is -1 at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7139 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 10*u - 21. Let w be x(6). Let d = w - -10. List the prime factors of d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -25, -0.5 in descending order.\nAnswer: 2, -0.5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*n - 48 - 184 = -62 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 19*s**2 + 5*s - 176. Calculate u(-18).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 64 - 65. Let p = 29.6 - 30. What is the closest to 0.2 in s, p, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -16*s - 22. Let v be z(7). What is the common denominator of 3 + 5\/320*v and 83\/36?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 838 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 477 and 1749.\nAnswer: 5247","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/(336\/(-32) - 18\/(-2)). Let d(v) = v**2 - 4*v + 34. Calculate d(g).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 114719 + -344156\/3. Let k(o) = 93*o**2 + 1. Let g be k(-1). Which is the third smallest value? (a) l (b) g (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/35 + (-103)\/(-7). Find the first derivative of -15*i - i**2 + c*i + 4 wrt i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-1)\/8)\/(26\/117)?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**4)\/s)\/s**(-1\/4)*s**(-1\/10)\/s*(s**(-4\/9)*s)\/s*s assuming s is positive.\nAnswer: s**(-773\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 490 + -490.00031. Round b to 5 decimal places.\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1887001 less than -7345?\nAnswer: -1894346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 0.07 (b) 3\/5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 10*u - 1. Let q be v(11). Suppose 5*d - 255 = -5*x, 8*d - q = 3*d. What is the remainder when x is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1178372174 and 5.\nAnswer: 5.1178372174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -238 + 238.02. Let k = 0.52 + -0.5402. Let o = k + f. Round o to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*0.1733095\nAnswer: -0.5199285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -109 or 17?\nAnswer: -109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**5 + 0*c**5 + 2*c**5 + (-4 + 51 + 14)*(6*c**3 - 6*c**3 - 3*c**5) + 2*c**5 + 7*c**5 - 7*c**5.\nAnswer: -180*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3*n + 47. Give x(-21).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 19*n**3 - 7106*n**2 + n + 401. Give s(374).\nAnswer: 775","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -63 (b) -0.3 (c) 5 (d) -0.09 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1648)\/(-336) - 5)\/((-8)\/18) and (-5)\/(-4)*2\/(-22).\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7116, 8650, 10184?\nAnswer: 11718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -3*r + 2*y + 544, -5*r = -4*y - 870. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 2:20 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71697651*b**2 + 143395301*b**2 - 71697649*b**2.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {w: 6, i: 13}.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 - 791 + 37*h + 399 + 390)*(0*h - 4*h + 6*h).\nAnswer: -4*h**3 + 74*h**2 - 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 7:17 AM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0.07, 1\/3, 2, -2\/29, -0.004, 4, 717?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -c. Is (-19)\/(-1) - (c - -1) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-3) - (-26)\/(-21). Let p be ((-4)\/48)\/(63\/(-84)) + (-4)\/12. Let g = -1.3 + 1. Which is the biggest value? (a) g (b) 2 (c) s (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*b**2 + 42*b**2 + b**3 + 2*b - 9*b**2 - 17*b**2.\nAnswer: b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -3) + (-8 - -8) + 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.268 and 260?\nAnswer: 260.268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-286)\/(-10) + 6\/15. Let k = 43 - l. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -138 (b) 12 (c) 1.03 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 8. Suppose -3*v + 4*v + 27 = -q, 131 = -5*q - x*v. Let g = -0.0596 + 0.2596. Which is the second biggest value? (a) 5 (b) g (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 4*m - 22, 0 = o - 0*m - m + 2. Which is greater: o or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -5*o**2 + 57*o - 169. Determine a(8).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -14*5\/10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, d: 1, s: 1, r: 1}. What is prob of sequence rm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 3)*(c**2 - 4*c**2 - 11*c**2) + c**2 + 0*c**2 + 0*c**2 + c**2 - c**2 + c**2.\nAnswer: -40*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(300) + 3*4*sqrt(300))*-3)**2 + (((-4 + (sqrt(300) - sqrt(300)*-4) - sqrt(300))**2 - sqrt(300)) + sqrt(300))*-5 + -3.\nAnswer: 1600*sqrt(3) + 432213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 677276383?\nAnswer: 7, 89, 155303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3162125 is divided by 3088?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18797 by 6.\nAnswer: -18797\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1332 and 666.3.\nAnswer: -887511.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 44 or 282.84?\nAnswer: 282.84","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-4)*2)\/1. What is the tens digit of 111\/5 + w\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -18225, -18225, -18227, -18231, -18237?\n\"Answer: -u**2 + 3*u - 18227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 7*r**2 + 19*r. Let t(j) = -2*j**2 - 5*j. Let y = -36 + 14. Let g(b) = y*t(b) - 6*n(b). Factor g(m).\nAnswer: 2*m*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 5*f + 21*f + 360 = 0 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -2. Let f be z\/((-3)\/6*1). Suppose 5*v - 6 = f*v. Solve v*w - 6 = w + 2*p, -5*p - 17 = -2*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114364 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(126)\/sqrt(6) + sqrt(21))\/(sqrt(21)\/sqrt(192)) - (-6*(sqrt(147) + -1 + 3 + -4))**2.\nAnswer: -5436 + 1008*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 7*t = t. Suppose t = 4*b + 3*u - 6*u - 1780, 3*u + 436 = b. What is the remainder when b is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1765, -3537, -5317, -7111, -8925, -10765, -12637, -14547?\n\"Answer: -q**3 + 2*q**2 - 1771*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + j**2 - 10*j + 286. Determine c(0).\nAnswer: 286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 269 = 244. Let z(l) = -4*l**3 - 5*l**2 - 3*l + 3. Is z(p) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l - 1. Let s be x(1). Suppose 2*f - 5*k = 145, -4*f + 0*k = s*k - 254. Calculate the highest common divisor of f and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -18*z**5\/35 + 10*z**4\/7 + 46*z**3\/21 - 6*z**2\/7 + 309. Suppose n(r) = 0. What is r?\nAnswer: -1, 0, 2\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111100000010000001101110 (base 2) in base 8?\nAnswer: 74020156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-2 + sqrt(6)\/sqrt(2) + 2 + sqrt(75))**2 + 2 + (sqrt(192)*-1 + sqrt(192))**2 + sqrt(3) + 2 + sqrt(9)\/sqrt(3).\nAnswer: 2*sqrt(3) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -405*g - 695 - 8620 for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 2:19 PM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((119\/17)\/(-14))\/((-4)\/(-1680)*7)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -17d7a - -b?\nAnswer: -17d6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a millennium in decades?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.388494 rounded to 0 decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 446945 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/7)\/c**5*(c**(1\/3)\/c*c*c)\/(c*c\/(c\/(c*c\/c**(-2\/19)))))**(1\/5) assuming c is positive.\nAnswer: c**(-2873\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 495527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156)\/(sqrt(72)\/sqrt(294))*-4)**2 - (0 + -4 + sqrt(13) + (sqrt(13) + (-5*sqrt(156))\/sqrt(12))**2)) + 2.\nAnswer: -sqrt(13) + 9990","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 351648 divided by -6?\nAnswer: -58608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 51340909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 3*d + 7*d + 156 = 0, q + 5*d - 8 = 0. Suppose -t = -k + q, 5*k + 4*t - 106 = -11. Calculate the greatest common divisor of k and 184.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-1)\/((-5)\/(-24)))\/(2\/(-10)) is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of 409*r**3\/2 + 9925*r. Let c(q) = 3*q**2. What is c(s(i))?\nAnswer: 4516587*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(500) + 1 + sqrt(500)))**2 + sqrt(500) + sqrt(500) - (sqrt(500) + -1 + sqrt(500) + 4)) + (-1 + sqrt(500) + -5)*4.\nAnswer: 200*sqrt(5) + 7977","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of 1\/6*m**5 + m**2 + 0 + 1\/3*m**3 + 1\/3*m**4 + 0*m + 1\/30*m**6. Factor i(n).\nAnswer: 2*(n + 1)**2*(2*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/((y**(1\/3)\/y)\/y))**(1\/75)\/(y\/(y**8*y)*y*y*y**3))**(15\/2))**(3\/40) assuming y is positive.\nAnswer: y**(683\/400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 + -353?\nAnswer: -362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gns when three letters picked without replacement from {n: 1, g: 2, s: 1, h: 1, l: 4}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -87536 and -437679\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 6:52 AM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 25*m - 48 - 51*m**2 + 53*m + 53*m**2 - 7 - 10*m. Let k be y(-35). Calculate the highest common divisor of k and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3294 = 2*z + 2*a, a - 3 = 1. What are the prime factors of z?\nAnswer: 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**2 - 8*a + a**4 - 3*a**2 + 0 - 2 - a**2 to d + k*a + q*a**3 + j*a**2 + f*a**4 and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1366188, -2732377, -4098566, -5464755?\n\"Answer: -1366189*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 8*y**2 - 1. Let t be m(-8). Let a be 10\/4*(-3 - t). Let f = -4774\/8035 + 312\/1607. Put a, -3, f in decreasing order.\nAnswer: f, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3. Let u(v) = 2*v - 10. Let j be u(4). Let s(m) = -2*m - 2*m**2 + 9*m**3 + 4*m + 11*m**2. Let y(q) = j*s(q) + 4*d(q). Factor y(w).\nAnswer: -2*w*(w + 1)*(7*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 not equal to -1729.2043?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 187.102 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.38 in -1\/2, 1\/56, 8\/3, -2, -2\/3?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of q**5\/60 + 25*q**4\/36 + 143*q**3\/18 + 119*q**2\/6 + 365*q. Factor f(o).\nAnswer: (o + 1)*(o + 7)*(o + 17)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**3 - 2*u**2 - 20*u + 153. Let s be a(5). Calculate the highest common factor of 46 and s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - (-1 - 1) - -37. Let l = 69 - i. What are the prime factors of l?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 5*j**3 + 3*j**2 - 5*j - 1. Let p(q) = 3*q**2 + 4*q**2 - 5*q**2 - 4*q + 4*q**3. Give 2*n(c) - 3*p(c).\nAnswer: -2*c**3 + 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 13270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11863, 23727, 35591, 47455, 59319?\nAnswer: 71183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 169 - 163. Solve -l + b = -j, -2 = -3*l + b - 2*b for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9167 - -9167.4. Which is the fourth biggest value? (a) m (b) 5.68 (c) -5 (d) -4 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -123515508, -123515512, -123515518, -123515526, -123515536, -123515548, -123515562?\nAnswer: -123515578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55983.\nAnswer: 3, 18661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert b0 (base 13) to base 2.\nAnswer: 10001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1)\/(-3))\/(2\/(-6)). Let m(s) = -3*s. Let u be m(w). Let q be 5 - 4 - 2 - -6. Put q, -1, u in increasing order.\nAnswer: -1, u, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.196551 rounded to three decimal places?\nAnswer: 0.197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -163626, -327220, -490814, -654408?\n\"Answer: -163594*j - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*z - 10 = 130*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-45 - (-67 - 71)) + 24 + (1 - 14)\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 4:38 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 119*j**3 - 9*j. Let w(h) = -239*h**3 + 19*h. Give 6*w(f) + 13*x(f).\nAnswer: 113*f**3 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 10 = p. Let f = 0 - p. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-4)\/8)\/((-1)\/53) and ((-136)\/28)\/((-16)\/(-21) - (-240)\/(-2520)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 8758*c + 297670. Calculate u(-34).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fvvf when four letters picked without replacement from {z: 1, v: 2, f: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -3*h - 39. Let u = h + 52. Is 2 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + 2*z - 5. Let j be n(-8). Let m be j\/5 - (1 - 2). Let h = -16 - m. Which is smaller: 3 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214483?\nAnswer: 214483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 3 + 3. What is the units digit of -1*(-1 - u\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 710*w - 715*w - 25. Let j be w - (13\/(-1) + -6). What is the highest common divisor of 476 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100608 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -26608 (base 9) in base 11?\nAnswer: -12575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -3*z + 8 - 20, -z - 4 = -2*c for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -s**5\/270 - s**4\/36 - 2*s**3\/27 - s**2 - 4*s. Let b(l) be the first derivative of j(l). Factor b(o).\nAnswer: -2*(o + 1)*(o + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.3, -8\/217, -224, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 9:19 AM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 43866.94 millennia?\nAnswer: 43866940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + 1)**2*-6.\nAnswer: -462 - 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/(312\/(-20)))\/5.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 0 - 22) + -8 - (3 - (-1 - -2))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -z + 13, -2*z - 5*g - 4 = -3*z. Let q be (-2)\/z + (-137)\/(-9). Suppose 0*b - q = -2*m + b, -5*b - 20 = m. Is m a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/65 and -37\/3874715.\nAnswer: 3874715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -1144.\nAnswer: -1\/286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 22082715 divided by -795\nAnswer: -27777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-104)\/(-39))\/((-14)\/(-3))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 433 (base 5) to base 3.\nAnswer: 11101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u + 2*u - 2*u)*(u**2 - 5 - 21*u + 21*u) to the form y*u**3 + a*u + l + i*u**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -78 + 80. Let x(s) = s**2 - 4*s - 3. Let w be x(5). Let b(q) = q**3 - q + 2. Calculate the least common multiple of b(w) and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 3:20 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -173, 0.4, 24, -1040, 1.\nAnswer: -1040, -173, 0.4, 1, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 14\/6 - (-28)\/21.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.36 - -8.36. What is the closest to o in -0.2, 2, 1\/4, -8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of 12*k**2 + 0*k**5 + 11\/24*k**4 + 1\/70*k**7 + 0*k + 0*k**3 + 0*k**6 + 0. Find the second derivative of f(z) wrt z.\nAnswer: 36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a millennium in centuries?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*v**4 + 2538*v**2 - 2*v**3 - 2 - 5082*v**2 + 2546*v**2 - 13*v to the form t*v**2 + x + k*v**3 + n*v + u*v**4 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1323.0208 - 1323. Round t to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 5:47 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and -56483.\nAnswer: -56479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to 367\/3667?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 401 + -396. Let p = f + -5. Is p greater than or equal to 3\/107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 163 - 157 = 0 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 5*o + o + 3*o - 3*o + 2*o + (-o + 5*o - 2*o)*(1 + 0 + 1) + 2*o - o + 0*o - 2*o - o + 4*o - 2 + 2 - o)*(-7*o + 7*o - 38*o**2).\nAnswer: -152*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*z**2 + 31*z**2 - 16*z**2 - 3*z + 3*z + 188*z**3 + 3.\nAnswer: 188*z**3 - 2*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -72, -130, -210, -312, -436, -582?\nAnswer: -750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -45*i + 606 - 471 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 7*u + 2. Suppose 140 = -2*g - 3*g. Let h = g + 20. What is the least common multiple of t(h) and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 1459\nAnswer: -7295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 69, 351, 827, 1503, 2385, 3479, 4791?\nAnswer: 6327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 69942\/65 + -1076. Which is smaller: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (20\/(-3) + -7 + 4)*-3. What is the units digit of (2\/12 - 225\/54) + c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {p: 1, q: 14}?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/1611 and -67\/28461.\nAnswer: 85383","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45 + 176. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 13*r**2 - r + 10. Let b be m(3). Let t = b + -27. What are the prime factors of t?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**3 + 45*d + 95. Give s(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*l + 33*l - 50 = -37*l - 4*q, -5*l + 3*q - 20 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**0)**(-7\/5)*((s*s**(1\/3)*s)\/s*s)**(-4\/7)*((s**(-2)*s)**(-5\/8))**18 assuming s is positive.\nAnswer: s**(119\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 118.00000126 + -118. Round q to seven dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8659837*g + 16128651 with respect to g.\nAnswer: -8659837","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -2*v + 8, 27*v + m + 12 = 30*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/(-600))\/((-2 - 1)\/(216\/(-48)))?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, b: 4, r: 3, l: 2}. What is prob of sequence rlzb?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32504745*v**2 - 32504745*v**2 - 3*v**3.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -38*x. Let y be k(-2). Suppose 2*s + 2*s - y = 0. Calculate the remainder when s is divided by 4 + -1 + 3 + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0419 - -49032.\nAnswer: 49031.9581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8193 to the power of 1\/2, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.1 + -4.1. Let d be 1\/(1 + -1 - -1). Suppose -d = 2*q - 9. What is the biggest value in q, 3\/8, o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8 (b) 3\/5 (c) 1\/23 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28079885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l\/(l*l*l*l\/(l**3\/l)*l))*l**15)\/(l**(-1\/3))**(-10\/3) assuming l is positive.\nAnswer: l**(161\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 139483508 and 1.\nAnswer: 139483508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -369751 (c) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 11*y - 26. Let o be a(-13). Suppose b - 46 = -3*s + 4, o = -2*b - 3*s + 88. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*((-10)\/4 + 1). Let q = 4786 + -4779. What is the tens digit of (b - q) + (0 - -47)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r - 6393 - 22630 + 1268 = 0. Round r to the nearest ten.\nAnswer: -2140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-48)\/(-64)*104\/6. Is 195\/14 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -160619 or -161099?\nAnswer: -161099","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j + 2. Let p be g(3). Is 1\/p - (-285)\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 150 and 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*r**3 - 3*r**2 + 4 + 14*r**3 + 0*r**2 - 6*r**3.\nAnswer: -(r - 1)*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*r - 85215 = -9*r. Is r a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3327, 6630, 9931, 13230?\n\"Answer: -s**2 + 3306*s + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: 606533.7 * 0.3\nAnswer: 181960.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -24*f**2 - f - 1. Let x(c) = c + 1. Let d(m) = 2*k(m) + 2*x(m). Let i(p) = -p**2. Calculate d(i(v)).\nAnswer: -48*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1599326 (base 10) to base 11\nAnswer: 9a2663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*f**3 + 1 - 11*f**3 + 3*f + f**3 to i*f**3 + y + v*f**2 + z*f and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 7:23 PM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 195969451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -f**4\/20 + 967*f**3\/15 - 117608*f**2\/5 + 696972*f\/5 + 323. Factor t(i).\nAnswer: -(i - 482)**2*(i - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j**3 + j**2 - 20*j + 77. What is the tens digit of f(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13216486 plus -0.3?\nAnswer: -13216486.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 98.43372 micrometers?\nAnswer: 0.09843372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*t - 5*t + 4*t)*(-1 + 0 + 0)*(-2557*t + 3*t**2 + 7789*t**3 - 15583*t**3 + 7790*t**3) in the form n*t + i*t**3 + r*t**2 + z + x*t**4 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2*l - 25 = 7*l, -4*w + 2*l + 10 = 0. Let r be 0 - (-5)\/((-10)\/(-8)). Suppose w*j = 2*j - r. Calculate the least common multiple of 11 and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -352*d - 1056. Let f be x(-3). Let i(l) be the second derivative of 1\/20*l**5 - 11*l + 0*l**2 + f + 5\/12*l**4 + 1\/3*l**3. What is i(-5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/3, 2, 5, 2\/15, -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -44*i**3 + 1016*i**2 + 4660*i - 432.\nAnswer: -4*(i - 27)*(i + 4)*(11*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-10)\/6)\/((-16855)\/510 - -33). What is the highest common divisor of 8857 and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, -0.46, -2.7, -78.\nAnswer: -78, -2.7, -0.46, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r - 8*r + 5*r**2 + 11*r. Let p(i) = -4*i**2. Give u(p(n)).\nAnswer: 80*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - b + 6*b)*(1 - 1 - 3 + (3 - 2 - 3)*(-2 + 0 + 0)).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 61, 82, 97, 106, 109?\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 244944273 by -1.\nAnswer: -244944273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3084, -3045, -3006, -2967, -2928, -2889?\n\"Answer: 39*d - 3123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -191938438 - -2934.\nAnswer: -191935504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(4\/3))**32*(l**16)**(-47) assuming l is positive.\nAnswer: l**(-2128\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**2 - 72*l + 76 = 0 for l.\nAnswer: -19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w. Let o(a) = 880*a. What is o(l(q))?\nAnswer: 880*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**2. Let v(o) = -310*o**2. Give v(q(x)).\nAnswer: -1240*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4662713 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.36? (a) 0.2 (b) 5\/2 (c) 754\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*c + 3*k - 6*k + 58 - 70, -2*c - 3 = -3*k for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11071.55 less than -5?\nAnswer: -11076.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -633888, -633911, -633950, -634005, -634076?\nAnswer: -634163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*q - j = -21*q + 16, q = 10*j + 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9308, -9298, -9274, -9230, -9160?\nAnswer: -9058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -112574 and -0.01.\nAnswer: 1125.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllccllcccuclc. Give prob of picking 1 u, 2 l, and 1 c.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3*w + 40. Let i = 239 - 228. Let v be h(i). Let y(r) = -2*r**3 + 7*r**2 - 7*r + 7. Let u(s) = s**3 - 4*s**2 + 4*s - 4. Give v*u(t) + 4*y(t).\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-0.0979\nAnswer: 0.04895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -1, -4, 294, 4, -771 in descending order.\nAnswer: 294, 4, 1, -1, -4, -5, -771","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-64)\/(-16) - (-22)\/1. Let r = f + -16. Is r a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 131\/19 + -7. Let p = 43 + -38. Which is the biggest value? (a) -0.89 (b) y (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 125476 (base 9) to base 5.\nAnswer: 4414314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(0 - (-26)\/(-65)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*t**4 - 1144*t**3 - 3*t**2 - t + 133803?\nAnswer: 144*t**2 - 6864*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 363365.\nAnswer: 5, 72673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*6\/(-9) - (-709)\/3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 33, 52, 105, 210, 385, 648?\n\"Answer: 3*d**3 - d**2 + d + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 5*t - 406 = -426. Sort 2, t, 1, 9 in ascending order.\nAnswer: t, 1, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/80 and 11\/4220.\nAnswer: 16880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 15*r - 25*r + 2 = -39*r, 7*r = -4*w + 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/sqrt(2) + -2 + (sqrt(300)\/sqrt(5))\/sqrt(12).\nAnswer: -2 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5383.29 rounded to the nearest 10?\nAnswer: 5380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/2)\/t**1)\/(t**(-1\/2)*t**1)*(t*(t*t**(3\/5))\/t*t**2\/t)\/(t**(-1\/4)*t**3) assuming t is positive.\nAnswer: t**(-23\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 2)\/((-13)\/26).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -4. Suppose -w = -5*z + 19. Let m be z\/34 + 22\/(-187). Which is bigger: 3\/23 or m?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s. Let q(v) be the second derivative of -3*v**2 + 7*v. Let d(x) = x**2 + 13. Let t(w) = 6*d(w) + 13*q(w). What is u(t(k))?\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 5:15 AM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 34.8714*-8\nAnswer: -278.9712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/6)\/((-3)\/18). Let l(o) = 3*o**n + 4*o**2 - 6*o**2. Let x(c) be the third derivative of c**5\/30 + 11*c**2. Give l(x(d)).\nAnswer: 4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -135 and 1979278.\nAnswer: 1979143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k + 2. Let i be r(-8). Calculate the greatest common divisor of 290 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 5*m - 71, -8*i = m - 5*i - 18. Solve j = 4*j + m for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.02544837 - -3.\nAnswer: -2.02544837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 22769 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10521 and 133097664.\nAnswer: 3507","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 6*c**2 - c - 3. Suppose -5*y + 0*y = p + 28, -20 = 4*y + 2*p. Let j be t(y). Put -4, -1, j in descending order.\nAnswer: j, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-1)\/((-18)\/(-36)*(-28)\/1)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*w + 3662 = 800. What is the highest common factor of 159 and w?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iyny when four letters picked without replacement from nnnygnnnyginjy.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 21938.8 hours?\nAnswer: 78979680000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v + 1976 = 29866. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -36*i**2 + 21*i. Let t(o) = -5*o**2 + 3*o. What is 2*h(p) - 15*t(p)?\nAnswer: 3*p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 2:31 PM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -77015849?\nAnswer: 77015850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 1693*o - 3385. Determine n(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s**3\/11 - 700459758*s**2\/11 + 1393874630044260*s + 348468661490950 = 0.\nAnswer: -1\/4, 43778735","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 17b112 (base 14) to base 9\nAnswer: 1515286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 6:37 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -50*x + 2257. Let q be w(45). Solve -2*d - 13 = -5*s, 4*s + 14*d = 19*d + q for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5110928286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -3224535?\nAnswer: -3224530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 267.2345 millennia to decades.\nAnswer: 26723.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 8:41 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -b34d1 (base 15) in base 3?\nAnswer: -1001212021121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -222, -33, 362, 1029, 2034?\nAnswer: 3443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26*j**2\/5 - 3238*j\/5 + 300.\nAnswer: -2*(j + 125)*(13*j - 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8, -20, -5, 6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 60, 97, 134, 171?\nAnswer: 208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 11.1. Let m = r + 0.6. Which is the third biggest value? (a) m (b) -0.2 (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 118*z + 123*z + 51 = 362*z - 108*z, -z = -3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 76886 * 0.1\nAnswer: 7688.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3126635 (base 9) in base 6?\nAnswer: -55453522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 5*w - 84. Let u be p(7). Suppose u = -4*t + 1072 + 432. Calculate the remainder when t is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 2*b + 8. Let z = b - -12. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10.167 - 5.167. Which is the second biggest value? (a) -7 (b) 1.5 (c) g (d) -0.3 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -115*f**2 - 3*f + 3. Let t(a) = -8*a**2 + 1. Give s(n) - 3*t(n).\nAnswer: -91*n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -169760 (base 13) to base 11\nAnswer: -355569","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert a1913 (base 12) to base 13.\nAnswer: 749c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 14*v**2 + 52*v - 46. Give u(-8).\nAnswer: 434","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1303 - 1?\nAnswer: 1302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.19 + -0.05. Let w = r + 0.3. Let t = w - 0.36. Is t at least -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1942717\/102 + -19047. Calculate the common denominator of ((-5)\/51)\/(1\/(-10)) and x.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 m when four letters picked without replacement from {a: 6, m: 6}?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43 (base 10) to base 12.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 6*k**2 - 2*k + 7. Let g be 7 + -2*(-4)\/(-8). Let v be f(g). Let w be 40\/16*(-8)\/v. Solve 3*n + w = -3*j - 5, 0 = 3*j for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, k: 1, n: 1, a: 1, o: 5}. Give prob of sequence ga.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 20*r**2 - 22*r - 24. Let c be j(-21). Let s be ((-201)\/4)\/(c\/(-12)). Let x = -71 - s. Is 35 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2 - 108095184*k - 730285550249616.\nAnswer: -4*(k + 13511898)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 17502*w**3 + 17466*w**3 - w**2 + 5*w**4 + 4 - 2*w to u*w**3 + i*w**2 + s*w + b*w**4 + c and give u.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4 = 0, q = 2*y + 2*q + 128. Let o = 16 - y. Is o a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/115 and -71\/138.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 320 + 62 = p. List the prime factors of p.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -211\/3? (a) 3 (b) 11 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3736681?\nAnswer: 13, 287437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2*v - 2 = -v, v - 8 = -5*c. Let x be (c*-9)\/(-2) + -2. Let k = 29 + x. What is the highest common factor of k and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 101979 = -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 131993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -52254.37*0.3\nAnswer: -15676.311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t = -19*t + 25. Suppose 27*h - t*h - 116 = 0. Is h a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z**3 + z**3 - 4315 - 6327.\nAnswer: -4*z**3 - 10642","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/982421 and -25\/4.\nAnswer: 3929684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 434 - 426. Suppose 2*r - i = -5*a, -a + 3*r + 3 + 2 = 0. What is the second smallest value in a, 4, 1\/3, 2\/31?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 720357 and 3?\nAnswer: 720354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -219 - (2 - (2 - 0)). Let d = -143 - j. Let u = d - 41. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5705 - 48661 = 4182*l for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(136) - sqrt(136)*1) + sqrt(136) + sqrt(136))*5)\/(-2*sqrt(648) + sqrt(648)).\nAnswer: -10*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 9\/251?\nAnswer: 9\/251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 106410 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2725, 5403, 8085, 10771, 13461?\n\"Answer: 2*l**2 + 2672*l + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 642153684?\nAnswer: 2, 3, 1619, 33053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/38, 1\/2, -1\/5, -0.1 in decreasing order.\nAnswer: 1\/2, -1\/38, -0.1, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-8) + 144952847\/(-55). Let f = t + 2632997. Let z = f + 12572\/5. Calculate the common denominator of z and -27\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 183?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/3 (b) 19 (c) 2\/5 (d) -2\/5 (e) -2850 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 695? (a) -5 (b) -4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i + 7 + 4 - 9 + 12. Let c be o(-9). Suppose 0 = c*z + 13 - 33. Solve -2*f + 6*f + z = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - q + 9. Suppose 4*i = -5*u + 2*u, 0 = 2*u + i. Give t(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*h = 52*h - 112*h + 3504. What are the prime factors of h?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 190 = 2*l + 208 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 27 = -4*p, p - 5*u + 11 = -0. Let q(x) be the first derivative of x**2\/2 + 6*x - 1. What is q(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 29836, 22909, 15984, 9061, 2140, -4779?\n\"Answer: s**2 - 6930*s + 36765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/62488 and 79\/156220.\nAnswer: 312440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*a**2 + 0*a**2 - a**2)*(2 + 3 - 1)*(-16*a**2 - 442 - 437 + 875) as g*a**4 + t*a**2 + i + r*a**3 + x*a and give t.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*l + 15. Let h be (3\/(l\/8))\/1. Solve h*a + 13 = f, -f + 4*a = 4*f - 35 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -59271, -237081, -533431, -948321, -1481751, -2133721, -2904231?\n\"Answer: -59270*v**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by -949\nAnswer: 19\/949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 490844 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yp when two letters picked without replacement from pccycyyycycyycccycy.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 6 = 0, 7 = -3*d + 5*g - 2. Solve -1 = d*f + 5 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(-2\/9)\/j)*j)**0\/(j**(6\/11)*j*j*j\/(j\/(j\/(j*j**(-9))))*j) assuming j is positive.\nAnswer: j**(-138\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 32804.95 centuries in months?\nAnswer: 39365940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 2:11 AM?\nAnswer: 213","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-24)*4 + 11\/2. Suppose 20*f - n*f = 42. Solve -r + 5*g + 2 + 9 = 0, -4*g = f*r + 24 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 5) + 0 + -6 + 8\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(832)*1*-1)\/(sqrt(768)\/sqrt(3)*3).\nAnswer: -sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 370516293?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 8514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (-1)\/((-40)\/(-475))\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 10*l**3 - 5970*l**2 + 5809*l + 89996. Determine b(596).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 7:10 AM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27810*y + 4*t - 11 = 27809*y - 59, 4*t + 40 = y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(2\/(1 - 9)). Suppose 2*v - 3*w + 5 = o*v, 2*w = -3*v. Let k = -54 - -54.1. Which is the closest to k? (a) 0.3 (b) v (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -150 (base 10) in base 16?\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*v**2 + 31*v**2 - 159*v**2 + 36*v**2 + 33*v**2.\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n**3 + 8*n**2 + 10. What is the lowest common multiple of 22 and t(-2)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 11 = 17. What is the remainder when 7*2\/(-2)*-1 is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m**2 + 8*m + 17. Suppose -3*c + 2*c - 7 = 0. Let y = -5 + c. Is z(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -199, 5, -0.5?\nAnswer: -199","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34936044*n**2 + 5*n**3 - 17467607*n**2 - 17468437*n**2.\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3472272 or -3472273?\nAnswer: -3472273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.6 to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.07 + -0.47. Let o = 1003\/2000 + -3\/2000. What is the nearest to 8 in o, 2, b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 985 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27373356*z**2 + 4918160.\nAnswer: 54746712*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (429*n + 74*n + 380*n - 334*n + 1687*n)*(-6 - 1 + 1) as x*n + z and give x.\nAnswer: -13416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 135832140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 94*b**2 - 457*b + 39. Give t(5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*x + 196 - 280 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 280 and 210.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 2 + 0 + -3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 + -2 - (-498)\/1 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 114, 552, 1466, 3006, 5322, 8564?\n\"Answer: 25*c**3 + 88*c**2 - c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2122372*q**2*w + 14887*q + 49*w wrt q.\nAnswer: 4244744*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 57 + 9.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.9 + -1.1. Let k = -3 + q. Let j = -8.99974 - k. Round j to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -0*f - 50. Suppose f = c - 2*c - 2*n, 0 = -4*c - 5*n - 31. What is the units digit of (2 + c\/(-6))*3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.6792246 rounded to 1 dp?\nAnswer: 8.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d - 1410*d**2 - 81*d**3 + 693*d**2 + 717*d**2.\nAnswer: -81*d**3 + 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2 - 5480070*y - 21920360.\nAnswer: 5*(y - 1096018)*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 3301*s - 2932*s - 6 - 1 in the form h*s + o and give h.\nAnswer: -6233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 125 = 3*c, 5 - 1 = -4*t. Does 41 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**1*t*t*t**(3\/5)*(t\/t**5)\/(t\/t**(-4\/7)) assuming t is positive.\nAnswer: t**(-69\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76278.09 millennia to centuries.\nAnswer: 762780.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -35*n**3 + 12*n**2 - n + 4. Let o(r) = 34*r**3 - 14*r**2 + r - 4. Let x(c) = -5*o(c) - 6*t(c). What is the second derivative of x(d) wrt d?\nAnswer: 240*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -539 divided by 3\nAnswer: -539\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6571 + 7107.8. Let b = t - 537. Put b, -1\/8, -0.04 in ascending order.\nAnswer: b, -1\/8, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -84000 or -84027?\nAnswer: -84000","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110111000110000001 - 100111?\nAnswer: -110111000110101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is d in d**2\/3 - 886*d\/3 + 196249\/3 = 0?\nAnswer: 443","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 - 27316756*l + 136583730.\nAnswer: 2*(l - 13658373)*(l - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -311163 divided by -16377\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**4 + 0*h**4 + 0*h**4 + (4 - 6 + 1)*(-h + 2*h**4 + h) + 68*h**4 + 60*h**4 - 45*h**4 + (-7 + 2 + 4)*(-h**4 + 10*h**4 + 4*h**4).\nAnswer: 67*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1664, 3918, 6174, 8432, 10692, 12954?\n\"Answer: j**2 + 2251*j - 588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 2*s = 6, 0 = -0*u + 2*u - 4*s - 12 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1624 and 1298?\nAnswer: 1053976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 4*f + 9 = -2*f + 3*f - 9, 24*k - 3*f = 36 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 2:23 AM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 11:40 PM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3, -11, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 725 = 7*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, -4, 0, -4393, -1, -278 in ascending order.\nAnswer: -4393, -278, -4, -1, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h - 27*h**2 - 12*h**2 + 3*h**2 - 2*h.\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + 18*k + 24. Let s(p) = -9*p - 12. Let f(b) = 3*r(b) + 5*s(b). Let z = -83 - -77. Is 22 a factor of f(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3*f + 0*f - 114 = 0, -5*t + 200 = 3*f. Factor 32*x - t*x**2 + 17*x**3 - 4 + 16*x**3 - 34*x**2 + 16*x**3.\nAnswer: (x - 1)*(7*x - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -16, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35119, 35111, 35103, 35095?\nAnswer: 35087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 15*l**2 + l + 2. Suppose 3*g = -3*m + 6, -4*g + 4*m = 13 + 3. Give t(g).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 3*s = v - 11, -v + 4*s + 12 = 0. Suppose 6 = n + d, 4*n - 3*d + 3 + 1 = 0. Let w be n\/(-3) - 8\/(-3). Solve -2*k = w*k - v for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12087433.\nAnswer: 12087433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1010019*g**2 + 500537*g**2 + 509476*g**2.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 343332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1427 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 7:38 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 261 divide 15660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10665 - -10664.974885. What is k rounded to three dps?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1))**36\/((f*f**(1\/2))\/(f\/((f**6\/f)\/f))) assuming f is positive.\nAnswer: f**(-81\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/25 and 58\/10825.\nAnswer: 10825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.1199893 + -3.12. Round y to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00168176 rounded to four decimal places?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.4? (a) -0.5 (b) -32 (c) -3\/7 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 370519957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*p - u = -18, -31*p + 5*u + 18 = -33*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/sqrt(32) - (sqrt(6) - (sqrt(6) + sqrt(6)*2 - sqrt(6)))*-2)\/(3*(-5*sqrt(45)\/sqrt(3))\/sqrt(5)).\nAnswer: 7*sqrt(2)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/12 and 61\/1266.\nAnswer: 2532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 8 = -3*z. Solve i = -z*i - 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - 12*q - 18. Let u be y(-11). Let k = -5 - u. Find the third derivative of -53*l + 53*l - 3*l**4 - 6*l**k wrt l.\nAnswer: -72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*p**5 + 4*p**5 + 6*p**5 + (p**2 + 4*p**2 - 4*p**2)*(3 - 3 + 2*p**3).\nAnswer: 28*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13139722 is divided by 650?\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z = -11*z + 7. Suppose 0 = z*l - 28 - 0. Solve 5*g = -4*m - 5, -g + 2*g - l*m + 1 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -1342.\nAnswer: 2\/671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -125\/3 + 41. Let k(z) = z**2 - 8*z + 4. Let t be k(10). Let r be (-4)\/t - (-2)\/3. Which is greater: a or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 2:19 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -2*g + 3 - 15, 3*g - u + 20 = 0. Let t(p) = p**3 + 8*p**2 + 7*p - 9. Let s be t(g). Let f = 20 + s. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 - (-95 + 77 - (-8 - (-3 + 2)))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-26)\/6) + (165679\/(-3354) - (-10)\/(-12)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 616 + 189. Let x(u) = 10*u**2 + u + 11. Let h be x(-5). Let b = h + g. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s**(-3\/7)\/s)\/s))\/(s*s*(s**(-1\/2)\/s)\/s*s))\/(s**(-2)\/(s\/(s**(2\/5)\/s))) assuming s is positive.\nAnswer: s**(457\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*q**3 - 20*q**3 - 13*q**3 - 2*q + 14*q**3 - 55*q**2 to s*q**3 + c*q + p*q**2 + z and give p.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51.9 + -55. Let a = 3 + v. Let i be (3\/(-2))\/((-5)\/10). What is the closest to a in -1\/5, 0.3, i?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 24*c**2. Let t(o) = 31*o - 31*o + 0*o**2 - 6*o**2. Give s(t(f)).\nAnswer: 864*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218*j + 211*j + 824*j + 594*j = 107126 for j.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 22 = -19 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(18\/7)\/a)\/(a\/(a*a\/(a*a\/a**(10\/7)*a*a*a)*a)) assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*h - 714 = -72*h. What is the remainder when 405 is divided by h?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -24*a + 23*a. Calculate the highest common divisor of 106 and a.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = -3*m + 7, -3*m + 5 = -2*m - 4*i for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 1 (c) -39\/11 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.6 + -4.33. Let a = -0.03 - i. Let g = 0.637 - a. What is g rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, n: 1, s: 9, d: 6, f: 2}. Give prob of sequence dons.\nAnswer: 3\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 2*q + 6. Suppose 2*a - 3 = q. Solve 2*l + 0 = -d + a, 2*d + 5*l - 7 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 82 = -5*w + 4*w, -3*m = -3*w - 234. What is the highest common factor of m and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 247\/120 - 14\/15. Let s be (-3 - -6)*(-76)\/(-486). Let c = s - 3463\/648. What is the common denominator of c and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tp when two letters picked without replacement from {b: 2, t: 2, p: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 592 + -484. Let d be (-28)\/(-2) + (-4)\/2. What is the greatest common divisor of d and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/9 + 1071\/81. Let u = 18 - v. Solve -4*y + 0*g + g = -10, 7 = -y + u*g for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -271*t**4\/4 - 65*t**3 + 249. Find the third derivative of q(h) wrt h.\nAnswer: -1626","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -1\/3, 3\/4 in ascending order.\nAnswer: -1\/3, -1\/5, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 292.9.\nAnswer: -878.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 14 + ((-81771)\/13095 - (-42)\/(-27))\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107503862, -107503867, -107503872?\nAnswer: -107503877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**3\/5 - 58*w**2\/5 + 221*w + 15050 = 0. Calculate w.\nAnswer: -50, -43, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 271298273 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (((-1098)\/180)\/61)\/(7\/(525\/5))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/15 of a minute in milliseconds?\nAnswer: 64000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 1 = -3*x + 79, 0 = -3*x + 4*d + 54. Suppose r - x = -r. Let k = 18 - r. Calculate the greatest common factor of k and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 25\/5134?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -9072?\nAnswer: -9069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -5 (b) -3\/2 (c) 699 (d) 43 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (78\/13)\/(0 - 1\/(-2)). Let v = 14 + -4. Which is smaller: t or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 180 - 179.909. Let d = o - -80.909. Let m = d + -78. Which is smaller: m or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6904190370 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 1:09 AM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13157, -26375, -39593?\nAnswer: -52811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3*r - 24 = x, 0 = 2*x - 2*r + 14. Does 6 divide x + 47 + (-4)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20106 is divided by 1673.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11330200 + -22120?\nAnswer: 11302020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of 0*m**6 + 0 - 1\/84*m**8 + 0*m**5 + 0*m**3 - 4*m**2 + 0*m**7 + 0*m + 1\/12*m**4. Find the second derivative of x(l) wrt l.\nAnswer: -80*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k. Let z(o) = 5*o + 6. Determine z(c(t)).\nAnswer: -5*t + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3465?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4616 (base 16) to base 11\nAnswer: 12531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = -3*f + 82, -4*o + 242 = f. Solve -o*s + 56*s = 10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5\/8 of a gram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - (-2 + (-45)\/27). Sort k, -4, 0, 4\/9 in decreasing order.\nAnswer: 4\/9, 0, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 99 - -12. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.323 != -0.05?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 3*x - 34 = 0, 5*x + 2 = 5*s - 8*s. Let z be (-4 - -2 - -1) + 210. Find the third derivative of -s*y**3 - z + 48*y**2 + 209 wrt y.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7\/2 of a millennium?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36.2 - -17.7. Let o = x + -54. Let t = 8.15 - 0.15. What is the second biggest value in o, 3, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -0.5. Let s = -0.149 + -83.851. Let f = s + 84.2. What is the fourth smallest value in -5\/4, 0.1, n, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 43455 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: Simplify -3*(((-1 + sqrt(20) + sqrt(60)\/sqrt(3) - (-6*sqrt(375))\/sqrt(3)) + 3)*5)**2*5.\nAnswer: -2169000 - 51000*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, l: 1}. Give prob of sequence bblb.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) + (sqrt(180) + 2)**2*4 - (sqrt(15)*1*2)\/sqrt(3)) + 4 + -1.\nAnswer: 100*sqrt(5) + 739","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gdgg when four letters picked without replacement from gggddgdt.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {s: 3, c: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2020600 rounded to the nearest 10000?\nAnswer: 2020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 16, y: 2}. What is prob of picking 3 y and 1 m?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 933*a**2 - 52146*a - 5712 = 0.\nAnswer: -34\/311, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) -7 (c) -11 (d) -0.1225\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3.258 times 4\nAnswer: 13.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 22, 44, 66, 88, 110?\n\"Answer: 22*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a + 25 = 484. Calculate the remainder when a is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 606697 to the nearest integer?\nAnswer: 779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 482222 and -1.\nAnswer: 482221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3\/2 (b) -1 (c) 0.4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24282 and 2394.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - 6*u**2 + 1. Let g(l) = -l**2 + l + 1. Let t(b) = -3*g(b) + n(b). Let h be t(4). Suppose 1\/2*m**h - 1 - 1\/2*m = 0. Calculate m.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 7*h**2 + 4*h - 6. Let v(r) = 3*r + 1. Let b be v(-7). Let o = 15 + b. List the prime factors of a(o).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9057 or 9058?\nAnswer: 9057","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by 8390926.\nAnswer: 11\/8390926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 66 - 50. Solve 4*h = x*h - 48 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3b08b2 (base 13) in base 7?\nAnswer: -15102530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, 382, -3, 143 in increasing order.\nAnswer: -3, 31, 143, 382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 101 = -4*o + 41, -3*t = -12*o - 54 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8174 + -1?\nAnswer: 8173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -20 (b) 1\/14 (c) -4 (d) 5\/2 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/30114 and 163\/11160?\nAnswer: 18670680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (90\/27)\/(1\/(-3)*2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 778923?\nAnswer: 3, 17, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -91, -185, -415, -841, -1523?\nAnswer: -2521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/14)\/(152\/5852). Suppose k - 74 = 5*v, -3*v + 4*k - 73 + 32 = 0. Let q = y + v. Does 2 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -r**4\/12 + 4*r**3\/3 - 6*r**2 - 3*r. Let v be k(6). Solve v = -5*u + 7 + 13 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 24*s = 43*s - 8*s - 303, -3*r = -4*s + 14 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7 or -105\/13?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*-1 + (-108)\/6. Let l = -27 - o. Is 4 a factor of (-2)\/3*(l - 12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4 + 5*n**3 - 5*n**3 - n**3 - 4*n**2. Let i(w) = w**3 + w**2 + 1. Let b = 34 + -33. What is b*k(p) + 4*i(p)?\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven halves of a milligram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 11*u - 55. Calculate i(0).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 5*g**2 - 6*g + 2. Determine c(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1185916 to the power of 1\/3, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 654 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + -0.1. Suppose 840 = -f + 6*f + l, 0 = -f + l + 174. Let r = f - 1179\/7. What is the nearest to m in 5, -5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 10:32 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 27*n**2 - 183*n - 2163. Calculate k(13).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 5:18 PM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3\/11 + 91*b**2\/11 + 784*b\/11 - 65856\/11.\nAnswer: (b - 21)*(b + 56)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.311 and 3?\nAnswer: 0.933","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**5\/7 - 72*u**4\/7 + 69*u**3\/7 + 3636*u**2\/7 - 3348*u\/7 - 19440\/7 = 0. What is u?\nAnswer: -6, -2, 3, 9, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jk when two letters picked without replacement from kgegejegfkee?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 431726 is divided by 2106?\nAnswer: 2102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-3 + (-3*sqrt(77))\/sqrt(7)))**2 - ((-1*sqrt(110) - sqrt(110))*-3)\/(sqrt(20)\/sqrt(8)).\nAnswer: 438*sqrt(11) + 2700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -458 + 228. Let z = l + 228.853. Round z to 2 decimal places.\nAnswer: -1.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of 5*d**4\/16 - 95*d**3\/12 + 125*d**2\/4 - 40*d - 724. Solve v(m) = 0 for m.\nAnswer: 1, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 7*f + 6. Let g(s) be the third derivative of s**4\/3 + 7*s**3\/6 + 44*s**2 - s. Suppose -26*u - 118 - 38 = 0. Determine u*g(m) + 7*l(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(6\/5)*b**7)\/((b\/b**(2\/7))\/((b**(-1\/7)*b)\/b)) assuming b is positive.\nAnswer: b**(257\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pwqgpgpggpg. Give prob of picking 1 g, 1 q, 1 w, and 1 p.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/10, -9\/7, -0.3, 0.3?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1160)\/5*(-1 - -2). Let w = 242 + t. Solve 26 - 6 = -4*i, -5*h + 4*i = -w for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5.8 - -1.2. Let h = -553 - -553.229. Let g = h + 3.771. What is the closest to o in g, -5, 0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000225890232 to 7 decimal places.\nAnswer: 0.0000226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 32*g**2 + 1. What is the lowest common multiple of c(1) and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -4 (c) -471 (d) -1\/2 (e) -92.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 474 + 122 = 0. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of l**8\/3360 - l**5\/10 - l**4\/6 + 2*l. Let h(b) be the third derivative of k(b). What is the derivative of h(s) wrt s?\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/1901 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -4*q + 5*f - 20, 12 = 4*q + 3*f. Solve -2*z = -q*z + 4, 3*r = 3*z + 15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01135706 to five dps.\nAnswer: 0.01136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 57\/5 of a decade?\nAnswer: 1368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1282*0.84\nAnswer: -1076.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*w - 4*w + 2*w)*(-2 + 2 + 2*w) + 6 + 4*w**2 - 6 + 29*w**2 + 88*w**2 - 17*w**2 to the form j + s*w + o*w**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o - 1. Let h be v(1). Let n be (4 - -97) + (1 - h). Suppose -7*y = -y - n. Solve 0 = -5*g - y + 2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s - 20*s**3 + 2*s**2 - 2*s**2.\nAnswer: -20*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z - 15*z + 54 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1257120 divided by 17460\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 2*i + 6. Let d be q(-3). Let r(n) = -n**2 + n + 3. Let k be r(0). Calculate the highest common factor of d and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 3*f + 18 = -2*n, 0 = -4*n + 3*f - 3. Suppose 0 = -2*h - n*h. Suppose 20*w - 16*w - 160 = h. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -12171225, -24342223, -36513223, -48684225, -60855229?\n\"Answer: -j**2 - 12170995*j - 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/9941 - 666039\/79528. Let i = 73\/13 - 358\/117. Find the common denominator of i and f.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22594 and 1598091.\nAnswer: 869","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -472*d + 524 + 55*d - 1503*d + 285*d + 1328 wrt d?\nAnswer: -1635","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x + 50 - 7 + 67 + 19.\nAnswer: -2*x + 129","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 + 0)*(-3*g + g + g)*(-80 + 80 - 14*g) to c*g + j + w*g**2 and give w.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**2 - 4*o**2 + 2*o**2)*(2 - 3 - 1) + (-3*o + 0*o - o)*(6*o - o + 0*o).\nAnswer: -22*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7393, 30058, 68051, 121372, 190021, 273998, 373303?\nAnswer: 487936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of -11*x**4\/12 + 8*x**3\/3 + 14*x + 2. Let a(y) = -2*y**2. Calculate g(a(h)).\nAnswer: -44*h**4 - 32*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001729 to five dps.\nAnswer: -0.00173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, i: 8, x: 4}. What is prob of sequence ii?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -705*c**2 - 5*c - 393. Let n(t) = -1408*t**2 - 11*t - 786. Let w(m) = -11*h(m) + 5*n(m). Differentiate w(o) with respect to o.\nAnswer: 1430*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 60188, -5, -1?\nAnswer: 60188","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of 4*s**4\/3 - 13*s**3\/3 + 106*s**2. What is the hundreds digit of c(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 11 = -59. Let v be 2\/5 - 56\/m. Let i be 20\/2 - v - -2. Solve -4*t - 16 = 3*h - 2*h, i = -2*t for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m**2 - 7*m - 4. Let b be w(-4). Suppose 248*n - 16188 + 1448 = 28*n. What is the remainder when n is divided by 2\/b - 171\/(-12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2235, 4450, 6649, 8826, 10975, 13090?\n\"Answer: -v**3 - 2*v**2 + 2228*v + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 388800 and 1010880.\nAnswer: 5054400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77225 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.039 + 4.961. Let m = 2.5 - 2. What is the smallest value in m, s, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2e (base 16) to base 5\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111001 - 11?\nAnswer: 110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 45*g = -41*g + 564595, 3*g - 3 = 0. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 10:56 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - 5*v + 6. Let g be a(4). Let n(p) = -4 + p**2 - p**g + p**2 - 3*p. Give n(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 9*y**4\/2 - 1469*y**3\/2 + 6077*y**2\/2 - 5571*y\/2 + 477 = 0.\nAnswer: 2\/9, 1, 3, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of 26\/3*j**3 - 4 - 4*j**2 + 203\/24*j**4 + 0*j. What is the derivative of s(l) wrt l?\nAnswer: 203","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 6*q**2 + q - 3. Let x be m(6). Suppose -x*r - 2 = -4*r. Suppose 6 = 3*h + r*f + f, 14 = 3*h - f. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 6*l + 28 = 2*l, 0 = -k - 2*l + 7. Calculate the remainder when k is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 6939.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l - 15 = -17*l. Let b(x) = -x**3 + 128 - 5*x**2 - 131 + 3*x**2 + l*x. Determine b(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1211030 - 2?\nAnswer: 1211022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + 4*l + 12. Let f be p(10). Let h = -42 - f. Let q be (-14 + 11)\/(h\/(-8)). Let i(a) = -a**3 + 4*a**2 + 6*a - 6. Determine i(q).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 3:57 AM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1789, -14247, -48063, -113917, -222489?\n\"Answer: -1780*w**3 + w**2 - w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 59139.151 to the nearest 1000.\nAnswer: 59000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 65 and 1535071.\nAnswer: 1535136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -904043 less than or equal to -904044?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -9*j**2. Let w(o) = -32*o. Give x(w(a)).\nAnswer: -9216*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0222, -2\/23, 5, 2, -2, 8 in ascending order.\nAnswer: -2, -2\/23, 0.0222, 2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g + 2*g + g + 2 - 2 - 2*g + (0 + 2 - 1)*(-g + g - g) - 6*g - 6*g + 6*g.\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 4*s**2 + 5*s + 2. List the prime factors of h(-6).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 13*l**3 - 14*l + 14*l - l**2. List the prime factors of f(1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -207303 divided by 69101\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2064 + 5375. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 253427 - 600318 = -71*a + 976691. What is the hundreds digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -2 + sqrt(98) + sqrt(2) + -1 + (sqrt(4) + (sqrt(4) + sqrt(36))*2 + sqrt(4))\/sqrt(2).\nAnswer: -7 + 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 9:27 AM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 3*w + 21 = 4*w, -24 = 3*i - 2*w. Let s be i\/27 + 20\/9. Let l(v) = v + 0*v**s + v - v**2 - 5*v. Give l(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*n + 75 = 8*n + 7*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.4492246 minus -1.22845?\nAnswer: -37.2207746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120 = 3*p + 7*t, -3*p - 1358 = t - 1388 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8.51 and 0.86.\nAnswer: 7.3186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*d + 65*d - 5*d**3 - 38*d**2 - 197*d + 65*d.\nAnswer: -5*d**3 - 38*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) + (1*(sqrt(1872)*-1 - sqrt(1872)) + sqrt(1872) - sqrt(1872)) + sqrt(1872) + sqrt(1872) - (sqrt(468)\/(sqrt(9)*2) + 0))**2.\nAnswer: 1573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 2*h - 1. Let w be n(3). Let z(o) = -2*o + 0 + 1 - 4 + 5*o + 6*o**2. Is z(w) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 32*q = -56. Suppose -4*f = 2*k + 28, -4*k - 3*f - 42 = -11. Let j = 7 + k. Solve j*u = -4*b - 7, -q*u + 1 = u + 2*b for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/32*(1 + -13). Let u = 425 + -4677\/11. Which is the second smallest value? (a) -2 (b) u (c) 9 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 623 - 613. Calculate the remainder when 168 is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**5 + 1509*c**4 + 148626*c**3 + 576364*c**2 + 570312*c = 0. Calculate c.\nAnswer: -89, -2, 0, 1602","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/21 - (-228)\/(-14). Let m = 103\/8 - -21\/8. Calculate the common denominator of 1\/(-2) - (-67)\/k and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 11:34 PM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33094 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -5 (c) 510\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7edbf (base 16) in base 8?\nAnswer: 1766677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/110*(-3660)\/6405.\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4737 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 15 = -3*q, -820*p + 42*q = -816*p + 4*q - 326 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and 1423?\nAnswer: 12807","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - -6. Let j = 284 - 78. Suppose -10*w - 26 + j = 0. What is the least common multiple of l and w?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 587 = -575 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -66.599 - -67. Let l = s - 0.091. What is l rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41805408*p + 9*p**2 + 41805408*p.\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1127 and 4439?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 16 + 0 + -2 + -70 - -4?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.230081km to meters.\nAnswer: 5230.081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of 0*z**2 + 0*z - 120 - 7\/5*z**5 - 151\/3*z**3 + 0*z**4 - 5\/3*z**6. What is the third derivative of q(k) wrt k?\nAnswer: -600*k**2 - 168*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2756, 5509, 8264, 11021?\n\"Answer: l**2 + 2750*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -582*a - 582*a - 602*a - 514*a + 2304*a.\nAnswer: 24*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iixb when four letters picked without replacement from ssiribxjrjixrbi.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 307 divide 36533?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + ((-10440)\/1600 + 14 - 2\/4).\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*s + 85 + 3 = 0. Suppose -s*z - 3 = -3*x - 15, -x = -3*z + 9. Sort 28, 4, x in decreasing order.\nAnswer: 28, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/8)\/(9\/6). Let r be 45\/(-165) + (-20)\/(-33). What is the nearest to 0.3 in r, -1\/5, i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3717 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/(-8))\/((-6)\/(-120)). Let n be 0 - (w\/(-9) - 0) - 3. Let j = 7 + -7.2. Which is the closest to 1? (a) n (b) 0.4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21 in 0, -2, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 3 - (-18 - -23)) + -11?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-seven quarters of a hour?\nAnswer: 24300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59 + -23. Let x = h + -35.5. Let k = -0.4 + x. Which is the closest to -1? (a) 5 (b) k (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(-1)\/((-25)\/10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7672.\nAnswer: 2, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 13. Let y(i) = 5*i**2 - i + 1. Let p be y(1). Let s = -75 - -301\/4. What is the closest to 0.1 in t, s, p?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + 10*q - 4. Let c be s(9). Let j(z) = 7*z**3 - 3*z**2 + 4*z - 3. Let h be j(1). Solve -c*t + 3*t + h = 5*p, 0 = t for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -l - 1. Suppose -l = -2*t - 4. What is the nearest to t in 0.3, 0.1, 2\/13?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12358 = 32*u + 23*u - 9938 for u.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**2 + 4 + 0*y - y**4 + 3*y**4 - 3*y to d + s*y + l*y**4 + g*y**3 + n*y**2 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - f**2 + f + 1. Let y be b(0). Let a = 3 - y. Let m(g) = -g**2 + 2*g - 1. Give m(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v**4 + 560*v**3 - 11110*v**2 + 20560*v - 10005 = 0. Calculate v.\nAnswer: 1, 23, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1872048 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (10 - 2 - (69 - 46))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-18)*((-12)\/7)\/(-3).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (7112\/(-16))\/7*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*f = 183 - 36 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 276, 57, -1142, -3819, -8472, -15599?\nAnswer: -25698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**2*g**3 - c**2*g**2 + 518*c*g**2 + c - 3044671*g**3 + 318 wrt g?\nAnswer: 12*c**2 - 18268026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 6 + 6*i**3)*(2*i - 3*i + 4*i) - i**4 + i**4 + i**4 + 0*i**4 - i**4 - 2*i**4 to the form d*i**3 + t*i + m*i**2 + l*i**4 + y and give l.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of m**3 - 9*m**2 + 44*m - 3445?\nAnswer: 3*m**2 - 18*m + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/(-176))\/(-2 + 125985\/62993). Let t = s + -2864. Find the common denominator of -57\/20 and t.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + g + 2*g**2)*(3528*g + 5752*g - 1591*g - 556*g) + g**2 + g**3 - g**2.\nAnswer: 14267*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6503*i**2 + 3251*i**2 - 4 + 3254*i**2)*(3 + 0 + 2 - 4) in the form h*i + v + y*i**2 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 8) in base 6?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/(-38) - (-4)\/(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 1 = -3*v. Let f(g) = -g**3 - g. Let a be f(0). Suppose a = -n + 2*m + 13, -4*n + 5*m + 32 = m. Put n, v, 0 in descending order.\nAnswer: n, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3\/7 + 2391*l**2\/7 + 23685*l\/7 + 59025\/7.\nAnswer: 3*(l + 5)**2*(l + 787)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3550231 + 31253?\nAnswer: 4021524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 10*h**2 - 5*h - 18. Let r be k(11). Suppose -i + 3*p - r + 190 = 0, -i - p + 138 = 0. What are the prime factors of i?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -5. Suppose -22 = 4*r - 6, r = y - 8. Let j be 1 + 6\/(y - c). Let b(p) = 5*p**2 + 2. Let u(h) = -h**2. Give j*b(q) - 6*u(q).\nAnswer: q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*x - 15*x + 36*x - 280 = 0 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n**2 + 1350*n - 4038. Calculate d(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2826 - -6031. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + -146.6814.\nAnswer: -147.1814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 532.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 424734*q**3 + 1903*q**2 + 92 + 76 - 4*q - 424732*q**3 - 789*q**2 wrt q.\nAnswer: 12*q + 2228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c = -12*c - 2. Suppose 4*l + 2*y = 10, -3*l - c*y = -6*l + 11. Solve -l*h = 4*q + h + 24, 0 = -q + 5*h for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 143921\/49 + -2937. Calculate the common denominator of d and 59\/7.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 476808.2 millimeters in kilometers?\nAnswer: 0.4768082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/1424 and -115\/13884?\nAnswer: 55536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*p + 4*p = -29*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 144*a**3 + 3010224*a**2 - 59242844*a + 291345776.\nAnswer: 4*(a + 20924)*(6*a - 59)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-36)*y)\/(y*y\/(y*(y\/y**(-22))\/y)) assuming y is positive.\nAnswer: y**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*d = -355*d + 80*d - 662 + 2822 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.3 or -96169?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1085 + -940. Suppose 5*q = m - 120, 3*m + z = -5*q - m. Which is smaller: q or -11?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54 and 763535835.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 496298197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 77*-1\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 11:28 AM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -81? (a) -8 (b) -1 (c) -5.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -a*d*s - 4*a*s + 2*a + 13*d*s - 4*d - 2*s + 36 wrt s?\nAnswer: -a*d - 4*a + 13*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.12 (b) -28.64 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -25 or 218\/175?\nAnswer: 218\/175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {j: 3, t: 3, i: 5, r: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 32481?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-1204)\/66220*100\/(-15)*(-6)\/(-2)\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 3*s**2 + s + 6. Let o be y(-3). Suppose 0 = -2*d - i + 5, 6 = -3*d + o*i + 27. Calculate the remainder when 6 is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 6*z + 9. What is w(7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -245 and -68907.\nAnswer: 16882215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 2:14 PM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + a + 22 + 149 = 0, 230 = 4*m - 2*a. Suppose p = q + 4*q + 21, 2 = 2*q. What is the remainder when m is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 150*a**2 - 25*a - 25. Let q(c) = -37*c**2 + 6*c + 6. Let u(v) = -25*q(v) - 6*y(v). Let x(r) = 937*r + 4 - 944*r - 4. Calculate x(u(p)).\nAnswer: -175*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.1011891 - 11.95535.\nAnswer: -14.0565391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d**2. Let o be (-4)\/(-4)*2*1. Let h(k) = -10*k - 4 + o + 2. Calculate h(i(y)).\nAnswer: -20*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1505, 1477, 1451, 1427?\n\"Answer: a**2 - 31*a + 1535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -10\/9, 0.147, -3\/5, -4.5, -1\/3 in decreasing order.\nAnswer: 0.147, -1\/3, -3\/5, -10\/9, -4.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ninety-one halves of a microgram in nanograms?\nAnswer: 45500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -57.2 + 38.3. Let n = k - -19. Let g be -1 - -3 - (-10)\/(-4). Are n and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2*sqrt(3)*6 + sqrt(36)\/sqrt(192))**2 + 0 + (2*(sqrt(243) + 3)**2 - sqrt(243)) + sqrt(243).\nAnswer: -4611\/4 + 108*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 473 and 258.\nAnswer: 2838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-6)*w**10)\/(w**(-2\/5)\/w)**(-36) assuming w is positive.\nAnswer: w**(-232\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-528)\/(-14))\/(-33) - 2159599\/(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 16*y - 12. What are the prime factors of p(13)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38265 + -38135. Round r to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 13.2. Let c = y - -0.7. Put c, 4, -1\/6 in decreasing order.\nAnswer: 4, -1\/6, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -93.8747 - 0.1253. Let g = 11122684.99961 - 11122591. Let y = g + z. What is y rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 PM and 2:44 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 578 is divided by 53?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m**3 + m**2 + 8*m + 77. Let b(u) = 4*u**3 + 2*u**2 + 10*u + 79. What is 4*b(d) - 5*i(d)?\nAnswer: d**3 + 3*d**2 - 69","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -1, -4, -0.18?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 4\/32375?\nAnswer: 4\/32375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eaueaywaaaaawydyauwy. Give prob of picking 1 e, 1 a, and 1 w.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 26 = 8*c. Calculate the remainder when 26 is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*r = z - 15*r - 31*r - 89, 3*z + r = 41 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28.0954 + 27.972. Put -0.2, -0.3, 1, x in descending order.\nAnswer: 1, x, -0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100771 times -1114\nAnswer: -112258894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 2) + (-13 - -21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + 32\/24)\/(6\/9). Let g be 15\/20*-6*(-2)\/3. Suppose 0 = -3*f + 5*o + 15, 4*f - o = -2*o - g. Sort v, f, -18 in descending order.\nAnswer: v, f, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 291235 and 0.3?\nAnswer: 291234.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 162053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19*q - 2*q**2 - 19*q)*(-4*q + 2*q + 4*q) to o*q**3 + f + n*q + i*q**2 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38788354\/106897 + 2540\/7. Is c < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -i**2\/8 + 2141*i\/8 + 1071\/4 = 0.\nAnswer: -1, 2142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -924 - -1023.6. Let r = m - 100. Put -4\/3, r, -5, 0 in descending order.\nAnswer: 0, r, -4\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 161164 or 158074?\nAnswer: 158074","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + 15. Let x = 33 - c. Find g such that -2*g**x - 1\/2*g**4 - 2*g - 1\/2 + 4*g**3 + g**2 = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 m when three letters picked without replacement from clxxxxxxxcccmxxm?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 33, 6, 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25724, -25680, -25642, -25610, -25584, -25564?\nAnswer: -25550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -5 + (0 - -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 624017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 282 and 8601?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/1167300 and 121\/300.\nAnswer: 1167300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 0. Suppose -2*d + 3*i - 18 = 2*d, 4*d - 4*i + 20 = 0. Let u be (d + 3)*(-2)\/4. Is u at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2820 + 3992. Suppose 0 = 5*h - y - 563. List the prime factors of h.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 11 + 13. Let a = -12 - m. Let x(p) = p - 10*p**2 - 16 + 29*p**2 - 18*p**2. What is x(a)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1934, -0.5, 2, 1 in descending order.\nAnswer: 2, 1, -0.5, -1934","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of a**5\/35 - 37*a**4\/28 - 53*a**3\/7 - 29*a**2\/2 - 82*a\/7 - 1121. Factor d(l).\nAnswer: (l - 41)*(l + 1)**2*(l + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p = 31*p - 76. Solve 0 = 10*r + p*r + 14 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*1365\/560*-4?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32816367 and 153?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 69*v**2 - 8. Let t(x) = -46*x**2 + 5. Calculate 5*k(z) + 8*t(z).\nAnswer: -23*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ihiiihihhiihhh. What is prob of picking 3 h?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2249\/12 + 563\/3. Let x = 1786\/5 - 1599\/5. Let t = x + -37. Is t greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -485 = -18*b - 107. What is the greatest common divisor of 399 and b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12441 (base 5) to base 7.\nAnswer: -2622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 325723070?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 5 - 4)*(865*w**3 + 159*w - 318*w + 159*w) as q*w**2 + a*w**3 + f + t*w and give a.\nAnswer: -1730","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1411869892 divided by 4\nAnswer: -352967473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*w - 16 = 0, 3*w + 12 = v - 5. Let c(j) = j - 2*j + 1 + v*j + 8. What is c(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -355*r + 7140. Let k be j(20). What is the greatest common factor of k and 73040?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 b when two letters picked without replacement from {b: 1, v: 2, w: 1, q: 2, t: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(13) + 2)*4 + 5 + (sqrt(104)\/sqrt(2) + sqrt(52))\/sqrt(4))**2.\nAnswer: 108*sqrt(13) + 549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 5*g + 820. What are the prime factors of ((-27)\/((-1890)\/(-616)))\/((-4)\/g)?\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 19*v - 29. What is w(-20)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4689 - -6684. Is 19 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -374, 1, 52, 2, 1204 in descending order.\nAnswer: 1204, 52, 2, 1, -5, -374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 4 + 2 = 0. Let i(h) = -h**3 - 3*h**2 + h + 1. Let m be i(-3). Let d = n - m. Solve -d - 12 = -5*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0\/6)\/(1\/(-1)). Suppose -2*u + 32 + 2 = i. What is the remainder when 66 is divided by u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 2*d + 1. Let s(w) be the second derivative of 5*w**4\/12 + w**3 - w**2\/2 + 311*w. Let i be s(-1). Calculate y(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-4 + sqrt(3) + (sqrt(3) - (sqrt(3) - (sqrt(12)\/sqrt(4) - sqrt(3) - sqrt(3)))))*-6 + 3)**2.\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 112477024263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of 6 - 1\/50*t**5 - 41\/30*t**3 + 11\/20*t**4 + t**2 + 0*t. Factor j(b).\nAnswer: -b*(b - 20)*(b - 1)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 29004.23 to the nearest one thousand.\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -604 + 4663 = -145*c - 106*c - 118*c for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*s - 30*s - 4*w + 40 = 0, 10*s = -5*w + 60 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 9*f**2 - 11*f + 11. Calculate h(8).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 70 = -58. Suppose 4*k = y - w*y + 42, 4*k = 2*y + 54. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2326090 and 1851.\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07 + -62.\nAnswer: -62.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1055 divided by -211\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -264111, 7\/3, 0, -2\/9 in decreasing order.\nAnswer: 7\/3, 0, -2\/9, -264111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l + 11. Let f be -1 - -3 - (12 - 1). What is the units digit of c(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/(-5))\/((-12)\/(-549987)). Let v = c - -9164. Calculate the common denominator of v and -5\/22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nrvv when four letters picked without replacement from {l: 1, v: 6, r: 1, i: 4, n: 1}.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/11 + 1382174*h\/11 - 4146540\/11.\nAnswer: 2*(h - 3)*(h + 691090)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 3 + 30. Suppose -4*a - q + 13 = -n, -3*q - 18 = -2*a. Let f(r) = r**2 - 5*r + 2. What is the least common multiple of 6 and f(a)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*o + 9*o**2 + 3*o**2 - 14*o**2)*(-15*o**3 + 5*o**3 - 19*o**3) + (-3*o**2 - o**2 + 6*o**2)*(-6*o**3 - 2*o**3 + 0*o**3).\nAnswer: 42*o**5 - 232*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - 14. Let u(y) = 1 + 105*y - y**q - 50*y - 54*y. Calculate u(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21328 and 1720.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z + 8 - 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 5*y + 60, 29 = -73*i + 70*i - 2*y. What is the third smallest value in 2\/5, -0.2, -5\/7, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 2*k = 5, -3 = -v - 77*k + 74*k for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 141 and 55?\nAnswer: 7755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g + 33. Let p be x(11). Suppose -c - 11 = -p. What is the derivative of 8*d - 18 + c + 14*d wrt d?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -178 - -5?\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -102*-4.\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, n: 19}. What is prob of picking 1 n and 1 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 785041275 to the power of 1\/2, to the nearest integer?\nAnswer: 28019","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*o - 28*o - 17316 = 0. Which is bigger: o or -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: 15.10253 times -0.03\nAnswer: -0.4530759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 15*d**2 + 3*d + 5. Is t(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -14?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 3:14 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219171050 is divided by 288004?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 382788 and 4781812?\nAnswer: 301254156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11711893.\nAnswer: 31, 467, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w - 2. Let o = -13 + 1. Let h = -11 - o. Let t be 0 - (h - (6 - 1)). Determine b(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.21 and -8.5.\nAnswer: 1.785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 161431 to the power of 1\/2, to the nearest integer?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-50)\/6)\/(1\/(-3)). Suppose -4*v = -k + 5. Solve -2*q = 4*x - 10 - 2, -29 = q - v*x for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g + 2*g + 1204*g**2 - 2846*g**2.\nAnswer: -1642*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*h**2 + 2*h**2 + 4*h**2.\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 225*h - 2*h**2 - 4286*h**3 + 2*h**2 + 4276*h**3 to w + i*h**3 + p*h + f*h**2 and give p.\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqaa when four letters picked without replacement from qqqaqqqaqqqqqqaq.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q + 12 = 8*q + 2*z, 0 = 4*q + z + 3 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - 10*b + 9. Let d be k(9). Which is smaller: d or -2\/41?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 11, w: 9}. What is prob of picking 3 t?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008100366 to six decimal places.\nAnswer: -0.00081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, -2\/7, 10?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(624)\/sqrt(3) + -2 - ((0 + -1*sqrt(117))**2 - sqrt(117))).\nAnswer: -115 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 5 + 5. Let s = 4 - 2. Let t(n) = n**2 - n - s + n**3 - 2*n + 3. Calculate t(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 684858 and 6.\nAnswer: 4109148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 11*c + 4. Let b be x(2). Let y(p) = 10*p + 3. Let i be y(-2). Let k = b + i. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2574440 is divided by 324?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -5*n - 20, 265*n + 13 = 3*j + 263*n for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*n**4 + n**4 - 3*n**4 + (3*n + 0*n - 5*n)*(2*n**3 - n**3 + 0*n**3) + 4*n - 4*n + 2*n**4)*(7 + 9 - 19)*(0 + 0 - n).\nAnswer: 36*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1434*x**2 - 1897*x**2 + 18886*x**2 + 25048*x**2.\nAnswer: 43471*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of 8*n**3\/3 - 3*n**2 - 6*n + 3. Let s be g(7). Suppose 6*m + s = 2*m. What is m rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 + 25. Calculate the remainder when 12 is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**4 + 2*t - 2*t - t**4 + 5*t**4 + 4*t**4 + (8*t**3 - 2*t**3 + 0*t**3)*(-2*t + 4*t + 0*t).\nAnswer: 17*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37 - 22. Let o(g) be the third derivative of 2*g**5\/15 + 3*g**2. Calculate the remainder when t is divided by o(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87 + -50 + -44 + -11?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.25 + 3449?\nAnswer: 3448.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -62038 + 310192\/5. Let s(g) = 2*g + 7. Let t be s(-6). Which is the second smallest value? (a) 3\/4 (b) 4 (c) f (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (3 + -6 - 0 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0014844 rounded to five dps?\nAnswer: 0.00148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*r - 18*r + 911. Suppose -4*f + r = 111. Let i = 3 + f. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28078237?\nAnswer: 11, 17, 150151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 8*r**2 + 12*r. Let q be v(-6). Suppose q = t + 32 - 80. Does 10 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -113, 3, 1, -925, 2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -1\/10, 0.5, -2\/9, 99, 0.42, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q + 1 - 1 + q**3 - 2.\nAnswer: (q - 2)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 = 7*t - 118 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1702, -1, -3, -2 in descending order.\nAnswer: 1702, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*n - 1 - 57*n + 1 to the form a*n + l and give a.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -114\/385 (b) -1 (c) 2\/3 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b + 58. Suppose -49 = -9*x - 184. What is the units digit of j(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10759 and 16874723.\nAnswer: 1537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103014 is divided by 202?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41493408.\nAnswer: 2, 3, 11, 39293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2343438716?\nAnswer: 2, 197, 877, 3391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/5 and (-1098)\/24*(-4)\/(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3594.\nAnswer: 2, 3, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 634360 from -1.3.\nAnswer: -634361.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40660 is divided by 6948.\nAnswer: 5920","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50828, -50682, -50464, -50138, -49668, -49018?\nAnswer: -48152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28161330.\nAnswer: 2, 3, 5, 31, 107, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28462, -56884, -85310, -113740, -142174, -170612?\nAnswer: -199054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 201 and -13.\nAnswer: -2613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 466130 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.3, -124.67, 0.208?\nAnswer: 0.208","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11728 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 8:23 AM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-180) - (-308)\/1260\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -689, -691, -693, -695, -697, -699?\nAnswer: -701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 107249467\/426 - 251759. What is the common denominator of r and 11\/355?\nAnswer: 2130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1799637 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 6*u**2. Suppose 3*k - 6790 = -4*a, -2*a - 3*k + 3400 = k. Let w(t) = -t - 1696 + 7*t + a. Determine c(w(b)).\nAnswer: 216*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 4, c: 1, a: 8, s: 3, b: 1}. What is prob of sequence cb?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -18829.9236 rounded to the nearest 100?\nAnswer: -18800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 3:12 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 51*((-319)\/87)\/(-11)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lgxglllllxlg. What is prob of sequence xgg?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/((-20)\/455) + 4. Let s = j - -84. Let u(r) = -r**2. Determine u(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**2 - 37*t + 1768. Determine i(36).\nAnswer: 3028","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 2\/3, 3\/4, -5, 909?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 2. What is the remainder when 20 is divided by 1\/(-5) + 72\/l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 277*b**4 + 2*b**3 + 8 - 4*b + 8*b**2 - 279*b**4 - 5*b**2 as x*b**4 + n*b**2 + c*b**3 + p*b + d and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.03, 0.5, -2\/7, -505?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 1995?\nAnswer: -1\/399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2123 - 21261\/10. What is the common denominator of v and 77\/138?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 78496509 to the nearest integer?\nAnswer: 8860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.833 in 3\/2, 1\/4, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tcyb when four letters picked without replacement from {y: 4, b: 1, c: 4, t: 2}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) 0 (c) -1\/142 (d) 1\/4 (e) 1\/91\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1550, -3101, -4652, -6203, -7754?\nAnswer: -9305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7152235*r**5 - 3008580*r - 5 wrt r?\nAnswer: 143044700*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256 is divided by 65?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 324 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -40273867 - -3?\nAnswer: -40273864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u**2 + 5*u. Let h(n) = 7*n**2 - 5*n**2 + 5*n + 1 + 0*n**2. Let s(k) = 4*h(k) - 3*p(k). Give s(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/5 - 43*b**3\/5 + 557*b**2\/5 - 2033*b\/5 + 2166\/5.\nAnswer: (b - 19)**2*(b - 3)*(b - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/9 of a day in seconds?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -153 - -117 - (-33 - -3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 5477747?\nAnswer: 5477743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111109.\nAnswer: 111109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 148753 divided by 4.\nAnswer: 148753\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -10100 (base 2) in base 7?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 213, -11812 in decreasing order.\nAnswer: 213, -5, -11812","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 335\/45 - -1 - (-35 - -43). Sort -1\/2, -2\/5, g, -7, 0.5 in increasing order.\nAnswer: -7, -1\/2, -2\/5, g, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4364958 a multiple of 214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-696)\/20)\/(2\/20). Let g be o\/(-462) - 2\/11. Determine m so that 2\/7*m - g*m**2 - 2\/7*m**5 + 4\/7*m**4 + 0*m**3 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(1\/2)*j)\/(j*j\/(j*j\/(j*j**1)*j)*j))\/(j**(-2\/5)*j*j\/(j*j**(1\/9))*j) assuming j is positive.\nAnswer: j**(-89\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/10, 0.4, -4\/25?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 36*u + 6. Let d be f(4). Calculate the highest common divisor of d and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = 7 - 27 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2*sqrt(189) + sqrt(189) + -5*sqrt(21)*-2)\/(sqrt(35)\/(sqrt(55)\/(sqrt(33)\/sqrt(3)))) + -5.\nAnswer: -3 + 19*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-20))\/r*r**(1\/12) assuming r is positive.\nAnswer: r**(-239\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 36\/(-30)*(-40)\/6. Let n(u) = -10*u - 1. Let p be n(-2). Let q = t + p. Is q a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -195*b*t**3 + 138*b - 3*t wrt t.\nAnswer: -1170*b*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1517, 0, 2, 9270, -1.\nAnswer: -1, 0, 2, 1517, 9270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*n**2 + 2*n - 443*n**3 + 151*n**3 + 65*n**3 as z*n + t + i*n**2 + p*n**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 11*x**2 + 4. Let p(t) = t**2 + 6*t - 11. Let u be p(-8). Let r(d) = d**2 - 7*d + 7. Let n be r(u). Is s(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35*-23.\nAnswer: 805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 588843591.\nAnswer: 3, 7, 43, 179, 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - y - 3)*(-25565 + 25565 - 143*y)*(-4 + 6 - 4) + 2*y - 2*y - y**2 as k*y**2 + f + x*y and give k.\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.82082g in nanograms?\nAnswer: 44820820000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -144745.319241 + 145516.31924507. Let v = -771 + x. Round v to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 4*k = -0*k, -30 = -5*t - k. Suppose 0 = t*y - 9 + 4. What are the prime factors of (418\/(-88))\/(y\/(-4))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15279?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3173041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-52)\/442 - 19\/(-17).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 - 225*j - 1379. Calculate l(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5079 + 5093. Solve -3*t = w - 26 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*t**3 + 64291*t**2 - 1097770.\nAnswer: -12*t**2 + 128582*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 t, and 1 c when four letters picked without replacement from {p: 2, i: 4, s: 1, c: 5, t: 2}?\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.1 - 1. Let v = 30.9 + -30.8. What is the closest to i in 1\/7, 2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (33 + -1 + -14 - 37) + -2 + 10\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of j**6\/30 + 4*j**5\/15 - j**4\/2 - 12*j**3 + 3*j**2\/2 + 10. Let u(x) be the second derivative of r(x). Let u(y) = 0. What is y?\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + l = 20. Let s be (1 + -1)*(l + 3). Let p be -2 - -3 - 3\/2. Which is smaller: p or s?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*r - 81 = -44*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 25 = 5*n, 9*u - 5*u = -2*n - 20. Suppose -4*f - 4*p + 8 = n, -f + 4*p + 20 = 2*f. Solve f*o + 5 = -5*q - 13, 3*q - 4*o = 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*v - 2 - 6, 0 = 3*k - 3*v - 846. Calculate the remainder when 320 is divided by k.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 257655?\nAnswer: 2061240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.27 and 2611035757?\nAnswer: 2611035756.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1004 + 5484 = 35*s. Suppose -537 = 5*z + 2*j, 3*z - 2*j = -284 - 51. Let g = z + s. Calculate the remainder when 70 is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 126\/(-105)*((-150)\/51)\/(-10)\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 2*k**3\/7 - 29096904*k**2\/7 = 0?\nAnswer: 0, 14548452","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1*(sqrt(7)*-3)**2 + sqrt(28) + (sqrt(28) - (-1 + sqrt(28))).\nAnswer: -58 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004035770034 to five decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (9 - -4) + -12 + 10\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1262225183?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 87 + -89. List the prime factors of 1112\/7 + r*3\/(-42).\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + c**2 - c + 1. Let v(m) = -29*m**3 + 47*m**2 - 6*m + 6. Let f = -10 + 4. Let q(k) = f*j(k) + v(k). Find the third derivative of q(t) wrt t.\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.093 and 69306?\nAnswer: -6445.458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 divided by 317?\nAnswer: -27\/317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (1 + 2\/2). Let j = -0.03 + 0.1. Let k = -0.07 + j. Which is the closest to k? (a) s (b) 4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/7495 + 15024\/127415. Let d be -1 + 3 + 0\/(-3). Which is greater: d or q?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 2462?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -18578.2, 0.4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*f - 28467 + 62569 = 920*f - 61854 for f.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 12) to base 7\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -3*x**4\/4 - 2*x**3 + 4*x**2 - 5*x + 2. Is b(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -753054*g + 56. Give i(0).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 + 35. Let t = 12.0000058 - s. What is t rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*l + 128*l + 38 = 337 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 123370502 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 c = 1.397 - 1.3969088. Round c to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -q**5\/80 - q**4\/2 + 57*q**3\/8 + 2*q**2 - 14*q + 4. Determine z, given that g(z) = 0.\nAnswer: -19, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47907301 is divided by 7984547?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000020627 rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lp when two letters picked without replacement from {p: 7, l: 7}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 79 + 542b?\nAnswer: 54a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/24*(-6)\/21.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - 18. Calculate n(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 443*b - 4. Let q(r) = 1329*r - 15. Determine -7*j(w) + 2*q(w).\nAnswer: -443*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 0.335 (c) -2\/3 (d) 0 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*i + 48*i - 1392 = -41*i for i.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**2 + 10*a**2 + 2*a - 4*a**2 + 14*a - 4*a**2.\nAnswer: -a**2 + 16*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -298266798.12 + 1.\nAnswer: -298266797.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**2 + i + 1. Let s be n(-1). Which is the closest to -1? (a) -1\/2 (b) s (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26237140069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1382812 is divided by 691255.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (90 + 116 + 76)*(5 + 0 - 4)*(-c - c + 0*c).\nAnswer: -564*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*v + 93 = 2*h, 79 = h + 5*v. Let t be 3*12\/h - (-7)\/3. Let p be 88\/(-33)*t*(-2 + 1). Is p at least 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.2, 4, -2\/11, 57, 4\/5?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4350 (base 6) to base 10\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-11 - 10)*1\/(-3). Solve -2*o + i*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12032148.\nAnswer: 2, 3, 1002679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11934 - 10738. What is the highest common divisor of p and 368?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of m**2 + 3*m + 1. Let i(v) = -v - 1. Let x = -9 - -9. Let w = x + -3. Give w*p(s) - 8*i(s).\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -868\/15 - -58. Let m(p) = p**2 + 5*p - 5. Let y be m(-7). Suppose v = -4*d + 3*d + y, -12 = -3*v. Which is the closest to 0? (a) g (b) d (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-5)*-16*(-10)\/(-4)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(315) + (sqrt(315) - (sqrt(315) - (sqrt(315) + sqrt(315) + 2*sqrt(315)))*2))\/(6*(sqrt(320) - -1*sqrt(320))))**2.\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t - 3*t - 198. Let f = -247 - -49. Let b = t - f. Calculate the greatest common divisor of b and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, c: 6, o: 3}. Give prob of sequence eocc.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 9*u - 32. Let r be c(3). Solve -9*p = -r*p + 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z**2 - 2*z**3 + 0*z**2)*(-1757 + 1757 - 2111*z) to u*z**4 + p + g*z**2 + b*z**3 + n*z and give u.\nAnswer: 4222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 5*v**4 - 17*v**3 - 40*v**2 - 54*v + 6. Let o(a) = -a**4 + a**3 + a - 1. Let k(g) = 5*j(g) + 30*o(g). Factor k(d).\nAnswer: -5*d*(d + 3)*(d + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 758 divided by -3?\nAnswer: -758\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39813 or -39814?\nAnswer: -39814","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 3*z**2 - z + 2. Let c(b) = -b**2 - 1. What is -3*c(j) - g(j)?\nAnswer: -j**3 + j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**12*a\/((a*(a*(a*a\/(a*a**(1\/5)*a))\/a)\/a)\/a)*a assuming a is positive.\nAnswer: a**(76\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3, 5, -1\/379, -3\/2, 2\/5825?\nAnswer: -1\/379","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 15333214 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01585447559 to 6 decimal places.\nAnswer: -0.015854","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 530744763 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 5*t - 3. Suppose l = 2*j + 26, -2*j = -4*l + 3*j + 107. Suppose -l = q - 32. Let b(s) = -2*s + 2. Let f be b(q). What is m(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(252) + sqrt(35)\/sqrt(125).\nAnswer: 1 + 31*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -44 + -1 + 9 + (2 - -10)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 54074 divided by 5383\nAnswer: 54074\/5383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 8:31 AM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -1556*q + 54395. Calculate i(35).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*i - 25*i - i**2 - 2 + 48*i + 2*i**3 in the form s*i**2 + l*i**3 + h + z*i and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -6*h**2 + 3 - 2*h**2 + 6*h**2 + 4*h**2 - 2*h - 2*h**3. Let a(f) = 4*f**3 - 3*f**2 + 3*f - 5. Let v(u) = -3*a(u) - 5*m(u). Solve v(o) = 0.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 454 + -454.001. Let x = 21 - 187\/9. Which is greater: x or o?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10444?\nAnswer: 2, 7, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 299983 equal to 299994?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38*u*w**5 + 6*u*w**3 + 2*u*w**2 + 126*u*w wrt w.\nAnswer: 2280*u*w**2 + 36*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 338694949 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14020 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3370145 meters to nanometers.\nAnswer: 337014500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 278817?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-6))\/(6*(-598)\/(-207)). Is d smaller than 6\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 - -7. Let i(t) be the first derivative of t**3\/3 - 2*t**2 - 2*t + 3. Is i(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-13 + -1)\/((-11)\/11). Suppose -2*h + a = -2*v, 3*h - 22 = 5*v - 7. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 5*q = -85 - 62, 0 = -5*n - 4*q + 693. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2054 (base 12) to base 2.\nAnswer: 110111000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 14*u + 88. Let c be j(-19). Let l(x) be the second derivative of -x**5\/20 - 7*x**4\/12 - 6*x. Determine l(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 4*h - 13 = 15, 0 = -3*h - 6. Suppose -f*s + 15*s = 0. What is the closest to 1 in 1, 2\/9, s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*v**3 - 5*v**3 - 7*v**3 + 2*v to the form h + r*v**3 + l*v + f*v**2 and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**2 - 3 + 3*w - 6*w**3 + 4 - 2 to k*w**2 + j*w + a + r*w**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3570*i**2 - 135*i - 405. Let k(a) = -105*a**2 + 4*a + 12. Determine -135*k(j) - 4*t(j).\nAnswer: -105*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h - 98608 = -5*k - 6*h, -k + 19724 = -h. List the prime factors of k.\nAnswer: 2, 9859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5175 + -52.\nAnswer: 5123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10 and 4298.\nAnswer: 42980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20604\/198 + 2\/3. Let p = o + -1699\/22. What is the common denominator of p and (1\/20)\/(8\/70)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9766 - 9768. Which is the smallest value? (a) g (b) -2\/31 (c) 6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/10*(-440)\/(-396).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + -3 + 1 + (-7 - (4 - 69))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 38821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 3680 to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23477 = -7*r + 9206. What is the thousands digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.3 (b) 0 (c) 3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 92 = 2*t, -t + 1 - 3 = 0. Let m be a\/(-120) + 42\/5. Calculate the greatest common factor of m and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*d - 6*d**2 - 2*d)*(4*d**2 + 9*d**2 - 10*d**2) in the form r*d + v*d**2 + c*d**3 + w + q*d**4 and give q.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -492 + 657. Let h(j) = -147*j**2 - 336*j - 576. Let s(x) = -9*x**2 - 21*x - 36. Let r(i) = w*s(i) + 2*h(i). Factor r(q).\nAnswer: 3*(q + 3)*(q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*b**2 + 10*b - 7*b**2 - 11*b - 13*b**2 + 2*b**4 + 8*b**2 in the form l*b**2 + r*b**3 + y*b + k*b**4 + w and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 84591\/585 - 4\/(80\/12). What is the highest common divisor of 7272 and x?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57844062 a multiple of 685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9973975122*a**2 + 9973975122*a**2 - 3*a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n + 2*n - 10 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -16\/79 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1051 divide 3612287?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 - 8*l - 7. Calculate the remainder when 6 is divided by w(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -314 (base 8) to base 9.\nAnswer: -246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1707 and 4371627.\nAnswer: 4371627","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 3*n - 2*j, 0*j + j - 1 = 0. Let t = 0.9 - 1. Is t < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**4 + 4*l + 141 - 3*l**2 + 1474*l**3 - 69 - 1474*l**3 - 5*l to x*l**3 + p*l**4 + s + h*l + t*l**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 + 5 = 3*f + 4*v, 3*v + 39 = -3*f. Let x be (-3)\/(f\/8) - 2. Let u = -0.3 - -0.2. What is the closest to -1 in u, x, 1\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 701271297 and 2619.\nAnswer: 2619","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28925717 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**3 + 7*h**2 + 18*h = 0. Calculate h.\nAnswer: -2, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -23, -3.\nAnswer: -23, -4, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -i + 4 + 3, -3*f + 3*i + 9 = 0. Suppose -5*g - f*q = 3*q - 40, 5*g + 2*q - 31 = 0. Solve -3*l - 6 = -g*a, 3*a + 2*a - 2*l - 4 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - (94\/16 - 5\/(-40))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kl when two letters picked without replacement from lkkklklkllkkkkkkkkk.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*t + 12 = -2*t, -5*t - 29 = -j. Suppose 3*i + j*f = 22, -2*i - 4*f + 34 = 3*i. Calculate the smallest common multiple of i and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3197 - 7*a**4 - 14*a**4 + 3249 with respect to a.\nAnswer: -84*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence opu when three letters picked without replacement from uppop.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 8:06 AM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -43 (b) 2\/37 (c) -10 (d) 1\/4 (e) 4.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4505?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 131723 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 788539?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 53398\/22 + (-136)\/748 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2690236272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1\/4, -3\/2, 3, 27?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 178*y. Let a(b) = 13*b**2. Calculate a(c(g)).\nAnswer: 411892*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 - -1 - -18) + (59 - -29)?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -775454, -775563, -775670, -775775?\nAnswer: -775878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4238 times -924\nAnswer: -3915912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -946*f + 946*f + 1276*f**2.\nAnswer: 1276*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.01 + -0.09. Let g = -2.1 - q. Let z = -5 - g. Which is the biggest value? (a) -1\/7 (b) z (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -7*p + 4. Let w be ((-2)\/2)\/((-2)\/(-30)). Suppose -4*z = -5*z. Let b(g) = -8*g + 4*g + 15 + z - 23*g. Give w*j(n) + 4*b(n).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*q - 7*q - 4. Suppose 5*s - 83 = q. Suppose 0*k - 3*k + 16 = -u, 3*k - 2*u - 17 = 0. Solve -5*g + k - s = 4*w, -w - 5*g - 18 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p - 2*p - 2*p**2 + 6*p - 1 in the form r*p + h + q*p**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/5)\/((-2)\/(-5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 519, 2191, 5139, 9495, 15391, 22959?\nAnswer: 32331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 525923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111020102 (base 4) to base 12.\nAnswer: 42102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.14 (b) 3 (c) -0.4 (d) 2 (e) 2\/3 (f) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -5*y + 52 - 30, 2*y = -5*i + 24 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -491 - -694. Let g = w + -203.0000099. What is g rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -64307, -128598, -192889, -257180, -321471?\n\"Answer: -64291*b - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 18\/240*(-59)\/(1062\/108)\nAnswer: -9\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/a**(-3))\/a**(-2\/3)*a**(-2\/13)\/a**(-2\/5))\/(a*a**(-1\/6)*a**(-6))**10 assuming a is positive.\nAnswer: a**(11228\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*d - 3*d. Suppose -d*j + 6 = -j. Suppose 66*l - 69*l - 12 = 0. Sort j, -2, l in decreasing order.\nAnswer: j, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 3*p + 4*p - 3*p - 1. Let z be f(3). Suppose -18 = -z*g + 162. Calculate the greatest common divisor of g and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 595322 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*f - 45 = -88*f. Let v be 11\/1 - (-13 + 12). Solve 5*h - f = v for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-20)\/16) - 1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-88) - (-63)\/(-1617).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1594, 3020, 5398, 8728, 13010?\nAnswer: 18244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/45 and -73\/459.\nAnswer: 2295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -10000002 (base 4) to base 3\nAnswer: -211110220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + (-39 - (-50 - -54))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w*w**(-1\/3))*w*w*w**(-18)*w*w*w**(-18)*w*w**21 assuming w is positive.\nAnswer: w**(-29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 6*s**3 + s**2 + s - 1. Let u be (-1 - 0) + 1\/(-1). Let d be (1\/u)\/((-2)\/4). Does 7 divide t(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 280 = 3*a + 2*u, 0 = -3*a + 4*u + 75 + 193. Is 32 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31542 (base 9) in base 8?\nAnswer: -50567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29*j**2 - 647*j + 647*j)*(-3*j**3 + 130*j + j**3 - 145*j).\nAnswer: 58*j**5 + 435*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -7. Let j be c\/(-4)*80\/(-10). Solve -3*g - 20 = -a, 4*g + g = -j*a - 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 80\/(-15) - 1\/(-3). Let v(q) = -2*q**2. Let t(s) = 2*s**2. Let n(k) = g*v(k) - 4*t(k). Let m(x) = x**2 + 3*x**2 - 7*x**2 + x**2. Calculate n(m(f)).\nAnswer: 8*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of 5*f**5 - 105*f**4\/2 - 20*f**3\/3 + 420*f**2 - 320*f + 596. Let x(j) = 0. What is j?\nAnswer: -2, 2\/5, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222 = 36*m + 150. Solve -19*n - 21 = m*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from ehehehehjhhehhehehh?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89636 is divided by 9951?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 - 30*m + 236. What is the remainder when n(12) is divided by -20*(9\/(-6))\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1261, -1262, -1263, -1264, -1265?\n\"Answer: -f - 1260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 525, 506, 483, 462, 449, 450, 471, 518?\n\"Answer: w**3 - 8*w**2 - 2*w + 534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 990439969, 990439968, 990439967, 990439966, 990439965, 990439964?\n\"Answer: -q + 990439970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 2)*(-8*r - 16 + 16)*(909 - 70 + 487 + 24).\nAnswer: 21600*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 to the power of 1\/2, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/(176\/(-197)))\/((-182)\/(-108)). Let u = 2\/143 - d. Calculate the common denominator of u and (-3)\/(-12) + 65\/(-16).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/67408 and 15\/3064.\nAnswer: 67408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92 divided by 92.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h**3 + 3*h + 1. Let z be s(4). Let k = -45 + z. Let u(r) = 2*r + 4. Let g be u(14). Calculate the greatest common factor of g and k.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*q**3 + 14*q**3 - 17*q**3.\nAnswer: -45*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 9*o**2 - 1. Let q be r(1). Let i(u) = -u**2 + 10*u - 12. Let p be i(q). Suppose 2*h - 10 = 4*v + 6, 5*h + p*v + 2 = 0. Solve 0*f = h*f - 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -349.48826 + -0.5?\nAnswer: -349.98826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 0.5, -10, -0.4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1845\/4 + -34943\/76. Which is smaller: 0 or k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000010445484 to 6 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -20*o**3 - 2*o**2 - o - 3. Let y(c) = c**3 + c**2 + 1. Give s(d) + 3*y(d).\nAnswer: -17*d**3 + d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -4*t**3 - 5*t**2 - t + 3. Let h(q) = 7*q**3 + 9*q**2 + q - 5. Suppose -u - 7 = -5*s - 2, -25 = 5*u + 3*s. Give u*v(z) - 3*h(z).\nAnswer: -z**3 - 2*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2 + 4 = 0. Let t(a) = -28*a - 6. Let l(f) = 671*f + 143. Let w(y) = r*l(y) + 143*t(y). Let i(b) = -2*b**2. Determine w(i(z)).\nAnswer: -44*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (7\/(455\/234))\/(3 - (-838)\/(-280))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 478 - 0. Is 58 a factor of o*(-23)\/(-12) - (-2)\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12120002212 - -100002?\nAnswer: 12120102221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 74 - 60. Is b >= 0.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -8982 + 9206 - 9*l - 6*l. Calculate r(15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (28\/22)\/((-16)\/(-7)) and (19\/20 + -2)*(-3015)\/(-402)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 114*d + 118*d = -4, -3*z + d = -1 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 0 + 3 + p**3 - 2*p - 5 + 0. What is the tens digit of l(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63, 92, 127, 156, 167, 148, 87?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**3 - 180*y**2 - 162*y - 1822. Calculate r(91).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(3 + -2 + (3 - 3)). Let q be 46\/15 + m + (-630)\/378. Let g = 4\/7 - 23\/28. What is the smallest value in q, -0.3, g?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2376707\/19 + 125299. Let s = p + -209. Let j = -2066 - -2066. Is j smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -192 - 8df0?\nAnswer: -8f82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2470.0332 months in millennia?\nAnswer: 0.2058361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 16*m = 84. Suppose -2*r + 26 = -5*f + m*f, 0 = 2*f - 5*r - 47. What is the remainder when 79 is divided by f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3 + 0 - 119\/3*i**2 - 20\/3*i.\nAnswer: i*(i - 20)*(6*i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 29*r + 762 = -24*r, -3*u - 2*r + 1121 = 0. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x - 47. Give q(-9).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12534898?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3304140322 + -2?\nAnswer: -3304140324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*h = 10*h - 26 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a**3 - 223*a**2 + 552*a - 35698. Calculate c(74).\nAnswer: -326","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n + 1 + n - 3*n. Let q be m(2). Let g be q\/7*(4 - 2). Which is the nearest to -0.1? (a) g (b) 0 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*r = -94*r + 1935. Solve -12*v = 3*v + r for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1589 equal to -1589?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 387 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**5 + 80*x**4 - 22054*x**3 + 679764*x**2 - 1293696*x + 635904 = 0 for x.\nAnswer: -138, 1, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -50699, -101368, -152037, -202706, -253375?\n\"Answer: -50669*m - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -12085537, -12085533, -12085529, -12085525?\n\"Answer: 4*x - 12085541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 493\/9 + -55. Let x = -39 + 64. Let n = 49\/2 - x. Which is the biggest value? (a) q (b) n (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-51))\/(810\/(-1215)).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-one fifths of a micrometer?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010110100011 - -111001110011?\nAnswer: 10010000010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 1. Let r = x - -8. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 4:26 AM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*x = 38*x - 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2*o**2 + 3)*((2 - 2 - 2*o)*(-1 - 1 + 5) + 0 + 3*o - o + 2) to g*o + f*o**2 + l*o**3 + i and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14505079 + 7454079. What is w rounded to the nearest 100000?\nAnswer: -7100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 3*d = -2 + 14, -5*m + 2*d = 8. Solve m = j + j + 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 7*b**2 + 1240*b - 3597. Determine c(-180).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15*g**3 + 2*g**4 - 14*g + 6*g**3 + 5*g**3 + 30*g**2 - 14*g**3.\nAnswer: 2*g*(g - 7)*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -3*s**3 - 2*s**2 - 9*s - 37. Give x(-3).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -880 divided by 176\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 4056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -3.000021. Round p to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 + -15. Suppose 0 = a - 5*x - 0 + f, 8 = -2*a + 5*x. Is (1 - -1) + 0\/a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258337903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 7. Let h = 3.2 - t. Let i = -0.10043 - -1.10043. What is the second biggest value in i, h, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/11, 3, 4, -3?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/26)\/(-8 + (-90)\/(-12)). Sort 0.3, -1, 9, k in decreasing order.\nAnswer: 9, 0.3, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7111 and 217443987?\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -250 (base 12) to base 6.\nAnswer: -1340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 8. Let a be 0 - (12\/16 + t). Factor 0*x + 1\/4*x**2 + a*x**4 - 1\/2*x**3 + 0.\nAnswer: x**2*(x - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 13) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(-18)*(-16)\/84\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*n + 2557*n**2 + 2*n**4 - 2462*n**2 + 40*n**3 + 28*n - 7*n**4 = 0. What is n?\nAnswer: -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -615 + 871. Let d = -252 + r. Calculate the least common multiple of 2 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -8*m - 64. Let x(g) = -g**2 - 12*g + 18. What are the prime factors of x(m)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9944\/9 - ((-16)\/(-18) + -1)?\nAnswer: 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 141b - -2?\nAnswer: 1421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 PM and 5:29 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 + 11 + 6*s - 4*s + s + 0*s + (4 - 4 - 2*s)*(-2 + 3 + 3) - 3*s + 7*s + 3*s in the form v*s + t and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-63)\/84 + 34138\/56. Let i = -608 + w. What is the smallest value in -5, -0.4, i, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -34 (b) 1 (c) -2 (d) 536 (e) 5 (f) -0.5 (g) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11211, 11197, 11183, 11169?\nAnswer: 11155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 AM and 5:55 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17347027 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-754 + 407 + 446)*(20 + 31*w**3 - 20).\nAnswer: 3069*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 18*r**2 - 198*r - 15. Give i(11).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 12*n**2. Let h(o) = -21*o. Calculate h(m(v)).\nAnswer: -252*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*c = 21*c - 20 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**(-8)*((x\/x**2*x)\/x*x)\/x*(x\/(x\/x**(-1\/4)))**(-17\/2) assuming x is positive.\nAnswer: x**(81\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -3\/4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 l when three letters picked without replacement from {d: 2, c: 2, l: 9}?\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffk when three letters picked without replacement from ffffkk?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/6)\/7*10*(-108)\/(-990)*-2?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 16) to base 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34 + -208. Let h = l + 173.9999859. What is h rounded to 6 dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -7.2, -3\/2, 4\/939.\nAnswer: -7.2, -3\/2, 4\/939, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -102, 609 in increasing order.\nAnswer: -102, -4, 609","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 9*n**2 + n + 22. Calculate the smallest common multiple of s(-3) and 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 744*d - 723*d = -189 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/2)\/((-12)\/16). Suppose 20 = 5*s, -u + x*s - 26 = -4*u. Is 19 a factor of 2\/3 + 194\/u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1592.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**5\/6 + a**4\/6 - 17*a**3\/6 + 19*a**2\/6 + 8*a\/3 - 10\/3 = 0.\nAnswer: -5, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0 = -4. Let r = 3 + c. Let z = 9 + r. Solve -3*a = -z*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -827*c**3 - 1214*c + 324773 wrt c?\nAnswer: -2481*c**2 - 1214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2*sqrt(170) + sqrt(170)))\/(sqrt(10) - 1*sqrt(160)) + -4.\nAnswer: -sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 237\/24 - 3\/(-24). Suppose 6*l + 4*f + 36 = o*l, 2*f = -10. Solve -5 = 5*j - 2*x, j = -l*j - 3*x + 20 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34241?\nAnswer: 97, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 8169.976 years?\nAnswer: 81.69976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-7))\/l)**0\/(l**(6\/11)\/(l*l**(-4\/9)*l)) assuming l is positive.\nAnswer: l**(100\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d - 32303 = 10*d - 3*h, 2*h - 10 = 0. List the prime factors of d.\nAnswer: 2, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 82 - 602 = 5*j, 0 = -4*f - 5*j + 877. Let x be 223\/3*-1*-3. Does x = f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*i - 77 = -28*i. Let w = i - -77. Suppose -3*g + 4*g + 2*g = w. Solve 2*v - 4*d = -18, 1 + g = v + 3*d for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1417948\/3 - 472633. Factor -j - 1\/3*q**2 + 14\/3*q.\nAnswer: -(q - 7)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3925 is divided by 119?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.03 - 1.83. Let l = -1.789 - f. What is l rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -3*o + 61. Find the first derivative of -27 - o*j**3 + 7 + 39*j**3 - 19 wrt j.\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 + 64*j + 681. Is 51 a factor of k(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 54 - 53. Let i be 1615\/(-200) - (0 + o\/(-5)). Which is bigger: i or -8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -12*z - 24. Let t be g(-2). Suppose 7*j - 208 + 110 = t. Suppose 0 = 2*h - 26 - 22. Calculate the remainder when h is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6376619mm to kilometers.\nAnswer: 0.0000006376619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.7820006325 - -0.782. Round k to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**30)\/p)\/(p*(p**28\/p)\/p) assuming p is positive.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4783 is divided by 133.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0232 + -0.2288. What is the smallest value in -1, 0, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.473*-410\nAnswer: 193.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 175*l - 164*l - 55 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197*l = 61*l - 2838 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39600 and 325908?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 74 and 97?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -172.6541 + 189873?\nAnswer: 189700.3459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 107505 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.4, -299215, -11 in descending order.\nAnswer: 2, 0.4, -11, -299215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*b + 21. Suppose 2*i - 38 = -2*m, m - 5*i - 9 = b. What is the remainder when 89 is divided by m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/(-2))\/(3\/(-6)). Let z(l) = -l + 4. Let q be z(2). Let f be (1\/q)\/(0 - -2). Which is the third smallest value? (a) f (b) 5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g - 36. What is the common denominator of s(-7) and 79\/(-15) + 4\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 9 - 4 + p**2 - 8*p - 11. Let s be b(-7). Let v = s + -31. What is the greatest common factor of 170 and v?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 29a13c - -69?\nAnswer: 29a1a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = 6*t + 182 - 236, 3*h + 2*t = -46 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-54)\/(-21))\/(22\/77). Solve -58 = c*m - 13 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/2)\/((-2)\/240). Let x be (-9)\/(-6)*-1*c. Is (2 - x) + -1 + -2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 2*k + b, -24 = 4*k - 2*b - 30 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 68767573 to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 u when two letters picked without replacement from {v: 3, r: 2, g: 6, u: 3, j: 4, w: 1}.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 293.\nAnswer: -1\/293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 1362 divide 398052693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 108, 29, -102, -285, -520, -807, -1146?\n\"Answer: -26*b**2 - b + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -108 or -105?\nAnswer: -108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 725752 is divided by 664?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2495351?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 47 + -44. Suppose 5*g - 261 = -4*b + 2*g, 217 = n*b - 2*g. Let x = -47 + b. Is 6 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q + 5*n - 0*n - 40, -5*q + 5 = -2*n for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 9 (b) 5 (c) 0.3 (d) -18995\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-6*(sqrt(13) + -1)**2*-4.\nAnswer: -1344 + 192*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 39770143491.2.\nAnswer: -39770143489.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 487263857?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1a (base 15) to base 14\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**2 - 4*h**2 + h**2 + (-11*h + h - 8*h)*(1 + h - 1).\nAnswer: -20*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -685606039 plus 9?\nAnswer: -685606030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -89, -177, -303, -473, -693?\nAnswer: -969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -191.4 + 183.4. Let x = -4.7 + -0.3. Let p = x - y. Sort -1, -15, p in descending order.\nAnswer: p, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-2))\/((-1)\/(-12)). Let o = a + -2. Suppose o*b - 2*q - 64 = -0*b, 2*b - 4*q = 20. What is the highest common divisor of b and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2056869 is divided by 171391?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 36.11 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (81 + 456*a - 909*a + 452*a)*(-a + a - 2*a**3) to the form z*a**3 + v*a + n + d*a**2 + p*a**4 and give z.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 3, 9, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 6:07 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -35642*n - 11787?\nAnswer: -35642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + r)*(4 + 6*r - 4)*(0 - 2 - 5) + 2*r**2 + 2*r**2 - 3*r**2 + (r - 3*r + 0*r)*(-3*r - r + 0*r).\nAnswer: -33*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of 397*v**4\/6 - 206*v**2 - v - 2356. Differentiate i(b) wrt b.\nAnswer: 1588*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 8.7.\nAnswer: -1.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -414 plus -0.13?\nAnswer: -414.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 452001502.9999967 - 452001551. Let y = 1.04 - -46.96. Let d = y + p. Round d to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -39 + 54. Solve 2*t = -m*f - 0 - 1, -3*f - 17 = -2*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -18, -15, -12?\n\"Answer: 3*i - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -2*f - 6, 4*v + 11 + 5 = -2*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 16*g**2 + 14*g + 15. Let h be b(15). Let p(x) = -x**2 - x. Let r be p(h). Let u(i) = i + 5. Calculate u(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jmjqmmfjmfii. What is prob of sequence ij?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -45*g**3 - 4*g**2 + 31*g + 1. Let k(h) = 2*h**3 + h**2 - 10*h. Give -3*k(l) - o(l).\nAnswer: 39*l**3 + l**2 - l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*o**3 - 21*o**3 + 19*o**3 - 28*o**3 + 10*o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 21\/14 - 1074\/(-4). What is the highest common factor of 360 and k?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8\/31 (b) 15 (c) -11 (d) -3\/4 (e) -0.5 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-12 - -18) - -10 - 5.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -8. Let u = -12 - -23. Suppose 3*k + 5 = -4*q, n*k = -3*k + 4*q + u. Solve -w = 5*c - k, 4 - 19 = 5*c + 5*w for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}