diff --git "a/data/dm_maths/full_data/10537_11255.jsonl" "b/data/dm_maths/full_data/10537_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10537_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Is 220291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/52932 and 97\/2723592?\nAnswer: 29959512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 245 = y, 3*x - 2*y = -x - 246. Let l = -56 - x. Suppose -l*k = 5, 3*k + k + 135 = m. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -65 + 108. Let y = s - 27. Does 11 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-38)\/(-6))\/(9\/(101 - -7)). Suppose 0 = -3*z - 5*p - s + 219, 5*z - 3*p = 227. Is z a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 != 51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 30710 to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.9 - 59.9. Let f = 47.6 + y. Round f to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*v**3 + 3*v**2 - 10*v**3 - 1 - 10*v**3 + 17*v**3 to the form n + o*v**3 + c*v + r*v**2 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*w + 9*w = 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 8:21 PM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 24*o - 15 = -29*o, -20 = -5*t - 2*o. Solve t*a + 17 = 7 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*c + 25 = 65. Let t be (-5)\/c - 20\/(-40). Suppose f**2 + 0 + 1\/2*f**t + 1\/2*f = 0. Calculate f.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5698773*b**6 + 2*b**2 + 8*b - 137892 wrt b.\nAnswer: 683852760*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.89576183 rounded to 3 dps?\nAnswer: -0.896","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4440.\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*m = -7*m, 0 = -5*o - 4*m. Which is the third smallest value? (a) o (b) -21 (c) -1 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 1522 + 128 = -2*d, 0 = d + 4*n - 697. Calculate the greatest common divisor of d and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i + 19. Let w be f(7). What is the highest common divisor of 3 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 329808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13982 is divided by 177?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 5:58 AM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9373203 is divided by 128.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 9:58 AM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/78790 and -133\/866690.\nAnswer: 866690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*a + 2. What is the units digit of ((-24)\/60)\/(a\/(-470))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a8adc9 (base 15) to base 7\nAnswer: -125205306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**5 + 846*l**4 + 19976*l**3 + 27048*l**2 - 1270528*l + 1222656 = 0. What is l?\nAnswer: -398, -16, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2374*h + 2367*h = -88298. List the prime factors of h.\nAnswer: 2, 7, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of 7\/9*a**3 + 1\/6*a**4 - 7\/30*a**5 + 0 - 3*a + 2\/3*a**2 - 1\/9*a**6. Let f(g) = 0. Calculate g.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 121*r**2 - 669*r + 676. Determine c(1).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18\/8 - 1\/4. Suppose k*d = -1 + 11. Let l(w) = 141*w + 434. Let q be l(-3). Solve d + q = 4*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 175 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 103422 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z = 24*z. Let j = 6 + -4. Sort 3, j, z in descending order.\nAnswer: 3, j, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j = 335*x - 332*x + 18, -15 = -5*j - 5*x for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -494*c**2 - 10 + 987*c**2 - 485*c**2. Let f(p) = p**2 + 3*p. Let u(v) = 3*b(v) - 3*f(v). Determine d, given that u(d) = 0.\nAnswer: -1, 10\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.77 + 1.47. Which is the closest to 2? (a) 8\/11 (b) -0.5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149223.\nAnswer: 3, 49741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of 4*a**3\/3 + 1. Let i(r) = r + 2. Let s(u) = -2*u - 5. Let o(z) = -5*i(z) - 2*s(z). What is v(o(c))?\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.2 + 11.8. Let h = -15.25 + c. Round h to one decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1043 - -1026. Find the common denominator of -65\/84 and (4046\/12)\/o + 5.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -3\/4 - 45\/4*j**2 - 39\/4*j**3 - 3*j**4 - 21\/4*j = 0.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/7)*n**28*(n\/n**(1\/62))**(-3\/8))**(-13) assuming n is positive.\nAnswer: n**(-1260051\/3472)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000696329855 to 6 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*g + 5*g - 109*g + 29*g = 10050 for g.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 10160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 356 and 5423126.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 225 - 219. Let w = 94 - 472\/5. Which is the closest to w? (a) 5 (b) x (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15666*n - 1687 - 9313 - 2*n**2 + 7834*n + 7832*n in the form u*n + s*n**2 + d and give d.\nAnswer: -11000","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 329 + -2264\/7. Find the common denominator of l and (3\/20)\/(2\/(-95)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/11, -0.3, 1.6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19942947 - 2952.\nAnswer: -19945899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, x: 2, c: 7, f: 2, s: 2, t: 2}. Give prob of sequence cftx.\nAnswer: 7\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -10661642\/41 at least -260040?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 12 and 4257?\nAnswer: 4245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c - 18. Calculate d(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 131687230603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) -0.2 (c) 1\/7 (d) -26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 3124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*8\/240*-5.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 1. Suppose x = -i + 3. Suppose i*z = -2*z + 70. Is 14 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61330 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 214061 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -5*j + 5*d + 12, 5*j = 4*d + 4. Suppose -j*z - 17 + 65 = 0. Which is smaller: z or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, h: 7, u: 8, a: 1}. Give prob of picking 1 a, 1 n, and 1 u.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 14*f + 7. Let p be n(13). Let r(q) = -q**3 - 7*q**2 - 8*q - 8. Give r(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14723248 to the power of 1\/3, to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.45*21.9\nAnswer: 9.855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/5 (b) 1\/2 (c) 2 (d) 1151 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -4*o**2 - 2*o + 5. Let c(d) be the third derivative of -d**5\/60 + d**3\/6 + d**2. Let y = 57 - 58. Let i(h) = y*a(h) + 5*c(h). Factor i(m).\nAnswer: -m*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -4*i**3 + 19*i**2 + 11*i - 30. Let d be w(4). Solve 4*x = 38 - d for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1682088 divided by -560696\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 10. Suppose 5 + 11 = 2*p. Let j(f) = 7*f + 3. Let b(o) = 20*o + 8. Let g(t) = p*j(t) + w*b(t). Let u(q) = -13*q - 1. Give 7*g(i) - 2*u(i).\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18556019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 884139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1350 + -4049\/3. Sort i, 0, 48\/11 in increasing order.\nAnswer: 0, i, 48\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7816)\/(-120) - 4\/30. Let b = -40 + s. Is 12 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, k: 2}. What is prob of sequence tktk?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -4*a**2 + 45*a - 55. Calculate x(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h - 393 + 0*h + 12*h + 23*h + 393.\nAnswer: 39*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-54)\/6*((-35)\/(-7))\/5\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3*v**3 - 3*v**2 + 2*v + 4. Let z be a(2). Suppose -z*d = -8 - 52. Solve -4*p - 9 = d for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4290724 to the power of 1\/4, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 92 + -92. Suppose -3 = -2*q + 1. Suppose a = -2*u - 2*u + 4*k, 0 = -5*u - q*k + 28. Solve -u*n = -2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 120060 to the power of 1\/2, to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1524 + -1514.8445. Round h to 1 dp.\nAnswer: 9.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196836*t**3 - 66285*t**2 - 4557*t - 72 = 0. Calculate t.\nAnswer: -1\/4, -3\/47, -8\/349","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 5 + 0 - 4 + b + 3. Let r be w(10). Calculate the greatest common divisor of r and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -283*l + 176. List the prime factors of s(-17).\nAnswer: 4987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8041736 and -8311.\nAnswer: 8033425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 196146.2 litres in millilitres?\nAnswer: 196146200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 take away -0.3434?\nAnswer: -0.0566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) -1 (c) -0.8 (d) -17 (e) -59\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42 + (22 - 21 - 39) + -88 + (2 - 1)?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6172 is divided by 490.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 - 3 + (-2 + 4 - 1)*(-2 + 1 + 4))*(-5*n + n + 0*n)*(3 + 2 + 3).\nAnswer: 64*n","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-4)\/(-48))\/((-2)\/556) and 438\/254 - 312\/208.\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13632, 26031, 38430?\nAnswer: 50829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 366 + ((-8)\/(-1) - (11 + -8)). Let f = 381 - z. Let q(l) = l - 20. Calculate q(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -35435.46 and 30.\nAnswer: -1063063.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -45.84 and -61722761?\nAnswer: 61722715.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s + 6. Suppose -2*l = -l + n - 52, 0 = 2*l + 3*n - 100. Suppose -3*d - d = -l. Calculate the least common multiple of d and i(0).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4 - -3.4. Which is the biggest value? (a) k (b) 6 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of -4*d**3\/9 + 916*d**2\/3 - 209764*d\/3 - 3961. Factor m(v).\nAnswer: -4*(v - 229)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rvvkkkxkxvlrlkl. What is prob of picking 2 x and 1 v?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6*((1 - 1) + (-7)\/(-42)). Suppose -11*r + 6*r = 2*k + 2, -3*r - p = k. Solve 5*q - 2*s = s - 9, -4*s + 12 = r for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and 756.\nAnswer: 757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 2. Let i(v) = -v. Let r(z) = 6*z + 4. Let f(a) = -11*a - 9. Let w(p) = 4*f(p) + 7*r(p). Let s(u) = j*i(u) - w(u). Give s(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31 - 45. Do -14 and r have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 1\/3, -0.1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/22120 and -47\/5824?\nAnswer: 2300480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z**3 + 11*z**2 - 31*z - 30. What are the prime factors of k(-8)?\nAnswer: 2, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 430127?\nAnswer: 463, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 964, -1, -11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 8*k - 4. Suppose 4*b = 5*x + 55, x - 60 = 6*x - 5*b. Let a be z(x). Let u be (-6)\/4*(-30)\/9. Which is bigger: u or a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 906\/7 + -129. Suppose -4*x = -t - 187, 2*t - t + 202 = x. Let k be (69\/t)\/((-26)\/(-12)). What is the smallest value in w, 0.3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48020.06 rounded to the nearest 10?\nAnswer: -48020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 334*r + 1 = 5*a + 330*r, 0 = 4*a - 0*a - 3*r for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3782856.\nAnswer: 2, 3, 7, 11, 23, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16733189909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -8, 6, -2.1, 42, 0.18 in decreasing order.\nAnswer: 42, 6, 0.18, -2\/9, -2.1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -309*h + 8. Let q(c) = c + 3. Give i(n) - 3*q(n).\nAnswer: -312*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 1, -0.1, -3 in decreasing order.\nAnswer: 1, -0.1, -1\/6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-4) + 13*6\/(-504). Let j be (-2)\/(-6)*(10 + -7). Is d at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/6*1\/(21\/(-14))*-18?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*b - 563 - 453. Does 3 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**5\/9 - 124*t**4\/3 + 25106*t**3\/9 - 242048*t**2\/3 + 7620608*t\/9.\nAnswer: 2*t*(t - 61)**2*(t - 32)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2975*a**2*u**3 - 3*a*u**3 - 116*a*u**2 + 10*a*u wrt a?\nAnswer: 5950*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24.39 + 24.29. Which is the third smallest value? (a) -4 (b) h (c) -38 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - o - 11 = -6*h, 4*o + 17 = -h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -16800 divided by -800?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23*a**2 - 65*a + 65*a + (a - 5*a + 2*a)*(-a - 2*a + 2*a) + 2*a**2 + 2 - 2.\nAnswer: -19*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -9 + -6 + -1 + 4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bseessbxbses. Give prob of picking 1 b and 1 s.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 43 = -a, -4*a - 3779 = 5*v - 3915 for a.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 846 and 174341142.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6306 (b) -2\/13 (c) -2.9 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -74*z**3 + 4522*z**2 - 492*z + 230. Calculate m(61).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nl when two letters picked without replacement from {k: 5, l: 5, u: 1, t: 4, w: 3, n: 2}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5111125.\nAnswer: 5, 31, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30589?\nAnswer: 13, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14955 + -14892.466. Round s to zero dps.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12270338 (base 9) to base 13.\nAnswer: -1325807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1272)\/(-1431) + (-4)\/18?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 4*l**2 + 4. What is the remainder when 76 is divided by y(-2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -40 - -154. Let m = -98 + o. What is the least common multiple of 6 and m?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2061674 is divided by 515418.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -258 - 125*n + 258 as y*n + t and give y.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -510 - -506. What is the smallest value in z, -1\/8, -0.28?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gffg when four letters picked without replacement from {f: 9, g: 3}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 4, 381 in descending order.\nAnswer: 381, 4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*w + 11*w - 60. Let x be -2*(w\/(-6) + 2). Let t be 4 - 9\/(-3)*(-2 + x). Let j(i) = 5*i**3 - i + 1. What is j(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1255 (b) 4 (c) -21\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 divided by -10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2760*v**2 - 142*v + 3 - 165*v + 307*v)*(-v**2 - 2*v**2 + 5*v**2) to the form a + z*v**4 + h*v**2 + f*v + l*v**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 158, 303, 448?\nAnswer: 593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0062677878 to 5 decimal places.\nAnswer: -0.00627","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-3)\/(27\/(-117)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.33857 to 1 dp.\nAnswer: 4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -95*b + 88*b - 21 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -0.9, -5, -2839?\nAnswer: -2839","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -6*f - 5*o + 24, -3*f = 5*o - 102. Solve f - 9 = 6*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - -1)*(7 - -3). Suppose -c = 4*s - 4*a, -4*s - a + 0 = -5. Suppose s = 2*f - t - 130, -2*f - t - 2*t = -122. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + t - 8*t + 0*t = 2*f + 46, 5*f + 19 = -t - 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -650\/33 or -39?\nAnswer: -650\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1126180 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16355088 a multiple of 867?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 3*p - 5*i, 53*i = 4*p + 56*i + 12 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9588721.79 rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49819, 49824, 49831, 49840, 49851?\nAnswer: 49864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116716013*x**3 - 116718123*x**3 + 233434138*x**3.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/43*1\/(-3)*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 170 - 25. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 4. Let o = -58.94 - 0.06. Let d = 59.2 + o. Which is bigger: d or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2057, 3983, 5959, 7991, 10085?\nAnswer: 12247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 11*p. Let n(r) = 2*r**2 + 1312*r. Give b(n(t)).\nAnswer: 22*t**2 + 14432*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = u + 30 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -16364?\nAnswer: -16360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8791720 and 7033376.\nAnswer: 35166880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 116966 - 116974.6843. Let n = -1.3281 + s. Let f = n - -10. What is f rounded to three dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.2 (b) -30\/17 (c) 290\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**5 + 284*y**4 - 580*y**3 + 292*y**2.\nAnswer: 4*y**2*(y - 1)**2*(y + 73)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 - 8*w - 9. Let b be i(10). Let s(g) = g - 10. Let r be s(b). Let u = r - 2. Let n(y) = 3*y**2 - y. Calculate n(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, b: 2}. Give prob of sequence bbc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.8812892 to one decimal place.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0, -1, 342, 53.\nAnswer: -8, -1, 0, 53, 342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -33734720961 + -70.74\nAnswer: -33734721031.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*b**2 - 1071*b**3 - 14 + 30 - 15 + 216*b + 1073*b**3 + 7*b**2 to the form z + w*b**3 + g*b + l*b**2 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-6))**13)**(-8) assuming g is positive.\nAnswer: g**520","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1160258.3+-3113\nAnswer: -1163371.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8993534?\nAnswer: 2, 11, 31, 13187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10917 - -10913. Suppose 0 = -2*r - 4*t - 6, 2*r + r + 4*t + 3 = 0. What is the closest to r in -2, 4\/7, 3\/4, s?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -374.16*-132\nAnswer: 49389.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ijidqqjjjjiqcu. What is prob of sequence ici?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2029 from 0.4.\nAnswer: -2028.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/4 and 5 - 50*(-1)\/(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78684876 a multiple of 2196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-4)*132\/48015. Which is bigger: -1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2252*j - 23452 - 64850 - 47219 = 35631 for j.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30638*-0.5.\nAnswer: 15319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 106, 1, -2982, -13, -5, -4 in descending order.\nAnswer: 106, 1, -4, -5, -13, -2982","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7d86e6 (base 16) to base 9.\nAnswer: -16427613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 359668081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/((-594)\/(-12)) - (-138023)\/(-3519).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*g**2*v**3 + g**2*v - 1758*g*v + 39*v**5 + v wrt v?\nAnswer: -108*g**2*v + 780*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -150 + 258. Let a = -108 + k. Suppose -4*s + 6*s - 10 = a. Solve j + s = -3*g + 2*g, 4*j + 5 = -g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/3)\/(-4))\/((-8)\/(-96)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (105\/(-280))\/(13 - 256\/20).\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 0*r + 3 = -3*r, -2*a + 10 = 2*r. Let v(m) be the second derivative of m - 1\/9*m**a + 0 + 0*m**2 - 1\/36*m**4. Solve v(c) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/(126\/8))\/(-56 - (-13930)\/245). Which is the nearest to 0.5? (a) 5 (b) y (c) -12 (d) 4\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10774 - -25264. What are the prime factors of i?\nAnswer: 2, 3, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -646*s**2 + 80588*s**3 - 40290*s**3 + 52488 - 40296*s**3 + 51840*s.\nAnswer: 2*(s - 162)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2030004 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.2 - -3.4. Let g = 0.5 - 0.2. What is the nearest to 0 in k, 0, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z + 2. Let w(a) = 16. Let o(r) = -9. Let t(k) = 7*o(k) + 4*w(k). Determine -d(u) + 2*t(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -318622, -318601, -318580, -318559, -318538?\nAnswer: -318517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1\/7, 29, -1588 in decreasing order.\nAnswer: 29, 2, 1\/7, -1588","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x + 129. Let f = -7 - -7. Let a be h(f). Suppose -9*v + 12*v - a = 0. What are the prime factors of v?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/21 + (-3375)\/(-21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*i + 5*i - 16*i + 16*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 46 (b) -1 (c) 3\/8 (d) -2096\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1789 (b) 0.1 (c) 2\/13 (d) -4\/699\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -40121?\nAnswer: 40121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of 997*j**4\/3 - 5131*j**2\/2 - 15*j - 134. Differentiate r(g) wrt g.\nAnswer: 7976*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37155 to the power of 1\/2, to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of -5*y**4\/12 - 17*y**3\/6 + 99*y**2\/2 - 467*y. Differentiate l(u) wrt u.\nAnswer: -10*u - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-20) - (-52)\/(-5). Let r = h + 29\/3. Which is smaller: r or 0.06?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 817*r - 819*r + 10176. What are the prime factors of r?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7398.2 - -7398. Which is the second biggest value? (a) j (b) -3\/2 (c) -6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 - (3 - (37 - (28 + 135)))?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) - 3*sqrt(176)*-2) + (-5*(2 + sqrt(11) + -4))**2.\nAnswer: -72*sqrt(11) + 375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-43)\/((-903)\/2) + 11\/(-2772)*52\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - x - 229, -5*z = -2*x - 181 - 52. What is the remainder when 57 is divided by 1 + (-6)\/10 + 882\/z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -19, 7, 43, 89, 145, 211?\nAnswer: 287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -108 + 981. Suppose 0 = -9*f - 108 + z. Calculate the greatest common factor of f and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + -2*4\/(-8). Find the third derivative of -19*f**4 - 13*f**4 + 4*f**4 - 7*f**h - 21*f**2 wrt f.\nAnswer: -672*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of -83*c**5\/20 - 101*c**2 + c - 347. Find the first derivative of s(y) wrt y.\nAnswer: -249*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 42*w**3 - 3 + 3 + 4*w**3 + 0*w**3 - 5*w**3 + (w**2 - 3*w**2 + w**2)*(-w + 2 - 2) - w**3 + 4*w**3 - 5*w**3.\nAnswer: 40*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from wwwjjjjwjwwjj?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61, -57, -41, -7, 51, 139?\nAnswer: 263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 + 12*g - 16. Let f(q) = -q**2 + 13*q - 17. Let h(n) = 4*f(n) - 5*v(n). What is h(8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -10, t = -4*z + 9 - 29 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 4*p + 12, -2*p - 2166*d + 2168*d = 12 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 90 by 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r - r - 2*r)*(1 - 3 + 0) + (2 + 8 - 27)*(3*r - r + 6*r).\nAnswer: -140*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 231678 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3000, -81, 5, -2\/7 in descending order.\nAnswer: 3000, 5, -2\/7, -1, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/12 - 78\/8?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -8. Let n be (1 + k\/(-12))\/3. Determine t so that 1\/4*t + n*t**5 + 0 + 0*t**2 + 0*t**4 - 1\/2*t**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**2. Let z be p(-1). Let t = -6433 + 6659. Let y(d) = z*d - t - 231 + 466. Give y(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1742 and 338.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -53237 - -6441637\/121. Calculate the common denominator of o and -51\/110.\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35) + sqrt(315))*-2)\/((sqrt(105)\/sqrt(3))\/sqrt(7)).\nAnswer: -8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 41*j**2 - 35*j + 28. What is the tens digit of i(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/9*12\/(-2). Suppose -v - a*j = -22, 4*v + 0*j - 114 = -3*j. Suppose v = -2*i + 196. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-40)\/16)\/((-2)\/44) and 5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 92212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38 - 65. Let z be 92\/9 - (-6)\/j. Suppose 5*o + z = 25. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170 = -53*u + 27*u - 59*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -30 - 9*g + g**2 - 30 + 21*g + 31. Let d be y(-14). What is the common denominator of -101\/20 and (1\/(-32))\/(d\/138)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10901 - 1003*f + 10899 - 21798)*(3 - 2*f**2 - 3).\nAnswer: 2006*f**3 - 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/8*(443\/(-4430))\/(2*(-2)\/8).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*f = -66*f + 2520. Let t = f - -39. List the prime factors of t.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-324)\/63)\/(-12) - 17\/7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2052266668?\nAnswer: 2, 2339, 219353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9759?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from ttttttatttgggtggtttt?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n**3 + 3*n**2 - 6*n. Let s(x) = -2*x**3 + 4*x**2 - 7*x. Determine -6*o(a) + 5*s(a).\nAnswer: 2*a**3 + 2*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 130 and 190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 5)*((-17*j - 10*j + 3*j)*(3 - 3 + 2) - 33*j - 27*j - 24*j - 23*j).\nAnswer: -310*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 60, -3, 0 in increasing order.\nAnswer: -3, 0, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 5. Let n = 6920 + -6915. What is the third smallest value in n, p, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23001103 (base 5) to base 10.\nAnswer: 203278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -4*v + 8, -5*v - 5*o - 7 + 17 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - 2*i - 3. Let a be w(3). Suppose -3*k + 960 + 129 = 0. Let g = -358 + k. Solve 6*l - g*l = a for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*o**3 + 6581431 - 6581431.\nAnswer: 16*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 63 + 150 = 3*s, -284 = -4*s + 4*d. Calculate the lowest common multiple of s and 10.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -145807 (base 14) to base 5\nAnswer: -140104113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -f**3 + f**2\/2 + 3. Find the second derivative of a(t) wrt t.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 113 + -220. Let h = 219 + u. Is h a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224 - (468\/6)\/13 is divided by 52.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14136*-1.\nAnswer: -14136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.6 + 1.3. Let a = -0.4 - 1.3. Let t = h + a. What is the closest to t in 0.4, 1, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - (-492)\/(-20)) + 2 + 84\/(-60)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10036322 (base 7) in base 13?\nAnswer: -2321a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of n**2\/2 - n - 45. Let y(b) = 54*b - 48. Let a(c) = -12*f(c) + y(c). What is the derivative of a(t) wrt t?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 8:12 AM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (48\/(-8))\/(18\/4). Let f = -32.2 - -32. Sort q, 13, f in descending order.\nAnswer: 13, f, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/12)\/(-4)*3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*g**3 - 2558576*g**2 + 9*g - 298109.\nAnswer: -18*g - 5117152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -q + 49, -2*q - 27*i = -23*i - 122. Is 28 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39927\/5 + 8055. Let j = -70 + h. Is j greater than or equal to -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 3*y - 14, 3*j + 2*y = 1 + 9. Suppose -j = 8*t + 30. Is t greater than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1972 - -1867. Does 31 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -940 (base 13) to base 14.\nAnswer: -805","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 10) to base 5\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - 68\/24)*4. Suppose p*m**2 + 0*m + 0 = 0. Calculate m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2013*y**4 + 172*y - 172*y - 857*y**4 - 2793*y**4 + 1367 wrt y.\nAnswer: -22652*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9309530?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-1 - 0) - -10. Suppose 3*i - y = -i. Suppose 2 = -i*z + z. Put z, 0, -1 in decreasing order.\nAnswer: 0, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31732096 to the nearest integer?\nAnswer: 5633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-6*(((sqrt(85) + (sqrt(85) - (sqrt(85) - 2*sqrt(85) - sqrt(85))))*2 - sqrt(85)) + sqrt(85)))\/((2*sqrt(45)*4)\/(sqrt(36)*-5)).\nAnswer: -360*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*d**2 + 250*d**2 - 86*d**2.\nAnswer: 187*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((n*n**8)\/n)\/n*n)\/(n*n*n*n**(3\/7)))\/(n**(-4)\/(n*n*n*n**4)))**(2\/13) assuming n is positive.\nAnswer: n**(218\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8879.612mm to nanometers.\nAnswer: 8879612000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14.6 - -19. Let w = 27.5 + -23. Let x = p - w. What is the biggest value in x, -1\/3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -62107, -248559, -559353, -994489, -1553967?\n\"Answer: -62171*q**2 + 61*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 400.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2276772224 to the nearest integer?\nAnswer: 1316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2319004 and 1608.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -4 (b) -1 (c) -2\/31 (d) -1646 (e) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/10 + 4963\/35. Suppose u = 2*w - w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -531334 and -297?\nAnswer: 157806198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v - 4*k + 17 - 5, -k + 11 = -3*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -4. Suppose 0 = 2*w + 1 + u. Let l = 0.5 - 0.3. What is the third smallest value in -4, w, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of g**5 - 344*g**3 - 98*g**2 + g.\nAnswer: 60*g**2 - 2064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -72, -67, -60, -51, -40, -27?\n\"Answer: c**2 + 2*c - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 4*m = 6, -4*d + 4 = -4*m - 4. Suppose -3*x = -7 - d. Solve -k = -0*k + x for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 931\/3 + -310. Is d less than 3.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**3 - 87176*q**2 + 174340*q - 87168.\nAnswer: 4*(q - 21792)*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5669 + -1691?\nAnswer: -6cfa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 64*f + 4 + 4*f.\nAnswer: -60*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34*d*h**3*y - 2*d*h**3 + 10*d*h**2*y + 2*h**2*y + 3*h**2 wrt h?\nAnswer: 204*d*y - 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5818411670.\nAnswer: 2, 5, 17, 34225951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -7*t. Let y(k) be the second derivative of k**4\/4 - 29*k. What is y(v(m))?\nAnswer: 147*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1186974 (base 10) to base 3\nAnswer: -2020022020000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**3\/v*v*v**11\/v*v*v*(v\/(v**(4\/7)\/v)*v)\/v*v**(-2\/19) assuming v is positive.\nAnswer: v**(2171\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.07 - -4.07. Let p = 4 + -4. Sort p, 1\/5, t.\nAnswer: p, 1\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6120979092.\nAnswer: 2, 3, 79, 613, 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -0*q - 5*q + 11, q + 41 = 2*z. Let w(k) = -k**3 + 19*k**2 - 21*k + 70. Let o be w(z). Solve -2*v + 0*t + 8 = 2*t, 5*t - o = -3*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + k**4 - 3*k**4 - 7 + 3*k**3 - 2*k**3 as s*k**3 + l*k + o*k**4 + q + i*k**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + f)*(-6 + 3 + 2)*(5 - 5 + 1)*(f + 0*f - 3*f) to g + c*f + t*f**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 252 (base 8) to base 13.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 18*g + 5. Let q(t) = -9*t - 2. Let d(x) = -2*n(x) - 5*q(x). Suppose -174 = -7*s + s. Let y(k) = -s*k**2 + 14*k**2 + 17*k**2. Calculate y(d(u)).\nAnswer: 162*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 3*y + 0*y = -12, y + 4 = -3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -2. Let z = 21\/38 + -1\/19. Let j = -2.1 - -2. Sort j, v, z in ascending order.\nAnswer: j, z, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 262996074 to the power of 1\/2, to the nearest integer?\nAnswer: 16217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/13 in -21, -1\/2, -0.1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -83 + 14?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 21259, -5, 0.8, 1, -9 in increasing order.\nAnswer: -9, -5, 0.4, 0.8, 1, 21259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m + 0*m + 0*m + (1 - 1 - 5 + (2 - 4 + 1)*(-2 + 1 - 3))*(31*m + 14 - 14) to the form o*m + t and give o.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence titt when four letters picked without replacement from {t: 7, i: 1}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 111156021 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*8\/(-14))\/((-266)\/(-6517))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4*x - 7. Let t(q) = -15*q + 6. Let w(a) = 7*a - 4. Let i(f) = -2*t(f) - 5*w(f). Determine -5*i(m) - 6*k(m).\nAnswer: m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19232 a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -10137*s**3 - 7686*s + 6201*s + 3482*s**3 + 135 + 5445*s**2 = 0.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 1621 = 2*l, -2*l + 908 = 5*s - 721. List the prime factors of l.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -2*o + 183. Let z = -56 + o. Suppose 3*k - 2*d = z*k + 86, 3*d - 39 = k. Is -43 > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 + -37. Let v(q) = -q**2 + q + 3. Let z be v(3). Let c = z - g. Solve -1 = -i + c for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + 9*s - 3. Determine u(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide (1652\/(-8))\/((-3)\/354)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 14*y**2 - 23*y + 41. Let s(g) = 3*g**2 - 6*g + 10. Let f(a) = -2*n(a) + 9*s(a). What is the remainder when 52 is divided by f(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -5*d + 6. Let p be f(8). Let q be (-4)\/10 + p\/(-10). Let w be (-1)\/q + (-8)\/(-12). Is w at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-6))\/((-178)\/801)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1088209.\nAnswer: 1088209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -5*p**3 + 4*p**2 + 4*p + 5. Let x(c) = 4*c**3 - 3*c**2 - 3*c - 4. Let z(s) = 3*u(s) + 4*x(s). What is the first derivative of z(f) wrt f?\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-57 - ((-6 - -16 - -9) + -8))?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 14, r: 1}. Give prob of sequence ccc.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 757226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-19)\/(475\/(-4715)) + -1*(-4)\/10 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 3, -23 in ascending order.\nAnswer: -23, -5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u**2 + 14*u**3 - 12*u**3 + 2 + 2 + 0. Let k(p) = 2*p**3 - 3*p**2 + 3. Suppose -3*a = a + 12. Give a*s(w) + 4*k(w).\nAnswer: 2*w**3 - 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 141 and 5687.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 547623409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 2*s**2 - 2*s - 5. Calculate p(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - -3) + 15 - 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - ((15 - 9) + 25)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 64627877 to the power of 1\/3, to the nearest integer?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m**2 - 5 - 6 + 4 - m**2.\nAnswer: 4*m**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 14*m**2 + 30*m + 44. Let p be s(16). Suppose 17*r = p*r + 880. Is r a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 23*j**2 - 10*j + 34. What is the smallest common multiple of m(-23) and 4?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 1 = 5*r + 2*h, -1 = r + h for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**4 - b**4 + 5*b**4 + (0*b**3 - b**3 - b**3)*(-3 - 14*b + 3).\nAnswer: 33*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 123*c - 310. What is the remainder when q(6) is divided by 64?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 110, 187, 2 in decreasing order.\nAnswer: 187, 110, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**5\/9 - 26*b**4\/9 - 20*b**3\/3 - 4*b**2\/9 + 58*b\/9 + 10\/3 = 0. Calculate b.\nAnswer: -1, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 5*h + 25, 8*h - 4*m + 60 = 3*h. Let g be (-6)\/4*(h - 0). What is the greatest common factor of g and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38 by -620785.\nAnswer: -38\/620785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3814692?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40001770.\nAnswer: 2, 5, 491, 8147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 381 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(147\/14)*-2*1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 5*d**2 - d + 1. Let f be b(1). Suppose -12*o + 2*o**2 - f*o**2 - 12 + 0*o = 0. Calculate o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153800 rounded to the nearest one thousand?\nAnswer: 154000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a second in milliseconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18531134 is divided by 3706210?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -28*l + 420. What is the tens digit of j(-18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 4, -9, -5, -1 in ascending order.\nAnswer: -9, -5, -1, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 4*h - 15. Solve 0*q + h = -q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x**3 + 2*x**2 + x - 1. Let b(y) = y**2 - 4. Let a be b(3). Suppose -q + a*g - 3 = 0, 2*q - 2*g - 3 = -1. Is n(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1995 - -3601. Which is smaller: a or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + m = 223, 3*p - 4*m - 69 - 84 = 0. Suppose -l = -4*r - p, -2*l + 2*r = -3*l + 55. Suppose -h + 2*h - l = 0. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -20\/7, -2\/3, -3642?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 5*g = 40, -30 = -3*t - 0*g - 4*g. Let h = -3 + t. What is the greatest common factor of 14 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 AM and 7:00 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-62)\/(-6)*(40\/(-280))\/((-23)\/(-161))?\nAnswer: -31\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4*v - 12 + v**2 - 27 - 9*v. Let y = -4848 - -4822. Is r(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 568, 564, 558, 550, 540, 528, 514?\n\"Answer: -k**2 - k + 570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 110305 - -1322?\nAnswer: 112031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1584*f - 1579*f + 1056*y + 3138, -5*f + 36 = -2*y for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o + 8*o = -4. Put 1, o, -7 in decreasing order.\nAnswer: o, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.609541 rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -639*b**2 + 2*b - 8. Suppose -5*v + 10 = 5*g, 9 + 3 = 4*v + 3*g. Let q be i(v). What is q rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*p + 23*p = 3*o + 96, 0 = -4*o - 125*p - 128 for o.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y. Let a(p) = -3 + 106*p - 96*p + 3. Give a(w(h)).\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 155 + 44*r**3 - 155 - 31*r**3.\nAnswer: 13*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7.9 + -7.4. Let o = -474 + 475. Sort 0.1, -1, u, o in descending order.\nAnswer: o, u, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(((-380)\/950)\/(0 - (-3)\/15)) - -17?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, v: 1, x: 6}. Give prob of picking 1 n and 3 x.\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11724 (base 11) to base 7.\nAnswer: -100053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -110*h + 117*h**2 + 215*h - 105*h + 1 to p*h + r*h**2 + u and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 862 + -196. Suppose -x = -10*x + b. Let w = -34 + x. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j - 13*j + 24 = 0. Does 4 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 3*y + y + 2*y - 4*y + 0*y + 0*y + 0*y - y + y - y + 2*y + (-3*y + 0*y + 2*y)*(2 - 3 - 1) + 2*y - 3*y + 3*y)*(-y**4 - 4*y + 4*y).\nAnswer: -2*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3086913?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2635, -2636, -2637, -2638, -2639, -2640?\nAnswer: -2641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d\/(d*d\/(((d\/(d*d\/(d*((d**0*d)\/d)\/d)))\/d*d)\/d)))**(-43)*d*d**(-3\/2)*d*d*(d\/(d**(-2\/3)*d))\/d assuming d is positive.\nAnswer: d**(265\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 0.13 (c) 3 (d) 1\/4 (e) 21.59 (f) 0.1 (g) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -365*f**2*n + 65118*f**2 - 210*f*n - 9*f with respect to n.\nAnswer: -365*f**2 - 210*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6798.01 times -0.04?\nAnswer: 271.9204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 234 = 2*i, 3*i - 4 = 8. What is the remainder when h is divided by 46?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 3*g - 20. Let u = g + -7. Find a such that 3*a**3 + 2*a**2 + 8*a**4 + a**3 + 4*a**u = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -4409 + 4409 + 5*t. Let c(v) = 28*v - 6. Calculate c(i(x)).\nAnswer: 140*x - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*q + 26 = -6*q, r = -q - 2. Let p(c) = 2*c**2 - 26*c + 3. Let m be p(13). Suppose 0 = 4*y + 5*f - 34, r*f = -m*y - f + 26. Does 3 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 - 26 = -4*y. Suppose -27 = -3*x + 9. Which is greater: y or x?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38517713.\nAnswer: 13, 29, 71, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 32 + 18. Solve 4*l = -l + v for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbqqbabbqabbqaa. Give prob of picking 1 b and 1 a.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of -y**8\/672 - y**7\/84 - y**6\/40 + 9*y**2 - 1. Factor i(c).\nAnswer: -c**3*(c + 2)*(c + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2058094 rounded to the nearest 100000?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j - 2*j + 5*j + (2*j + 0*j - 3*j)*(1 + 1 - 3) - 2 + j + 2)*(28 + 9 - 1) in the form w + q*j and give q.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(153)\/sqrt(81))**2 + sqrt(17).\nAnswer: -19\/9 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*((-13)\/3 + 3). Suppose -f*q = -0*q. Suppose q = -0*u - 4*u. Solve 3*v + v + 16 = u for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d + 5*l = -5, 4*d = 7*d + l - 1502 + 1503 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1526 divided by 10\nAnswer: 763\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -2\/2759837?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7449246224\/12267 + 607259. Calculate the common denominator of -52\/21 and j.\nAnswer: 85869","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/16))**(-34))**(-1\/68) assuming i is positive.\nAnswer: i**(1\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -a**5\/4 - 3*a**4\/2 - 9*a**3\/4 - a**2 = 0?\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 2:40 AM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.13 in -3, 4, -0.1, 2.4, -67?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-3)*(m\/(m**(6\/5)\/m))\/m assuming m is positive.\nAnswer: m**(-16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 2 j, and 1 u when four letters picked without replacement from fuaaaffjjfujfjuu.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 13.8?\nAnswer: -6.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.2880855 to two dps.\nAnswer: -1.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1198 + 26?\nAnswer: -1172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m**3 + 1 - 161*m**2 + 74*m**2 + 87*m**2.\nAnswer: 5*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.018 (b) 0.4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 12463130.44 to the nearest 100.\nAnswer: 12463100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - 15.8894.\nAnswer: -16.0894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) 2 (b) -2 (c) 2\/473 (d) -5\/17 (e) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -50430, 3, -3, 5 in ascending order.\nAnswer: -50430, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by -777506.\nAnswer: -7\/388753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ru when two letters picked without replacement from {r: 2, o: 1, z: 3, p: 6, u: 3, h: 4}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 8:17 AM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1338550*a**3*o + a**2 - 474748*a*o wrt a?\nAnswer: -8031300*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/9))**(1\/14)*(w*w**(1\/3))**(1\/11) assuming w is positive.\nAnswer: w**(95\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 d, and 1 l when three letters picked without replacement from ldxoooxxdldxxdxeeelx.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1512) + sqrt(1512)*4)\/(sqrt(30)\/(sqrt(5)*-5)) + -4 + -2)**2 + -1.\nAnswer: 1800*sqrt(7) + 157535","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 690.2193 milligrams to nanograms.\nAnswer: 690219300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53, 97, 115, 95, 25, -107, -313?\nAnswer: -605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 227 = 5*l - 5*g, -2*g - 192 = 4*l. Suppose 5*u + 4*a + 59 = -177, -2*u - 91 = 5*a. Which is greater: l or u?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -7*v - 30. Let p be v*6\/30 - (-64)\/20. Factor -6*k + 3\/2*k**4 - 9\/2 + 6*k**3 + p*k**2.\nAnswer: 3*(k - 1)*(k + 1)**2*(k + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 497\/15 - 169\/5. What is the closest to 0.01 in -1, 2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/6)*d**(4\/13)*d assuming d is positive.\nAnswer: d**(115\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24288mm in meters?\nAnswer: 0.00024288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (182\/(-8))\/((-9)\/36). Suppose -3*s + b - 49 = 0. Solve 0 = 2*t + 3*t + 2*j + s, 8 = t - 5*j for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -4*z - 2*b, 5*z + 10 = 5*b - 0. Let h = 10 - 9.2. Let p = h + -1. What is the third smallest value in -3\/2, z, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 + -38. Let z = 20 + i. What is the tens digit of (4 - z) + (-4 - -37)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/5614 and -79\/3208?\nAnswer: 22456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -290 from 376.5.\nAnswer: 666.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -15. What is the tens digit of o*10\/3 + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1 + (0 + sqrt(1152) + 0 + sqrt(1152) + sqrt(1152))**2 + 1)*-4.\nAnswer: -41464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 3. Let u(n) = n**3 + n**2 - 2*n + 1. Let x be u(-3). Let d = 21\/2 + x. Which is the second smallest value? (a) d (b) 3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*l - 24*l - 428 = 0. Suppose 104*z + 15 = l*z. Solve -z*x = -x - 12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/5 - 133\/(24605\/5106)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 5*l - 2*l - 130 = 0, 2*l - 159 = -5*j. Let m = 94\/3 - j. Which is greater: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6592 divided by -16.\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12684 + -12685. Put 0.4, -111, v in ascending order.\nAnswer: -111, v, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 + 5*c + 5. Let x be v(5). Suppose -k - x*t + 18 = 0, 7*k - 4*t - 3 = 2*k. Solve 0 - 9 = k*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9112 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6, x: 12}. Give prob of sequence wx.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1440 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*v + 25 = 31*v. Suppose 0 = h - 2 + v. What is the tens digit of h + 50*3\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 42 + -11473601?\nAnswer: -11473537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*u + 253 + 315 + 384 = 0 for u.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 5*i = 2*q - 6510, 3*q + 2*i = 3921. Let m = q + 116. Calculate the common denominator of 25\/2 and m\/385 - 2\/(-5).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*a + 6*a + 3*a)*(4*a - a - 2*a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 13.53. Let v = 0.27 + z. Which is the third biggest value? (a) v (b) 1\/8 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a decade in years?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.471119 to three decimal places.\nAnswer: 0.471","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -5*h + 3*a - 319, -h + 3*a = 71. Let f = 25 + h. Let r = f - -47. What is the lowest common multiple of r and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, x: 1, l: 2, k: 6, d: 1}. Give prob of sequence xkpp.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/7? (a) -0.24 (b) 2\/11 (c) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*q - 2*q - 7301 + 7301.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/5))**(10\/3))**(1\/36)*(r**(1\/4)*r*r)**15\/(r**(-4)\/(r*r*r**(-2\/11))) assuming r is positive.\nAnswer: r**(47051\/1188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1 + (-3 + 4 + 0)*(-3 + 3 - 2) + 2 - 3 + 0 + 3 - 1 - 5 + (-2 - 4 + 4)*(-3 + 0 + 4) - 3 + 0 + 2)*(-1054*j**2 - 13*j + 1052*j**2 + 4*j).\nAnswer: 14*j**2 + 63*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/1 - (22 + 111778). Let l be m\/(-154) + 0 + 4. Let r = l - 730. Is -1 >= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 271 - 158. Suppose -k - 82 = 5*a. Let z be a\/(-15) + 6\/(-10). What is the third biggest value in z, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/9 and 3\/442930.\nAnswer: 3986370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -769\nAnswer: -3\/769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -w**2\/2 - 42849*w\/2 - 4010134 = 0.\nAnswer: -42661, -188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/3 + (-8)\/(-6) + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 708810 is divided by 144?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 972178*o - 5. Let t(s) = -s. Determine t(i(x)).\nAnswer: -972178*x + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - a = -6*f + 410, 3*f - 6*a + 10*a = 7*a + 204 for f.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135885449?\nAnswer: 7, 23, 359, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -171610\/153 or -1122?\nAnswer: -171610\/153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 2004*b = 2003*b - 1, 0 = 5*o + 4*b + 30 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 931150 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (6*(1 + sqrt(75)) - (sqrt(75)*1 + 5 + sqrt(75))) + -1 + -1*sqrt(75) + -2 + 0 + sqrt(75) + -3)**2.\nAnswer: -40*sqrt(3) + 1201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -223 in -2\/7, 0.5, -1\/8?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3870 and 3999?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o - 52*r = -55*r - 68, 0 = o - 2*r - 15 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 15071cc (base 13) to base 6\nAnswer: 355325502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**3 + 31 + 3*m**3 - 46*m - 31.\nAnswer: 5*m**3 - 46*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 10:03 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35211 = 44*c - 12*c - 5045. What is the remainder when c is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 12:38 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -129, -154, -185, -216, -241, -254, -249, -220?\n\"Answer: z**3 - 9*z**2 - 5*z - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*m = z + 30*m - 1, -5*m = -2*z + 14 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/3 + 1481*c\/3 + 69230.\nAnswer: -(c - 1610)*(c + 129)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n**2 + n - 2. Let b be u(-4). Let g(s) = 38*s - 16. Let h be g(-2). Let c = b - h. List the prime factors of c.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -58*j + 71. Let y(m) = -86*m + 107. Let a(s) = 8*f(s) - 5*y(s). Differentiate a(l) wrt l.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/(-12) + 4\/6. Let c(l) = 2*l + 3 + r - 6 - 7*l. Let f be -1 + (-10)\/(-25) - (-18)\/5. Let m(g) = -4*g - 2. Calculate f*m(j) - 2*c(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 15, 3, -9, -2\/199?\nAnswer: -2\/199","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 159085363 to the nearest 100000.\nAnswer: 159100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2.1 times 5251687\nAnswer: 11028542.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 26318913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 3*f - 0*f + 7, -5*f = -w + 3. Let k(x) = -2*x**3 - x**2 + 2*x - 1. Calculate the remainder when k(w) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14\/(-40) - 3\/(-12). What is the smallest value in -0.4, -1\/3, k?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4 = -36. Suppose 14*n = 22 + l. Solve i + n = 2*d, -4*d + i = -7*d - 3 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 28, -140, 1918, 0 in descending order.\nAnswer: 1918, 28, 2, 0, -5, -140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 1574*i + 974. Calculate the remainder when x(4) is divided by 214.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*h + 2114 - 2042 = 0. Solve 236*d - 234*d - h = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s - 7. Let n be h(5). Let g = n - -4. Suppose -4*k - g*r + 50 = 3*r, 0 = 4*r - 8. Is k a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(156)\/sqrt(12) + -2)**2 + ((sqrt(325) + -1)*-1)**2.\nAnswer: -14*sqrt(13) + 344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 66878 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -135 and -0.16.\nAnswer: 21.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 24*n**3 + n**2 + 4*n + 3. Determine r(-1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.124 from 243050939.\nAnswer: 243050938.876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/8*2 + -10. Let x be 38\/171 - 25\/z. Suppose -q - x*w + 0*w + 305 = 0, -2*w + 8 = 0. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 900 and 351?\nAnswer: 35100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**2 + 326 - 326.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -196.9273469 + 206.92734661. Let g = 9.5338 + 0.4662. Let s = k - g. Round s to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (((-64)\/(-36))\/4)\/(2\/(-6)). What is the biggest value in -0.4, 24, t?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 8*r - 9. Let h be x(-9). Let q = -99\/4 - -25. Find s, given that -q*s**2 + 1\/4*s**3 + h + 0*s = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 9672.705 minutes?\nAnswer: 580362300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1232243212 - -10?\nAnswer: -1232243202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1047*c**2 - 10322 + 11433 - 393*c**2 wrt c?\nAnswer: -2880*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 210 + -1472\/7. Let d = 3.6 - 4. Put d, 1, s in decreasing order.\nAnswer: 1, s, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 + -32.1. What is the nearest to -2 in b, -5, 3\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*p**3 - 45*p**2 - 35*p**2 + 33*p**2 + 47*p**2.\nAnswer: 41*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from edkrddeodkoooodd. What is prob of picking 1 o, 1 r, and 2 k?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -2. Let g be (3 + -1)*1 + 160\/(-74). Which is greater: s or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23989116 divided by -1999093.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1357 is divided by 632?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 665 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 473, 0.5, 0.13, 0, 4 in ascending order.\nAnswer: 0, 0.13, 0.5, 4, 5, 473","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/143240 and 81\/1253350?\nAnswer: 5013400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -89 - -150. Let f = z - 39. List the prime factors of f.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -474, -904, -1336, -1770, -2206, -2644?\nAnswer: -3084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1.6, -0.2, 5, 424?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -22*s**2 - 6*s - 7. Let p(u) = -44*u**2 - 13*u - 15. Calculate 6*p(h) - 13*w(h).\nAnswer: 22*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1030781 (base 9) to base 10\nAnswer: -551764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 8:10 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 22*i**2 + 18*i + 21. Let m be x(22). Suppose -d + 2*d = -290. Let n = m + d. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-18)\/j)\/(j*j*j**18)*((j*j**(-1\/2))\/j)\/j**(4\/5) assuming j is positive.\nAnswer: j**(-403\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 52257524 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -97 + 92. Let p be (v\/(-10))\/((-2)\/(-12)). Solve -5*g + 7 = i - 2, 0 = -4*i - p*g + 19 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 0, -5, 6\/5 in increasing order.\nAnswer: -5, 0, 0.3, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-8) - 15\/20. Let h be (-1 - (1 - 2))\/r. Let p = -0.2 + 1.2. Do p and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*a + 28 = 3*j, 4*a + 12 = -j. Suppose j*u - 14 = 18. Calculate the remainder when (-3 + 1)*(-116)\/8 is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 128592 and 20304?\nAnswer: 385776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4366*p + 3067*p - 5370*p)*((1 - 1 - 1)*(-3*p + 6*p - p) - 1 + 0 - p - 1).\nAnswer: -6189*p**2 - 4126*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7 - (-3 + (4 - 2)). Suppose -3*t + 1 = -p. Let y(q) = q**3 + 61*q**2 + 372*q - 319. What is the remainder when y(-54) is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 47 = -3*j, 0 = 4*j - g + 9 - 63. Suppose j = -2*u + 5*y, -13 = -8*u + 4*u - 3*y. What is the lowest common multiple of 52 and u?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2072 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -258111.7 - -29379599.\nAnswer: 29121487.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 96408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(2\/49))\/(q*q**(2\/41)*q) assuming q is positive.\nAnswer: q**(-2025\/2009)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -17499, -2, -4 in increasing order.\nAnswer: -17499, -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 9*o - 9. Solve f = 3 - o for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 5*f - 1513 = 0, 3*i - 19*f - 1152 = -21*f. Let h = i + -187. Calculate the greatest common factor of 15 and h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -61 - 224.\nAnswer: -285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (56\/32)\/(2\/64). Suppose y = 3*p + p. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -12\/13 (b) 1.2 (c) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5*(-2 + -5*(sqrt(1300) + 1))**2 + 2 + 0).\nAnswer: 21000*sqrt(13) + 976482","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000019828 to six dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39430 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of -3*c**4\/8 - 5*c**3\/6 + 2*c**2 - 11*c. Let w be v(-2). Calculate the greatest common divisor of w and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3614 + 19609 = 128*k - 585*k for k.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 444150315?\nAnswer: 444150314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 315*b**2 - 138*b. Let v(a) = -630*a**2 + 280*a. Let u(y) = 5*f(y) + 2*v(y). What is the second derivative of u(m) wrt m?\nAnswer: 630","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -g**3\/2 - g + 54. Let q(h) = 3*h. Let s(y) = -18*y. Let t(x) = 5*q(x) + s(x). Determine o(t(c)).\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a centimeter in micrometers?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c - 14. Let r(u) = u. What is -q(m) + 3*r(m)?\nAnswer: m + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-2))\/(((-31152)\/32)\/11).\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**0*((r*r\/r**(1\/6))\/r)\/r)\/(r**(2\/5))**(-4\/21) assuming r is positive.\nAnswer: r**(-19\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.73, -41, 0.1, -3, 0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1694*p + 1702*p = 1968. Calculate the lowest common multiple of 14 and p.\nAnswer: 1722","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 23 + 7. Let c be (-2)\/(2\/(-3)) - (k - -1). Is -10 smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1306718689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.6 + -1.4. What is the biggest value in c, 4, 2\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(-19)*c**(-4\/11)\/c assuming c is positive.\nAnswer: c**(-213\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 37*z**3 - 103*z**2 - 7*z - 9. Let v(f) = -f**3 - 20*f**2 - f - 2. Let r(m) = -l(m) + 5*v(m). What is r(-1)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 193, 195, 197?\n\"Answer: 2*k + 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13877826 and 5754.\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1465 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence suuu when four letters picked without replacement from susuusuuuus?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - h + 1. Let v(m) = -5*m**2 - 2*m - 1. What is -d(q) + v(q)?\nAnswer: -4*q**2 - q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*r = 14*r - 6*r - 76 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 43, 131, 307, 601, 1043?\nAnswer: 1663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3 + 164*p**2 + 953*p + 790.\nAnswer: (p + 1)*(p + 5)*(p + 158)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/2)\/(x*x**(2\/3)))**(3\/23) assuming x is positive.\nAnswer: x**(-7\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -k**4\/18 - 58*k**3\/9 - 841*k**2\/3 - 112*k - 234. Let j(y) be the first derivative of l(y). Factor j(z).\nAnswer: -2*(z + 29)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 28732362?\nAnswer: 229858896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of u**3\/4 - 903*u**2\/8 - 453*u\/2 - 621. Factor k(r).\nAnswer: 3*(r - 302)*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -11*r. Suppose 2*i + 1 = i, -o + 8 = 3*i. Let k(z) = 2*z**2 - 11 + o. Give k(j(m)).\nAnswer: 242*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49 + 51)*(-20)\/(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + -50)*(0 + 2). What are the prime factors of (-1 - 2\/(-4))*s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16342*s + 55056 wrt s.\nAnswer: -16342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 14 - 37 = -4*c, 3 = -3*n. Let x be (-2)\/c - 22\/(-30). What is the closest to 2\/5 in x, 4, -2\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 52 and 12.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 53 - 49. Suppose 3 = -3*h + g*h. Which is the third biggest value? (a) h (b) -0.01 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -151, -321, -483, -631, -759, -861?\n\"Answer: z**3 - 2*z**2 - 171*z + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/627 and 67\/110?\nAnswer: 6270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 b, and 2 s when four letters picked without replacement from iwwhwhshwbwswwwwww?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 12, -d = -75*h + 72*h - 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2778.611 millennia?\nAnswer: 2778611","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -21 > -57063\/2756?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*z + 47 = -69 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 - 28 = 4*m. Let z = m + -11. Let v(a) = -a**3 + 3*a**2 + 2*a. What is the least common multiple of z and v(3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w + 255403 - 3*w - 255429 to h*w + m and give m.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 804.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13e16c6 + 1?\nAnswer: -13e16c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2451, 5246, 8043, 10842, 13643?\n\"Answer: q**2 + 2792*q - 342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22 + -22 - 0) + 1 + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40879*k - 20 = -40877*k - 3*v, -2*v + 16 = -2*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 7 - 7)*(-13 + 13 + 7*r**3).\nAnswer: -140*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3067000 rounded to the nearest 100000?\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1048624519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by 750376.\nAnswer: 5\/375188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2308, -4627, -6946?\nAnswer: -9265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*y**4 + 2*y**4 + 53*y - 55*y wrt y?\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00074371349 to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 0 = 4. Which is smaller: d or 1\/71?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50 divided by 7\nAnswer: 50\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -898400 to the nearest ten thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12532 by -26.\nAnswer: 482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 0 + 1 + (3 - 2 - 2)*(-10 + 24 - 8))*(-3*x + 14*x + 20*x).\nAnswer: -341*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 15 (b) -5 (c) -0.0772\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o - 3. Let t be y(-8). Suppose 0*f + 105 = t*f. What is the units digit of 351\/f - 2\/(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = v - 16. Suppose 3*g - v = 6*g. Let i(b) = -b**3 - 5*b**2 - 5*b + 2. List the prime factors of i(g).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) + 5*(3*sqrt(119) + sqrt(119) + sqrt(119) - sqrt(119)))\/sqrt(7).\nAnswer: 21*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22 - 6 + 4)*(3*d - 5 + 5) to the form j + w*d and give w.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - x**2 + 4*x + 7. Let c be b(-2). Solve c*p - w + 15 = 0, -3*p + 3*w = 6*w + 3 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 594?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-16)*((((m*m**(-1\/3)\/m)\/m)\/m)\/m)\/m)\/(m*m**(-2\/15)*m)**(-23\/3) assuming m is positive.\nAnswer: m**(-226\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uttdxsb. What is prob of picking 1 t and 1 d?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: aa4a (base 11) to base 7\nAnswer: 60330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m + 13*m**4 - m - 43*m**3 + 47*m**3 + (0*m - m + 0*m)*(2*m**3 + 2*m**3 - 3*m**3).\nAnswer: 12*m**4 + 4*m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 8:07 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 12303018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -29, -49, -69, -89, -109?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1320 + 1488. Calculate the greatest common divisor of 1204 and c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 165014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 16860 + 16818 = 62*x, -i - 6 = x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7.0771 and -0.05903.\nAnswer: 0.417761213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 2 (b) -2\/13 (c) 1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*q = -375 - 30 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.5 - -2. Let s = -42 - -41.4. Let g = -0.66 - s. Which is the second biggest value? (a) w (b) g (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - ea3?\nAnswer: -ea2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i\/(i*i\/i**(-2\/3)))\/i)**(2\/23)\/(i*i**(-11)*i**(1\/6)))**(21\/2) assuming i is positive.\nAnswer: i**(9359\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/3)\/(6\/(-27)). Let t = 63 + -24. Let h = v + t. Calculate the remainder when h is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 367094\/11 + 4 - (-40)\/(-220)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 9*d - 17. Let k(m) be the third derivative of m**5\/60 - 257*m**2 + 1. Give n(k(g)).\nAnswer: 9*g**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-3\/11)\/(y\/(y\/(y\/y**(-11\/2))))*(y**(-11)*y)\/((y*y**(-12\/5)*y)\/y) assuming y is positive.\nAnswer: y**(-1691\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3065 + 1292. Let j = 437 - g. What is j rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 21*r - 69*r = -86*r + 28, 4*v - 56 = -5*r for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 90 = 5*y, 63*j + 40*y + 314 = 41*y - 15 + 1711 for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 592.9797ns?\nAnswer: 0.0000005929797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 137672.4 millennia to months.\nAnswer: 1652068800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 16 = -2*d, 0 = -168*m + 171*m + 4*d + 32 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(208) - sqrt(208))*-2 - sqrt(208))*4 - ((sqrt(13) - (sqrt(208) + -5))*-3 - (sqrt(13)*-1*3*5)**2).\nAnswer: 39*sqrt(13) + 2940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 8\/5, -0.3, 0.1, 1\/2, 0.3, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 63154\/88073 or 1?\nAnswer: 63154\/88073","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) -0.1 (b) 4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qd when two letters picked without replacement from qqddqdqddqqqdddqdqqd?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of -h**4\/12 + 3*h**3\/2 - 15*h**2\/2 + h - 351. What is c(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1274842.8 milliseconds to weeks.\nAnswer: 0.002107875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + r + 14. Let q be l(4). What is the derivative of 213 - 37*m**q - 3*m**2 - 2*m**2 - 39*m**2 + 2*m**3 wrt m?\nAnswer: 6*m**2 - 162*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 - 7*k)*(0 + 3 + 0)*(-1 - k**3 + 1).\nAnswer: 21*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g - 41 + 3*g + g**2 + 42. Suppose -6 = -3*f - 5*k + k, -2*f + 4 = 5*k. Let d(n) = -n - 4*n**f + 5*n**2 + 4 + 6*n. Determine d(i) - 3*z(i).\nAnswer: -2*i**2 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -630173 to the nearest 1000.\nAnswer: -630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 33*m**2. Let v(r) = 3*r + 21. Let p(n) = -n - 6. Let t(w) = -7*p(w) - 2*v(w). Give t(i(h)).\nAnswer: 33*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - -15. Is p a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-8 + 8) - -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of a**5\/60 + a**4\/6 + 2*a**3\/3 + a**2. Suppose b(l) = 0. Calculate l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18.4425*-0.02.\nAnswer: 0.36885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 506198868, 506198870, 506198872, 506198874, 506198876?\nAnswer: 506198878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 284917926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 33 + (2\/(-7) - (2430\/(-105))\/18). Solve 7*g - 15 = k for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2. Suppose -22*l + 44 = -18*l. Let d(q) = -9*q + 14*q - l*q. Give d(r(w)).\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28 - -44) + (5 - (-12 - -13)).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x. Let l = 6 - 2. Let s(j) = -1 + 2*j + 5 - l. What is c(s(g))?\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -99.4 - -84.4. What is the nearest to 0 in 1\/3, h, 4, 2\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20243 + 20243 - 5490*b**2.\nAnswer: -5490*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 2*q**2 + q + 2. Let m be r(3). Solve d - 4*c - 9 = c, 4*d + 5*c = -m for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 62 + -59. Suppose -3*u + 752 = u. Suppose f*n + n = u. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 790259551 to the nearest integer?\nAnswer: 925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4299 or 18?\nAnswer: 4299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -121*z. Let r(o) = -2*o**2 + 469*o - 2. What is y(r(d))?\nAnswer: 242*d**2 - 56749*d + 242","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 48 in -32\/9, -0.04, 0.1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3376657\/17 - 198402. Let n = 225 - u. Let y be -1*1*4\/(-8). Is n at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.1 + -5.3. Let i = -0.5825 - -0.0495. Let t = i + 0.033. What is the nearest to c in -2, 4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t**2 - 11*t + 3 + t - 5*t + 0*t. Let q be s(5). Solve 2*j - 23 = -5*h, -2*h - 3*j = -q*h + 8 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37742 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5257 or 121?\nAnswer: 121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-3 + 1)) + (-215 - -212)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tzteyyeyyyy. Give prob of picking 1 z and 1 e.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-435)\/21 - 8\/28. Let h = 8 - x. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8482?\nAnswer: 2, 4241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z - 52. Give a(-12).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that p**3 + p + 0*p**3 - 2*p**3 - 18 + 26*p**2 - 34 + 26 = 0.\nAnswer: -1, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -28, -28, -30, -34, -40, -48, -58?\n\"Answer: -z**2 + 3*z - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -22536.2?\nAnswer: 67608.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 15, -709 in increasing order.\nAnswer: -709, 0, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, x: 8, m: 2, k: 2, r: 2}. Give prob of picking 2 x and 2 r.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-2)*4 + (-8 - -364). Suppose h = 12*m + 102. Calculate the greatest common factor of 7 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 5*n = 6*x - 5, -5*x + 5 = 5*n. Let b(o) = -o**3 - 2*o + 2. Let i be b(x). Solve z = -i*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.536 in -3, -0.4, -0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 + 247*q + 499. Let v be l(-2). Let m be (-2)\/(-1)*1\/2. Is 4\/v + 6583*m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 - 69. Let m = -16 - t. Is 13 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -563*l = -4493 + 13501 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1229?\nAnswer: 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1075 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.2, -23.7.\nAnswer: -23.7, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -4*g + 6. Let y(u) = -2*u + 3. Let z be (-4 - -7*4)*-1. Let a = z - -29. Determine a*y(d) - 2*q(d).\nAnswer: -2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1001 and 69839?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 325444 is divided by 65088.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 4*q - 5*u, -q = q + 4*u - 16 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - -3 - 5 - -6) + (-2 - 2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 97 or 3942\/41?\nAnswer: 3942\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that x**3\/3 - 419*x**2\/6 - 211*x\/6 + 35 = 0.\nAnswer: -1, 1\/2, 210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 2. Let s = 9.43 + -10.5. Let p = 0.07 + s. Is q at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 85*n + 455 = -0*u + 43*n + 39*n, -3 = -5*n - 3 for u.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*s - 523 - 413 = -34*s for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -300933, -300922, -300889, -300822, -300709?\n\"Answer: 2*h**3 - h**2 - 300934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -6*c**3 + 4*c. Let s(d) = d**3 - 2*d**2 - d + 2. Let q(i) = -i**2 + 1. Let b(p) = 2*q(p) - s(p). Calculate -4*b(u) + z(u).\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o + 19. Let g be m(17). Suppose -k = 2*c - 1, -g*k + 20 = -c - 4*c. Solve 2*d + 1 + k = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-10) - 157\/(-5). Let x be 0 + 4 - (-4 - -4). Suppose z - 7 = x*l. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**2 + 279*i - 1624. Give v(-145).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tttt when four letters picked without replacement from ttttttttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 12, -c + 2*v = v - 11. Suppose m + c = 5*m. Suppose -6*z + z - 2*q + 443 = 0, 5*q - 173 = -m*z. List the prime factors of z.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1982266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67703, -135401, -203113, -270839, -338579, -406333?\nAnswer: -474101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -7*16*(6 + -1). Let w = 785 + k. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**10\/(v*v\/(v*v\/v**(-3\/8)*v)))\/(v**(-3\/10)*v**(3\/11)*v) assuming v is positive.\nAnswer: v**(4577\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*f, -5*m + 0*f = -f - 48. Let n(i) = i**3 + 16*i - 9*i**2 + 0*i**3 - 22 - 5*i. Is n(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1304717.\nAnswer: 569, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*s**3 - 19*s**3 + 21*s**3)*(1 - 5*s - 1) + 1 - 2*s**4 - 1.\nAnswer: 38*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(7\/9)*(i*i**(-5)\/i)\/i)**16)**(2\/89) assuming i is positive.\nAnswer: i**(-1504\/801)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/(-1*sqrt(2)))\/(-1*sqrt(972) - sqrt(972)).\nAnswer: sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 62.9829304 + -82.98294. Let g = 0.142 + -20.142. Let j = o - g. What is j rounded to 6 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32886 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*d*m*n + 2*d*m + 13163607*d*n + 23*m*n - 97*m - 3449*n with respect to d.\nAnswer: 3*m*n + 2*m + 13163607*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1641033 + 17?\nAnswer: -1641014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + t + 19, -t - t = -4*p + 24. Let h = 15 - p. What is the remainder when h is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -3 + (-5 - 8) + 5?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -20*v. Let n be o(-5). Suppose -4*u + n = 28. What is the tens 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 {j: 1, t: 1, u: 3, f: 2}. What is prob of picking 1 u, 1 f, and 1 j?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 2*m**2 + 5*m - 7. Let q be y(-4). Suppose q*v - 677 - 918 = 0. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -441010 = -2*x + 10*r - 6*r, 3*r - 220535 = -x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (27 + 73 - 24 + 35 + 211)*(7*u**4 + 2*u**4 + 5*u**4) in the form s + f*u + i*u**2 + c*u**4 + g*u**3 and give c.\nAnswer: 4508","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 27508344 to the power of 1\/2, to the nearest integer?\nAnswer: 5245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*x - 2*x + 8*x)*(-5 + 2 + 2) - 8*x - x + x - x + 2*x - 3*x to the form q*x + j and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from szszsssszszszsszszzz. Give prob of picking 2 s.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121 = -33*y + 88 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -0.036, 0.5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 8\/3, -1\/3, 3\/2 in decreasing order.\nAnswer: 8\/3, 3\/2, -0.1, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1681886, 1681883, 1681880, 1681877, 1681874?\nAnswer: 1681871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*m + 12 - 12)*(8 - 8 - 4*m + 0*m - 3*m + 4*m + (-4*m + m + m)*(1 - 2 + 2) + 2*m + 2 - 2 + m - 2*m + 0*m) in the form p*m + n + o*m**2 and give o.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 4*s - 12 + 6 + 7. Let p be 10\/(-55) - 18\/22 - -3. Determine z(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -374 - -372. Let c(v) = -v**2 - 2*v - 3. Let x(k) = 2*k**2 + k + 2. Let u(l) = 4*l**3 - l. Let h be u(-1). Determine h*x(g) + q*c(g).\nAnswer: -4*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h*h*h**(-6\/5))\/(h*h\/(h*h\/(h*h\/(h\/(h\/(h*h**14)))))*h))\/(h**(-5))**(-1\/8))**(8\/7) assuming h is positive.\nAnswer: h**(527\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (369\/(-12))\/((132\/(-32))\/(66\/(-72)))?\nAnswer: -41\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 56777 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -4*h**2 - 2*h + 2. Let u be i(2). Let r = -150 - -137. Let p = r - u. Solve -c - 5 = -p*a, -c - 3 = -3*a + 4*c for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3 - 150*x**2 - 15153*x + 15300.\nAnswer: 3*(x - 100)*(x - 1)*(x + 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00010191968 to seven dps.\nAnswer: 0.0001019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193064.\nAnswer: 2, 24133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -m - 32*m + 4*m as w + d*m and give d.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 6:16 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (42\/(-9))\/(2\/3). Let b = j + 12. Does 5 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -64*v**3*y**3 - 3*v**3*y**2 + 6*v**3 + 2*v + 4*y**3 wrt y?\nAnswer: -384*v**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 != 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s - 45 = -81 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 13 - 11, 3*z - 3*d = 59556. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*r - 133 + 133. Solve 51*a - 69*a - 108 = r for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 82 + 90 = 0. Suppose y*r = 6*r + 8. Put -2, -24, r, 4 in ascending order.\nAnswer: -24, r, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -20527 + 41105\/2. Let b be (-2)\/16762*(-67857)\/10. Let d = b - -1\/1445. What is the common denominator of d and j?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/317? (a) 4 (b) -0.14 (c) 9 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 14 = -4*p + 7, 5*c = -3*p + 17. Let d = 5 + -3. What is the highest common divisor of c and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 - -25. Suppose 5*r - 56 = -a*q + 14, q = -4*r + 12. Let z be (-1 + 26\/q)*-2. Is -5 != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 9:44 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/10)\/(116 + -115). Let a(n) be the first derivative of 0*n + 0*n**3 - 9 + w*n**2 - 1\/20*n**4. Factor a(b).\nAnswer: -b*(b - 1)*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 998 is divided by 111.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4*p + 73 = 0, -5*x + 97 = 5*p - p. Let y = x - 9. What is the tens digit of 4\/2*44\/y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -310*j = 156*j + 86*j - 41400 for j.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 9*t + 53. Let j be m(17). Suppose -v + j = 2*f - 5*v, 176 = 2*f + 2*v. Calculate the remainder when f is divided by 25.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 6*g - 1. Suppose 22 = 4*c + 6. Let x be r(c). Solve -i = -6*i + 15, 5*i - x = -4*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -3*v + 8 + 2, 0 = 5*w + 5*v - 25 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 68*f - 1949 = 65*f, -w + 2*f = -479. Is 485 greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2500\/(-75)*69\/(-2)?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*s**5 - 7*s**5 + 8*s**5 + (3*s**2 - 3*s**2 + s**3)*(-2 - 3*s**2 + 2).\nAnswer: -12*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -110 + -40?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5*10 + (-12 - -5) + 4 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2592, 2604, 2660, 2760, 2904?\nAnswer: 3092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**2 + 5*k - 7. Let s(y) = -y**2 - 4*y + 4. Let n(x) = -10*x**2 - 42*x + 42. Let b(r) = n(r) - 12*s(r). Determine -7*b(p) + 6*v(p).\nAnswer: -2*p**2 - 12*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.24 + -5.24114. What is s rounded to four decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36, -68, -100, -132, -164?\nAnswer: -196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86564.\nAnswer: 2, 17, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33610033 and 412.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006468 to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 61*b**2. Let a be (54*(-21)\/(-3024))\/(3\/32). Let x(i) = -12*i**2. Give a*h(c) + 22*x(c).\nAnswer: -20*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -67*a + 335. Let t be i(5). Solve 9*h = 10*h - 5*l + 13, -2*h - 5*l + 19 = t for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46189 is divided by 1069.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/7)\/(40\/(-70))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -11 + p**3 - 7*p**2 - 10*p**2 + 94*p - 77*p. Let k be a(16). Suppose -n - 3*s - s = -1390, -k*s = -3*n + 4136. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1152.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + t. Let k(s) = 8*s**3 + 2*s**2 - 4*s + 3. Calculate 6*h(g) + k(g).\nAnswer: 2*g**3 + 2*g**2 + 2*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44537?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 52343969 + -52343969.35500151. Let o = t + 0.355. What is o rounded to seven dps?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 84, -1, 5 in decreasing order.\nAnswer: 84, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 444.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -123*u - 3099. Calculate l(-26).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 4, 0, -4 in descending order.\nAnswer: 5, 4, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8934.814 millilitres to litres.\nAnswer: 8.934814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200120212201 - 101020?\nAnswer: 200120111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -354523677 divided by 15137?\nAnswer: -23421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 55 = 89. Is 6 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + 0 + ((-28)\/(-4) - -1). Suppose 2*t - 2*q = -7*q + 23, -x*t + 13 = -q. Solve 2*j + 2 = t*v, v = 2*j + 4*v + 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 8) to base 3.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -18*t + 157. Determine n(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 33 = -3*i + 275, -4*i - 2*v = -316. Let x = 151 - i. Let y = -39 + x. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1721 - -8557\/5. Let y be 4\/6 - 512\/3. Find the common denominator of ((y\/4)\/(-5))\/(-1) and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -552188 - -552200. Factor l*d - 15\/2*d**2 + 3\/2*d**3 - 6.\nAnswer: 3*(d - 2)**2*(d - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 5*o - 104 + 30, -4*x + 176 = 3*o. Let h be ((-64296)\/(-2052))\/((-2)\/(-24)). Calculate the highest common factor of h and x.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 24813, 49482, 74149, 98814, 123477?\n\"Answer: -v**2 + 24672*v + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -6. Suppose r = c*b - 9, 3*r + 8 = 3*b - 7. Let s(y) = 2*y**2 + 4*y. What is the units digit of s(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14752)\/(-154896) - 3314\/(-42).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 457 = 47. Let g = 115 + h. What is the remainder when g is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 7*j**2 - j + 9. Let w be z(7). Suppose -5 = -142*g + 147*g. Suppose 5*s + 0*s - 85 = 0. Put g, w, s in descending order.\nAnswer: s, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -41*p + 51*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 252 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7021 + 19947. Let u(i) = -i + 12926 - a. Let c(y) = -180*y. Determine c(u(b)).\nAnswer: 180*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 416011700 to the nearest 1000000.\nAnswer: 416000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - -1)*(-2 - -3). Let k(t) = s*t + t - t. Let c(x) be the third derivative of -x**5\/5 + x**2 - 8. Calculate k(c(j)).\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -103445, -97879, -92325, -86789, -81277, -75795?\nAnswer: -70349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -13 - -25?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 383839.7 years?\nAnswer: 38383.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2 - 4 - 6 + 12 - 24*f. Let k(h) = -13*h**2. What is k(b(v))?\nAnswer: -7488*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -12380000 to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*o + 5*o. Suppose 2*z - 6 = o, 2*g - 3*z = -0*z - 17. Let d(q) be the third derivative of q**4\/12 + 5*q**3\/6 + q**2. What is d(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 25 - 25 + 11*j**2 + (6*j - 1 - 8*j - 1)*(0 + j + 0) in the form x*j + u*j**2 + g and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 24\/(-40) + (-124)\/10. What is the remainder when 154 is divided by (b\/(-3))\/(14\/126)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 6*i**2 - 3*i - 3. Let r be l(-6). Let u be r\/2*4\/3. Suppose 5*a = -3*c + 9 + 53, -3*a + 5*c = -u. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h + 12. Let m be q(4). Let t(d) = 18*d + d - m*d. Let w(n) = n. Determine -2*t(b) + 18*w(b).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -l, d = -4*l + 21 + 34. Find the common denominator of 63\/8 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 2*z = 123. Let k = 224 - 210. Calculate the remainder when z is divided by k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 10:48 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dyyydrrrrry. What is prob of picking 2 d and 2 y?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-72)\/10)\/(-2) + (-4)\/(-10). Find the third derivative of 44*f**4 + 3*f**b - 27*f**4 - 25*f**2 wrt f.\nAnswer: 480*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - 11. Let v = r + 4. Suppose 0 = -4*z - 5 + v. Which is smaller: 2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xsdpa. What is prob of picking 1 x, 1 s, and 1 a?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 14 = -3*q + q, -q = -3*l - 18. Suppose -q*y + 14 = -13. Calculate the smallest common multiple of 1\/1 - (1 - 1) and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.4 * -43.54121.\nAnswer: 104.498904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56.45518nm to millimeters.\nAnswer: 0.00005645518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6*(-2)\/(-4) - -183. Let y be (-4)\/(-2)*z\/12. Let q = y + -24. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -152, -563, -1438, -2951, -5276, -8587?\nAnswer: -13058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.53 - 0.07. Let l = 1.9 - 2. Let m = y + l. What is the smallest value in 2, 4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + j - 4. Let m be v(-3). Let u(z) = -3*z**m + z**2 - 2*z**2 + 2 - z**3 + 4*z. Suppose 5*f = 10, -21 = 3*w + f - 4*f. What is u(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 866708912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3\/8 (b) 8 (c) -59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 11:29 AM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15103077*f**3 + 1752294.\nAnswer: 45309231*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/429 and 41\/2959.\nAnswer: 115401","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -5*r**2\/2 + 470336*r - 188134 = 0.\nAnswer: 2\/5, 188134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-1 + -3)) + -1 + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20011 - -200120?\nAnswer: 220201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12199180673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -40*d - 99. Let a(g) = -g**2. What is a(j(x))?\nAnswer: -1600*x**2 - 7920*x - 9801","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eqem when four letters picked without replacement from {e: 3, m: 1, q: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 119200, 119280, 119414, 119602, 119844, 120140?\nAnswer: 120490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**2 - 19*z - 8. What is the remainder when o(12) is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90, -93, -96?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2656*c**2 - 2*c - 2658*c**2 + 2*c.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 199 = -0*w + 4*w, -2*w = -4*k + 236. Is 3 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -4*z + 219, v + 156 = 5*z - 154. List the prime factors of z.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 3*r + 20. Let p(h) = h**3 + 6*h**2 + 5*h. Let b be p(r). Let w = b - -3. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kky when three letters picked without replacement from {y: 1, d: 4, g: 4, b: 3, k: 2, c: 3}.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-15)*n)**17 assuming n is positive.\nAnswer: n**(-238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - w - 2 = -3*w, -2 = -2*m + w. Let i(n) = m*n**2 + n**3 + 8 - 5 + 3*n**2 - 8*n - 2. Is i(-5) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/8 - 17*j**2\/8 - 10*j - 8.\nAnswer: -(j + 1)*(j + 8)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12*((-24)\/9 - -3). Suppose -15 + p = l. Let u = l - -22. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (35 - 0) + (-11021 - -10985)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76 (base 8) to base 13.\nAnswer: 4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 14) to base 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*a = 106*a - h - 11, 4*h = 3*a - 34. Solve -4*v - 10 = a*i - 2, -4*v + 4 = 5*i for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 5*v = 16. Suppose -3*g = -g - 10. Suppose -22 - v = -g*k. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1437879243 to the nearest integer?\nAnswer: 1129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 213 by 213.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 58 = -r + 30, 2070563*r - 2070564*r + 42 = j for j.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -189 + -27. Let n = a - -93. What is the biggest value in 1, 4, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -308 divided by 7\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 26, 0.103 in increasing order.\nAnswer: -25, 0.103, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*3\/16)\/((-3)\/(-2)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4 - 2*j + 0*j)*(-2*j + 681 - 681 + (4 - 3 + 0)*(2 - 2*j - 2)) as z*j**2 + s + v*j and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -4 (b) 3 (c) 14 (d) -89\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 91206 and 1602.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/1607 or 0?\nAnswer: -6\/1607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 44897749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 2. Suppose -6*x = -b - a*x + 6, 4*b + 10 = -5*x. Let c = 53 - 41. Solve b = 4*n + l - c, 5*n - 4*l + 2*l - 2 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9\/47? (a) 2 (b) -0.2 (c) -1 (d) -5 (e) -0.46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (95\/(-5))\/((-6555)\/11385)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 563 + -562. Let r be (3\/(-28))\/(72\/(-14)). Which is greater: m or r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -158*j**2 + 3*j - 12. Let b be k(3). Find the common denominator of 99\/40 and ((-6)\/4)\/(b\/2261).\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 55*w**2 + 91*w + 102. Let f be t(-53). Calculate the highest common factor of 69 and f.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11 - -42?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z**2 - 2*z - 30. Let y be q(-8). Let f = -277\/2 - y. Which is the smallest value? (a) f (b) 2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 57 or -4724?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 15 = 5. Let m(f) = 0*f - 3*f + j*f. Let u(n) = -2*n. Calculate m(u(a)).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37\/660 + 3\/110. Which is the closest to -2\/3? (a) 2\/11 (b) 4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 17*v + 41. Let s be u(-19). What is the first derivative of 97*m - 51*m - 56*m**s - 46*m + 30 wrt m?\nAnswer: -168*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -2\/79 (c) 2 (d) 3 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -27924, -27953, -28002, -28071?\n\"Answer: -10*z**2 + z - 27915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 12:34 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 + 10*j - 5. Let a be m(9). What is the second derivative of 5*v - 2*v + a*v + 5*v**2 wrt v?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/9735348 and 47\/690?\nAnswer: 48676740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 4. Let h = d - 15. Which is the biggest value? (a) h (b) 3\/7 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**3*o*o)\/o)\/(o**(-1\/10)\/o)*o**(-5\/2)\/o**(-3\/5))\/((o*(o*o**(2\/5))\/o*o*o)**44)**(5\/14) assuming o is positive.\nAnswer: o**(-1723\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10517, -12371, -14227, -16085, -17945?\nAnswer: -19807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m = -0*m. Factor -8\/5*q + m - 2\/5*q**3 + 8\/5*q**2.\nAnswer: -2*q*(q - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1315 is divided by 44.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 403.3716 months?\nAnswer: 33.6143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-7)\/((-49)\/(-14)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 3*c = 32 + 5, 2*a - 3*c = -29 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -735 times 3?\nAnswer: -2205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -1\/8, 36392, 2?\nAnswer: 36392","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 16235d (base 16) to base 15\nAnswer: 1d9d30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 - 453*v - 583. Calculate s(-452).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from szsesnsslzzszddzs. Give prob of sequence esl.\nAnswer: 7\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -432 (base 10) to base 2.\nAnswer: -110110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1458092 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4778 * -2.\nAnswer: 9556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 4*a - 2 = 0, 2*t - 3*t + 13 = -5*a. Suppose -41 + 125 = t*v. Suppose 0 = f - 5*f + v. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -2*b**3\/3 + 168. Let m(d) = -6*d - 11*d**2 + 5*d + d. Give m(r(v)).\nAnswer: -44*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -5*m**3 + 6*m**2 - 6. Let u(v) = -23*v**3 + 22*v**2 - 22. Let r(z) = 12*z**3 - 11*z**2 + 11. Let p(o) = 5*r(o) + 3*u(o). Calculate -6*p(q) + 11*w(q).\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 250566 divided by -4.\nAnswer: -125283\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 2*f = 4*r - 3, -3*r - f + 1 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y - 2. Suppose -2*s + 12 = h, -s - 4*h + 2*h = -9. Let m be s\/(10\/(-3))*2. Determine n(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-710)\/66 - 90\/(-990) - -10. Which is the nearest to g? (a) 7 (b) -2\/7 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/6045018 and -49\/24.\nAnswer: 24180072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12148 is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -77416?\nAnswer: -77417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 171040.4 weeks to seconds.\nAnswer: 103445233920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -49 - -26. Let z = 94 + s. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8908*m - 8932*m = -541608. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 423*a - 427*a + 28 = 0. Suppose 25 - a = 2*t. Sort -8, -3, t in ascending order.\nAnswer: -8, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000363459 to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5071 * -2.55.\nAnswer: 12931.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-1) - -25) + -2. Suppose l - 2*k = 3*k - z, 2*l - 2*k = -8. Suppose l = -7*j + 1. Is j != -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -935 and -1838979.\nAnswer: -1839914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -50083.6 minus 9192?\nAnswer: -59275.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111199361?\nAnswer: 7, 13, 1221971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -6. Let y = -2887\/9 - -11431\/36. What is the smallest value in i, y, -1\/6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186*k**3 + 6*k**3 - 60*k**3.\nAnswer: 132*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = 2*v + 51. Let p = 70 + v. Find the second derivative of -p*q**3 + 8*q**3 + 12*q - 16 + 16 wrt q.\nAnswer: -102*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**2 + 1 - 1)*(3*b**3 + 4*b**3 - 2*b**3) + (-1 + 3 + 0)*(b**5 - 2 + 2).\nAnswer: 17*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12188*i**4 - 11198 wrt i.\nAnswer: -48752*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-4 - (-6 - 2)) + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u\/u**(6\/19)))\/u)**(-3\/2)\/(u\/(u*((u*u**(-29))\/u)\/u)*u*u**20*u) assuming u is positive.\nAnswer: u**(-940\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1897379 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of 0*c + 1\/20*c**5 + 0*c**4 + 0 + 0*c**3 + 7*c**2. Let y(v) = 5*v**2. What is k(y(i))?\nAnswer: 75*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**2 - 13*v - 6. Let d be x(-4). Suppose 117 = -5*u + d*u. What is the second derivative of u*w + 4*w + 12*w**5 - 23*w**5 wrt w?\nAnswer: -220*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*r = 1807 + 56. Let l be (-2)\/(-4)*52\/(-1). Let j = r + l. What are the prime factors of j?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -4*g**2 + 43*g + 275. Let x be r(-5). Are 65 and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-20)\/8)\/(-5)*-14. Let b be (3 - d\/(-2))*0. Let j be ((-4)\/6)\/((-12)\/(-18)) - -5. Solve b = -3*i + j*i + 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yiininynyniyyninini. What is prob of sequence ynn?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 - 0.3. Let j = 0.20617 - -0.29383. Put -11\/3, f, 1\/3, j in ascending order.\nAnswer: -11\/3, f, 1\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28480 - 23368652?\nAnswer: -23340172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 5*i + 26. Let l be y(-33). Let t = -129 - l. What is the remainder when 116 is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 101 - 100 + 3*l**2 + l - 2*l**2 - 5*l + l to d*l + v*l**2 + m and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -8. Suppose 3*i - 6 = -3*s, 0 = y*s - 2*i - 2 - 8. Let r = -5\/36 - 55\/36. Which is the second smallest value? (a) r (b) 1\/6 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-6))\/(2132\/429*-66*4\/(-48))?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 33503 + 37?\nAnswer: 3353a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 g when four letters picked without replacement from ogggggeogcegegcg.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -24dc (base 15) to base 14\nAnswer: -2c13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -127781*p**2 + 46059*p - 3 wrt p.\nAnswer: -255562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4455\/378023 or -1?\nAnswer: -4455\/378023","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 120.6 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 377 by 11.\nAnswer: 377\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-4))**(-7\/2))**(-3\/2) assuming b is positive.\nAnswer: b**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2361*x + 6216 = 2213*x for x.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8*1)\/(6\/36). What is the greatest common factor of y and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 474286, 948578, 1422876, 1897180, 2371490?\n\"Answer: 3*b**2 + 474283*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.293? (a) 2\/3 (b) -2\/5 (c) 5\/6 (d) -60\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 4*r = 61, 8 = -17*o - 4*r - 133 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -3*d + 27, -316*a = -320*a - 3*d + 32 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -3*c - 101, -4*c - 9 = -2*u + 39. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - -23) + (-3 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, n: 1, s: 2}. What is prob of sequence sw?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -98 + 100. Let t = 20 + -13. Suppose 2*p - t = -p - 2*n, -5*n - 30 = -2*p. Sort r, 3, p, 0.\nAnswer: 0, r, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - t**2 + 3*t**2 + 2*t + 1)*(-1 - 2 + 1).\nAnswer: -4*t**2 - 4*t - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22222 + -11110?\nAnswer: -111102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 23706655, 47413350, 71120045?\n\"Answer: 23706695*h - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 394 * -221.199\nAnswer: -87152.406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.82 - -1.42. Let t = -5.93 + 2.93. Which is the closest to -1? (a) m (b) -1\/2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/5, -3\/7, 23, -5?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**4*q**(3\/10))\/((((q**14*q)\/q)\/q*q)\/q*q**(-8)))**(-21) assuming q is positive.\nAnswer: q**(147\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 332\/99 - 2\/99. Is h at least as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 5.626087 weeks?\nAnswer: 39.382609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 3*i**2 + 3*i - 12. Let j be a(-9). Let p = 2414 - j. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 799*p + 336*p + 74345 = -623*p - 24103 for p.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f + 20 = 10. Calculate the lowest common multiple of 2 and 122\/f + (-5 - -4).\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + 31. Suppose -z = -6*s + 3*s. Calculate the remainder when 19 is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5965 != 0.18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**12*m*m**(-2\/5)\/m)\/(m**(1\/4)\/m*m)**(2\/23) assuming m is positive.\nAnswer: m**(2663\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p + 14*p + 15*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -0.15.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllll. Give prob of picking 2 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/2 + (-15)\/(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 3*y**2 - 153*y + 150 = 0.\nAnswer: 1, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31411, 50850, 70289?\nAnswer: 89728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*q**2 + 3*q - 3*q - 4*q**2.\nAnswer: 19*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*(r\/(r**(-1\/13)*r))\/r)\/r)\/(r**19\/r*r) assuming r is positive.\nAnswer: r**(-246\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 83.288772 and -0.3.\nAnswer: 82.988772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 202596.\nAnswer: 202596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of g**9\/15120 - g**7\/2100 + g**5\/600 + g**3\/3 - 2. Let h(r) be the third derivative of j(r). Determine x so that h(x) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 710*y**2 + 36*y - 78. Let s(l) = 142*l**2 + 7*l - 15. Let q(w) = -5*i(w) + 26*s(w). Let f(h) = 32*h. Calculate q(f(g)).\nAnswer: 145408*g**2 + 64*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b - 6*b = 95. Suppose -3*z - t = -516, 2*t + 0*t = -5*z + 861. What is the greatest common factor of z and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1464146 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9644\/4400 - 6\/33) + (58 - 60). Let o(k) be the second derivative of 40*k - 1\/10*k**4 - 2\/5*k**2 - u*k**5 + 0 - 3\/10*k**3. Factor o(y).\nAnswer: -(y + 1)**2*(y + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 1383*v**2 - 8. Let f(z) = 2868342*z**2 - 16596. What is -2*f(d) + 4149*h(d)?\nAnswer: 1383*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 107 or 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -r**5\/20 - r**4\/12 - r**3\/2 + 2*r**2 + 8*r. Let g(n) = -n**3 - n**2 - 3*n + 5. Calculate -4*g(y) + 5*p(y).\nAnswer: -y**3 - y**2 - 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -89602 > -89602?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3 + 91323*y**2 - 547911*y + 821853.\nAnswer: -(y - 91317)*(y - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p + 3. What is the remainder when 3 is divided by u(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 305959562.\nAnswer: 2, 152979781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -122 - -124. Let d(a) be the first derivative of -5\/4*a**4 + 0*a**p - 11 + 2\/3*a**3 - 1\/6*a**6 + 0*a + 4\/5*a**5. Let d(r) = 0. What is r?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -2*q**4\/7 + 33708*q**3\/7 - 4786576*q**2\/7 + 17267340*q - 849754350\/7 = 0?\nAnswer: 15, 113, 16711","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1273600, -1274145, -1274690, -1275235, -1275780, -1276325?\nAnswer: -1276870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 69 = 21. Calculate the least common multiple of 2 and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of -493*z**6\/30 - 586*z**4\/3 + 986*z. What is the third derivative of n(q) wrt q?\nAnswer: -11832*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) 0.0639 (b) -15 (c) -2.2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15405, 15397, 15389, 15381?\nAnswer: 15373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 122695687, 245391367, 368087047, 490782727, 613478407?\n\"Answer: 122695680*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 470 and 525?\nAnswer: 49350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 8) to base 6.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 10:40 AM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 10*s. Let q(z) be the first derivative of -2*z**3 - 11. Calculate u(q(p)).\nAnswer: -60*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of 0*k - 1\/2*k**2 + 88. Let r(j) = 7*j**2 + 12*j. Calculate t(r(b)).\nAnswer: -7*b**2 - 12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/80 of a tonne in grams?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 5 - 199335*k**3 + 47899*k**3 + 1.\nAnswer: -151436*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + g + 9 = 0, -5*g - 5 = 4*s - 2. Let q be (-4 - 96\/s)*-1. Suppose 1815 = 3*n + q. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a decade in months?\nAnswer: 1008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1642.\nAnswer: 2, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -l - 87. Let a be l*3\/(-2 + 3). Is 6 a factor of a\/(-15) + (-1)\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(20)\/(sqrt(80)\/sqrt(8)*-1))**2.\nAnswer: 6*sqrt(2) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1321 (base 10) in base 11?\nAnswer: aa1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8634\/29 - -34275\/116. Let v(y) = y + 7. Let x be v(0). Suppose 0 = -t + 4*l + 11, -3*l - 5 - x = 3*t. Which is greater: t or k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231*a - 244 + 1640 = -683 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*x = 1988 + 1646 for x.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rdiccppcdcrri. What is prob of sequence pdcc?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1693426*m*p**5 + 18466432*m*p + 10*p**5 - 2*p**2 wrt p.\nAnswer: -101605560*m*p**2 + 600*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -206, -210, -214, -218?\nAnswer: -222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-k + 3*k + 0*k)*(1 - 2 + 2) + 2*k + 2*k - 2*k)*(2 + k - 2).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -208884 divided by -52\nAnswer: 4017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157391084?\nAnswer: 2, 149, 181, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + 1. Suppose -3*j + 4*j + 16*j = -30*j. Solve t = -4*p - j*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1012112 (base 4) to base 15.\nAnswer: -1502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1437277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -97343650 rounded to the nearest 100000?\nAnswer: -97300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 128, 130, 140, 164, 208?\n\"Answer: u**3 - 2*u**2 + u + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/4 of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + 23751)*(-40)\/(-8 - -3). What is n rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1125 and 5760?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -5, 0, 5, 3, 6, 49.\nAnswer: -5, 0, 3, 5, 6, 9, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 6:49 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1090*(-11 - -13) + 10.\nAnswer: 2, 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -b + b + 2*b**3 + 3*b**4 + 2*b - 4*b - 3*b**2 = 0.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1581*a**5\/2 + 98021*a**4\/2 + 273451*a**3\/2 - 373289*a**2\/2 + 118*a = 0. Calculate a.\nAnswer: -59, -4, 0, 1\/1581, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(1\/4))\/x)\/x)**(-2\/97)*x**(-1\/4)*x**(3\/2)*((x*(x*x**(-4))\/x)\/x**(3\/2))**(-25\/7) assuming x is positive.\nAnswer: x**(47087\/2716)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1492.006068 + 1492. What is x rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h\/h**(-2))**(-2\/113))**(2\/77)\/(h**(-4\/9)\/(((h\/h**1*h)\/h)\/h)*h\/h**(-1\/10)*h**7) assuming h is positive.\nAnswer: h**(-6779879\/783090)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p. Let j(w) = -1. Suppose 0 = -s + 109 - 21. Let r be (-22)\/s + 38\/(-8). Let x(k) = k - 2. Let v(u) = r*j(u) + 3*x(u). What is -4*l(m) - v(m)?\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -331749*w**3 - 3*w**2 - 694653.\nAnswer: -1990494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000137138728 to five decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 472487103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3138*s**2 - 82717*s**2 + 41116*s**2 - 120659*s**2 - 30095*s**2.\nAnswer: -195493*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -559, -4\/7, -4, 1\/7, 0.06 in descending order.\nAnswer: 1\/7, 0.06, -4\/7, -4, -559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.339 (b) -1\/2 (c) 0 (d) 1\/7 (e) -57 (f) -3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 416 and 182.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h + 4*b + 10 = 2*h, 0 = -h - 2*b - 2. Let a be 1 + (-4 - h) + 1. Suppose a*o = -4*o. Solve s - 10 = x, o*x - 3*s = -5*x - 40 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-3\/8)\/(q\/(q*q**14)))\/(q**3*q*q**(7\/2)))**48)**(-1\/34) assuming q is positive.\nAnswer: q**(-147\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6791 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 59991503797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 807 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 7560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -4*o**3 - 5*o + 5. Let i = 18 - 17. Let q(w) = 0 + 2 - i - w. Let d(k) = -k**2 + 9*k + 11. Let s be d(10). Determine s*x(c) - 5*q(c).\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2238 is divided by 277.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*z**4 + 6\/7*z**3 + 0*z**2 - 3\/7*z**5 - 3\/7*z.\nAnswer: -3*z*(z - 1)**2*(z + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.2, 8, 0.84, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 + 0.4. Suppose 3*i = 94*m - 98*m - 138, -3*m + 2*i = 146. Which is the second biggest value? (a) o (b) 5 (c) m (d) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 586186 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 30367 in -4, -81, 0.2, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.01 + 0.69. Let f = -0.724 + c. Round f to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from bbitini.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -2*y - 2*p - 10, -2*p = -5*y + 19. Let o = y + -1. Solve -l = o*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 5*v + 101. Let a be d(-20). Let p(h) = -h - 7. Let o be p(-6). Let n be (-99)\/190 + o\/(-2). Is n < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 2. Calculate the highest common factor of m and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -x**4\/6 - x**3 + 67*x**2\/6 - 10*x = 0.\nAnswer: -12, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1249 a factor of 26643048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 3)*((2*b - 6*b + 2*b)*(-1 + 2 + 1) + 2*b + 2*b - 2*b + 6 - 3*b - 6) + 3*b + 0*b + 6*b.\nAnswer: 29*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*a - 21*a - a - 7*a - 16*a.\nAnswer: -35*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-54)\/(-13) - (-14)\/(-91). Suppose -c*g + 0*g - 104 = 0. Let n = 46 + g. What is the smallest common multiple of 4 and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.7 - 0.2. Let t = -859 - -859.05. Sort o, -1\/2, t.\nAnswer: -1\/2, t, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/12350 and -109\/156.\nAnswer: 74100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*d - 6*d = 0. Find the first derivative of 43 - 91 + d*x + 0*x + 178 + 63*x**3 wrt x.\nAnswer: 189*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2777*h + 2770*h - 8351*h + 3*h**3 + 2804*h.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/3)\/h*h)\/h**(1\/4)*((h**(-1)*h)\/h*h)\/(h\/(h*h*h**(5\/3))) assuming h is positive.\nAnswer: h**(25\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*s = 2*f + 28, 4*f + 32 = -2*s. Suppose -3 = -6*x + 9*x. Let j be f\/(-6) + 1*x. Let t(o) = -o**3 - o**2 + o - 7. Give t(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 37.2 and 11.\nAnswer: 48.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 5*x + 496 = -3114, 3*x + 12 = 0. Calculate the greatest common factor of 22 and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-45) - (-117)\/(-135)) + 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffct when four letters picked without replacement from {f: 2, t: 4, c: 8}.\nAnswer: 8\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/10 + (-48)\/12 + (-42)\/(-10). Which is the third smallest value? (a) 21 (b) -1 (c) 0.2 (d) -1\/2 (e) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 668071045.\nAnswer: 5, 7177, 18617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*n + 31 - 3 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 528808 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4376554*i**2*q - 94*i**2 + i*r - 1803*i - 3*q*r - 2*r wrt q.\nAnswer: -4376554*i**2 - 3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28645)\/(-493) + (28 - 86).\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f - 94 - 89 + 2*f**2 - 3*f**2 + 190. Suppose n + 2 = -1. Give v(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -109278 by 8406.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -11*a**2 + 4*a + 4. Let u(i) = -22*i**2 + 9*i + 9. Determine -9*j(t) + 4*u(t).\nAnswer: 11*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -292, 701, 29.\nAnswer: -292, 29, 701","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 134, -1\/5, -0.1945?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 4*q**4 + 5160*q**3 - 9661500*q**2 - 12671100000*q = 0?\nAnswer: -1425, 0, 1560","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39 or 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -1\/12*u**4 + 9\/20*u**5 + 5\/6*u**3 - 12*u + 0*u**2 + 0. What is the remainder when p(2) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -679.888\nAnswer: -2719.552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m. Let x(r) be the first derivative of -r**2\/2 - 19. Let i be 50\/(-8) + 1\/4. Let z(w) = i*d(w) - 3*x(w). Give z(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1203400 divided by 27350.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -528*f**2 - 3*f + 1. Let x be h(1). Let b = -482 - x. Is b a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78365 divided by -60.\nAnswer: -15673\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4136\/2585*5\/124\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2842 and 10266.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1059, 1211, 1363?\n\"Answer: 152*n + 907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1444011?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 13\/4 of a week?\nAnswer: 32760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/(-2))\/((-60)\/(-40)). Solve 2*b = -0*b - 5*z - 15, 12 = -a*b - 2*z for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 151816106?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -152\/11 (b) 0.0077 (c) 2 (d) -0.5 (e) 4 (f) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3002302300 + -1?\nAnswer: 3002302233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 574 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11739 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2058 or -2059?\nAnswer: -2058","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/4*(-1 + 13). Let x(p) = -6*p - 10. Let t(h) = -5*h - 9. Let w(n) = 7*t(n) - 6*x(n). Is 6 a factor of w(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110110100111011010 + -11101?\nAnswer: -1110110100111110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*o**2 - 3*o**2 - 2*o**2.\nAnswer: -19*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 4*g**2 + 14*g - 8. Let p be v(6). Let c be p\/(-18) + (-107796)\/(-54). Suppose -4*r - c = -8*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8761 = -389*y - 3207 + 1465 for y.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -23, -45, -65, -83, -99, -113?\n\"Answer: p**2 - 25*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2b (base 15) to base 13\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22963.5185709413 - 35046141.5185703413. Let c = k + 35023181. Let a = c - 3. What is a rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 5*w = 45, 9*k + 15*k - w - 27 = 20*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {u: 1, c: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 45 (b) 8 (c) -1 (d) 1\/41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 11:07 AM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 + -21. Let f = 0.8 - -0.2. Let p = -1.2 + f. Sort p, -1, j in ascending order.\nAnswer: -1, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 704 and 2222?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + -227?\nAnswer: -237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*s + 277*s + 45*s = -3204 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37 - 257\/7. Let n = 0.1 + 0.4. Which is the closest to -2\/7? (a) t (b) 5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7637000 + 1?\nAnswer: -7636777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6886015*b**2 - 4 - 6886003*b**2 + 4 + b**3.\nAnswer: b**3 + 12*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 5*l**5 + 5225*l**4 - 26225*l**3 + 26275*l**2 + 26220*l - 31500 = 0?\nAnswer: -1050, -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -3, -2056 in ascending order.\nAnswer: -2056, -22, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m - 15. Let h be t(15). Suppose h = 4*v - 16, 0*d + 904 = 2*d - 5*v. Suppose -4*i + 5*p + d = -i, 0 = 2*p. What are the prime factors of i?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -6*w. Let v(h) = 6 - 12 + 2*h + 6. Determine k(v(o)).\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-98)\/(-4)*(1107\/15498)\/((2\/1)\/(-14)).\nAnswer: -49\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 710 + -621. Solve -23 + 84*l - x + 22*l - 15*l**2 - 34*l + l**3 = 0 for l.\nAnswer: 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x = -11*x - 20. Suppose -2*c + 4*v - x = 0, -c + 5*v = -0*c + 25. Suppose c = -2*u - 0*u. What is the nearest to u in -0.04, 4, 1?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 + 0.34?\nAnswer: -69.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 5*r + 48. Let v be w(-9). What is the second derivative of 262*h**v - 84*h**5 - 262*h**3 - 76*h wrt h?\nAnswer: -1680*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -55, -233, -743, -1753, -3431, -5945, -9463?\n\"Answer: -28*n**3 + 2*n**2 + 12*n - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 12:10 PM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 0.5, 169, 2?\nAnswer: 169","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -7. Suppose 3*i + 6 = -s*j, 5*i = 3*j - 3 - 7. Let q = -11 - -16. Put q, j, -3 in increasing order.\nAnswer: -3, j, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 5*l**3 + 5*l**2 - 3*l - 3. Let d(k) = -k**3 + k + 1. Let q(m) = -3*d(m) - g(m). Find the third derivative of q(h) wrt h.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -7509, -105, 5, -1 in ascending order.\nAnswer: -7509, -105, -2, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*5*(sqrt(52) - (sqrt(52) - (sqrt(52) - (sqrt(260)\/sqrt(5))**2 - sqrt(52)) - sqrt(52) - sqrt(52))) - (-4*(2*sqrt(91) + sqrt(91))\/sqrt(7) + 4))*-2.\nAnswer: -2072 + 136*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 54474971 greater than or equal to 54474972?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 1747*w**3 - w**2 - 27*w - 28. Calculate z(-1).\nAnswer: -1749","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 166*j - 1487. Calculate t(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2490 + -2493. Put 11, u, 9 in decreasing order.\nAnswer: 11, 9, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o - 16*o - 24*o to the form h*o + n and give h.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**3 - 2*f + 0*f**2 + 0*f**2 - f - 2*f**4 as w*f**2 + z*f**3 + a*f + y + x*f**4 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10356046, 20712085, 31068118, 41424145, 51780166?\nAnswer: 62136181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**2 + 0*q + 0*q + (1 + 2 - 2)*(2*q**2 + 0*q**2 + 0*q**2) - 60*q**2 + 23*q**2 + 24*q**2.\nAnswer: -10*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 68 + -42. Suppose -4*c = 3*u - z, 49 = u + 4*u + c. Suppose -b = b - u. Let g(o) = o**2 - 5*o + 1. What is g(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 times -0.029?\nAnswer: 0.0261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**2 + 16088915*o - 64355740.\nAnswer: 5*(o - 4)*(o + 3217787)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -23415 divided by -3?\nAnswer: 7805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -4*r - 5*m - 5, -1 = -3*r + m. Suppose 0*s - 3*y = -2*s + 151, r = -y + 3. Calculate the greatest common divisor of 60 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41199 to the power of 1\/2, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lkkqoozkkzlo. What is prob of picking 2 o, 1 q, and 1 z?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -r**4\/24 - 4*r**3\/3 - 98*r**2. Calculate y(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -3*m + 5, -5*m = 3*g - g - 2. Let v = -542 + 548. Calculate the remainder when v is divided by 0 - g - (-18 - -14).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -66 in 3\/10, 299, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 5. Suppose 0 = 2*k - 0*k - x. Suppose y + 5 = 7. Solve 13 = -y*w + k for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 2 - 23 - 26*i + 7 + 7 + 114*i.\nAnswer: 88*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 greater than 133.386654?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((1*sqrt(95) - sqrt(95))*2 - sqrt(95))*1)\/(sqrt(180)*2*-4) + 2)*-1*-2.\nAnswer: sqrt(19)\/24 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + k**2 - 7*k - 4. What are the prime factors of d(4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 12:19 AM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s - 18. Give n(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 5, -54.17, -0.2, 1\/6, 0.5, 87?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -477 equal to -478?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 32\/6 - 2\/6. Let c = 1193 - 1133. Suppose -28 = -h + 2*p, -4*p + c = a*h - 24. Calculate the remainder when h is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 3*i**2 - 3*i + 2. Let v be y(2). Suppose -w**2 - w + 5*w + v*w**2 + 3*w**2 = 0. Calculate w.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 75560076 and -84.\nAnswer: 75559992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-86845)\/(-5158593)*36\/10?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7298448.7 + 2363\nAnswer: -7296085.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, r: 5, x: 7}. What is prob of picking 2 n?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by -3 - (16\/16)\/(1\/(-13))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8843334?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 39*y + 24. Let c(m) = 2*m + 1. Let d(u) = 21*c(u) - s(u). Determine d(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 632896 divided by -2?\nAnswer: -316448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1539)*2 + 1 - sqrt(1539)))**2 + -4 + (sqrt(76)\/sqrt(4)*-5*6 - (1*(sqrt(228) + sqrt(228) + (sqrt(228) - 2*sqrt(228)))\/sqrt(12))**2).\nAnswer: 132*sqrt(19) + 13837","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 207263c (base 13) to base 9\nAnswer: 20486008","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-80)\/(-24))\/((-15145)\/2796)\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 1425*x. Let b(h) = -89*h. What is 33*b(s) + 2*z(s)?\nAnswer: -87*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 932 - -1206. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d + 53 - 247 = d - 71*r, 38*d + 3*r + 24 = 36*d for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iwwiwmwmibwwsvwmbm. What is prob of picking 1 m and 1 s?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 6*f**2 - 3*f - 5. Let c be k(-4). Suppose 5*l + 2*n = 4*n + c, 8 = 2*l + 3*n. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 142 (base 10) to base 9.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(100)*-4 - sqrt(25)) + sqrt(25) - sqrt(25))\/((sqrt(245) - -1*sqrt(245)) + sqrt(245) + sqrt(245) - sqrt(245)).\nAnswer: -3*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qhqqfffqfqqqfqfqeek. What is prob of picking 1 k and 2 f?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**2 + 111*u + 165. Give w(-52).\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 1\/6, 2285, 20, -0.3 in increasing order.\nAnswer: -2, -0.3, 1\/6, 5, 20, 2285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -47 - -43. Let o(q) = q + 8. Let x be o(f). Solve 4*i = 2*j - 10, x*j + j = -25 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/1687770 and -26\/843885?\nAnswer: 1687770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8833 = -595*j + 1693 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 32165\nAnswer: -160825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2749*j**2 - 4*j + 4. Let z(n) = -5499*n**2 - 7*n + 7. Calculate 7*d(v) - 4*z(v).\nAnswer: 2753*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -12 - 10 + 26 + 3*h + h**2. Let k be l(-3). Solve 25 = -3*j + 5*s, -j + k*s - 15 = -s for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*a + 264 = -32*a + 12*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 10425796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10625392?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -144032212440?\nAnswer: -144032212442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 + 17. Suppose 0*b + 4*b = 0. Let f = h - b. Solve f = 4*r - 12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, x: 2, e: 1, v: 6}. Give prob of sequence xaa.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 343123.779 rounded to the nearest ten thousand?\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 35, 37, 35, 29, 19?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 916320 - -1753452\nAnswer: 2669772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6430 times 0.1\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 4. Let b be 2\/(d\/(6\/(-4))). Let y(n) = b*n + 3*n - 5*n + 1. Calculate y(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 + 4*l - 3. Suppose 0 = 8*u - 10*u + 40. Let t = -16 + u. Give a(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, y: 4, d: 2, e: 1, q: 2}. What is prob of sequence qyuy?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -0.4, -77?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1108 is divided by 170.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-9 - -4 - -3 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**14\/((o**(-2)\/o)\/o))**(-50) assuming o is positive.\nAnswer: o**(-900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -451133*i**4 + 3*i**2 - 130027.\nAnswer: -10827192*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + -1. Let p = -1 - u. Which is smaller: p or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/14 - ((-1782)\/(-770) - 2)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (6 - (11 + -2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 137 divided by -880\nAnswer: -137\/880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/2*(-2)\/(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -10*s + 8. Let h be j(-3). Suppose 5*w = h - 13. Suppose -w*o + 39 + 56 = 0. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330 a factor of 289320240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 10*i**2 - 12*i + 34. Let u be o(-8). Let m(p) = 2*p - 16. Let t be m(10). Suppose v - t*v = 0. Solve 10 = -5*x - v*x, -x - 10 = -u*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 6 (b) -84 (c) 0.0643\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 48105726 a multiple of 1480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1094973.\nAnswer: 3, 11, 33181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3, 47, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 4:46 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -782533*-0.3\nAnswer: 234759.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 7) to base 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**29\/(f\/(f*(f\/(f*f**(-6\/13)\/f*f))\/f*f)) assuming f is positive.\nAnswer: f**(383\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 52*h**3 - 9*h - 4 - 2*h**2 - 2*h**4 - 14*h**3 - 56*h**3 in the form f + i*h**2 + t*h**3 + r*h + m*h**4 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -95.1 + 91. Let b = a + 0.1. What is the closest to 0 in b, 1, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18818169 to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63\/540 - (0 - 4\/(-16)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/16 + (-25174)\/67120*(1 - 0). Which is greater: r or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-102 - -96 - (-3 - -1)) + 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 313 - 143. Let a = d - 177. Sort -1, -3, -2, a in ascending order.\nAnswer: a, -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -110, -155, -192, -221, -242, -255?\n\"Answer: 4*t**2 - 57*t - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 + 2*s + 5. What is the units digit of f(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - l = -4*m - 4, 5*m = -2*l + 14. Solve 5*k - 15 = m*c + 16, -2*k + 2*c = -16 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1712 (base 11) in base 5?\nAnswer: 32231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.6 - 1.8. Let n = 0.2 + y. Let q = -6 - -5.7. Which is the nearest to n? (a) 0.2 (b) 5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 2*u**2 - u + 2. Let l be j(2). Suppose i - 2 = l, -y + 65 = 4*i - i. What is the remainder when y is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 24*g**2 + 29*g - 16. Is b(-22) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 424 + ((-291)\/(-194))\/((-6)\/(-20)) and 110?\nAnswer: 4290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7052 + -7051.89. Which is the nearest to 0? (a) 7\/4 (b) 0.5 (c) k (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10808, -21613, -32428, -43259, -54112, -64993, -75908?\nAnswer: -86863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000392144172 rounded to seven dps?\nAnswer: 0.0003921","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 - 3*q - 19)*(0*q + q - 3 - 2*q) + (60 - 30 + 7)*(-q**2 + q**2 - q**2).\nAnswer: -34*q**2 + 9*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*r - 38*r - 5 + 6*r**2 - 13*r**3 + 10*r**3 to c + k*r + f*r**3 + p*r**2 and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - 13. Let i = 1 + 2. Calculate the least common multiple of i and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/424 and 89\/8?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 25*w + 3 = 31*w, -5*w + 10 = -4*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1142296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -398934*d**2*n + 73122253*d**2 + 37*n with respect to n.\nAnswer: -398934*d**2 + 37","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -4\/9, -7, 4\/3, -0.038, 6, 1\/5, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -174, -339, -496, -645, -786, -919, -1044?\nAnswer: -1161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 4:07 PM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 110 = -0*d. Let j = 22 - d. Suppose -f - 2*f + 9 = j. Solve -m + 4 = f*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**2 + 5*x - 2. Let u(j) = -3*j**2 - 11*j + 5. Suppose -5 - 3 = -4*l. Let a(c) = l*u(c) + 5*b(c). What is the second derivative of a(m) wrt m?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (8 - ((-3 - -29) + -9) - 7)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n. Let i(d) = -4*d**2 - 2*d**2 + 10*d**2. Give i(a(h)).\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 3*m + 115. Let w = m + 40. Differentiate -1065*p - w*p**2 + 2 + 1065*p wrt p.\nAnswer: -34*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + -6 + 25 + 16 + 6?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (236\/2 - 0)*(-150 - -152). Let o = -121 + n. Let v be (2 - 48)\/((-1)\/1). Calculate the greatest common divisor of v and o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.05733 + -0.05733. Let s = 1 + -1.1. Which is greater: s or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*g**3*r**3 - 3*g**3*r**2 - 53*g**3*r - g**3 - 20*g**2*r + 4*g*r**3 + 147*r wrt g.\nAnswer: 96*r**3 - 18*r**2 - 318*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2*j + 2*j = 10, -31 = 5*i - 4*j. Let g = -0.9 - -3.2. Let b = -1.3 + g. What is the third biggest value in i, 4, b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63 (base 9) to base 16.\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1104022 + 23?\nAnswer: -1103444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 463450?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u + 2*z + 5, 3*z = u + u + 5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 358.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10\/(-25))\/(42\/(-35)). Let m(h) be the first derivative of 5*h + f*h**3 - 2*h**2 + 6. Give m(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 392*i - 23. Let a(p) = -96*p + 6. Give -9*a(q) - 2*h(q).\nAnswer: 80*q - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-736)\/(-460) - (-10)\/25?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -32, -105, -176, -245, -312, -377, -440?\n\"Answer: i**2 - 76*i + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-70)\/(-7))\/(-300)*-40)\/(32\/1848).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 2*i + 3. Suppose -2*t + 0 + 8 = 0. What is o(t)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c + 6. Let t be g(6). What is the units digit of (69\/t)\/(2\/8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-199)\/1592 - 17\/(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -149\/704 or -1?\nAnswer: -149\/704","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30 by -15.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -3*c - 1. Let i be t(-3). Suppose i - 16 = 2*r. Let z be r*(-9)\/84*-3*1. Is z <= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -132*v**4 - 43*v**3 + 8*v**2 + 1281994*v wrt v?\nAnswer: -1584*v**2 - 258*v + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (326*d - 6*d + 220*d)*(d + 2 + 0 + 0*d).\nAnswer: 540*d**2 + 1080*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -7706712 times -0.32\nAnswer: 2466147.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000173 rounded to 5 dps?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence smm when three letters picked without replacement from {m: 3, b: 3, z: 4, s: 1}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278*a - 953*a + 28*a + 86*a - 6702 = 0 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.07168862 and 7329.\nAnswer: 7328.92831138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1300) + sqrt(1300)*-2 + 5 + sqrt(1300) + (sqrt(78)\/sqrt(2)*2)\/sqrt(3).\nAnswer: 5 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2960?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -61*m - 963. Calculate the remainder when 271 is divided by o(-16).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -31 + 200*d**2 - 97*d**2 - 17 - 104*d**2. Let j(l) = 8*l. What is b(j(g))?\nAnswer: -64*g**2 - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 67740 and 146.3?\nAnswer: 9910362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 607795 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = j - a, -2*j - 2*j - 2*a = 74. Let h be (-2)\/(-9) + j\/72. What is the third derivative of -s**3 - 18*s**2 + h*s**3 - 17*s**3 wrt s?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3434*f*q**4 - 484*f*q**3 + 5572*f*q**2 - 2*q**4 - 135 wrt q?\nAnswer: -82416*f*q - 2904*f - 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + 12. Let d = 7.5 + w. What is d rounded to zero dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -116*h - 116*h + 220*h + 60 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5*o = 2709, -2679 = -2*y + 4*o - 9*o. Suppose 4*q - y = 3129. What are the prime factors of q?\nAnswer: 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -k - 3*h, -5*h + 26134 = 3*k + 26196 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -24 and -228.\nAnswer: 5472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5616)\/1404)\/((-8)\/(-14)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.56016 - -0.16784. What is l rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1910 divided by -5.\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/51))**(-1\/61)\/(p**10*p)**(-22) assuming p is positive.\nAnswer: p**(752860\/3111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 397058385 to the power of 1\/2, to the nearest integer?\nAnswer: 19926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.25, 2, 10\/43, 18\/5, -2?\nAnswer: 10\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 35*p. Let t(x) = -630476 + 86*x + 630475 + 88*x. Determine t(n(g)).\nAnswer: 6090*g - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/4370 and -17\/634.\nAnswer: 1385290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1156+-5.362\nAnswer: -1161.362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-13) - 38\/78. Let w = 5.03 + -5. Let o = w + -0.53. Put o, h, -5 in ascending order.\nAnswer: -5, o, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9\/8, 2, -0.8, 9, 1\/9, 5 in decreasing order.\nAnswer: 9, 5, 2, 1\/9, -0.8, -9\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*j**3 - 4788571*j**2*u**3 - 399154*j*u**3 + 3*u**3 wrt j?\nAnswer: -42*j - 9577142*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 141\/21 - 8\/(-28). Calculate the highest common factor of y and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 3)*(4*z**2 - 54 - 2*z**2 - 2*z + 57).\nAnswer: 4*z**2 - 4*z + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 15 = -4*k, i - k = 0. What is the third derivative of i*p**4 + 6*p**2 - 2*p**2 + 2*p**2 + 5*p**4 wrt p?\nAnswer: 240*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-18)\/20)\/((-33)\/55))\/((-342)\/(-24)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3352\/5 + (-15)\/(-25). Let s = 1949 + o. What is s rounded to the nearest 100?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 10:31 AM?\nAnswer: 2:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, y: 1, s: 2, o: 1}. Give prob of picking 1 s and 3 u.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 6*c**2 + 3. Suppose 0 = 11*b + 2134 - 2233. Calculate the lowest common multiple of b and d(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -798?\nAnswer: -159.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, 52, -11, -4, 3, 0.209?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/161, -18, -12, 0, -5?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2939?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 373965?\nAnswer: 3, 5, 107, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0178 and -0.1?\nAnswer: -0.00178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.19917 to 2 dps.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*t**3*z - 3*t**3 - 42*t**2*z + 2*t**2 - 2*t*z - 614*t + z wrt t.\nAnswer: -24*t*z - 18*t - 84*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7319329, -7319328, -7319327, -7319326, -7319325?\nAnswer: -7319324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p + 19. Let a be f(16). Sort -32, -2, a.\nAnswer: -32, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -2*z**4\/5 - 321540*z**3 - 30545738*z**2\/5 - 25722552*z + 32153240 = 0?\nAnswer: -803831, -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240266 is divided by 242?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.62 * -0.5.\nAnswer: -3.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6532 - -6531.9999382. Round p to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2331 (base 4) to base 15.\nAnswer: -c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 106 + 1094. What is q rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12872 + 12911. Calculate the remainder when 815 is divided by l.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/7)\/d)\/d)**(-1\/14)\/((d**(-1)*d)\/d)**(-35)*d*d**(-3\/5)*d**4*d\/(d*d**0)*d**5 assuming d is positive.\nAnswer: d**(-6232\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1782461 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 105021, 105036, 105053, 105072, 105093, 105116, 105141?\n\"Answer: r**2 + 12*r + 105008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(-2) - (-6)\/12 - 1. Put 2, -5, 0, d in increasing order.\nAnswer: -5, 0, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -460.4 - -460. What is the nearest to -0.1 in -7, k, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yg when two letters picked without replacement from xudyfdgfu?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4454124?\nAnswer: 2, 3, 371177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 12*t + 148. Let m be o(-12). Let b be -3*4\/18*-6. Suppose -14 - 38 = -b*p. Solve p + 3 = m*n - d, 5*d + 32 = 4*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 184 = 480. Find the second derivative of d**2 + 43*d + d**2 + 133*d**5 - t*d**5 wrt d.\nAnswer: -300*d**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -26 - 2500?\nAnswer: -2526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4829 (base 16) to base 8.\nAnswer: -44051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198161 is divided by 3261.\nAnswer: 2501","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -33052, -66103, -99140, -132157, -165148, -198107, -231028, -263905?\n\"Answer: c**3 + c**2 - 33061*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) 2 (c) -0.2 (d) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -478*g**2. Let m(z) = z**2 - 3*z - 1. Let k(b) = 4*b**2 - 9*b - 3. Let s(a) = -5*k(a) + 15*m(a). Give x(s(p)).\nAnswer: -11950*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 15*f - d = 35*f - 84, 62*f - 64*f = -2*d + 24 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 8*x**2 + 7*x - 2. Let r be t(-6). Suppose r = -0*a + a. Suppose 4*v + 3*c - a = -c, -5*v + 43 = c. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 102, 89, 68, 39, 2?\n\"Answer: -4*o**2 - o + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/(-48))\/(2*(-2)\/12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1128, 2256, 3384?\n\"Answer: 1128*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6829046 = 223*q + 6851569 for q.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*s = -14*s - 156*p + 152*p + 174, -s - p = -39 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 4*y**5 + 14*y**4 - 30*y**3 + 26*y**2 + 4*y - 6. Let f(o) = o**5 + 2*o - 1. Let k(j) = -6*f(j) + x(j). Solve k(n) = 0 for n.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*b - 6*b + b**2)*(b**3 + 3*b**3 - 5*b**3).\nAnswer: -b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93155?\nAnswer: 5, 31, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*s + 28*s + 33*s - 33486 = 0. What is the ten thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 333333 and 223839?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 9:38 AM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 5 (b) 19\/4 (c) -1\/5 (d) 0 (e) 7 (f) 2 (g) -8\/173\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express t - t - 4*t**2 + (t**2 + 3*t - 3*t)*(1 + 4 - 3) - 4*t**2 + 3*t**2 + 2*t**2 + (-11*t + 13*t + 30*t)*(t + 6*t - 3*t) as a*t**2 + f + i*t and give a.\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r + 6*r - 14076 + 14214.\nAnswer: 2*r + 138","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llvvvlvvllvl. Give prob of sequence llv.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -13. Let l = 1.2 - 1. What is the nearest to -1 in l, 4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*y**3 - 5*y**2 + 121*y**3 + 4*y**2 - 292 - 75*y**3 as v + p*y**3 + s*y**2 + n*y and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5369, 10748, 16135, 21530?\nAnswer: 26933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*r - 2*r - 2*r)*((-1 - 6 + 1)*(2 + 3 - 4) + 1 - 1 + 4).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five halves of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -13313651*p. Let g(l) = -l. Calculate g(o(t)).\nAnswer: 13313651*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1046000 to the nearest 10000.\nAnswer: -1050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 120582 divided by 154?\nAnswer: 783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z = -107579 - 20561. Let u = z + -8317. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/6 (b) -9 (c) 4831 (d) -1 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3189?\nAnswer: 3, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 6619036.2 to the nearest one thousand.\nAnswer: 6619000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - (-2 + 8 + 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 52 - 43. Let m be ((-3)\/(-5))\/(n\/6). Factor 6\/5*y**5 + 0 + 0*y**2 + 0*y + m*y**3 - 8\/5*y**4.\nAnswer: 2*y**3*(y - 1)*(3*y - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132*s - 47*s - 129*s + 3 + 417*s - 123*s.\nAnswer: -14*s + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, d: 1, f: 7}. Give prob of picking 3 f.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of l**5\/60 + 7*l**4\/24 + 4*l**3\/3 + 735*l**2. Let j be (1 - 0)*-2 - 4. Let d be y(j). Solve z + d*z = 12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1568*i + 84871 + 53113 = 0 for i.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*i - 89 + 305 = 48*i. Sort i, 1, -3, 41.\nAnswer: -3, 1, i, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 7. Suppose f = -4*y + 109 + 63. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, -2, 5, -8, 34 in ascending order.\nAnswer: -8, -3, -2, -1, 5, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 45181 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -234 by -21789.\nAnswer: 26\/2421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 2, t: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/12 - 32\/48.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = l + 2*v - 22, -66 = -3*l + v. Solve -4*y - 1 = -n - 5, -3*n = 5*y - l for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.59 - 0.42. Let f = 0.170166 - l. Round f to five dps.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11696*h + 13 + 5 - 18.\nAnswer: 11696*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -1221 + 815. What is the greatest common divisor of 551 and t?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*b*y**3 + 18*b*y + 559*y**3 wrt b?\nAnswer: 8*y**3 + 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -7038*m**3 + 6958*m**3 + 80*m - 4 + m**2 + 3*m**2 + 0*m**2 = 0. What is m?\nAnswer: -1, 1\/20, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65676 divided by -21892.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164*m + 240*m + 321*m.\nAnswer: 397*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 + 120 + -79 - -61?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23186 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 752, 6001, 20248, 47993, 93736, 161977, 257216?\nAnswer: 383953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -28*u**2. Suppose 4*k - 119 = -3*f, -2*k - 3*f + 81 - 14 = 0. Let o(c) = 12 - k + 14 - c. Determine z(o(v)).\nAnswer: -28*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**2 + 2*b**2 - 3*b**2 + (-2*b - 3 + 3)*(-5*b + 2*b + 2*b) - 2*b**2 + 3*b**2 + b**2 + b - b**2 - b.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1456 and 2574?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.5574 - 2952665841?\nAnswer: -2952665832.4426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.4 - -6.3. Let v = q + -2.8999991. Round v to seven decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 142*w**2 + 68*w**2 - 91*w**2.\nAnswer: 119*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 7) in base 12?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 6 - 13*c**2 + 6*c**2 + c**3 + 4*c + 13*c**2. Calculate j(-4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of s**7\/630 - 8*s**4\/3 - s**3\/6 - s + 55. Let u(n) be the third derivative of t(n). Let g(x) = 2*x. What is g(u(d))?\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 77*s**3*u + 4*s*u**2 - 259*u**2 wrt s?\nAnswer: 231*s**2*u + 4*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -2*c + a + 10, 2*a = 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -203 + -2ae635?\nAnswer: -2ae838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -u - 15, -3*o - 17686 = -5*u - 17731 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b = -11*b + 284. What are the prime factors of 15\/50*25*b\/(-6)?\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 0.049, -0.3, -60 in descending order.\nAnswer: 0.1, 0.049, -0.3, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 71 + (76 - -25) + -127\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3130 + 311*k + 1863*k + 668*k wrt k?\nAnswer: 2842","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 14 = -h + 22, -5*h - 4*w + 22 = 0. Calculate the least common multiple of 380 and h.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*g + 3*f = 23, 5*f = 5*g - 20. Suppose 0 = 2*u - 2*w - 92, 3*w = 5*u + 4*w - 248. Suppose -g*l = -u + 14. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 42*c**3 + 5 - 40*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z + 3582 = 3593. Let w(r) = r. Let d(q) = -13*q + 1. What is z*d(h) - 5*w(h)?\nAnswer: -18*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -118 plus 0.05?\nAnswer: -117.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1088914604, 1088914607, 1088914612, 1088914619, 1088914628?\nAnswer: 1088914639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, b: 1, u: 1, z: 2, s: 2, d: 1}. Give prob of picking 1 i and 2 s.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, s: 2, l: 2}. What is prob of sequence ms?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(448) - (sqrt(700)*-1)**2) + 6*(sqrt(448) + 0))*6.\nAnswer: -4200 + 336*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -4895*c + 161521. Give j(33).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -2. Let r = j - -9. Suppose -4*g = -16, -5*h - r*g = -h - 36. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1344737 by 76.\nAnswer: -1344737\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29.5 - -0.5. Let g = 28.52 - i. Let k = g - -1.48000073. What is k rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -8 and -27274060167032?\nAnswer: 27274060167024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.04 + 0.04. Let u = d - -5. Let k = -229 + 226. Which is the closest to 1\/3? (a) k (b) -5\/2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45804.319 rounded to the nearest 1000?\nAnswer: 46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1466575 to the power of 1\/3, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/13)*(o\/(o**(3\/5)\/o))\/o)**(-26)\/(o**(-2\/5)\/o**5)**(31\/3) assuming o is positive.\nAnswer: o**(247\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 103.86 + -131.72. Round j to one decimal place.\nAnswer: -27.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o - 7. Let y be f(-6). Suppose w + 5*x = 22, y - 31 = -3*w - 5*x. Let d(p) = 5*p**2 - 6*p - 12. Let r be d(3). Solve r = -3*b - w*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60659529, 60659525, 60659521, 60659517, 60659513, 60659509?\nAnswer: 60659505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**2\/3 + 56544*u - 5430272\/3 = 0. Calculate u.\nAnswer: -84848, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*k = 53*k + 57*o - 60*o - 10 + 45, 2*k + 3*o - 7 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24194 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a + 3. Let x be o(3). Let m = x + -61. What is m rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 0*i = 2*i - 28, -4*i = -f - 2. Solve -2*r + f = 4*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, v: 1, t: 1, c: 5}. Give prob of sequence cggc.\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 2496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1270*a**3 - 756*a**2 - 4*a?\nAnswer: 7620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 7*z - 10. Suppose 5*s + k - 1113 = -0*k, 0 = -3*s - 2*k + 672. Suppose -h - s = -4*h. Calculate the remainder when h is divided by c(5).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**2 - 400*r + 1938. Calculate d(5).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 12*m**3 + 2*m**2 - m - 1. Let v be s(1). Let q(d) = 7*d - 11 + 18 - 4*d + d**3 + 5*d**2 - v. Give q(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*d + 711 = -0*d. What is the smallest common multiple of d and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -255, -1043, -2363, -4221, -6623?\nAnswer: -9575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (-6 + -2 - (-18 + (27 - 15)))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -192*w**3 + 1924*w**2 - 41*w + 13. Let o be p(10). What is y in 0*y - 2\/7*y**4 + 0*y**o + 0 - 1\/7*y**5 + 0*y**2 = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2651739, 5303475, 7955211?\n\"Answer: 2651736*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2105 (base 13) in base 4?\nAnswer: -1013120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -14, -47, -102, -173, -254, -339, -422?\n\"Answer: o**3 - 17*o**2 + 11*o - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and 120786239951995.\nAnswer: 120786239951992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 0) + -24 + -1 + -20 + 24.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 3*c + 3*c)*(2*c + 3*c + 2*c - 2*c + 0*c + c + 2*c - 2*c + 2*c + (0 + 1 + 1)*(0*c - c - c) - c + 4*c - 4*c + c + 0*c + 0*c - 2*c + c - 5*c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 3*x = -1, 2*j - 3*x - 2 + 7 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of -p**4\/12 - p**3\/3 - 20*p**2. Let r be n(-3). Let f be 6\/r*14\/3. Solve -2*z + f*z - 15 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by (-142)\/(-8) + 7\/28?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 l when two letters picked without replacement from {h: 2, g: 1, o: 1, l: 2, j: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - -1. Let w be 9\/b + (-1)\/(-5). Let r be 2\/(-1 - 3\/(-6)). Sort r, w, 0.\nAnswer: r, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fssfsffssss. Give prob of sequence sf.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211145 is divided by 873.\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14973 - -2855. Suppose 4*k - 4*b - 58796 = 0, 76631 - n = 4*k + 3*b. Suppose a + k = -2*a. Round a to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7 + -4)\/(1\/2). Let r(h) be the first derivative of -h**4\/4 + 7*h**3\/3 - 2*h**2 + 3*h - 43. Calculate r(g).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 - y**2. Let d(r) = -r**3 - 2*r**2 - 1. Determine -d(x) + 5*n(x).\nAnswer: -4*x**3 - 3*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/(sqrt(4)*2) - sqrt(2) - (sqrt(2)*-1 + 2)**2.\nAnswer: -6 + 7*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 22*n**2 + 48*n + 19. What is g(-24)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/22 and 121\/558.\nAnswer: 6138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 7*o - 82. Let y be k(25). Let x = -73 + y. What is the highest common factor of x and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3980326.\nAnswer: 2, 7, 401, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2122 (base 5) in base 15?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 88573*t**2*u + 14*t*u - 7*t + 50*u - 1 wrt t?\nAnswer: 177146*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 30 = 3*g, 5*y = -5*g + 7587 - 7697 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -7*x**5 + 11*x**4 + 3*x**3 - 11*x**2 + x. Let h(j) = -15*j**5 + 23*j**4 + 7*j**3 - 23*j**2 + j. Let k(a) = -3*h(a) + 7*v(a). Factor k(c).\nAnswer: -4*c*(c - 1)**3*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17917342 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2016 (base 14) in base 16?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -4, 3, 5, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5*c + 8 = 0. Let h(f) = 0 + 7 - 4 - c*f + 2. Let m(u) = -10*u + 26. Give 16*h(p) - 3*m(p).\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f + 1. Let o(w) = 4*w + 8. Suppose b = -2*b + 24. Let n(i) = b*q(i) - o(i). What is the units digit of n(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 29527*d**3*t**4 - 734867*d**3 + 1389*d*t + 728*d wrt t.\nAnswer: 118108*d**3*t**3 + 1389*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11146 or -11147?\nAnswer: -11146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 1 - 6. What are the prime factors of 174 + 0 + r + 2?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41481.6677 rounded to 0 dps?\nAnswer: 41482","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 m when two letters picked without replacement from njjnmmnnmjm?\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -12582 divided by 6291\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 665940438?\nAnswer: 2, 3, 36996691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33137318 - -19077318. Round a to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 88*u + 70. Let g(y) = 127*y + 106. Give 7*a(v) - 5*g(v).\nAnswer: -19*v - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cbb when three letters picked without replacement from bsbwcsswcsbbwwssc.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3486, 6333, 9180, 12027, 14874?\n\"Answer: 2847*o + 639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.15378 - -216.15378. What is the closest to 12 in 3\/4, w, 0.5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 773.\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + w - 3665, 2*a + 2*w - 2384 = 62. What are the prime factors of a?\nAnswer: 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-5)\/15)\/(5\/6). Let q be 3\/(-3) + 4\/6. What is the nearest to g in q, -1.8, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 20\/7 and -82.61 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*c**4 + 67*c**2 wrt c?\nAnswer: 72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 4 = 3*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 41656356 divided by 81\nAnswer: 514276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 1170613.285 to the nearest one hundred.\nAnswer: 1170600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a centimeter in millimeters?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -53*n**4 + 2*n**2 + 620*n - 2*n**3 + 618*n - 1239*n to x*n**2 + m*n**4 + g + w*n**3 + y*n and give m.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j + 16*j = -7*j + 98532. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 3603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - (-10 + (8 - 20)). Let l(k) = 2*k - 12. Give l(c).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/5 or 1\/799?\nAnswer: 1\/799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/3 in 0, -2\/8547, -1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*w**4 - 3*w**4 - 3*w**4 - 42*w - 6*w**4 + 42*w + (0*w + w + 0*w)*(4*w**3 - w**3 - 2*w**3) to the form g*w**4 + c*w + f*w**3 + v + i*w**2 and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 924760147 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {h: 2, c: 4, o: 3, f: 9}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 414, 370, 258, 48, -290, -786, -1470?\n\"Answer: -5*d**3 - 4*d**2 + 3*d + 420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224017 is divided by 202?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 12*n + 3. Let d be z(-12). Solve -4*w + 13 = d*k, -2*w - 6 = -k - 5*w for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 199459300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7\/20 + -89\/140. Which is the nearest to 0.1? (a) -0.2 (b) -1\/6 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-50)\/(-35))\/(((-192)\/360)\/(742\/477))\nAnswer: -25\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (88 + -3)\/5*1 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 0 = q. What is the derivative of 2*f**q - 2 + 3 + 0*f**3 wrt f?\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.798608m in millimeters?\nAnswer: 798.608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -17.905\nAnswer: -17.905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 4.3, 1736, 44?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11*(-13)\/572 + -14*6\/(-144)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9767610?\nAnswer: 2, 3, 5, 108529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 + 3*x**2 - x**2)*(-1 - 1 + 3) + x**2 - x**2 - x**2 + (-7843 - x + 7843)*(0*x - 2*x + 5*x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((1 - -1) + (-11700)\/(-1068) + -13)\/2. What is the fourth smallest value in q, 2, 53, 3?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 5*x. Let z(g) = -2*g + 18. Determine y(z(b)).\nAnswer: -10*b + 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2155702?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*l - 13. Suppose 2*y = -0*y + l. Suppose -y = -5*c - 5*k - 0, 0 = -5*c + 4*k + 23. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**4 - 11*j**3 - 27*j**2 - 29*j - 19. Let r(s) = -s**4 - 10*s**3 - 26*s**2 - 30*s - 18. Let t(w) = -4*b(w) + 6*r(w). Factor t(d).\nAnswer: -2*(d + 2)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2238592?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0432 - -0.1432. Which is the closest to -0.2? (a) -0.05 (b) -4 (c) 11 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*u - 8*u = 54 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 11417 + 826. List the prime factors of o.\nAnswer: 7, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) - (1 + sqrt(245)*3)**2 - sqrt(245)) + (3 + 0 + sqrt(80))**2.\nAnswer: -2117 - 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6 + 8)*-3*(-2)\/6. Solve -5*t**2 + 42*t**3 - 13*t**i - 15*t - 45*t**3 = 0.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + -6 - 2) + (-5 - -5) + 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 729 divided by 30?\nAnswer: 243\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 250 and 530?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -8. Put 0, 3\/2, j, 2 in increasing order.\nAnswer: j, 0, 3\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -5*j + 5*g + 40, -3*j - g + 7 = 27 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0, -2, 113, 199.\nAnswer: -8, -2, 0, 113, 199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2209135 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 247 divide 418532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 7 + i - 3 - 4. Let r be v(-5). Let a(d) = -2*d + 5*d + 3*d - 3 + d**2. Determine a(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 402443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 - (-425185)\/20 - 1\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eex when three letters picked without replacement from {b: 2, w: 1, e: 2, n: 3, x: 4}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hsuuhhhu. Give prob of picking 1 h and 3 u.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -361, -358, -355, -352, -349, -346?\n\"Answer: 3*a - 364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 120313452 to the power of 1\/5, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9087 + 9125. What is the greatest common divisor of s and 254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 6*i - 1. Let b be t(-5). Suppose 1 - b = -v + l, l = -2. Suppose -h - 4*r = -0*r - 6, -3*r + 3 = 0. Put h, v, -4 in increasing order.\nAnswer: -4, v, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 7*v**3 + 2*v**2 + 3*v. Let s(i) = 7*i**3 + 2*i**2 + 3*i + 1. Determine -2*b(t) + 3*s(t).\nAnswer: 7*t**3 + 2*t**2 + 3*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1207*f + 0 - 1195*f + 0 + 0 - 4.\nAnswer: 12*f - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5378081171 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1543630486?\nAnswer: 2, 179, 397, 10861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**2 + 209 - 209.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 179261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26231717 is divided by 714?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 701816 is divided by 6559.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44695 = -152*a + 36791 for a.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 5 = 2*s, -5*s + 4*w + 48 = 19. Suppose 7 = -s*f + 27. Suppose -4*j + 25 = -2*a + 3*a, f*a + j - 115 = 0. What are the prime factors of a?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 8 (b) -3 (c) -220 (d) 0.4 (e) 1\/7 (f) -1000\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**8)\/(z*z*z**(-3\/4)\/z*z*z*z))\/(z\/(z*z**18)*z**(1\/12)) assuming z is positive.\nAnswer: z**(71\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 8:15 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*b + 18 = 13*b. Is b at least -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 200*i + 5467 = 867 for i.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of 67*v**4\/6 - 119*v**2\/2 + v + 45. Differentiate x(i) with respect to i.\nAnswer: 268*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*a = 8, 3*o - 2*a = -4*a + 8. Which is smaller: 3\/130 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*z - 25 - 45 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/60426 and 25\/42.\nAnswer: 422982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 206 - 512 - 517 - 57545*o + 57542*o.\nAnswer: -3*o - 823","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 5*u + 15, -3*n = n + 4*u - 28. Suppose 20*d - 10 = 18*d. Solve -5 = -4*t + n*k + 10, -21 = -d*t + 4*k for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/(-10)*2 - 1. Let z = 3.02 - -0.08. Let b = -3 + z. Is s at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 66.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5554*c*m**5 - c*m**2 - 3*c + 34*m**3 + 29096*m**2 - 3*m wrt m?\nAnswer: -333240*c*m**2 + 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v**2 + 0*v**2 + v**2)*(9*v - 21*v + v + 3803*v**3 + 11*v).\nAnswer: -7606*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -3 (b) 0.21 (c) -3\/2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1240568?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1873229 is divided by 3952.\nAnswer: 3933","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/1160432 and 55\/10192.\nAnswer: 8123024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7319?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 4:12 PM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 10\/27, 5, -95, -0.1?\nAnswer: 10\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 76\/41319 and 14\/41319.\nAnswer: 41319","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 - -32. Let c be 61\/(5 + z\/(-10)). Let f = c + 191. Is 8 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pijiqiipippepei. Give prob of picking 1 e and 1 i.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281055 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -3 + 0 - (-6 - (-3 - 5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 65*p + 17*p + 18*p + 28*p)*(0 + p + 0)*(6 - 1 - 11) as x + w*p**2 + i*p and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 5*b - 1191416, -2*t - 76431 = -4*b + 519283. Let m = 142151 - t. What is m rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17613 and 978500?\nAnswer: 8806500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4058*o + 2111*o - 1141*o + 1416*o - 347976 for o.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**3 - 3*s**2 + 4*s - 1. Let b be j(1). Let l(d) = 3 + 6*d + 1 + 0. Does 8 divide l(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1857 + 89*v - 201*v**4 + 2*v**2 - 37*v - 1846 + 2730*v**4 wrt v?\nAnswer: 60696*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.246, 784\/15, -5?\nAnswer: 784\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53 (base 13) to base 2.\nAnswer: 1000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -28 and 72.\nAnswer: -2016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99752, -99827, -100024, -100403, -101024?\nAnswer: -101947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(2*(-5)\/120). Let a be (-8)\/j - (-60)\/27. Suppose 3*b + 94 = a*n - b, -4*n + b + 209 = 0. What are the prime factors of n?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*n = -25*n - 5*s + 43102, 0 = 3*s. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 s when three letters picked without replacement from ssyy?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23710?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 m when two letters picked without replacement from {k: 8, y: 5, m: 2}?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(130)*-1*-5)\/(sqrt(250) + -4*sqrt(250)))**2 + -2.\nAnswer: -2*sqrt(13)\/3 + 4\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*f = -28*f + 61*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1040504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13733 + -13723. Which is the third smallest value? (a) 28 (b) r (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27.515 + 27.51508712. Round f to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 635*l**2 + 10 + 30*l**2 + 2444*l - 1109*l = 0?\nAnswer: -2, -1\/133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34 + -34)*2\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11298*a**2 + 7*a + 71 wrt a?\nAnswer: -22596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -86220, 2, -7 in decreasing order.\nAnswer: 2, -1\/2, -7, -86220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 1)*(-2 + 3 + 1)*(-2*l - 4*l + 2*l) + 4 - 4 + 6*l + (1 + 4 - 6)*(-5*l + 3*l + 3*l).\nAnswer: 29*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 4*r**2 + 2*r + 4. Let d be s(0). Let c = -393 + 401. Solve 6*f = d*f + c for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -242*n - 9. Let t be j(-2). Let v = t - 699. What is the closest to 1\/3 in -2, 0.3, v?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4*o + 10. Let s be n(-9). Let p be 1 + (-4)\/(8\/s). Differentiate -13*h - 2*h - p*h - 26 with respect to h.\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t - 4*t + 0*t)*(-t**2 + t**3 + t**2) + (5 - 2 + 0)*(2*t**4 - 4*t**2 + 4*t**2) - 2*t**4 - t**4 - 2*t**4.\nAnswer: 3*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 5*y**3 + 4205*y**2 - 46860*y = 0.\nAnswer: -852, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8010 - 4bc?\nAnswer: -84cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58184 divided by -7273.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 2 m, and 1 c when four letters picked without replacement from {f: 1, c: 1, v: 2, m: 5, p: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25752.\nAnswer: 2, 3, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6606.474 meters?\nAnswer: 6606474000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02581 - -0.27.\nAnswer: 0.29581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2.46 (b) 2 (c) -1612 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -311340110?\nAnswer: -311340104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2789*y**2 + 1585*y wrt y?\nAnswer: -5578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005987238 rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00102429491 rounded to 7 dps?\nAnswer: 0.0010243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 546 + -544. Let o = 21 + -148\/7. What is the third smallest value in o, d, 3\/5, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 2*i**2 - 3*i + 2. Let p be s(-3). Solve p*m = 0, z + 3*m = -2*z + 12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -5*(sqrt(405)*-1 + sqrt(405))*2)**2*2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(510)\/((sqrt(110)*-2)\/sqrt(11)))\/(-1*sqrt(1728)).\nAnswer: sqrt(17)\/48 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 2, d: 2, k: 5}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 3. Let a = u - -10. Solve 0 = 5*h, d = -a*d - h - 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-1 + -2) - (-31 - -38).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d + 8. Let h be p(5). Let z = 5 - h. Solve -z + 10 = 2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 115334*r**3 + 150847*r wrt r?\nAnswer: 692004*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2*(2\/(-4) - -2). Let t = 3 + l. Suppose t = -k + 10 + 7. What is the remainder when k is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*c**2*g*h + 10*c**2*g + 5*c**2*h - 5*c**2 + c*g*h - 2*c*h - 241*g - h wrt c?\nAnswer: -8*g*h + 20*g + 10*h - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**3 - 39546*c**2 - 39544*c = 0.\nAnswer: -19772, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 7 = -w, -5*w + 29 = -4*f + 8*f. Let i be f + 220\/12 + 1\/(-3). Solve 0 = 2*x - 3*o + i, 0 = 2*x - 2*o + 12 + 4 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 + 1856192.18551.\nAnswer: 1856200.18551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -4043?\nAnswer: 4044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 948, 0.11, 0.2, 1, 0.09, 5 in decreasing order.\nAnswer: 948, 5, 1, 0.2, 0.11, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 11 (b) -0.2 (c) -2 (d) -2.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 2.9. Let r = 1.03 - 0.63. Which is the second smallest value? (a) l (b) r (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j - 5*j + 18*j**2 + 3*j to s + g*j + n*j**2 and give n.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 981881 a multiple of 423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 94962 to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 365235.9 months?\nAnswer: 30.436325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 7, -2\/9, 2.38 in increasing order.\nAnswer: -2\/9, 0.4, 2.38, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 40400.96 millennia in centuries?\nAnswer: 404009.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -238171*w**6 + 4*w**5 + 6*w**3 + 2*w**2 - 1327*w + 2494?\nAnswer: -28580520*w**3 + 240*w**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1190*z**2 + z**3 + 1190*z**2.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 11:12 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 5*u = 135, 9*v - 5*u = 11*v + 75. Do -30 and v have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/11, 1.9, -2, 3 in ascending order.\nAnswer: -2, -6\/11, 1.9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 5:41 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -84*j**3 - 9*j - 11. Let b(d) = -21*d**3 - 2*d - 3. Give 9*b(f) - 2*q(f).\nAnswer: -21*f**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55677, 63227, 70777, 78327?\nAnswer: 85877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 540 - -516. Suppose -4*s + 34 = -62. What is the highest common factor of o and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4594334)\/(-8) - 2\/(-8). Let j = -386292 + m. Suppose 2*o + 0*o - j = 0. What is o rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -206, -836, -1884, -3350, -5234, -7536?\nAnswer: -10256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s - 2*s - 2*h, -5*s - 4 = -4*h for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o**3 - 10*o**2 - 21*o - 10. What is l(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15203 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2407.52 rounded to the nearest 10?\nAnswer: -2410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9566 + -1?\nAnswer: -9567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6)\/(2 - 14) + 742\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -0.064311\nAnswer: 0.064311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/12 + 91\/4. Suppose 0 = -a - 3*g - 5, 2*a + 2*g - z = 7*g. Suppose -3*l - k = -57 + 19, 5*l - 35 = a*k. What is the remainder when l is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 726588.8cm in nanometers?\nAnswer: 7265888000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25592 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y - 3 + 3)*(122*y**4 - 48*y**4 + 118*y**4) + 4*y**5 - 4*y**5 - 3*y**5.\nAnswer: -579*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -2*u - 6, 0 = -5*b - 5*u + 3*u + 12. Let o(n) = 2*n - 1. Let s be o(b). Let p = 200 - 198. Solve p*h + 5 = s*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/17))**34)**(-5) assuming q is positive.\nAnswer: q**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 197 + -319. Let p = 199 + o. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -g**6\/120 + g**5\/15 + g**4\/6 - g**3\/2 + 39*g**2. What is a(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of f**4\/12 - 5*f**3\/6 - 5*f**2\/2 - 9*f. Let u = 11 - 6. Give y(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.37, 1, 5, 0.3.\nAnswer: -0.37, 0.3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**2*k**(-2\/5)*k\/k**(1\/13)*k\/k**(-4\/3))\/(k**(-7\/5)\/(k*k**(-2\/9)))**8 assuming k is positive.\nAnswer: k**(13618\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -43, -275, -905, -2131, -4151?\n\"Answer: -33*u**3 - u**2 + 2*u - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1141 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2669, 5267, 7879, 10499, 13121, 15739?\n\"Answer: -k**3 + 13*k**2 + 2566*k + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 270, 7, -5, 4, -7 in increasing order.\nAnswer: -11, -7, -5, 4, 7, 270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*l**3 + 8*l**3 - 2*l**3 + 40 + l**3 in the form m*l + a + v*l**2 + s*l**3 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -6*k + 9. Let v(d) = 0*d + 2*d + 1 + 3 - 7. Suppose -4 + 2 = g. Determine g*l(q) - 7*v(q).\nAnswer: -2*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 168.8 to the nearest integer.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30979 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**2)**(-2\/49)\/(n*n*n**(-6)*n*n**(3\/2)\/n*n))**25 assuming n is positive.\nAnswer: n**(3375\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 264 and 27?\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4386170?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 218085*n**4 + 113*n**2 + 1544*n wrt n?\nAnswer: 5234040*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) -0.1 (c) 94 (d) 0.2 (e) 11 (f) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 0.3 (b) -3\/2 (c) 1\/4 (d) -273\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76 = 4*t - 16*n, t + 5*n - 20986 = -21012 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.37 - -0.07. Let u = b - 4. Round u to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -105.1926 + -2.5514. Round z to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 8:39 PM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -22 and -7?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-17)\/(j\/(j*j*j**(-2\/23)*j)))**(-1\/7) assuming j is positive.\nAnswer: j**(347\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 2 g, and 1 w when four letters picked without replacement from gugzwzzzzzuwwwzwww?\nAnswer: 49\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 13, 33, 53, 73?\n\"Answer: 20*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43097 + -24514. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -45619 and -3.23.\nAnswer: -45622.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -10 + 2 + 0 - 10*u. What is the tens digit of d(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5103\/190 at most -28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, r: 3}. Give prob of picking 1 w and 1 r.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 1 + 5. Suppose 3*m - 5 = i*m. Let x(r) = 4*r - m*r + 2*r + 2*r. Let j(q) = -2*q**2. What is x(j(n))?\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 886 and 810696.\nAnswer: 359138328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1522525 = -c + 2*o, 114*o = -4*c + 119*o + 6090097. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (17 + -9) - (10 + -16).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*r**2 - 86 + 48 + 10*r**2.\nAnswer: -20*r**2 - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5040*p**2 - 5040*p**2 - 1375*p**3)*(5*p + 1 - 1) + (1 - 2*p - 1)*(-4*p**3 + 3*p**3 - p**3).\nAnswer: -6871*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b**4 + b - b)*(-1 + 1 + 3*b) + (b**3 - 2*b**3 - b**3)*(3*b**2 - 2*b**2 + 0*b**2).\nAnswer: 13*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 47*d + 19 - 95. Solve -h + 2*g - d = 0, 0 = -2*h + 2*g - g + 5 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/5)*m\/(m*m**(-5))*m**(1\/3)*m**2 assuming m is positive.\nAnswer: m**(116\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.3, 1, -108\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/20 and 83\/28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 17*u + 20. Solve 2*z + 3*j - 10 = -3*z, u*z = 5*j + 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 9*z**2 - 9*z - 5. Let y be v(-8). Suppose y*q = 5*q - 320000. Round q to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(5\/7)*j*j**(-2\/21))**37)**22 assuming j is positive.\nAnswer: j**(27676\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**3 - 43*w**2 - 20*w + 13. Calculate y(-21).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1035611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x + 1. Suppose 28*w = 12*w + 2288. Suppose 27*m = -w + 8. Let h(l) = -14*l + 5. Determine m*o(s) + h(s).\nAnswer: -9*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 2:12 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 1:02 PM?\nAnswer: 6:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - w + w)*(-1 - 3 + 3) + 3*w + 20*w + 8*w + 2*w - 5*w + 2*w + (w + 3*w - 5*w)*(-1 + 2 - 2) - 2*w + 0 + 0.\nAnswer: 26*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 7*j**2 - 8. What is f(7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s + 8. What is the tens digit of y(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -6*f + 10. Let m(o) = 207*o - 3112. Let x be m(15). Let d(p) = -9*p + 15. Calculate x*w(u) + 5*d(u).\nAnswer: -3*u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154 is divided by 37?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) -2\/13 (b) -1\/28 (c) -148\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1419*p**2 + 1419*p**2 + 4*p**3 - p**3.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -11 + c**3 + 0*c - c**2 - 1\/4*c**4. Factor d(o).\nAnswer: -o*(o - 2)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4 + ((3*(sqrt(567) + sqrt(567) + 0) + 3 + (sqrt(567) - 1*sqrt(567)))*-4)**2 + 2.\nAnswer: 5184*sqrt(7) + 326729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (-1 - -9) + (-10 - 4).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((130\/(-320))\/13)\/(2\/4))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + 2 + -1 - (0 + sqrt(396)) - (1 + (sqrt(231)\/sqrt(7))\/sqrt(3)).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a tonne in kilograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3*sqrt(891).\nAnswer: -27*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -73821\/250705 - -72\/247. Which is bigger: t or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of 167*t**7\/42 - t**5\/10 - 3*t**3 - 2*t**2 - 2*t + 91. Find the second derivative of n(q) wrt q.\nAnswer: 3340*q**3 - 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + -14. Calculate the remainder when 13 is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1092738.\nAnswer: 2, 3, 182123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00043211 to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.9 - -0.1. Which is the nearest to g? (a) 0.5 (b) -3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 1. Let u = -142 + 708\/5. Which is smaller: a or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1431 and 1431?\nAnswer: 1431","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) - (sqrt(567) - (2*sqrt(567)*3 + sqrt(567) - sqrt(567)))**2) + 2*(sqrt(84)*2)\/sqrt(12).\nAnswer: -14175 + 13*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -96, 5529, 40 in decreasing order.\nAnswer: 5529, 40, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -55 - 1. What is the remainder when 109 is divided by h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 1164?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 + 48 = 4*n. Let q = 12 - 2. What is the smallest common multiple of q and n?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of 23*n**4\/24 + 1372*n**2. Let u = 0 - -2. Let h(w) = -u - 2 + 4 + 2*w**2. What is h(p(a))?\nAnswer: 1058*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((9\/6)\/3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.47 - 1.03. Let j = y - -0.36. Let q be ((-10)\/7)\/(10\/(-35)). Which is the closest to j? (a) 0.5 (b) 2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1361\/6 or -228?\nAnswer: -1361\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2544, -2542, -2542, -2544, -2548, -2554?\nAnswer: -2562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*k**2 + 9*k**2 - 21*k**4 + (-5*k**2 + 3*k**2 + 4*k**2)*(2*k**2 + 0*k + 0*k).\nAnswer: -17*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 170099*i - 204193 wrt i?\nAnswer: 170099","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 65\/151, -3\/5, -1\/3, 3 in descending order.\nAnswer: 3, 65\/151, -2\/7, -1\/3, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -z**5 - 96*z**4 + 2547*z**3 - 6754*z**2 - 112716*z + 233640 = 0?\nAnswer: -118, -6, 2, 11, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4\/113 - 153\/1130. Suppose 5*h = 13708 - 3343. Let k = h - 8209\/4. Calculate the common denominator of k and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -84*s + 11. Let y(h) = -295*h + 34. Let c(z) = -21*u(z) + 6*y(z). Determine c(-8).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -36018*n - 6731 wrt n?\nAnswer: -36018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - x**2 + 0)*(134*x**3 - 847 + 847).\nAnswer: -134*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.17? (a) -8 (b) -183 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -291559\/4501 - -40\/643. Let g = n + 65. Which is the closest to 0.1? (a) -1 (b) 4\/3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x - 83. Let a(s) = -45784*s**2 + 3. Calculate g(a(m)).\nAnswer: 91568*m**2 - 89","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**4\/2 + 3*o**3\/2 - o**2 - 6*o - 4 = 0 for o.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 119343 + -103589735\/868. Calculate the common denominator of 149\/2604 and o.\nAnswer: 2604","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + (0 - -1 - 13). Let t = r - -16. Solve -3*k = 5*h + t, 3*h + 41 = 5*k + 17 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/30 and -61\/138738.\nAnswer: 693690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 200, 860, 1946, 3452, 5372, 7700, 10430?\n\"Answer: -m**3 + 219*m**2 + 10*m - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -7*p + 17. Let k be n(8). Let a = 141 + k. Suppose 0 = 2*s - 3*s + a. What is the remainder when s is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -5110253?\nAnswer: 5110248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 4 = -o, -25*o = 4*y - 20*o + 20 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 32487040 to the power of 1\/4, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5 + -1 - (-11 + 2). Suppose -t*y + 182 = -x, -2*y - 10*x + 128 = -12*x. Is 3 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**21\/h)\/(h\/h**(9\/2))*(h**(-9))**(-50) assuming h is positive.\nAnswer: h**(947\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + (-3 - 158) + 1. Suppose -3*g - 351 + 46 = -4*c, 2*g = 4*c - 210. Let v = g - y. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 297006.8 days to hours.\nAnswer: 7128163.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -6\/37 (b) 0.3 (c) -129 (d) 0.2 (e) -3\/8 (f) 1\/4 (g) 1\/43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*2\/(-12))\/4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**3 - 2*b**2 - 3*b - 2. Suppose -5 + 31 = 2*i. Calculate the remainder when s(3) is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 344 = -2*u, -2*u + 11*a = 13*a - 364. What is u rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*p = -1512 + 1692 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -f**6\/60 + f**5\/20 + f**4\/24 - f**3\/6 - 4*f + 6. Factor t(w).\nAnswer: -w*(w - 2)*(w - 1)*(w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a - 34*a - 18*a + 2*a**2 + 4*a.\nAnswer: 2*a**2 - 45*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20605535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -20*r - 180. Let v be q(-11). Suppose -2*m - 5*h + 3*h + 62 = 0, 4*h - v = -m. Calculate the remainder when 42 is divided by m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + m**2 - 12*m + 8. Let x be i(-4). Suppose -3 = -k + 5. What is the greatest common factor of x and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 343 + -148. Calculate the remainder when h is divided by 50.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -2*k - 2*k - 26, 0 = 3*d - 4*k - 22. Let w = 16 - 5. What is the lowest common multiple of w and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -41, -110, -179?\n\"Answer: -69*v + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 294*z**3 + 4*z**2 + 6*z + 4. Calculate f(-1).\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10.3 - 4.62. Let z = g + 0.32. Put -4, z, -1 in decreasing order.\nAnswer: z, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 - (-94 - (-10 - -29))) + (24 - 3)?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 16*m**5 + 1203012*m**4 - 16544992*m**3 - 41511884*m**2 - 28576824*m - 4812928 = 0.\nAnswer: -75202, -1, -1\/4, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 1. Suppose -4*c + 9 = j, 9 = 5*j - 4*c - 36. Let h = g + j. Does 3 = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2026 + 22*q**3 - 5*q**3 - 2026 + 0*q**3.\nAnswer: 17*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/21 + (776\/56 - 4).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 z when three letters picked without replacement from {q: 2, z: 9}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2272 divided by -1136\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -127.\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 1 - (89 + -92).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bv when two letters picked without replacement from {n: 4, b: 3, c: 3, v: 3}?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 15 = 0, 2*w + 48 = -4*f - 2*w. Let j = 14 + f. Suppose -2*k - 31 = -3*x + 46, -x - 2*k = -23. Calculate the greatest common factor of x and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1440 is divided by 23.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13*(-56)\/(-78988))\/(14\/(-98)*-1*1).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101002 - -201111221?\nAnswer: 201220000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-120)\/50)\/((-6)\/220). Let m be (-49)\/(1 + (2 - 2)). Let s = v + m. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 39939 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2)*(140 - 140 + 52*s) + 4*s + 0*s - s + (3*s + s - 6*s)*(-3 - 4 + 4).\nAnswer: 113*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 29517, -2\/7?\nAnswer: 29517","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 328 in 5, 2, -1391?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -304 - 23*r + 304 in the form a + x*r and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 3. Let v = 0.03 + 1.97. Let i = v - 6. What is the second smallest value in -1\/3, i, p?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102133 divided by 5?\nAnswer: 102133\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.63 - -4.6. Suppose 3*q = 6 + 3. Let v = -6 + q. Sort v, i, 3 in descending order.\nAnswer: 3, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9*9\/(27\/12). Let r be ((-7)\/((-14)\/z))\/1. Let w be 15\/r*(-8)\/(-20). Which is the biggest value? (a) w (b) -0.2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(6\/(-22)) - (-9)\/(-702)*52. Suppose 5*c = -0*c + 95. Solve 0 = -0*l + 2*l - 3*s - c, s = -4*l + k for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of -d**6\/6 - 2*d**5 - 25*d**4\/3 - 40*d**3\/3 - d + 9. Determine f, given that w(f) = 0.\nAnswer: -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 91330468 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(1\/(-4) - (-23)\/28). Suppose 0*o - 8 = -2*o. What is the nearest to -2\/7 in -3\/8, o, v?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/2)\/((-1)\/(-100)*-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 8. Let b = 62 - 62. Suppose 0*d - 2*d + 3*z - 9 = 0, b = -3*d - z + 3. Solve 3*u = 5*q + 7, d*q - 2*q = -2*u + i for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 5:21 PM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 - 7*a + 3. Let b be x(7). Suppose 0*f + 1547 = 5*z - b*f, 2*z - 594 = -5*f. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 17 = 1. Does 5 divide 2 + -4 - (d - 20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 53393004*v**3 - 75981121 wrt v.\nAnswer: 160179012*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.49 - 2.51. Let f be -1 + 2 + 2 + (-26)\/10. Let h be (9\/30)\/(6\/15 - -1). Which is the nearest to h? (a) q (b) -3\/7 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -20, 4, -262?\nAnswer: -262","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12 - 6)\/((-54)\/36). Let r = 1 - 1. Let f = 0.2 - r. What is the closest to 1 in w, f, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5084347?\nAnswer: 1823, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*n**2*q - 3*n**2 - 896*n*q - 434*n + 348*q + 76302 wrt n.\nAnswer: 4*n*q - 6*n - 896*q - 434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -407*z**2 - 139605*z - 1377. Determine t(-343).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7938658 to the power of 1\/2, to the nearest integer?\nAnswer: 2818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eggeege. Give prob of sequence eeg.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*w - 1)*(w**2 + 2 - 2) - 35*w**2 + 15*w**2 + 21*w**2 + 19*w**3.\nAnswer: 17*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 60 + -42. Is 10 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0381568 rounded to three decimal places?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 92*p + 28 - 28 - 363*p. Let b(l) = -5*l**2. What is y(b(d))?\nAnswer: 1355*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -117, -236, -281, -216, -5, 388, 999?\nAnswer: 1864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37875, -37867, -37859, -37851, -37843, -37835?\nAnswer: -37827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -17438, -69800, -157072, -279254?\n\"Answer: -17455*y**2 + 3*y + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13306*v**3 + 162 - 10537*v**3 + 349 wrt v.\nAnswer: 8307*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-2\/7)*l*l**6)\/(((l\/(((l**7*l)\/l)\/l))\/l)\/(l**(-2)*l)))\/((l*l*l**(-1)*l*l*l**6)\/(((l*l*l*l\/l**7*l)\/l)\/l**(-8))) assuming l is positive.\nAnswer: l**(61\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -3\/2 (b) 0 (c) -4\/7 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3*f**3 + 30*f**2 + 115*f + 53. What is k(13)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*i + 4*i**3 - 15*i - 5*i**3)*((-2 + 1 - 1)*(-4 + 4 - i) + 3*i - 2*i + i - 21 - 8*i + 21 + 3*i - 2*i - 3*i + 0*i - 2*i + 0*i).\nAnswer: 8*i**4 + 304*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 0.22, 28, -24\/5, -1 in increasing order.\nAnswer: -24\/5, -1, 0.22, 3\/4, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 39 (b) -4 (c) -1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d - 4. Let m = 11 + 29. What is the remainder when m is divided by b(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 285 divide 117587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*x - 29*x - 5*x)*(11 - 7 + 7).\nAnswer: -253*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5470959 to the nearest integer?\nAnswer: 2339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-seven fifths of a gram in milligrams?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1f134c (base 16) in base 11?\nAnswer: 1171105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeieeeeeeeiereie. Give prob of picking 1 i, 1 r, and 1 e.\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, -0.2, 2, -3582 in ascending order.\nAnswer: -3582, -0.2, 0.6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -183, -1252, -4077, -9534, -18499?\nAnswer: -31848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -44*i - 2. Let o be d(2). Let z be (o\/75)\/(6\/(-4)). Put -3, -3\/10, z in descending order.\nAnswer: z, -3\/10, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 701786.2 weeks in milliseconds?\nAnswer: 424440293760000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 18 = 3*k, -2*k + 4*i - i = -12. Let z(j) = -4*j + 4. Let q be z(-3). What is the third derivative of -4*d**k + q - 4*d**2 - 16 wrt d?\nAnswer: -480*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1590 - 1583. Let r(k) = 4*k - 4. Let g(x) = x**3 - 8*x**2 + 8*x - 3. Let t be g(7). What is the remainder when r(t) is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + 2*g + 0*g + 1 - 5 + 0*g. Let q be d(-4). Let m be 7 + -3 + 12\/q. Are 7 and m equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 763.\nAnswer: 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7696723 to the nearest integer?\nAnswer: 2774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 4*b**2 - 3*b + 1. Let h be i(2). Suppose -h*s - 3*l = -s - 10, 3*l = 3*s. Solve -g + 8 = -s*t + 3*t, -3*t = -15 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, u: 2, a: 9}. What is prob of sequence uu?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9223\/8 + 1153. Let b be (6\/9)\/((-2)\/3). What is the nearest to 2\/3 in -6\/5, b, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 1. Suppose 4*d - 3 - 1 = z, -4*d = -p - 1. Suppose 2*o = -l + 5, 2*o - 9 = -p*l + 10. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - 6426*c + 57757. What is g(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1397*p - 1130*p - 1 + 4 - 1.\nAnswer: -2527*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24487*p**2\/3 + 73420*p\/3 - 41.\nAnswer: (p + 3)*(24487*p - 41)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -18, 3, -64 in descending order.\nAnswer: 5, 3, -18, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*r + 15. Suppose 2*y - 4*n + 18 = 0, y - n + 3 = -r*n. Let t(g) = -g**2 - 4*g + 9. Let m(o) = o**2 + 5*o - 10. What is y*m(u) - 6*t(u)?\nAnswer: u**2 - u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 AM and 7:00 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, j: 3, y: 2, u: 3, z: 3}. What is prob of sequence ze?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*v**2*w**3 - 157*v**2*w**2 + 90*v*w**3 - 3*v*w + 2*v wrt v.\nAnswer: 30*w**3 - 314*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o. Let x(h) = -921*h**2 + 10*h + 152. Calculate x(k(v)).\nAnswer: -3684*v**2 + 20*v + 152","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -5, 10, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4500 and 829125?\nAnswer: 1125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1530 and 1071.\nAnswer: 10710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 4*i**2 - 4*i + 1. Let d be a(-3). Suppose -l + 45 = d*l. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34334560 a multiple of 1105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, -2, 3, 1348, -14, -1, -5 in descending order.\nAnswer: 1348, 37, 3, -1, -2, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 106490860 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.88 - 1.58. Let k = -13 + 13. Which is the third smallest value? (a) 0.2 (b) -1\/3 (c) k (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -422123303300 - 1?\nAnswer: -422123303301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(77) - 2*sqrt(77)))\/((sqrt(77)*-4)\/sqrt(7)))**2.\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13462 is divided by 292?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (24\/(-36))\/(1*2\/(-366))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/4 + 7\/(-14). Suppose 4*y = -b*j + 52, -4*y - 56 = -5*j + 45. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 467993 + -671993. Round c to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46264.15 rounded to the nearest 1000?\nAnswer: -46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - 8. Let l be i\/(-2)*(-12)\/(-9). Suppose l*q - 2*q = 136. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 135 - 137. Which is the closest to t? (a) 1\/5 (b) -2\/11 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -1030*r**4 + 10*r + 5. Let w(h) = -343*h**4 + 3*h + 2. Let s(l) = -3*q(l) + 10*w(l). What is the first derivative of s(j) wrt j?\nAnswer: -1360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 0*x. Let r = 128 + -126. Suppose 20*s - 90 = r*s. Solve x*u = s*u + 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -21084\nAnswer: -1\/7028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pwww. Give prob of sequence wp.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1013140 and 724480?\nAnswer: 5660","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2742 and 2?\nAnswer: 0.5484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 19475, 78108, 175845, 312686?\n\"Answer: 19552*t**2 - 23*t - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 + 144. Suppose i - 4*z + b = 4*i, -3*i + 4*z + 110 = 0. Calculate the highest common divisor of 342 and i.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 7*z**2 - 5*z - 13. Let w be b(-8). What is the remainder when 158 is divided by (w\/(-22) - (-8)\/(-44))*34?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 698075950 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -19*(-1 + 2)*-1. Let b(o) = -o**3 - 23*o**2 + 86*o + 217. Let x be b(-26). Differentiate m + 9 + y**3 - x + 0*y**3 with respect to y.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 1 = s. Suppose -2*n = -d + s, -3*n + 5*n - 5*d = -35. Let h = 3 - n. List 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 first derivative of -13*h + 4 - 11*h - 33 + 23*h wrt h?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 5*q + 10, 2*q - 4*q = 5*w + 4. Let z(t) = 3*t**2. Let y be z(-1). Solve l - 5*h = -3, -2*h = -y*l - 9 - w for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 11*i**2 + 7*i + 157. What is h(-10)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -41071061, 0.5, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46 - (-13 - -11) - -13 - 18?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36169355?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2100020021001 (base 3) to base 14\nAnswer: 2457d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 143, 81, -23, -169, -357?\nAnswer: -587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 15323 (base 7) to base 2\nAnswer: 1000010111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -237 + 300 - (-2 - -49).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2815.8575 - -953.456.\nAnswer: -1862.4015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 82 and 3?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 656 + -661. What is the third biggest value in 41, c, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -650069 and -0.019?\nAnswer: 12351.311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36 + -29.6. Let i = 7 - m. Which is the smallest value? (a) 1 (b) -2\/19 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 365930654 to the nearest ten thousand.\nAnswer: 365930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 952634?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.14 + -8.14. Let g = 6 + 3. Let r = g + q. What is the closest to r in -2\/11, -0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**2 + 0 + 0 + (-2*m + 2*m - 2*m**2)*(-2 + 2 + 1) - 29 + 3*m**2 + 29.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.1 (b) 1 (c) 1\/4 (d) 22192\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 290, 356, 424, 494, 566, 640, 716?\nAnswer: 794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*y - 13*y. Solve 4*u = -0*w - 2*w + 2, y = 2*u + 2*w + 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 + 1037023?\nAnswer: 1037017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 12306, 24498, 36686, 48870?\n\"Answer: -2*j**2 + 12198*j + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of 23*s**6\/40 + 25*s**3\/6 + s**2 + 58*s. Differentiate m(k) wrt k.\nAnswer: 207*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 46 - 121. Suppose -5*f + l = -5*o, 5*o + 27 = 2*f - 3*f. Which is the closest to -1? (a) -1\/2 (b) -4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 52966355 and 414?\nAnswer: 953394390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1576, 12224, 41138, 97450, 190292?\n\"Answer: 1522*k**3 + k**2 - 9*k + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(1\/5))**(-45)\/(u*u**3)**1 assuming u is positive.\nAnswer: u**(-58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, g: 4, x: 1, k: 1, h: 5, s: 5}. Give prob of picking 3 h and 1 s.\nAnswer: 5\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 88, 153, 262, 415, 612, 853?\nAnswer: 1138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or 2\/1921?\nAnswer: 2\/1921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 601661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 100 or 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*h + 17*h - 61 - 47*h + 18*h.\nAnswer: -2*h - 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2\/3 + 226960*q\/3 + 2575542080\/3.\nAnswer: 5*(q + 22696)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1002322013 (base 4) in base 8?\nAnswer: -1027207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.15 + -623194060.\nAnswer: -623194060.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5311 + -9711. Round h to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 391*g - 8368 = -1050 + 2457 for g.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-3066)*26250\/(-2500).\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000032 to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47242*n + 2*n**3 + 47240*n + 6577 - 3*n**3.\nAnswer: -n**3 - 2*n + 6577","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.39+1300\nAnswer: 1300.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18048 - -18121. Calculate the remainder when 2185 is divided by a.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22479\/2 + -11238. Put 0.5, -1\/7, v, -1793\/3 in descending order.\nAnswer: v, 0.5, -1\/7, -1793\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000554808 rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(-1 + 1 + -2). Suppose -2*a - 5*u + 5 = 0, 5 = -y*a + 3*u + 2. Solve 4*c + 3 = -a*c + 3*m, 5*c + 5*m + 30 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = 164 - 104 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -84, 1\/2, 4, -5 in descending order.\nAnswer: 4, 1, 1\/2, -5, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2872*l**6 - 500*l**3 + 130*l**2 - l + 3419 wrt l?\nAnswer: -344640*l**3 - 3000","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*n + 42*n + 12*n)*(-2*n**2 + n**2 - n**2).\nAnswer: -162*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 341856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (0 - 4 - -10) + 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28290542094614\/1581084063 + -1\/117117338. Let v = -17894 + c. Find the common denominator of -67\/18 and v.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddc when four letters picked without replacement from cccccccdccdccdccddd.\nAnswer: 65\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1712)\/(-107)*1\/24)\/(12\/(-45))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 46.933 + -47. Let r = 1 - 0.94. Let q = r + o. Round q to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.053 + 0.153. Put 0.3, -5, 0, s in descending order.\nAnswer: 0.3, s, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 353744*n**3 - 283*n**2 + 321059299*n?\nAnswer: 2122464*n - 566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 p when two letters picked without replacement from pudggdmmgqddpmq.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 3*w**5 + 6*w**4 - 12*w**3 - 24*w**2 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13323532.\nAnswer: 2, 23, 97, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12c - -4?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(0*q + 4*q - 3*q)*(-39 - 10 + 18 + (1 - 4 + 2)*(2 - 2 - 2))*(2*q - 2*q + 4*q).\nAnswer: -232*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/(-4*sqrt(12))*2.\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34053781?\nAnswer: 373, 91297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36523?\nAnswer: 36523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 75011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47203*v**2 - 44261*v**2 + 0*v + 0*v)*(-2 + v + 2).\nAnswer: 2942*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 10 - 8 - 5 + 201*t**3.\nAnswer: 201*t**3 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 7*r - 411. Let x(k) = 12*k - 820. Determine -5*c(n) + 3*x(n).\nAnswer: n - 405","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6791714 to 2 dps.\nAnswer: 0.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffdd when four letters picked without replacement from fdffffddffdfddddfd.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 3*n**2 - 5*n - 4. Let t be w(-4). Let h = 16211\/1849067 - -10\/17281. Is h less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + u - 5752 = 0, -5*a + 5710 = 75*u - 80*u. Which is bigger: 5739\/5 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 310283*z - 310384*z + 5736 + 324 = 0 for z.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/45*-14)\/(17\/(17\/(-2))).\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 8*s**2 + 4*s**2 - 5*s**2 - 3*s**2 - 5*s**2. Let b(m) = -1016*m**2. Give b(x(n)).\nAnswer: -1016*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -295828.381 rounded to the nearest one thousand?\nAnswer: -296000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4479649 and 115493986.\nAnswer: 119973635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -175*h**3 + 9331*h**2 - 2*h + 5428668.\nAnswer: -525*h**2 + 18662*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.8875 + 0.2\nAnswer: -0.6875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 954120.9ml in litres?\nAnswer: 954.1209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -474\/11 + 915\/22. Let f be (3 + -5)\/(16\/(-6)). Which is the biggest value? (a) f (b) i (c) 0.5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hooooohwwhwoo. Give prob of sequence hh.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + r + 11. Suppose 4*m + 12 = -3*v, -5*v + 0 + 6 = -2*m. What is the units digit of a(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 200.2901g?\nAnswer: 200290100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6978 is divided by 128.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 49*x - 56*x + 6321. Suppose -14*t = -21*t + x. Calculate the remainder when t is divided by 66.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/13794 and 73\/26599012.\nAnswer: 877767396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*x + 120 = -18*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2174, 17530, 59200, 140342, 274114?\n\"Answer: 2193*w**3 - w**2 + 8*w - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 876 = 4*b + 5*z, 10*b + 916 = 14*b - 5*z. Calculate the highest common divisor of b and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 298233213?\nAnswer: 3, 99411071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1006*t + 999*t + 49 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s - 10 = -17*s. Solve 0 = -m + 2*u - 1, -5*m + s*u - 14 = -1 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 1844*o - 2. Let j be t(8). Let k = j + -9098. Let b = -90375\/16 + k. Find the common denominator of b and -109\/22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in 25, 5\/3, 3\/4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + 1 + -6 + 8. Suppose -t*w + 12 - 52 = 0. Let r be 118\/12 - w\/48. Solve -k - 20 = -5*k, -4*y - r = 2*k for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627.0625 centuries in years?\nAnswer: 62706.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 247 divided by -13\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -252 - -1621. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*u - 60*u + 12 = 0. Suppose -3*v + v - 4 = 0. Which is smaller: v or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -393 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 31*l**2 + 133*l - 6749. Give d(33).\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 7:49 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-6) + -2 + (-3)\/6. Let o be (-12)\/4 - j - -12. Solve 3*d - 9*d = -o for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.032 and -189.50596.\nAnswer: 6.06419072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-2 - 0) + (9 - 15).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h - 14 - 1 + 3*h + 0*h. Let w be t(5). Suppose 0 = 5*l - w*x - 10, 12 = 5*l - 4*x - 0. Is 24\/5 > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18151109 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 440433 is divided by 146807?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -9, 13, -0.2, 0.2, 29, -6\/19?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 5106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 23*a + 185. Let w be g(-8). Which is greater: w or -16\/57?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.06 - 0.14. Let l = 9 + -5. What is the second smallest value in -1, -1\/2, l, p?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14164 = -3*x + 3*w + 14191, 5*w + 47 = 3*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -3. Suppose -5*l - d*t - 6 + 0 = 0, -3*t + 5 = -l. What is the smallest common multiple of 11 and (-166)\/(-18) + l\/9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-1\/3)\/w*w)\/(w\/(w*w**(1\/7)\/w*w*w)*w))**(-7\/9)\/(w**(-7)\/w*w*w**8)**30 assuming w is positive.\nAnswer: w**(-827\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 239163 - 239163.0490165. Let u = r + 0.049. Round u to 6 decimal places.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f + 13*f + 8*f)*((3*f - 3*f - 5*f)*(1 - 1 - 1) + 3 - 11*f - 3) in the form m*f**2 + u*f + v and give m.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -12.8. Let j = -1.2 - q. Sort 5, j, 6 in descending order.\nAnswer: 6, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16329120?\nAnswer: 2, 3, 5, 34019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*b**3 + 26*b**3 + 29*b**3.\nAnswer: 142*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20007 + 20265. Solve -219*u = -176*u + k for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**0\/s))**(4\/7)*s**(-5\/6)\/(s*s*s**(-2\/15)) assuming s is positive.\nAnswer: s**(-109\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13735221.\nAnswer: 3, 4578407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -3*a + 106, 0 = -a + 5*b + 31 + 19. Let -a - 2*w + 137*w**2 - 132*w**2 - 3*w = 0. Calculate w.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -222423342011 - -3?\nAnswer: -222423342003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 114912.439 and 0.02.\nAnswer: 2298.24878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(891) + 1)**2 + sqrt(891).\nAnswer: -9*sqrt(11) + 892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 185648649533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 471350 and 6625.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 1015*u + 45 - 1017*u)*(2*u**4 - 2*u + 2*u).\nAnswer: -4*u**5 + 116*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**2 - 206*l - 147609. What is c(-225)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21395885671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 124 = 5*w, w + 30 = -o - 3*w. Let q = o + 46. Calculate the least common multiple of q and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*u = -23*u + 151620. Round u to the nearest one hundred.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-2520)*14)\/((-10)\/(-24)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 17, 21, 23, 23, 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + a**2 - 3*a - 2. Let h(w) = -w + 10. Let f be h(12). Let z be k(f). Solve z = -0*l - l - 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3549242\/15 bigger than -236616?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4886 - 12359 = -876*y + 22759 + 9188 for y.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -122546*y**3 + 2*y**2 + y. Let n be l(-1). Let k = 944377 - 626924. Suppose -d + k + n = 0. Round d to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 5*l + 21 = -2*k, 0 = 4*k + 2*l + 14 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 5304448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 227, 3, 80, 11 in descending order.\nAnswer: 227, 80, 11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5256 is divided by 143.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 18*j + 6*j - 25*j - j. Let r(t) = -t - 7 + 7. Calculate l(r(s)).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -186, -353, -592, -885, -1214, -1561, -1908, -2237?\n\"Answer: 3*o**3 - 54*o**2 - 26*o - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of 3*x**2\/2 + 10*x - 185. Let l(u) = -u - 3. What is -4*i(v) - 14*l(v)?\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -5827*b - 559408. Calculate q(-96).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -12) + 4 + -1 + 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1106*y - 50329 + 19361 for y.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -7.6, 0.5, -2, -1\/3 in ascending order.\nAnswer: -7.6, -2, -1\/3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/43 in -19, -1\/2, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 7, 2\/7, -2\/13, 0?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**2 - b**3 + 2*b**3 + 0*b**3 + (-2*b**2 + 0*b**2 + 1 - 2)*(35*b - 47*b - 236*b + (4 - 3 + 0)*(-3 - 2*b + 3)).\nAnswer: 501*b**3 - b**2 + 250*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9152 divided by -13.\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -f**5\/60 + f**4\/3 - f**2. Suppose b - 8 = -1. What are the prime factors of s(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -127130.801832 - 0.4.\nAnswer: -127131.201832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 3*t - 5*y, 0 = -4*t - 2*y + 5*y + 20 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cuq when three letters picked without replacement from uuuqcuuquuqqu.\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 240746?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 128, -0.6, -90, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 301\/5 + -59. Which is bigger: -39 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53340.\nAnswer: 2, 3, 5, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 - 20. Suppose -j - 4 = -3, -18 = -4*v - 2*j. Suppose -v*f + f = -12. Solve 3 = -f*o - i for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) -89 (c) -0.5 (d) 38\/9 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.297485 nanograms to micrograms.\nAnswer: 0.004297485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 - 553 = -3*p. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 6037906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 2*k + 13, 3*m - 37 = 5*k - 9. Suppose 14*u - 264 = m*u. Let l(x) = 221*x - 1. Let h be l(1). What is the greatest common divisor of u and h?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-3*sqrt(2)*-3 + -2.\nAnswer: -18*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 255\/306 + (-7)\/30. What is the nearest to -7\/4 in v, -1\/2, 0.3, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 21546799.\nAnswer: 172374392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -773*k + 4. Let r be q(4). Let m be r\/1030 - 24\/(-8). Let o = -1552\/3605 + m. Sort 0.5, o, -2.\nAnswer: -2, o, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -431 + 75*c - 2*c**3 - 9*c - 68*c to the form r*c + x*c**2 + t*c**3 + q and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258 is divided by 87.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6747581.\nAnswer: 6747581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 552 and 9784936.\nAnswer: 29354808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 7*l**2 - 2*l. Suppose 95 = 166*r - 147*r. Calculate x(r).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 88, 184, 314, 478, 676, 908?\nAnswer: 1174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*y**2 - 5*y**2 + 5*y**2)*(-6*y + y - y) to the form s + b*y**3 + h*y + x*y**2 and give b.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a decade in months?\nAnswer: 1860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-6*sqrt(112)\/sqrt(2))\/(2*1*sqrt(8)*5).\nAnswer: 12*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183006?\nAnswer: 2, 3, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*c + 6*c = 150 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/864 and 37\/1755?\nAnswer: 56160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -7*o - 4. What is the smallest common multiple of p(-2) and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70798201.238 - 0.08.\nAnswer: 70798201.158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 0.1 (c) -225.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 597 divide 1742046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 583, -2.\nAnswer: -2, 3, 583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of r**6\/27 + 28*r**5\/45 + 43*r**4\/18 + 20*r**3\/9 + 109. What is s in i(s) = 0?\nAnswer: -10, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24.6 - 53807365798\nAnswer: -53807365822.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 5*s**3 - 8*s**2 + 3*s + 6. Is q(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -2, 12473086 in increasing order.\nAnswer: -4, -2, 3, 12473086","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1297952 and 303776?\nAnswer: 14277472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 9*h**2 + 3*h + 16. Let x be u(-4). Suppose -13*f + 138 + x = 0. Calculate the remainder when f is divided by (-25)\/(-3) - 1\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 982.\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + p + 2. Let d(j) = -534*j**2 - 356*j - 712. Calculate -d(o) - 356*f(o).\nAnswer: 178*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -30, -17, 2?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + y = -8. Suppose y*z = 2*h - 17 - 7, 3 = -h - z. Suppose -h*m = -m + 2. Let x(k) = -k - 1. Determine x(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tf when two letters picked without replacement from {n: 11, t: 1, v: 2, f: 5}.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2040)\/27*(3 + 0). Let v = f - -4826\/21. What is the second biggest value in v, 0.1, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 2:35 AM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 g when four letters picked without replacement from gggmmggmgg.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 2. Let w = -447 + 441. What is the second smallest value in w, f, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-7)\/(560\/(-10)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -139.579 - 2.521. Do o and -0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 382 - 387. Let t be ((((-5)\/(-2))\/i)\/2)\/(-1). Find p such that 1\/2*p**2 + 3\/2*p**3 - 3\/4*p - 1\/4*p**4 - t - 3\/4*p**5 = 0.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 706679 >= 2120035\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1041444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1424814 divided by 219\nAnswer: -6506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 4*q**2 - 5*q + 18. Let m be b(-4). Suppose 7*w - 164 - m = 0. Calculate the remainder when w is divided by 23.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + 9*w + 22. Suppose 5*m - 113 + 137 = 4*r, 56 = -4*r - 5*m. What is o(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4003 (base 9) in base 2?\nAnswer: 101101100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 4*t - 112 = 210, -2*t = -4*r - 684. Let u = r + 161. Let g(n) = -7 + 0*n - n + 0*n. Give g(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 1100102111002?\nAnswer: -1100102110222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118611 is divided by 3120.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-90)\/(-27))\/(5\/(-15)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 1:49 AM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 4*o. Let z be y(-3). Solve v - 8 = z*r + 3, 2*v + 33 = -5*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2, 0, 2\/175?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5065*a = 5070*a - 2*s + 67, 0 = -a - 3*s + 58 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(832) - sqrt(832) - (0 + sqrt(468)).\nAnswer: -22*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cwyp when four letters picked without replacement from {t: 2, y: 1, p: 1, x: 1, c: 1, w: 2}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**2\/7 - 446336*j\/7 + 446322 = 0 for j.\nAnswer: 7, 223161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of 0*p**3 - 1\/60*p**5 + 1\/24*p**6 + 0*p**4 + 3*p**2 + 0 + 0*p. Find the third derivative of u(v) wrt v.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -5. Let w = 1\/70 + -3\/10. What is the second biggest value in w, s, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**2 - r. Let z(a) = 11*a**2 - 24*a - 2. Calculate 6*d(t) - z(t).\nAnswer: t**2 + 18*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/(-81))\/(10\/(-84)*(-11)\/(-55)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146 = 10*y + 404. Let c = y + 67. Let i be c\/(-8) + 366\/4. What is i rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -232.32182 to one decimal place.\nAnswer: -232.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 0*n - 7 = -n, 1 = t - n for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 249 = -3*h + 4*h. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 9\/12383?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -5*b - 3*v, 0 = 2*b + 2*v + 2. Let h be (-63)\/(-12) - 1\/b. Let a = -9 + 6. Sort 2, h, a in decreasing order.\nAnswer: h, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 5 - 2*w)*(-4 - 4 + 6)*(-1 + 7*w - 29*w + 5*w) to the form t*w + j + y*w**2 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 3*q - g - 10, -q + 5*g = -7. Suppose -6*l + l + 214 = q*a, l - 2*a - 50 = 0. Does 7 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*r + 4*l, -4*l + 6 - 18 = 0. Let j be -1*(-16 + (0 - -1)). Suppose -r*h + j = -3. What is the highest common factor of 81 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 i when three letters picked without replacement from {a: 5, b: 7, i: 1, v: 5}.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(112)*5.\nAnswer: -5 + 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -30\/91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sk when two letters picked without replacement from jinsnknnjiijjjn.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1105, 1113, 1119, 1123?\nAnswer: 1125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5383 + -5864.6. Let u = w - -482. What is the third biggest value in 47, -0.2, u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**3 - 33*w**2 - 47*w - 13. Let f(t) = t**3 + 16*t**2 + 23*t + 6. Let x(l) = 4*d(l) + 9*f(l). Let v be x(-10). Is 58\/5 < v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 3*p + 3, -11 = -6*h + 4*h - p. Suppose -21 = -h*q + x - 0*x, -5*x = -2*q + 15. Suppose -124 = -5*w + 1. Solve -q*o + w = -0*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 3*m - 27, 0*m - 3*c + 3 = 2*m. Let i(k) = -2*k**3 + 5*k**2 + 5*k + 3. Let t(a) = -2*a**3 + 6*a**2 + 6*a + 4. Give m*i(b) - 5*t(b).\nAnswer: -2*b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13\/46 + -51\/23. Which is the third biggest value? (a) i (b) 0.1 (c) -4 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 22548723\nAnswer: -22548728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14285\/68904 - -1\/2376. Which is the second biggest value? (a) m (b) -1 (c) -2\/3 (d) -2 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*v = 125 - 71 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1109437 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 70303 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: Calculate prob of picking 1 p and 1 v when two letters picked without replacement from {p: 1, m: 2, k: 7, v: 7}.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 243 - 250?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 10095233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + 9*q + 9. Let z be h(-8). Suppose -7 = -t + z. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/5*(-195)\/(-156)*(-5)\/180.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/8*(-112344)\/(-4530)\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2\/35, -3, -5, -2?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 399 and 27?\nAnswer: 3591","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 17998835392+0.2608\nAnswer: 17998835392.2608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -234405*0.07.\nAnswer: -16408.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(136)*-3 + sqrt(136))\/((sqrt(1152)*2 - sqrt(1152)) + sqrt(1152)) + -6*(sqrt(17) + -4) + (sqrt(153))**2 + 5.\nAnswer: -73*sqrt(17)\/12 + 182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -106 (b) -68 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 25 + 7. Let u(l) = l**3 + 7*l**2 + 6*l + 21. Let t be u(p). Are -91 and t unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/4*(301\/70 + -4)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -30 and 152954.8 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 99.93498 litres?\nAnswer: 99934.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 5*f = -2*o - 18, o - 21 = -5*f. Suppose -z = 3*h + 4 - 3, f*h = z + 8. Does 13 divide h\/(2\/156*3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w**2 - 5988*w - 65505 = 0. Calculate w.\nAnswer: -1985, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -445*q - 1450. Calculate h(-3).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8737 + -87301\/10. What is the common denominator of -83\/12 and w?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 4:31 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43829779.\nAnswer: 7, 41, 152717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 804*w**2 + 22442*w - 172. Calculate v(27).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 187 - 270. Let h = l - -228. Let m = 360 + h. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23650193 - -36050193. Suppose 3*o - x = 5*o. What is o rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 327298 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*u**3 - u + 93*u**2 + 54 + 0*u - 4*u**3 + 6*u**3 - 55 to the form r*u**2 + y*u + q + o*u**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 61 = -21*d - 34. Let f(b) = -4*b**2 - 4*b - 2. Calculate f(d).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 14*n**2 + 14*n - 18. Let f be s(13). Find the common denominator of f*1 + (-504)\/(-66) and (-4)\/40*75\/(-2).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 185 - 184. Calculate the remainder when 80 is divided by q\/5*138 - 93\/155.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -33, -54, -89, -144, -225, -338?\nAnswer: -489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -4*q**3 + 10*q**2 - 10*q + 7. Suppose 34 = -2*n + 6. Let j(w) = 3*w**2 + 40*w + 39*w + 2 - w**3 - 120*w + 38*w. Determine n*j(y) + 4*s(y).\nAnswer: -2*y**3 - 2*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -4*i**3 + i**2 - i + 1. Let n(r) = r**4 - 59*r**3 + 3113*r**2 + 10457*r - 14. Let z(l) = 14*a(l) + n(l). Factor z(p).\nAnswer: p*(p - 59)**2*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -u + 20. Let m = -10665\/14 - -767. Find the common denominator of u\/2*(-98)\/10 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 980*o - 920*o + 3360 for o.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*s**5 + 3754*s**4 + 13969*s**3 + 12158*s**2 + 1760*s = 0.\nAnswer: -16, -10\/3, -1, -11\/61, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -13*h + 3. Let l(p) = 26*p - 5. Let t(a) = 7*j(a) + 4*l(a). Let f be (2 - -4)\/((-3)\/(-2)). Suppose -6*g + 10*g = f. Calculate t(g).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-2*2\/12*-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 16. Suppose o*j = 7*j - 229. Suppose 4*m - 47 = j. What are the prime factors of m?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*n**2 + 28*n**2 + 601 + 90 - 46 in the form x*n**2 + w + p*n and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -7. Let k = i - 4. What is the nearest to 1 in 1\/2, k, 0.4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7824528.\nAnswer: 2, 3, 67, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggkoozgnkganagnna. What is prob of sequence ogg?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -60 - -422\/7. Let f = 1278.2 - 1278. Let r = -6 - -23\/4. What is the nearest to -3 in r, f, p?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 174.859 days in minutes?\nAnswer: 251796.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10246 and 188?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (240 - 256) + (6 - (-3 + 21))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52*o + 1413 - 1413)*((5 - 5 + 1)*(3 - 4 - 1) + 4 - 1 - 2 - 6 + 8 + 5).\nAnswer: -312*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 6, h: 1, d: 1, v: 3, l: 1}. What is prob of picking 1 v and 1 l?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - t - 32 = -3*p, t = -4*p + 34. Suppose 3*r = -2 + p. Solve -r*c + 5 = -3*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l. Let o be -4 - 1\/((-2)\/12). Let f(d) be the third derivative of 0 + o*d**2 + 0*d**4 + 0*d**3 + 0*d - 1\/60*d**5. Give f(n(c)).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 11:31 AM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -5\/3*n**3 - 3\/2*n**2 - 4 + 3\/4*n**4 + 0*n. Let t(k) = 2*k**3 - 3*k**2 - 2*k. Calculate 3*s(w) - 5*t(w).\nAnswer: -w**3 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44044 (base 6) to base 10.\nAnswer: 6076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 455 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.954 + 6.954. What is the nearest to 3 in -174, o, 0.3, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.03 + 4. Which is bigger: q or 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + 88 + 3 - -1. Let g = t - 937\/10. Let l = 3\/859 + -48119\/4295. Calculate the common denominator of g and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/3, 5, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 9) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1170 and 2304.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8641 - 6477. Which is bigger: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(((1*sqrt(99)*4 - (sqrt(99) - sqrt(99)*-2*3)) + 1)*4 + 1) + 4)**2*5.\nAnswer: -4320*sqrt(11) + 285300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*g*j*u**3 - 3*g*j*u - 54*j*u**3 + j*u**2 wrt g.\nAnswer: -2*j*u**3 - 3*j*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4674 and 7872.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((4 + sqrt(208))**2 + (sqrt(117) - sqrt(117)*1)) - (4 + 2*sqrt(208) - (sqrt(208) + -3 + sqrt(208)*-1 + sqrt(208))**2).\nAnswer: 32*sqrt(13) + 661","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12995)\/(-2898) - (-3)\/(-7). Let t = u + -14\/9. Which is the biggest value? (a) -7\/3 (b) 0.3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/106456 and -55\/14?\nAnswer: 106456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*l + 7 = -0*x, 3*x + 3*l - 27 = 0. Is x < -3\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 39\/15 - (-4)\/10. Suppose 0 = -2*s + k + 3. Calculate the remainder when 1 + -1*(0 - s) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -88*((-9)\/(-24) - 1\/(-8)). Which is bigger: -41 or b?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 32 = 4*m, -70*m = -58*x - 65*m + 212 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -22*b + 19*b + 5*l, 2*b - 3*l + 8 = 0. Let u = 118 - 32. Suppose -4*x = b*z - u, -2*x - x - 3*z + 72 = 0. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 540 = -0*p - 39*p + 99*p for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-44)\/16 + 2)*-4. Suppose -l*x + 5*x - 40 = 0. What is the smallest common multiple of 22 and x?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.9 - 5.9. Which is the smallest value? (a) 0.1 (b) -3\/5 (c) 1 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 66443*s**6 + 7*s**4 + 2*s**3 + 145*s**2 - 1008043*s wrt s?\nAnswer: 7973160*s**3 + 168*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1350 is divided by 446.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c**3 + 320632*c**2\/3 - 106876*c\/3 = 0. Calculate c.\nAnswer: 0, 1\/3, 26719","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2*l**3 + 184*l**2\/5 - 314*l\/5 + 24 = 0.\nAnswer: -20, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/434009360 or -1?\nAnswer: 1\/434009360","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/70*-1)\/(30\/1365).\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166144719.\nAnswer: 3, 13, 4260121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*h - 892 = -t, 4*t - h - 3484 = 0. Let v = 924 - t. Calculate the highest common factor of 208 and v.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-348)\/(-16))\/(3*4\/34560). Suppose p = 40*x - 4*x. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1547744701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 177.07*0.18.\nAnswer: 31.8726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2837918?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - s**2 - s. Let h(b) = -5*b**3 + 7*b**2 + 8*b. Calculate h(g) + 6*z(g).\nAnswer: g**3 + g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4978 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/10098 and 127\/12342.\nAnswer: 111078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5ab (base 13) to base 7\nAnswer: 2606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -41*r - 3. Let j(l) = 13*l + 1. Let q(v) = -3*j(v) - w(v). Let h(u) = 4*u**2 - 424. What is q(h(c))?\nAnswer: 8*c**2 - 848","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 381*y + 1909*y + 239*y in the form f + g*y and give g.\nAnswer: 2529","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 4641754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 1598 = -3*m - 1087, -4*g - 5*m + 2693 = 0. Let u = 674 - g. Suppose 0 = -3*i + 3*b - 0*b + 42, 5 = 5*b. Solve 5*v - u*v = i for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9238 and 0.6.\nAnswer: -5542.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 23\/(4*(-1)\/(-4)). Suppose -6*a - 5 = -p. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -27, -48, -71, -96, -123?\n\"Answer: -a**2 - 18*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 7673 = 30*v - 1694. Calculate the highest common divisor of 26163 and v.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.3 - -2.2. What is the closest to 2\/7 in -2\/5, r, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.06 and 0.3.\nAnswer: 0.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2763543.\nAnswer: 3, 617, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 178 = -5*w. Let x = 34 - w. Suppose 0*r - 36 = -o + 2*r, 0 = -3*o - x*r + 117. List the prime factors of o.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -3 + 97 + -108?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71977 is divided by 610?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3222 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 74 - (-14 + 149 + -136 + -2 + 0 + -10).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 303.8 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1760?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31424 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 8, g: 1, b: 2, h: 9}. What is prob of sequence ghbh?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 34185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 at most as big as -7464\/425?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -5*(-1)\/60*10\/(40\/12). What is the fourth smallest value in 0, 0.04, 5, z, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 19, -1\/10, -2\/13, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1717 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/(-15) + (-286)\/(-132).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5*17 - (10 - (-1 - -7)). Let u = -87 - f. Solve -4*v + u = -6*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43699\/11210 - 2\/1121. What is the common denominator of -111\/14 and y?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56442?\nAnswer: 2, 3, 23, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.62 - -2.22. Let s(j) = -40*j - 3. Let n be s(16). Let f = -4509\/7 - n. Which is the smallest value? (a) f (b) y (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -3*y + 1361, -104 = -y + 5*r + 356. Let j = y - 140. What is the remainder when j is divided by 79?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ptu when three letters picked without replacement from {q: 1, u: 6, p: 1, t: 6, i: 1, a: 3}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1118909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 + (63\/12 - 3))\/((-36)\/(-48)). Find v, given that -2\/3 + v + 1\/3*v**4 - v**3 + h*v**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 6\/3*1. Suppose 0 = p*d + d - 15. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**2. Let n = -7 + 9. Let z = 3 - 1. Let m(i) = z*i + 3*i + n*i - 4*i. What is l(m(x))?\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6803, -10904, -15005, -19106, -23207, -27308?\nAnswer: -31409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bghr when four letters picked without replacement from hrgbgggvggggggggb.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.652028 centimeters?\nAnswer: 6520.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 12:20 PM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 213 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -37547*z + 788484. Give m(21).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 4:50 AM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -590*a - 10296. Determine p(-17).\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 218.5015 years to millennia.\nAnswer: 0.2185015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*u - 266*u = 6966 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*r + 4 = -c + 13*r, 0 = -4*c - 3*r - 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -306, -304, -302?\n\"Answer: 2*p - 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19149.65 millennia in months?\nAnswer: 229795800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 2*o**2 + 5*o - 4. Let b be w(6). What is the highest common factor of b and 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*r - 11. Let s(t) = t**3 - 6*t**2 + 3*t + 15. Let n be s(r). Let p = -6 - -9. What is the closest to 0 in -9, n, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -185 + 594. Suppose 113 - c = -2*d + 2*o, 2*d - 4*o - 294 = 0. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 - -37. Let d(u) = u - 5. Calculate d(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j**2\/3 + 6613216*j\/3 - 8817600 = 0. What is j?\nAnswer: 4, 1653300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -129 (base 11) to base 14.\nAnswer: -ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 614b (base 12) to base 14\nAnswer: 3bd1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**2*g)**(-2))**(2\/79))**(-8\/9) assuming g is positive.\nAnswer: g**(128\/711)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/37 or -0.058083?\nAnswer: -0.058083","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 4*c - 5*l + 37, c - 2*l + 13 = 0. Let x be c + 3 + 5*1. Suppose 2*b - x = b. Solve -4*z = -5*k - b, 2*k - 1 = 4*z - 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -299 + 300. Sort 13, w, -5, 3 in ascending order.\nAnswer: -5, w, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*v + 831763 = 2095. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**3 - 149*z**2 - 78*z + 230. Let l be f(75). Which is the closest to 1\/2? (a) 4 (b) l (c) -0.031 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.026763636708 and -0.2?\nAnswer: 0.226763636708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -9) + 1 - 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -131810 (b) 1\/9 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -52*u + 642. Let s be k(12). Solve 5*t + 3 - s = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2 - 1513*v**2 + 1535*v**2 + 81 - 10*v. Is o(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*h**2 - 3*h + 17*h**2 - 38*h**2 + 14*h**2 as k*h**2 + g + n*h and give k.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + 5*n - 5. Suppose 4*y - 18 = -2. Suppose y*q - 3*q = 3. Let l be z(q). Solve -h = l - 3 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**2. Let q(w) be the first derivative of 16 + 0*w - 4\/3*w**3 + 0*w**2. What is z(q(c))?\nAnswer: 32*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 9 + 1 = 0. Let u be i\/(-18) + (-8)\/(-36). Suppose -6*j + 90 = -u*j. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**2 + x - 55. Let s(k) = -k**2 + 29*k - 63. Let c be s(27). Let b be v(c). Calculate the highest common divisor of 14 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221374 is divided by 677?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*h - 14 + 14 to the form o*h + l and give o.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -3*q**4\/2 + 42375*q**3\/2 - 11819847*q**2\/2 + 942184881*q\/2 - 7482590703 = 0.\nAnswer: 21, 131, 13842","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-17)\/(-34)*(-7)\/(-2). Let m(g) = -2 + 5*g + 4 - 1 + 0*g - g**2. Let t be m(5). Which is smaller: o or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 6*h - 1. Let l(p) = -6*p**2. Let y be l(1). Let q be x(y). What is the closest to q in -2\/9, -0.2, -1\/6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*m + 11*m - 9. Let w(f) = 2*f**3 + m*f + 6*f**2 + f**2 + 3*f**2 - 4*f**2 - 12. Is w(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 547592 is divided by 1055?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**2 - 252*l + 6 + 252*l as z + v*l + h*l**2 and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*f + 2*f = -50*u - 4*f - 18, 0 = -3*f + 51 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(153) - -5*(sqrt(153) + -2*sqrt(153))))\/(sqrt(1089) - (sqrt(1089) + -6*(sqrt(1089) + (sqrt(1089) - (sqrt(1089) + -2*sqrt(1089)))))) + -3.\nAnswer: -3 + 2*sqrt(17)\/99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 86 - 734. Does 21 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13389, 2, 4, -2, -5 in descending order.\nAnswer: 4, 2, -2, -5, -13389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -24*c**2 - 2*c - 3. Find the common denominator of u(-1) and 113\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.40434 rounded to 2 dps?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(208) + 3 + (-6*(sqrt(208) + 1 - sqrt(208)) + sqrt(208))**2.\nAnswer: -36*sqrt(13) + 247","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -s + 115, 2*s + 4*v - 218 = 8*v. Suppose 102 = 3*k - s. Is k a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4010752 and 1280?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 486*a = -40*a - 526. Which is smaller: 40\/111 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*p + 38*z = 21*p + 34*z + 28, 2 = 5*p + 5*z - 13 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**2 - 226885954*s + 12869309030622529 = 0.\nAnswer: 113442977","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -10*x - 12. Let u be c(-8). What are the prime factors of (-15)\/(u\/72 - 1)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + (-12)\/(-8))*(-2)\/10?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-36)\/(-6))\/(1 - -1). Let x = -230.1 + 230. Which is the third biggest value? (a) 0.2 (b) q (c) x (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, -7, -0.496, -8.\nAnswer: -8, -7, -0.496, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 35*z + 34. Calculate the remainder when u(16) is divided by 85.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 5*n + 20891, -19*k - 2*n + 34839 = -14*k. Suppose 16*f + k = 25607. Does 14 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*p**2 - 48*p**2 + 212*p**2.\nAnswer: 124*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/75)\/((-32)\/6640) + 10\/(-4)\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = u - 7, 198*g = 200*g + 4 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -10*n**2. Let u(x) be the third derivative of 7*x**5\/15 + 131*x**2. Calculate s(u(t)).\nAnswer: -7840*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -5*d + 3*r - 2, 5*d + 3*r = 22. Let n(k) = -k. Let l be n(-6). Suppose 3*o = 4*o + i - l, -3*i = d*o - 14. Solve 12 = o*t - 8*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 289175 and 485.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -320 + 112. Let p = 423519 + -423517. Which is smaller: p or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -2. What is the second derivative of -18*x**2 + 22*x**2 - 21*x**l + 10*x wrt x?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 1531*r + 574036. What is a(-375)?\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does -70.2 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a hour in seconds?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g - 4*v - 17, -2*v = -4*g + 2*v - 28 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*c + 6 = -55*c. Let z(o) = 2*o**2 + 11*o - 6. Let i(y) = -5*y**2 - 31*y + 18. Let b(j) = -3*i(j) - 8*z(j). Give b(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*i - 61*i - 12798 = 0. Calculate the greatest common factor of 18 and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 9 + -1 + -4 + -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 - 7*j**2 + j. What is a(-7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 74? (a) -1\/3 (b) 1\/4 (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 305 = 36*i - 199. Solve 5*o + i = y, 3*o + 2 = 4*y + o for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2082751.26 to the nearest 100000.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -37*g + 35*g. Let c(o) = 22*o - 22. Let w be c(g). What is the lowest common multiple of 20 and (-4)\/14 + w\/(-28)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3*o**2. Let v(a) = -80*a + 60. Determine v(p(s)).\nAnswer: 240*s**2 + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 - 29*z + 194. Let g be r(21). Suppose -24*h = -g*h + 3298. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 317582300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 32 - 364 = q, -2*c + q = -134. Calculate the greatest common factor of c and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (6 - (-7 + -1)) + -7?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2052*c + 1105*c + 1066*c - 10541 + 188 for c.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 3*h = -5*p + 33, 4*h + 11 = 3*p. What is the remainder when 20 is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of 467*j**7\/210 - 161*j**3\/2 + 249*j**2. Find the first derivative of i(x) wrt x.\nAnswer: 1868*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 6*f + 5. Let n be r(6). Let c(z) = z**3 + 5*z**2 - 8. Let o(y) = -y**2 + 1. Let x(a) = n*o(a) + c(a). Find the first derivative of x(h) wrt h.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3085*h**2 + 21*h - 55. Let k(v) = 9264*v**2 + 62*v - 166. Let s(j) = -3*k(j) + 10*q(j). What is the second derivative of s(c) wrt c?\nAnswer: 6116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 2:39 AM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20)\/(sqrt(4) - -1*sqrt(4)) - (sqrt(20)\/sqrt(4) + 0)) + sqrt(35)\/(sqrt(847) - 2*sqrt(847)))**2.\nAnswer: 845\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r + 10441 = -719. Calculate the highest common divisor of r and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 0 - (-1 - 0). Let u = b + 1. Calculate the smallest common multiple of (-2 - -8)*4\/12 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -10*i**3 - 9*i**2 + 2*i - 6. Let j be y(-7). Let g = j - 1069. Suppose -8*c - g = -6*c. What is c rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1213, -8849, -29527, -69763, -136073, -234973, -372979?\nAnswer: -556607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1550150\/(-8) - 3\/12. Let v = -89761 - z. Suppose h - 4*w = 2*h - v, 312008 = 3*h + 4*w. Round h to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 8*h**2 + 4*h - 3. Does 8 divide z(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 242 - (104 + 130) - (-1 + 1 + -2 + -38)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 56337 - 33428. Let x be q*1 + (-1 - -2). Suppose -3*u - x = 5590. What is u rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((11 + 10 - 32 - 2*s)*(4 + 11 + 6) - 4*s + 3*s + 2*s)*(0*s + 3*s - 5*s) to the form f*s**2 + c*s + j and give f.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -391, 203541, 5 in ascending order.\nAnswer: -391, 5, 203541","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 19616.7*0.3838\nAnswer: 7528.88946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1279006 to the power of 1\/2, to the nearest integer?\nAnswer: 1131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8099, -8100, -8101?\nAnswer: -8102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15*(144\/12)\/(-12)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 9*z + 15. Let u be p(-10). Suppose -l - 1 - 8 = u*s, 0 = -3*l + 2*s + 7. Calculate the lowest common multiple of l and 480.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 PM and 5:55 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 220*f + 232*f + 17.\nAnswer: 12*f + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5391 - 2740. Let v = -18518\/7 + j. Find the common denominator of v and -5*((-96)\/15 + -3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 14835793 and 14835790 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 934557287 to the nearest integer?\nAnswer: 978","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 163*c + 74*c - 47*c + 172*c + (-c + c - c)*(4 - 4 + 1).\nAnswer: 361*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 360 = 5*a - 3186, 0 = -3*u - 3*a + 2118. What is the least common multiple of 5632 and u?\nAnswer: 5632","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - (-24)\/3 - 1. Let q be 1\/(10\/(-60) - (-962)\/(-528) - -2). What is the greatest common divisor of q and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1921? (a) -1\/4 (b) -1 (c) 3.75 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 1:52 AM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 5*l**4 - 8*l**3 + 55*l**2 - 153*l. Let d(r) = 2*r**4 - 3*r**3 + 27*r**2 - 77*r. Let u(h) = 7*d(h) - 3*o(h). Determine g, given that u(g) = 0.\nAnswer: -5, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**2 - 40*u**3 + u**4 - 6 + 83*u**3 - 43*u**3 to the form a*u + m + o*u**4 + l*u**3 + b*u**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10 + (108\/(-26) - (-22)\/143). Let u(x) = 32*x - 1. Is u(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r + 33. Let v be m(-15). Factor -o**2 + 0*o + 1\/2 + 0*o**v + 1\/2*o**4.\nAnswer: (o - 1)**2*(o + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-26 - -20)\/((-3)\/2). What is the closest to -0.02 in f, -0.4, 1\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, y: 2, v: 1, u: 1, x: 2}. What is prob of sequence sy?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12750*g - 12750*g - 9*g**2 + 1 - 113*g**2.\nAnswer: -122*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -9110000 to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 6*x**2 + 425*x + 3646. Calculate r(-9).\nAnswer: 307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(9\/4))**(-30)\/(n\/(((n*n**(1\/4))\/n)\/n))**(-26) assuming n is positive.\nAnswer: n**83","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.954202 micrometers to meters.\nAnswer: 0.000004954202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 14406.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29882408 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -7467.4725 to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -98 + 140. Suppose -2*r + 4*l = -76, r + 2*l - p = -0. Is -2*(3 - 8*r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 949783 at least as big as 949787?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 32501\/49 - (-8)\/(-28). Suppose -20*n + 17*n + x = 0. What is the remainder when n is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of -y**5\/150 - y**4\/60 - 11*y**2. Factor k(n).\nAnswer: -2*n*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -13.5. Which is the nearest to 2\/7? (a) g (b) -1 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 12. Suppose -2*g = -147 - w. Suppose -5*f - 2*j + g = 0, j + 5 = -4*j. Is f a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(24\/((-144)\/12))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 + 8*f - 30. Let o be t(3). Let y(v) be the second derivative of 5*v - 2\/15*v**o + 1\/30*v**4 + 0 + 0*v**2. Determine s so that y(s) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1031 a factor of 26221268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -c**5\/20 - c**4\/12 - c**3\/3 - 3*c**2\/2 + 5*c. Let b be m(-2). Solve b*y + 2 = -8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 AM and 12:29 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 83? (a) -5\/6 (b) 0.4 (c) -15 (d) 2 (e) 21\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -721.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17.6 + 18.6. Put 3, h, 22\/9, -2 in ascending order.\nAnswer: -2, h, 22\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5148?\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 4:50 AM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tddd. Give prob of sequence dd.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 16 + -17 + 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 128*o + 1458717 - 1447709 for o.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 137010253 to the nearest integer?\nAnswer: 11705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -23002.572 times -0.4?\nAnswer: 9201.0288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.4 + -0.1. Let l = 0.6 - i. Is 0.1 less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 9*y**2 + 34*y - 10. Let k be p(-12). Let i(t) = t**2 - 8*t + 3. Let c be i(7). Let q be c\/(-2) - (-5 + 2). Solve q*g + k = -11 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -123*w**2 - 2*w + 10 + 253*w**2 - 128*w**2 + (6*w - w + w)*(0*w + 2*w - w) as z + l*w**2 + x*w and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c**3 + 2*c**2 - 14*c + 61. Is o(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n - 8. Suppose -a + 4*d - 6 = -21, -a - d = 0. Let x(h) = 125*h - 133. Let i be x(1). Let s(c) = 2*c - 23. Give a*s(k) + i*t(k).\nAnswer: -2*k - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4 = 4*c, -3*m - 2*m + 5 = -5*c. Suppose -x + 3*x + 2*g = 2630, c*g = 3*x - 3969. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w - 4. Let g be h(3). Suppose -4*t + 2*i = -3 - 19, g*t = -4*i + 21. Suppose 0 = t*f - 5*z + 5 - 15, -4*z = -2*f + 2. Solve f = -4*o + o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 91 + -90.95. What is the closest to k in -4, 0.5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29\/42 or 15794?\nAnswer: 29\/42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10 - 4?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 149871124 to the nearest integer?\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11020946?\nAnswer: 2, 97, 56809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -113630092 from -175.\nAnswer: 113629917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3aa03 - -15?\nAnswer: -3a9aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3841962 - 76863033\/20. Let x = -1190 - v. What is the common denominator of x and ((-162)\/(-16))\/((-33)\/(-4))?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1977 less than -3?\nAnswer: -2.8023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*h + 12. Suppose -p - 5*d = 16, -5*p = -h*d - 31 - 5. Suppose 19 + 1 = -5*v, p*f - 4 = -4*v. Solve -25 = -x + 4*y, 4*x + 5 = -0*y - f*y for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - -2)\/((-3)\/(-8)). Let y = i - 3. Calculate the remainder when 8 is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5942988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*g**2 - 12776*g + 2132508 = 0. Calculate g.\nAnswer: -3353, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.2 - -1. Let d = l - 0.14. What is d rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -5*l + 449, 0 = 3*x + l - 327 - 1006. Let g = -191 + x. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/9? (a) 2 (b) 0.1 (c) 29 (d) -24 (e) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 211 = -11. Let c = -35 - k. Solve -3 = 3*t + 3*x, 2*t - c*x = -0*t - 18 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56 - ((-10 + -1 - 0 - (-446 + 441)) + 6)\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -35*h**4 + h - 206?\nAnswer: -140*h**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1880742412?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*x + 498493 = 3352953. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -10*u**4 + 15*u**3 + 5*u**2 + 10*u - 20. Let x(g) = g**4 - g**3 - g**2 + 1. Let d(k) = -w(k) - 25*x(k). Suppose d(b) = 0. Calculate b.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 + 0*q**2 + 0*q**2)*(-q**3 - 3 + 0*q**3 + 2)*(38 - 81 - 156).\nAnswer: 199*q**5 + 199*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of 0*q**4 + 0*q - 1\/70*q**7 - 7\/60*q**5 - 12*q**2 + 0 + 0*q**3 + 0*q**6. Find the third derivative of g(h) wrt h.\nAnswer: -72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 64*o**2 + 59*o - 213. Determine b(-63).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 1 + y**3 - 4 + 5*y**3.\nAnswer: 6*y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, -314, -0.458?\nAnswer: -0.458","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -42*y**3 + y**2 - 1. Let z be o(-1). Let r be (2303\/z)\/(1\/(-4)). Let t = r + 445\/2. Find the common denominator of -1\/9 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.43 + 0.53. Let v = 0.9 + -1.1. Put f, -3, -1, v in ascending order.\nAnswer: -3, -1, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 31*y**2. Let i(z) = 5*z**2. Determine m(i(v)).\nAnswer: 775*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 + -46?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 8, w: 2, h: 2, s: 5}. Give prob of picking 2 s and 2 w.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6420\/19 + 338. Let p = -1 - -0.6. Sort g, -2, p.\nAnswer: -2, p, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-8)\/(l\/(l**(1\/9)*l)))\/(l**(5\/6)\/(l*(((l**(1\/2)*l)\/l)\/l)\/l)))**7 assuming l is positive.\nAnswer: l**(-581\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14763225?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 9}. What is prob of sequence ooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -105 - -90. Let p be (3 - (-35)\/(-25))*z\/(-6). Solve -2*q + p*x = 12, -5*q - 24 = -3*x - 1 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in nine tenths of a gram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3748*x - 1015704. Determine z(-271).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 2*v**4 - 326*v**2 + 31*v**2 - 546*v - 190*v**3 + 739*v**2 + 290*v**2 = 0.\nAnswer: 0, 1, 3, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -126102, -126101, -126100, -126099, -126098?\n\"Answer: t - 126103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -121 + f - 3537 - 548*f**3 - 315*f**3 + 862*f**3 to the form y*f + d*f**2 + u + o*f**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -7*t + 96. Calculate p(10).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 303001223 (base 4) in base 9?\nAnswer: 347625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3024?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 683300555?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -532 - -540. Which is greater: y or 0.19?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -10254?\nAnswer: -10251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 18*a - 36. Let q be i(25). Solve -k - 3 = 4*b, 140*b - k = q*b - 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -197.\nAnswer: 5\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -289696, -579408, -869116, -1158820, -1448520, -1738216, -2027908?\nAnswer: -2317596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.000621 * 0.1823.\nAnswer: 0.0001132083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 686.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 78\/(-429) + (-46)\/(-11). Suppose u*n + 15 = -5*i, n + 2*i + 12 = -2*i. Solve -2*p + 4*f = -n*p + 2, 8 = 4*p + 4*f for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7*(-4)\/(-10))\/(2\/10). Let u = t - -114. Does 25 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, 8984, -1, 3.8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 - 5)*(9 - 6 + 20)*(-2 + 1 + 4)*(-7 + 4 + 8)*(4 - 1 + 1)*(-2 + 2*l**2 + 2) in the form d*l**2 + x*l + g and give d.\nAnswer: -13800","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1147, 4580, 10295, 18286, 28547, 41072, 55855?\nAnswer: 72890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4228 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: Let u = -8 + 15. Let w(p) = -2*p + 8. Let f be w(u). Sort -5, f, 0.2 in increasing order.\nAnswer: f, -5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/17)*m*m\/((m\/((m*(m*m**(-22)\/m)\/m*m*m)\/m))\/m) assuming m is positive.\nAnswer: m**(-321\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.1783 - 11.2203. Let y = s - -0.042. Which is the closest to y? (a) -2 (b) 5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hyh when three letters picked without replacement from byyhhbhbbhyyyh?\nAnswer: 25\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4*u**3 + 9*u**2 + 60*u - 235. Is d(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-20)\/3 + (-2)\/6. Let q = j - -11. Suppose 4*c + 0 = q*n + 20, 3*c - 5 = 5*n. What is the least common multiple of c and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01505 to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 6*l**2 + 3*l + 4. Let d be a(-6). Let q = 36 + d. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of 32*g + g**4 - 3 - 12*g - 1 + 2*g**4. Find the first derivative of o(a) wrt a.\nAnswer: 36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2234445737?\nAnswer: 29, 77049853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -20*r + 9. List the prime factors of y(-5).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 16*h**2 - 16*h + 8. Let i be n(15). Let l be (-2)\/4*(-9 - i). Put l, -4, -3 in decreasing order.\nAnswer: l, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -303*j - 256. What is the units digit of m(-25)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e + -3a?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 676121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -2005265.26802144\nAnswer: 2005268.26802144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) - -2*(sqrt(143) + 4*sqrt(143)))\/(sqrt(275)*2) + (1*sqrt(91)*4)\/(sqrt(7) + (sqrt(63)*-1 + sqrt(63))\/sqrt(9) + sqrt(7)).\nAnswer: 31*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 2.6. Let t(i) = -i**3 - 45*i**2 - 87*i - 38. Let z be t(-43). Which is the fourth biggest value? (a) z (b) y (c) 0.8 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 1\/4, 1.3 in descending order.\nAnswer: 1.3, 1\/4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -75 - -81. Solve -2*i - 3 = 5*w + 7, -3*w - u = 3*i for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138208855.\nAnswer: 5, 3547, 7793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 54.952381 to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -485.8 + 32.8. Let g = y - -449. Let i be -2*-5*(-1)\/(-2). What is the closest to i in -2, 0.2, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -9*n - 20. Let q be f(4). Let k = 63 + q. Solve -k = -3*s - 1 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*d**5 - 8*d + 56*d**5 + 67*d - 1 + 3 wrt d.\nAnswer: 1120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 776100*f + 723320.\nAnswer: 776100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 113 + 83. Solve -29 = -y*n + 1 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149728.\nAnswer: 2, 4679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-2) + 30\/5. Let b be ((-14)\/6)\/(w\/(-63)). Let z = -7 + b. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47491 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(108) + 2*sqrt(108) - (2*sqrt(108)*-5 + sqrt(108))) + -6*sqrt(108)*1*-2)**2.\nAnswer: 1440*sqrt(3) + 62233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -183715 divided by 35?\nAnswer: -5249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 12 - 8 + 2*j**2 - 11*j**2 + j**3 - 2*j**3 - 2*j. Let q be x(-9). Let o = q - 22. What is the closest to o in -4, -1, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1431630 is divided by 8275?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/9 of a day?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 92793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 + -1 + 0 - 80. Let j = 131 + i. Let r = j + -34. What is the highest common divisor of 63 and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3881, -3, -21, 2\/29.\nAnswer: -21, -3, 2\/29, 0.3881","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/16 of a week?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 5*u - 26 = 0, 4*j + 4*u - 1 - 15 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1633?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2840615553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-244)\/10)\/(4125\/(-5775)) - 34.\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 11:29 AM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w**2 - 5*w + 5. Let f(t) = 4*t**2 - 4*t + 6. Calculate 6*f(i) - 7*v(i).\nAnswer: 3*i**2 + 11*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 277*z**2 + 2. Is s(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 4*m**2 - 3*m. Let w be g(3). Suppose u = -5*l - 2*u + 159, l - u = 27. Let s be 9*(3 + l\/(-9)). Sort -5, s, w.\nAnswer: -5, s, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 3*w - 8 = 0. What is the units digit of (-1)\/2*w*20?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 2 - (-10 - -14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 43 + 27, -5*y = 3*r - 44. Solve -r*b = b - 36 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7647362 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -8, -2*j = -4*j + 4*z + 32. Suppose j = g + 3*g. Calculate the smallest common multiple of 12 + 0 + -2 - 2 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 0*f + 36443 - 118*f**2 - 36445)*(0*f**3 - 5*f**3 + 4*f**3).\nAnswer: 118*f**5 - f**4 + 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -19.97 and -132392.\nAnswer: 2643868.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 3:10 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 6 + 7)*(5*x + 7*x - x)*(0*x**2 - 2*x**2 + x**2)*(3*x**2 + x**2 + 0*x**2) + 0*x**5 - 3*x**5 + 2*x**5.\nAnswer: -353*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 278798, 278774, 278724, 278636, 278498, 278298?\n\"Answer: -2*y**3 - y**2 - 7*y + 278808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*s + 10 - 3*s + 7)*(0 + 0 - s) to p + w*s**2 + i*s and give i.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/5 of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -90*o*s**6 + o*s**3 + o*s**2 - 152*o*s + 3*s**2 wrt s.\nAnswer: -10800*o*s**3 + 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j - 6*j + j + j as b + t*j and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 6:52 AM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.13 + -5.87. Let o = v - -3. Let t = -3.3 + 3. Which is the third smallest value? (a) t (b) 2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 7*f = -s + 268, 0 = f - 2*s - 253. Is f a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of 389*g**8\/168 + 4*g**7\/105 - 1179*g**4\/8 - 2*g**2 + 10302. Find the second derivative of i(h) wrt h.\nAnswer: 15560*h**3 + 96*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-5) + (-24)\/(-15). Suppose z = x - 3*x. Let j(p) = -p - 9 + 8 + 2*p + 7*p**2 - 3*p. What is j(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 146, 1, -5, 11, -3, 15, -2 in descending order.\nAnswer: 146, 15, 11, 1, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8a79 - 336?\nAnswer: 8743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((24\/(-60))\/((-18)\/(-10)))\/((-54)\/(-6318)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/261989 or 0?\nAnswer: 5\/261989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3178?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-6))\/(2\/(-39) - (-9639)\/149175).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + 8*k + 2. Suppose 2 - 10 = -l. Suppose 0 = -5*t + 4*t + l. Let b be c(t). Solve -r - 2 = b for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zdd when three letters picked without replacement from {d: 7, z: 9}?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j + 5*j. Let v be 1\/(-2)*j - -11. Let r = v + 1. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 5*s + 5. Let m be v(5). Suppose -3*k + 6*k - 72 = -4*b, m*b - 35 = -k. Is 6\/(-2) + k + -5 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 1\/4 (c) -20 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/3163, -1\/5, 10, 2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 bigger than 60609393?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*q = 486 - 131 + 541 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.089 + -9.489. What is y rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o - 7*o - 38864 = 0. Let i = -1270 - o. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-2)*(-35)\/14. Solve 10 + 0 = -3*i - 2*q, -b = 5*i + q for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14.1 + -2.1. Let k = -1030.4 - -1030.1. What is the closest to 3\/5 in -3, w, 1\/5, k?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4717 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 11:16 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5858131 to the power of 1\/2, to the nearest integer?\nAnswer: 2420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -v**4 + 19*v**3 - 51*v**2.\nAnswer: -24*v + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -50\/33 and -89\/168.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -14 + 1 - (317 - 324).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 + 0*l + 2*l + 183*l**2 + 178*l**2 - 359*l**2 in the form p + s*l + c*l**2 and give p.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269881 is divided by 2502.\nAnswer: 2167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j + 32 = 12*j. Let o = -2 + -1. Let r = o + j. Solve r*b = -k + 11, -10 = -3*k + 2*b - 28 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**2 + 0*c**2 - 640*c**3 + c**2.\nAnswer: -640*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 49\/6 of a minute?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 + -31.6. Which is the nearest to -1\/2? (a) z (b) 0.02 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - g**3)*(-1 + 0 + 2) + 2*g - 2*g**3 - 2*g.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 186233000 to the nearest 1000000.\nAnswer: 186000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -442 - -441.999672. What is s rounded to 5 dps?\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, v: 2, y: 2, m: 4}. Give prob of sequence smy.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 55*k**2 - 7*k + 34. Let c be v(4). Let i(a) = 1769*a - c*a - 889*a. Let b(j) = -15*j. What is i(b(p))?\nAnswer: 90*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -3, -26, 0, 745 in increasing order.\nAnswer: -26, -3, 0, 1, 3, 745","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - 3*r**2 + 3*r - 4. Let a be u(-4). Suppose -5*l - 3*w - 27 = -a*l, -6 = -2*l + 3*w. Let p = l + 6. Is p at least as big as 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 1 + 2245*f**2 + 4 - 2249*f**2.\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76\/18*4149\/922*1.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a meter in centimeters?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1764) - (1*(2*sqrt(1764) - sqrt(1764)) - sqrt(1764))) + sqrt(1764) + 2*sqrt(1764)*2)\/((2*sqrt(48) - sqrt(108)*2)*2).\nAnswer: -21*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**1)\/(b*b**(-3))*b\/b**(-1\/6)*b**(1\/8)\/b*((((b\/(b**(-4\/3)*b))\/b)\/b)\/b*b*b\/b**9)**(2\/41) assuming b is positive.\nAnswer: b**(1269\/328)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.494519 to one decimal place.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/5 - 864\/(-180). Find the second derivative of 11*c**3 + w*c + c - 137*c**2 + 141*c**2 wrt c.\nAnswer: 66*c + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 45 - 30 = 0. Let d = q + 19. Let m = -87 + 343\/4. What is the biggest value in m, -3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177 is divided by 71?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17656 a multiple of 212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-54))\/((-9)\/((-28755)\/142)) - 1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -11*d + 6. Let s(a) = -26*a + 14. Let o(b) = 6*s(b) - 14*u(b). Let i(n) = -11593*n. What is i(o(z))?\nAnswer: 23186*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 40*k**4 - 490*k**3 + 665*k**2 + 2560*k - 2100 = 0.\nAnswer: -2, 3\/4, 7\/2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (1 - (3 - 10)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2188659 times -0.3?\nAnswer: 0.66565977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -602 = -6*w + 238. Suppose -w = -2*s - 24. What is the remainder when (-144)\/(-216) + 1364\/6 is divided by s?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**6*z**9*(z\/(z*z**(-10)))\/z**(-12) assuming z is positive.\nAnswer: z**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -13. Let o be p - (-3 + (-4)\/(-2)). Which is the second smallest value? (a) -2 (b) 13 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - 12fb8?\nAnswer: -12fb5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 1 + 3)*(2*o - 1 + 1) + (0 - 2 + 3)*(8 + 5*o - 8))*(-2 + 0 + 0).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 310677?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 2*i - 8. Suppose 125 + 31 = i*g. Suppose g = t - 7. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 453 is divided by 87.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xzz when three letters picked without replacement from ddddxdgzddddgdddxdzg?\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 26\/40) + 6\/24\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 5*d**3 - 1. Let l be y(1). Let m be 33\/(-6) - (-2)\/l. Let x = 9 + m. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 249 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 68 - 66. Let o = -2243 + 2246. Put a, -3, 76, o in increasing order.\nAnswer: -3, a, o, 76","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + sqrt(13)*3 + 1)*4)**2.\nAnswer: 128*sqrt(13) + 3344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0144 - -15.9856. Let i = 19.3 - 0.3. Let v = q - i. Which is the second smallest value? (a) 21 (b) v (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -437*n - 4*n**3 - 7*n**3 + 438*n.\nAnswer: -11*n**3 + n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*v + 3*s = -37*v - 43*v + 116*v - 47, 2 = 5*v - 3*s for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08 + 0.857.\nAnswer: 0.777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -22) + 12 + -13?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 600 and 2200?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 6*y**2 - 16*y - 7. What is u(-8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33227 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -v**4 + 6 + 2\/5*v**5 + 0*v**3 - 2*v + 2*v**2. Suppose h(m) = 0. What is m?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by -1326?\nAnswer: 8\/663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((17 - 76 - 36)*(-4*y + 2*y + 0*y) + 5*y - 2*y - y + (-4 + 6 - 4)*(-2*y + 1 - 1))*(-5*y - 23 + 23).\nAnswer: -980*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360)\/sqrt(8))**2 - sqrt(30)\/(sqrt(42)\/sqrt(7))) + (sqrt(50)\/(sqrt(50)\/sqrt(5)) - (sqrt(5) + 0)*-1)**2.\nAnswer: -sqrt(5) + 65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - s - 344 = 0, -347 = y - 3*s - 399. What is the second smallest value in y, -0.3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2343652 is divided by 3774?\nAnswer: 3772","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-five eighths of a week?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/11824 and -167\/250844682.\nAnswer: 2006757456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o, 1 n, and 1 u when four letters picked without replacement from {n: 1, o: 7, w: 4, u: 3, z: 1}?\nAnswer: 9\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-8))\/((-2)\/28) - (-141702)\/(-75240)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000912 to six decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 104 - 31. Let f = h + -66. Is f greater than or equal to 33\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1148 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: Three letters picked without replacement from vvovgyvowv. Give prob of picking 2 y and 1 o.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 780, 1567, 2368, 3183?\n\"Answer: 7*p**2 + 766*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 734*s**2 - 174 - 1481*s**2 + 174 + 750*s**2.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1241 + -1237. Suppose -4*x + 14 - 2 = 0. Solve x*c - 6 = 4*a, -5*a - 13 = c + o for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2326, -2327, -2328, -2329, -2330?\n\"Answer: -x - 2325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - -13) + (2 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 6 = -s. Let d(k) = 2*k**2 - 4*k - 6. Is d(s) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 60 = -0*w. Let y = w + -15. Which is smaller: y or 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 + 13*c - 27. Let x(w) = 10*w + 162. Let l be x(-15). Calculate d(l).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - (-34)\/8 - 13080\/10464. Suppose -x + 4*x = 6. Suppose 0 = o + 1, 2 = -f + x*o + 4. Which is smaller: d or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**4 + 1046*j**3\/7 + 3732*j**2\/7 + 2824*j\/7 - 1136\/7 = 0.\nAnswer: -71, -2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 69*y. Let x be z(-1). Let r = 168 + x. Suppose 2*m - 4*u = -m + 13, -4 = m - 3*u. What is the greatest common divisor of r and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 232\/72 + 2 - 5.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -3*z**2 - z. Let q(n) = 2092*n**2 + 5*n. Determine -q(y) - 5*w(y).\nAnswer: -2077*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1730 and 414508.\nAnswer: 2072540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 + 87. Suppose -26*q + 1315 + 1647 = 466. Calculate the greatest common divisor of t and q.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wgwtgtnng. Give prob of sequence tt.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-20)\/(-12) - (-4)\/(-6). Let i be (-48)\/3*o\/(-2). Let p = i - 5. Is p a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2*n**4 - 154*n**3 - 170*n**2 + 124762*n + 1011240 = 0.\nAnswer: -20, -9, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -25082523 or -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -2 - (2 + 5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1073 is divided by 176.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4111288 is divided by 1731?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 2*q - 39 + 0*q + 22.\nAnswer: -2*q + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of -l**3\/6 + l**2 - l. Suppose 2*h + 46 = 42, -4*a - h + 6 = 0. Let c be d(a). Solve w = 3*m + 9, c = w + 3*w + m + 16 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - 18*w**2 + 17*w + 3. Let z = -5430 - -5447. Determine u(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**2 - 27*b. Let q(j) = j + 2. Suppose 11 = -4*g - 5*n, n + n = -2*g - 6. Let h(r) = 6*r + 11. Let i(u) = g*h(u) + 22*q(u). Give i(o(k)).\nAnswer: -4*k**2 + 54*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6057 to the power of 1\/2, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 + 3 = -n. Let m = n + -24. Let c(k) = 6 + m*k + 4*k - 3*k. Determine c(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -6. Let g be (-14)\/(-4) - (-1)\/(-2). Let f = 0 + g. Which is the third biggest value? (a) f (b) n (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*g + 18*g - 3*g - 8*g.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-3)\/(-2))\/((-10320)\/(-688)))\/(1 - (-29)\/5).\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7895\/(-495) - -3)*1. Let p = -140\/11 - r. Which is the biggest value? (a) -3 (b) p (c) -0.2 (d) -5\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 913156 and 668.\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 39*q**2 + 40*q + 72. Let j be u(-38). Calculate the common denominator of (-265 + 11)*j\/(-2208) and 65\/24.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 15. Let k be 17\/(-3) + 22 + (-17 - 0). What is the closest to 1 in m, -0.1, k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + 8. Suppose 9*y - 9700000 = a*y. What is y rounded to the nearest one hundred thousand?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 5*i - 73, 4*i - 19 = -5*m + 22. Calculate the remainder when 880 is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9.76 - 0.24. Let q = -11 - i. Are q and 0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16377 + 85.\nAnswer: 16462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -0.02, -31, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 99\/45*(-90)\/(-18).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 5*a - 2 - 4, 0 = 5*a + 3*g - 24. Solve -2*p + a*p + 5*r = -4, 0 = -5*r for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*p - 17. Suppose -2*j - 900 = -2*q + p*j, -3*q - 4*j = -1370. What are the prime factors of q?\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k + 4*k - 2*k - 3*k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 43068457*y**3 - 61716*y**2 + 137*y wrt y?\nAnswer: 258410742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zj when two letters picked without replacement from {w: 1, j: 1, z: 3, q: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 22999094 a multiple of 713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2 (b) -2\/5 (c) -1 (d) 8\/17 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**3 - 2*y**2 + y + 1. Let g = -4 + 6. Suppose 0 = -4*x - 5 + 33. What is the least common multiple of u(g) and x?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*0*(-2)\/(-4). Suppose -5*r - 29 = -2*p, -r + 25 = -6*r. Let y(b) = -2*b**2 + o*b**2 - 5*b**p. Let l(m) = -2*m. Calculate y(l(q)).\nAnswer: -28*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1382+456447\nAnswer: 455065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -3.46.\nAnswer: 0.692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**3 + 8*h**2 - 21*h + 79. Calculate i(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*v + 4*h + 9, 3*h - 52 = -4*v. Let i be (-8)\/(-24) + 1\/(-3). What is the smallest common multiple of i + (-3 - -2) - -19 and v?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a*c**2*k - 4*a*c**2 - 24*a*c*k - 24341*a*k**2 - 18*c**2*k**2 + c**2 - 337*c*k + 4*c wrt k?\nAnswer: -48682*a - 36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6335 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -24*v + 12. What is the tens digit of t(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ixxxxxixx. Give prob of picking 1 i and 1 x.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*-6*(-24)\/36. Solve 3*r + 1 = f*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -5153 (c) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 256 + -254. Suppose 0 = d - 4*d + 6. What are the prime factors of (-199 - q)*d\/(-6)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 120 and 72?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o - 16. What is a(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -4*z - 8, -v + 0*z + z = 4. Let m be (-2 - 0)\/(v\/6). Solve -x = 3*p + 8, -3*x + p + 0*p = m for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 52*s**2 + 859 - 856 - 6*s**4 + 18*s**4 as h*s**3 + n + q*s**2 + a*s**4 + x*s and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7630344 to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7073347 is divided by 20622?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/18)\/(3\/(-9)). What is the fourth biggest value in s, -4\/7, 1\/5, 0.1?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3464 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20617246 to the nearest integer?\nAnswer: 4541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**4\/5 - 72*j**3\/5 - 648*j**2\/5 - 2592*j\/5 - 3888\/5.\nAnswer: -3*(j + 6)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -1\/5, 0.2, -41.23?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z - 16715*z**2 + 2 + 16717*z**2 + 217*z**3 - 4*z to a*z**3 + g*z + l*z**2 + i and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4160 and 1013248?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -22*j**4 - 986*j**3 - 9356*j**2 - 26296*j - 22704 = 0. Calculate j.\nAnswer: -33, -86\/11, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*t**3 - 194*t**2 + 407*t + 1884986.\nAnswer: -6*t**2 - 388*t + 407","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-22)\/99 - (98\/12)\/1 and 9\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10914*g + 10188*g - 31308*g + 10194*g.\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2. Let p(y) = -4*y - 14553. Determine p(j(w)).\nAnswer: -4*w**2 - 14553","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a tonne in kilograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.13 + 27.13. Let m = v - 25. What is the closest to m in -0.5, 2\/17, -1\/10?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175.4016 nanograms in milligrams?\nAnswer: 0.0001754016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-240)\/288*8\/5*(-84)\/(-7)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -45587581 - -90437581. Round i to the nearest one million.\nAnswer: 45000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10064 divided by 17\nAnswer: -592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.6 + -6. Suppose -10*p = -3*v - 7*p, -2*p = 2*v - 8. Suppose -z = -y + v*y - 1, y + 3*z + 1 = 0. What is the second biggest value in -3, y, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -27 in -0.4, 9, -1\/10, 2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1111 (base 2) to base 14\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/(-3) - 2) + ((-291110)\/(-30) - -4) a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240813301 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 10:53 AM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - (-1)\/(-1)) + 4. Suppose -z = -2*o + o. Solve 4*c + 12 = 0, -4*p - o*c - 1 = -7*c for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-2) + (-2)\/(-4) - -1. Suppose 3*q = -m*w + 462, -w + 214 + 256 = 3*q. Is 16 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-48)\/2*(-1)\/4. Let u(f) be the first derivative of 0*f**5 - 1\/3*f**3 + 1 + 0*f**2 + 0*f**4 + 5\/6*f**m + 0*f. Find the third derivative of u(c) wrt c.\nAnswer: 300*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -66*w + 527 + 1. Solve 18*y - w*y = -40 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/5612 and -7\/15844079.\nAnswer: 63376316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 35.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17157, 16762, 16367?\nAnswer: 15972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 123198948 to the power of 1\/2, to the nearest integer?\nAnswer: 11100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 + -30. Let p = -4 - v. What is the nearest to -3 in 0.3, p, -2\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.75 - -7. Let r = i + 1. Let n = 0.24974 - r. What is n rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-158)\/(-6) - (-1)\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**3 + 0*i**3 - 3*i**3)*(3 + 16 + 1).\nAnswer: -40*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -9*m**2 + 3*m + 3. Let t be p(-1). Let g be (t\/1)\/3 + 3. Suppose g*l - 4*l + 220 = 0. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 3*b + 96. Suppose b = n + 2. What is the greatest common factor of n and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 1:21 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5920 + 8468. Calculate the least common multiple of 117 and m.\nAnswer: 22932","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.1255 and -1425?\nAnswer: 1603.8375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -0.4. Let q = r + 9.55. Let l = 1.85 - q. Which is smaller: l or 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -2\nAnswer: -0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 158976865 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(-3 + 3 - -2). Let x = 5 - 3. Differentiate a*j + 0 - x + j wrt j.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/3 and 3\/12 + 44\/(-14).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121023545 (base 6) in base 3?\nAnswer: -11022022201202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4859\/2 - 2429. Let v(a) be the first derivative of -x*a**3 + 3\/2*a**2 + 1 - 3\/2*a. Factor v(c).\nAnswer: -3*(c - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of -h**7\/280 - h**6\/60 - h**5\/40 + 7*h**3\/6 + 8*h**2. Let w(b) be the first derivative of l(b). Factor w(r).\nAnswer: -3*r*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19\/(-228)*(-10)\/((-50)\/(-15))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*b**3 + 2*b - 3 - 27*b**3 + 4 + b - 2*b**3 - b + (b**2 + b**2 + b**2)*(-b + 3*b + 0*b) - 2*b**3 - b**3 + b**3.\nAnswer: -b**3 + 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*((-3)\/(-3))\/((-2)\/6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25068587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**4\/3 + 38*j**3\/9 + 4*j**2\/9 - 88*j\/9 - 16\/3 = 0. Calculate j.\nAnswer: -1, -2\/3, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24681*p**4 - 2*p**2 + 2*p - 2517.\nAnswer: -592344*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 92294491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 656 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - x + 5*b = -50, -4*b = 20. Suppose 0 = x*c - 10, 3*y = 7*y + 4*c - 20. Suppose 6*p = y*p. What is the nearest to 1\/3 in -0.4, p, -0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-27)\/5 + 4\/10. Let o(s) = -s**2 + s + 2. Let k be o(0). Let z(j) = 11*j + 2 - 2*j + j**k - 3*j. Calculate z(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/v**(10\/3)*v\/(v**(-15)*v)*v*v**(-5\/9)\/v*v*v*v**(-1\/4) assuming v is positive.\nAnswer: v**(499\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2\/7 of a week?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 51, -7, -11, 13 in descending order.\nAnswer: 51, 13, 5, -7, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.350307 rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 109416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -428997 or -3002987\/7?\nAnswer: -428997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 94404 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5031 and 3672071.\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1962 - 59*s + 1962)*(-4*s**3 + s**3 - 8*s**3) to n*s**2 + a*s + i*s**3 + x + k*s**4 and give k.\nAnswer: 649","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -131841*-0.3\nAnswer: 39552.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33441 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, 5\/12, -16, 2\/5, -5 in increasing order.\nAnswer: -16, -5, -2\/13, 2\/5, 5\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8081\/372 - 490\/31. Which is smaller: 6 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1244569 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15504 by 51.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/2)\/h)\/(h\/(h\/h**(-5\/4)))*h**(-2\/33)\/(h**1\/h) assuming h is positive.\nAnswer: h**(91\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2\/85, 0 in decreasing order.\nAnswer: 0, -2\/85, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 488*z - 857*z + 12915 for z.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 809 - 312 + 2024*r**2 - 494 to the form u + f*r + p*r**2 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 59*c**2 - 172*c + 13. Is d(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + 10*w - 114. Let y be u(-17). Put -1, 3, y in decreasing order.\nAnswer: y, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 17 + 143 = 0. Suppose -l*y + 127*y = 28. Solve -3*o + 16 = k, 2*k - o = -6*o + y for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 + 16 + -27)\/(1\/(-13))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 12:33 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/22)\/(129\/(-999)). Let t = 1\/43 + p. Find the common denominator of t and 6\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 122*d + 230*d - 297, w - 276 = -d - 4*w for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (34 + 2000\/(-60))\/(1 - (-38)\/(-42)). Solve -c*f - 48 = f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14118 and 200187.\nAnswer: 72467694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l - 25 = 17. Let t(w) = 69*w**2 + 4*w - 23. Is t(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 8*i**2 - 14*i - 14. Suppose 20 = -7*x + 48. Let k(q) be the second derivative of -q + 5\/2*q**2 - 1\/4*q**4 + 0 + 5\/6*q**3. Give x*w(d) + 11*k(d).\nAnswer: -d**2 - d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 8 + 12 = 0. Let l be c + 1\/((-3)\/6). Solve -5*t - 2 = l for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -285, -1216, -2147, -3078?\nAnswer: -4009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 298*n - 298*n + 10828362*n**2.\nAnswer: 10828362*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (126\/(-1680))\/((-9)\/12)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 122445 - -3?\nAnswer: 122448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q + 12 - 3*q + 4*q. What is the tens digit of r(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44731 and 2?\nAnswer: 89462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64296481 is divided by 155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -18764290 rounded to the nearest 10000?\nAnswer: -18760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63 + -50 + -2 + 16?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*s - 663 + 153 = 0 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -1434*g**2 + 12*g + 2860*g**2 - 1427*g**2 + 7. Let s = 14 - 2. Calculate z(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0054617 to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(405)*-2)\/sqrt(9))\/(2*sqrt(225) + sqrt(225)).\nAnswer: 4*sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 43559810 to the nearest one hundred thousand.\nAnswer: 43600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 32476982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**5 + 0*p**5 - p**5 + (0*p**2 + 0*p**2 + 4*p**4)*(3*p + 6*p + 14*p) - 2*p**4 + 2*p**4 - p**5.\nAnswer: 87*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g - 38 = 2. What is the fourth smallest value in g, 0, -1\/2, 0.21?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (33\/(-44))\/(1\/(-4)). Let q be 2\/s + 22\/(-33). Is 0 at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 - 2 + 6)*(-20 - 5 + 6) + (-3 + 6 - 2)*(-3 + 4 + 1))*(-9*y**4 - 13*y + 13*y) to the form g*y**4 + b*y + i + k*y**3 + n*y**2 and give g.\nAnswer: 324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 31 + 91. Let z = 34\/3 - v. What is the third smallest value in z, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 477010, 954078, 1431150, 1908226, 2385306, 2862390?\nAnswer: 3339478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10 - 132\/18 - (-8)\/6. Let j = -25 + 22. Sort -5, j, r, 3.\nAnswer: -5, j, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -308.\nAnswer: -61.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218368 is divided by 87.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 7. Is 61 + 1 - (-5 + b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2673))\/sqrt(11).\nAnswer: -18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*i + 2 + 2 - 3 - 16*i**2.\nAnswer: -16*i**2 + 14*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 4:02 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 661?\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of 17*j**8\/168 + 216*j**7\/35 - 1981*j**6\/60 + 192*j**5\/5 + 41*j**4\/3 + 1699*j**2 + 2. Determine o so that w(o) = 0.\nAnswer: -41, -2\/17, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(2736) + (sqrt(2736) + 0 - sqrt(2736) - sqrt(2736)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11838905?\nAnswer: 5, 13, 23, 7919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20.80000162 + -20.8. What is p rounded to 7 decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -143867, -143888, -143927, -143984, -144059, -144152?\nAnswer: -144263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -3*p + 16, -3 = -3*p + 2*p. Let v = -7 + 14. Calculate the highest common factor of v and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(136)\/(sqrt(24)\/(sqrt(15)\/sqrt(5))) + -2 + sqrt(833) + sqrt(833) + 3.\nAnswer: 2 + 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((-2)\/1)\/8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -69*p + 66*p. Let s(r) = -r**3 - 4*r**2 + 6*r + 6. Let k be s(p). Sort 4, k, -5 in decreasing order.\nAnswer: 4, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -231*z + 46068643 + 30787598. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w*w**(1\/26))\/w**37)\/(w*w**(-11))**(1\/35))**(-49) assuming w is positive.\nAnswer: w**(44177\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 318 is divided by 64.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/3096 and -63\/5504.\nAnswer: 49536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 48\/5 and 87\/160?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 25442683265602 - 3.5?\nAnswer: 25442683265598.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 925, 1970, 3011, 4048, 5081, 6110?\n\"Answer: -2*d**2 + 1051*d - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 443855 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 51c (base 13) to base 9\nAnswer: 1166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -741*n**6\/10 + 79*n**3\/2 - 5*n**2\/2 + 3936*n. Find the second derivative of w(p) wrt p.\nAnswer: -26676*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 - -24. Let p(i) = 5*i + 27. Let v be p(-5). Suppose -4 = v*t, 3 = -5*z - t + 11. Solve 2*s - z*f = w, -3*s + 4*f - 3*f = -5 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r + 14*r + 15 = 0. Solve 0 = 3*j + 3*s - 3, -s + r = j + 2*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33 by -194486.\nAnswer: 33\/194486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100110 (base 2) to base 4.\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -39892 - b**2 + 59*b + 39892.\nAnswer: -b*(b - 59)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*k**6 + 26*k**4 - 2347*k**2 wrt k?\nAnswer: 2280*k**3 + 624*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d**2 - 2*d**4 + 0*d**2 + (d - d - d**3)*(9*d - 11*d + 4*d) as v + f*d + y*d**2 + i*d**3 + s*d**4 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 75418*s + 0 - 2 - 75426*s + 2*s**2. Calculate w(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/21)*s**(6\/19))\/(s**(20\/7)*s\/s**(-1\/12)) assuming s is positive.\nAnswer: s**(-5861\/1596)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/4*-2)\/(2 + -1). Suppose s = 7*y - 11*y + 1552, 5*s = -r*y + 1181. Round y to the nearest 10.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -12*g**2 - 4*g + 4. Let h be k(3). Suppose -2*y + p - 136 = 0, 4*y - 4*p + 142 = -138. Let b = y - h. Is b a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 17\/3 (b) -2.8 (c) 7 (d) 1\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1888447404?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/4*(-9 + 9))\/(-1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12948416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -8e17?\nAnswer: -8e1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 336 (b) -2\/19 (c) -4\/9 (d) -1\/2 (e) -7 (f) 10 (g) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**2 + 1 + 1 - 3*c - 60*c**3 + 47*c**3 + 2 - 3 as x*c + w + n*c**2 + f*c**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1347767012 a multiple of 251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (7\/((-315)\/6))\/((-5)\/(((-4500)\/(-195))\/(-12)))\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 161\/49 - (-4)\/(-14). Suppose -3*f - 11 = -2*y, -8*y = -4*y - v*f - 19. Solve -n + 0*g - 2 = -g, 2*n + y*g = -10 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -336402, -336313, -336066, -335583, -334786, -333597, -331938, -329731?\nAnswer: -326898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(704)*3*1 + 5.\nAnswer: -96*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 10*k**2 - 16*k + 32. Let d be o(12). Let f = -641\/5 + d. Let r be ((-15)\/(-12))\/(1*-1). Which is the closest to -1? (a) 0.1 (b) f (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*p + 325*p**3 + 56*p.\nAnswer: 325*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2*c = -7*c + 81, -3*w = -3*c - 57. Suppose 0 = 3*s - 7 + w. Sort 4, -6, 2, s in increasing order.\nAnswer: -6, s, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 13*w**2 - 22*w + 4. Let q be l(-11). Suppose -4*j = q*j - 288. Let b = 44 - 25. What is the remainder when j is divided by b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 4 + 10 = 0. Solve 8*y = k*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3 + 0*w - 5\/4*w**2 + 0.\nAnswer: -w**2*(4*w + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1574 or -0.0039?\nAnswer: 1574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + (-120)\/126)\/1*3. Let y = 0.27 - 0.14. Let g = y + -0.03. Which is the third biggest value? (a) j (b) g (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/25*(-30)\/(-16)*(-684)\/1026.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88 and 4774.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 4)*(-3*n**2 + 3*n**2 - 2*n**2)*((-2 + 2 - 2*n)*(-3 + 3 + n) - 4*n**2 + 2*n**2 - 3*n**2).\nAnswer: -14*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26.421 - -25.08. Let w = 0.341 + q. What is the nearest to -2\/3 in 0.1, -2\/11, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -112709*b**6 + 85*b**5 - b**3 - 253474197*b**2 wrt b?\nAnswer: -13525080*b**3 + 5100*b**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 24*d - 11. Let m be h(-11). Let l = 398 + m. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 202 + -197. Suppose 5*l = 4*x + 131, n*x - 3 = 2*l - 3*l. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -2*o - 6, -1 = 3*q + 4*o - 11. Solve 1186 - 1172 = -q*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 5*t**2 + 24145*t - 24150 = 0.\nAnswer: -4830, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18883 - 19352 = 67*h for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a + 6. Let n(r) = -3*r - 7. What is -4*k(m) - 3*n(m)?\nAnswer: -3*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1.52363 + 513726\nAnswer: 513727.52363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2671*v + 2676*v + 10*y + 75, y = -7*v - 40 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 848*c**2 - 9*c - 2*c + 11*c + 13*c**2 in the form j + h*c**2 + v*c and give h.\nAnswer: 861","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -4 - 4. Suppose 0 = -r*u - 5*f + 506, 3*f - 4*f = -2*u + 530. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zff when three letters picked without replacement from {m: 1, b: 4, f: 3, c: 5, z: 5}?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 956220552 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 7. Calculate the greatest common factor of 32 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h + 4*t + 4, -7*h + 5*t = -9*h - 12 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1322956?\nAnswer: 2, 31, 47, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 104976 and 105888?\nAnswer: 231577056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/4 + 4714287*k\/4 - 2357143\/2.\nAnswer: -(k - 4714286)*(k - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1431759051.\nAnswer: 3, 181, 292973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 506 + -502. What is the second biggest value in -1, -2\/5, c, 0.577, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of -49*d**5\/10 + 41*d**2\/2 - 99*d. What is the derivative of s(n) wrt n?\nAnswer: -294*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17871.894 hours in days?\nAnswer: 744.66225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45115 by 7.\nAnswer: 6445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 67?\nAnswer: 1005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -373404056.5 - -1.49\nAnswer: -373404055.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, n: 10, c: 3}. Give prob of sequence ic.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -16 + 24 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n. Let p(x) = -x**2 - 15*x - 13. Let r(v) = 3*f(v) - p(v). Let b be r(-11). Is 4 less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 - 3*l - 5. Let o be i(-2). Solve 0 = 4*b - o*b + 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1955 and 12927633?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 808308 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(33) + sqrt(297) + sqrt(297) + sqrt(297)*-1 - (sqrt(2673)*2 + sqrt(2673)))\/(sqrt(11) - sqrt(99)\/sqrt(144) - 2*sqrt(11)*1) + -4.\nAnswer: -4 + 552*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-44)\/(-8))\/((-6)\/(-84)). Calculate the greatest common divisor of t and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -1d?\nAnswer: -1f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - 6\/(-4))*2. Suppose -4*q - 20 = 0, 7*q - 2*q = -s + 24. Suppose 0 = 3*i + m - 5*m - s, 5*i + 3*m = 72. Sort i, d, 0 in descending order.\nAnswer: i, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3428, -0.2, 0.3, 2\/17, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4511.225cm to nanometers.\nAnswer: 45112250000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -795564 by -33.\nAnswer: 24108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.55 - -2.98. Let x = m + -0.83. Which is smaller: 5 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 271*n**3*t - 2*n**3 + 169 wrt t.\nAnswer: 271*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20286 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aea when three letters picked without replacement from {q: 3, e: 1, a: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 19*k - 1. Suppose 2*s - 198 = 3*u, -2*u + 380 = s + 3*s. Let a = s + -45. Calculate the remainder when a is divided by o(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h + 12*h + 11*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -4*j**3 + 5*j**2 - 4*j. Let v be 42\/18 - 2\/6. Let y be c(v). Let g = 55 + y. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8823 + -88301\/10. Suppose -d - 3 = -7. Suppose 5*y + 4*s = -12, y - d*s - 10 = 2. Calculate the common denominator of y and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -119*c**2. Let r(o) = -15*o**2. What is -49*r(j) + 6*z(j)?\nAnswer: 21*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/8 + 123*l\/8 + 31\/2.\nAnswer: -(l - 124)*(l + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-2)\/(-4)*18\/(-261)\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-5))\/((-300)\/(-2250))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12 - 37?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 3*t = -6. Let v be -2*(18\/4)\/(-3). Sort -3, v, t.\nAnswer: -3, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 67, -29.\nAnswer: -29, 1, 2, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 290129?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*(-10)\/(-140) - (-38)\/(-77).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -11 + (-2 + -1)*-3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c + 1. Let o be 1 + (3 - 1)*1. Let j(t) = -t - o*t + 6*t. Let d(p) = -3*j(p) + 2*x(p). Differentiate d(k) wrt k.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lay when three letters picked without replacement from {c: 3, y: 4, l: 1, e: 3, d: 1, a: 5}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -45*i + 309. Let k = 6356 + -6349. Give d(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5\/38, -10, 0.2?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a centimeter in micrometers?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28807 is divided by 144?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 23176 and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 27\/4 of a millennium?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16610*l**4 + 3073*l**2 - 2627996*l - 32 wrt l?\nAnswer: 199320*l**2 + 6146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 2*q + 4*p, 0*q + 5*p = q - 36. Solve -4*z + 5*a = q, 3*z + 5*a + 6 = -1 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (5 - (4 + -10 + 11))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o - 1. Let t(s) = 5*s - 2. Let w(b) = -t(b) - 3*z(b). Suppose 128 = 104*n - 136*n. What is w(n)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7.41, 1, -2050?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 26*n**3 - 3*n**2. Let j(x) = -989*x**3 + 115*x**2. What is 3*j(y) + 115*m(y)?\nAnswer: 23*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 10 = o. What is the highest common divisor of o and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/6, -6\/13, 17?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 1239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + -3. Let l be o\/8 + (-70)\/(-4). Let z = 41 - l. What is the greatest common divisor of z and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 803161161.\nAnswer: 3, 11, 211, 38449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 7*n**2 - 1 + n**2 + 2 + 7*n**2 - 32*n to the form x*n + g + r*n**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -186b + 0?\nAnswer: -186b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2194*r - 1209*r - 1397*r)*(0 + 2 + 0) - 2*r - 3*r + 2*r.\nAnswer: -827*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1034770 less than 0.03?\nAnswer: -1034769.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13014854 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8614, 7240, 5866, 4492, 3118?\n\"Answer: -1374*x + 9988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -48428, -84467, -120506, -156545, -192584, -228623?\nAnswer: -264662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.02 + 2.02. Let o = -119 + 119.22. Let j = 0.08 + o. What is the fourth biggest value in -2, u, -0.1, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8042212, 16084424, 24126636?\nAnswer: 32168848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0946 - 236.4054. Let g = k + 237. Let b be (-1)\/(1\/10*-2). What is the fourth smallest value in b, 4, -0.2, g?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -569 divided by -1962?\nAnswer: 569\/1962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**(-6)\/r)\/r*r)\/r)**4\/((r*r**18)\/r*r*r**(-3\/13)))**(-11) assuming r is positive.\nAnswer: r**(7260\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zxzzxzxpzzxzzzxzx. What is prob of picking 4 x?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18710357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -103 + 104. What is the tens digit of 5095\/10 - z - (-9)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 1)\/(-1)*-8. Let y(d) = -2*d**3 - d**2 - 5*d - 3. Let g(j) = -6*j**3 - 4*j**2 - 14*j - 8. Let u(a) = w*y(a) - 3*g(a). Factor u(h).\nAnswer: 2*h*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 5*x - 23 = 0, -v = -2*x + 5 - 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z. Let s(d) = -2*d**2 - 2*d - 2. Suppose -2*u - 3*u - 10 = 0. Let w(o) = 8*o**2 + 9*o + 9. Let i(l) = u*w(l) - 9*s(l). Calculate i(m(t)).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d - 34 + 4*d - 4*d + 2*d + (-8*d + 8*d + 31*d)*(2 - 5 - 3) + d + 4 - 4.\nAnswer: -186*d - 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 63 (c) 4\/7 (d) 4 (e) 0.1 (f) -30\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (28 + 1 - (-346 + 323)) + 21?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-6)*(180\/(-168))\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*o + 9*o**5 - 3*o + 5*o - 2*o wrt o.\nAnswer: 180*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -1.6, -5\/2, 4 in descending order.\nAnswer: 4, 2\/5, -1.6, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/12)\/(-1) - 77\/(-21).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12386580 (base 10) to base 13.\nAnswer: 2748c4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of 0 + 5*i - 529\/24*i**3 - 1\/240*i**5 + 14*i**2 + 23\/48*i**4. Factor r(g).\nAnswer: -(g - 23)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -2*c + 6*r + 14, -18 = -2*c + 2*r. Suppose 0 = -c*x - 0*x. Let o be (1 - x)\/((-3)\/(-9)). Solve -4*y - 5*s = -42 - o, 0 = -y + s for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -27 - 4620?\nAnswer: -4647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*q + v - 0, 0 = -5*q - 4*v - 16. Let i(h) = h + 100. List the prime factors of i(q).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*m = -448 + 532. Which is the third biggest value? (a) 2 (b) -0.1659 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -54 + 3. Let t = 55 + l. What is the derivative of -24*s**4 - 19 + 6*s**t + 2 wrt s?\nAnswer: -72*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 516 = 518. Which is bigger: x or -11\/20?\nAnswer: -11\/20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2236954 is divided by 3803?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 20 = 4*d - 0, -2*d = w + 7. Is -3 - (w - -2) - -253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 + 16*h - 17. Suppose -16 = -7*l + 152. Calculate the remainder when r(10) is divided by l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = v + 2*m, -3*v - 6*m = -5*m - 50. What is the second derivative of 51*k + 24*k**5 + v*k**5 - 65*k wrt k?\nAnswer: 780*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -3*v - 2*v + 4*v. Let o(u) = 3*u**2 + 10*u - 15. Let x(q) = 4*q**2 + 15*q - 22. Let m(p) = 7*o(p) - 5*x(p). Let b be m(4). Calculate l(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4*g**3 - 3*g**2 + 3*g. Let f(u) = 3*u**3 - 2*u**2 + 2*u. Let r be (-18)\/8 - (-18)\/(-24). Calculate r*f(h) + 2*v(h).\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 49 + -43. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(72)*3 + -4 + (sqrt(72) - ((2 + sqrt(72))*6 + sqrt(72))**2))*-6 + -4.\nAnswer: -44116 - 11808*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-130)\/1105 + (82\/119 - 1). Which is the closest to 0? (a) -25 (b) -0.3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000020132 rounded to six dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7222255 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -7 - 14971\/(-517) - 22\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 12*g**2 + 17*g + 5. Suppose -2*v - 3*v + 2*w = -52, 5*v + 2*w = 68. Is b(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0331 + 330.0331. Let a = -329.9999861 + j. Round a to six dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4676013?\nAnswer: 3, 127, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 235 + -235. Let s be 3\/20*(-15)\/6. Which is the closest to q? (a) -18 (b) s (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20 - -0.0267.\nAnswer: -19.9733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g**5\/3 + 1397834*g**4\/3 + 2795659*g**3 + 12580456*g**2\/3 + 5591312*g\/3 = 0. What is g?\nAnswer: -1397828, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -21. Let v be 6\/r + 12\/9. Suppose -2*w = 5*t - v, 7*w = 2*w - 4*t + 5. Let x(z) = -4*z**3 + 2*z**2 - 1. What is x(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11.015 - 2.\nAnswer: 9.015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2220)\/(-41070)*2960\/4?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-62)\/(4836\/117))\/((-1)\/10)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 8:31 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*h - 50. Let w be 1*28\/(-14)*h\/(-2). Suppose w*u + u = 220. List the prime factors of u.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17045936*u**3 - 21592188*u?\nAnswer: 102275616*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - 19833958?\nAnswer: -19833957.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f + 45. Let z be l(-29). What is the greatest common factor of 23 and z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a millennium in months?\nAnswer: 57000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -0*g + 3*g. Is g a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) + (sqrt(1053) - (-2 + sqrt(1053))))**2*-6.\nAnswer: -6342 - 216*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of i**6\/40 + 11*i**5\/60 + 11*i**2. What is the third derivative of x(k) wrt k?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) + (sqrt(1539) + sqrt(1539)*-1)**2 + (-2*sqrt(76))**2 - ((sqrt(1900)*2)**2 + 4*(sqrt(19) - (sqrt(19) + sqrt(19) + 1 + sqrt(19))))) + -4.\nAnswer: -7296 + 17*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 78422431*b + 63493288.\nAnswer: 78422431","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**2 - 386*l. Let q(z) = -2*z. What is t(q(j))?\nAnswer: -8*j**2 + 772*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1536 is divided by 241?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4*c + 270. Let z be c\/(-45)*(-10)\/(-3). Let h be 9 - (-10 + (-176)\/(-11)). Solve z*t + 7 = m, -h*m - 14 - 4 = t for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f + 0*f - 4*f)*(1 - 1 - 1) + 4*f - f - f + 46 + 267*f - 36 - 11.\nAnswer: 270*f - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 4*o**2 + o + 3. Let s be 129\/(-86) - (-2)\/(-4). Let g(b) be the second derivative of -b**4\/4 - b**2 - 4*b. What is s*i(p) - 3*g(p)?\nAnswer: p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4 = 2*m. Let v be 30\/8 + 3\/m. Find the second derivative of -z**3 + 5*z**v + 3*z - 2*z**3 wrt z.\nAnswer: 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -2238281.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 5*q + 30. Calculate the remainder when 46 is divided by p(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -i**2*w - 20*i**2 + 2*i*w - 395*i - 14549*w wrt w?\nAnswer: -i**2 + 2*i - 14549","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5\/6)\/d*d**(3\/2)*d)**17\/((d*d*d\/(d**7*d)*d*d**(3\/4)*d)\/((d**(2\/3)*d*d)\/d**0)) assuming d is positive.\nAnswer: d**(65\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o - 716 - 574 = 0. Let c = o + 95. Suppose 0 = -c*n + 11*n + 2*s - 3038, 8 = -2*s. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 3*w + 18 = -5*w, -3*c = -5*w - 27. Let l = -26 - -29. Is 15 a factor of (c\/1 - l)*84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 - 21 = 5*n. Let p = n - 11. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -199.0431 + 199. Let s = -0.1569 + z. What is the biggest value in 15, s, 2?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 4:24 PM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322 is divided by (-3 - -9)*(-6)\/(-1).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-295)\/40 - (-9)\/24. Let x(p) = p**3 + 8*p**2 + 6*p - 3. Let i be x(r). Suppose -3*q + i*q = 0. Solve -27 = 2*l + 5*m, 4*l + q*m + 2*m + 14 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 6 = s + 4*u, -2*u = -2*s + 10. Which is smaller: 3\/605 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11559?\nAnswer: 3, 3853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 508?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 78659.46 millilitres in litres?\nAnswer: 78.65946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/3 + 0)*0. Let t(r) = r**2 - 4*r + 4. Let l be t(3). Let m be 2\/12*(-4)\/l. Is m greater than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 252.1191cm to micrometers.\nAnswer: 2521191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 218*t**5 + 2*t**4 + 273612*t**2 - 273612*t**2 + (-4*t**3 + 2*t**3 + 3*t**3)*(-3 - 2*t**2 + 3).\nAnswer: 216*t**5 + 2*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n + 5, 2*t - 353 + 349 = -0*t + 3*t - 0*t + 6*n for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22\/313 + 1186\/939. Let r be 8\/14 - 224\/49. Which is the second smallest value? (a) 0.1 (b) -2\/3 (c) r (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17\/49 - -1299\/637. Let g = r + -5\/26. Which is the nearest to -2\/9? (a) 2 (b) -1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 - 45 = -3*k, 3*k - 72 = -2*x + 5*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -527 - -528. Is 267 not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(-7) - (-12)\/(-56)*-100. Calculate the greatest common factor of 63 and h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -57 - -18. Let t = p - -41. Solve 3 + t = -h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -1.05. Let x = 0.05 - q. Let g(j) = 13*j + 70. Let u be g(-5). Which is the third biggest value? (a) x (b) 4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(1\/5)*y\/(y*(y*y*y**(-9)*y)\/y)*(y**(1\/4))**(46\/5))\/(((y\/((y*((y*y*y*y**(-7\/4))\/y)\/y*y)\/y))\/y*y)\/y*y**(-2\/21))**23 assuming y is positive.\nAnswer: y**(7577\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/665 and (-25275)\/24500 - (1 + 14\/(-8))?\nAnswer: 4655","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**3 + 81*u**2 + 540*u + 972 = 0. Calculate u.\nAnswer: -18, -6, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + u + 0*u)*(-3*u**3 + 2*u**3 - u**3) + (-u - 3*u + 5*u)*(4*u**3 + u**3 - 2*u**3).\nAnswer: -u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (80*w - 80*w - 3*w**2)*(4*w - w - 4*w)*(5*w**2 + w**2 - 4*w**2) + 2*w**5 + w**5 - 5*w**5.\nAnswer: 4*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 5*d + t + 8, 2*d + 3*t + 16 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -462127, -1845885, -4152149, -7380919, -11532195, -16605977, -22602265?\n\"Answer: -461253*u**2 + u - 875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 53 divided by 4\nAnswer: 53\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 PM and 6:23 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 7, -1, -10, 0, 58, 3.\nAnswer: -10, -1, 0, 3, 4, 7, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/4 + (-273)\/(-12). Suppose 3*s + 2*x - x = 17, n = 4*s + x. Let q = -21 - -37. What is the remainder when q is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**2 - 9*x + 47 - 24 - 7*x. What are the prime factors of r(9)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(18\/16)*(-6619 + 6628).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 306 and 2799016.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 19 = -4*p, 5 = -5*p - 0*p. Suppose 3*a = 4*i - 828, -18*a = 3*i - 19*a - 626. Calculate the highest common factor of d and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2961 and 49272489.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1401498043.\nAnswer: 11, 2861, 44533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - -2. Suppose 5*z = -2*f - 6, -4*z + 4*f = -2*z - 12. Suppose d - n*d + 140 = z. Calculate the highest common factor of d and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.5 (b) 0.2 (c) -1 (d) -3.1 (e) -2\/29 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-116)\/(-6) + -1)\/((-640)\/(-96000)). What is the greatest common divisor of 330 and o?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mi when two letters picked without replacement from {i: 6, m: 2}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 9298924.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 318 - 328. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -44444221020 - 4?\nAnswer: -44444221024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 176295.5 + -176295. Let g = -3.1 - -3. What is the fourth smallest value in g, 2, z, -2\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -4*q**3 + q**2 - q + 1. Suppose -325*d = -415*d - 180. Calculate g(d).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 9708, 2\/5, 0.36, 2\/15, 0.3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 124569456 divided by -20761576?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 9*u**2 - 8*u**2 + 3)*(-17*u - 9 + 26*u - 1) to the form d + b*u**2 + z*u**3 + y*u and give y.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.64452 millennia in years?\nAnswer: 75644.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 + (-15)\/(-9) - (-2)\/6. Let p be 12\/x + 11\/(-2). Is 7 <= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 10000212010220212?\nAnswer: 10000212010220201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4443 is divided by 9*635\/(-45)*-1?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 4*x - 2. Let d be j(2). Suppose 0 = 2*r + 3*z - 43, -2*r + d*z = 2*z - 36. Suppose 22 = 27*c - 86. Calculate the greatest common factor of r and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1300 and 175630.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 635873313 divided by 211957771?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**3 + s - 10. Calculate the remainder when 91 is divided by l(3).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(((230\/23)\/40)\/((-24)\/3))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(-26) + 5687192\/386412?\nAnswer: 40\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of -1\/15*n**6 + 0*n**4 + 0 + 0*n**3 - n**2 - 3*n + 0*n**5. Differentiate k(a) wrt a.\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 - ((-1975 - -1969) + (50 - 0) + 1)\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 0 = 80. Solve -2*r + 7*r = z for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 414239027?\nAnswer: 6599, 62773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33)*1 - sqrt(33))*3 - sqrt(33))\/((sqrt(27) - (sqrt(27) + sqrt(27)*2) - sqrt(3)) + sqrt(3)).\nAnswer: sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 307?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - -3)*6\/(-15). Let v(q) = q - 1. Suppose -6 = -t + 3*t. Let r(m) = m + 4. Let d(n) = t*v(n) - r(n). Give d(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 394 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2769 = -2601. Suppose -1754 = -3*v - 6*h + 2*h, -3*v + 5*h = -t. Suppose -122 = -4*y + v. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5461 + 22*s + 229*s + 5461)*(2*s + 0*s - 4*s) as j + q*s + t*s**2 and give t.\nAnswer: -502","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-946221)\/(-126) + (0 - -1). Let r(z) = -116*z**3 - 7*z**2 - 4*z + 44. Let h be r(4). Let f = h + q. What is the common denominator of -35\/2 and f?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -286*j**2. Let y(l) = 28532*l. Give z(y(k)).\nAnswer: -232825456864*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 636*s + 612*s - 1488 = 1217*s for s.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.3622205nm?\nAnswer: 0.0003622205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of -f**7\/70 - 3*f**6\/40 + 17*f**5\/20 + 39*f**4\/8 + 10*f**3 + 17*f**2 - 133. Factor l(h).\nAnswer: -3*(h - 4)*(h + 1)**2*(h + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 683 at most as big as 681?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1131 - 864 = 114*h - 285 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 293 + 9496 = 3*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -548 by -6.\nAnswer: 274\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34328 or 34326?\nAnswer: 34326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - 19. What is the smallest value in 3, m, 5\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -p**3*z - 255*p**3 - 673*p*z wrt z?\nAnswer: -p**3 - 673*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-5))\/((-2)\/(-5)). Suppose 5*o - 18 - 82 = 0. Suppose w*n = 3*y + 47 - o, -21 = -n + 4*y. Calculate the remainder when 11 is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r + 116. Is p(38) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(5040)*3 + sqrt(5040))*-3)\/(-1*sqrt(720) - sqrt(720) - sqrt(5)*-2*-6).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 5*t + 7. Let j(i) = 21*i + 29. Let n(f) = -26*a(f) + 6*j(f). Let c be n(-5). Suppose 11*k + 3 = c*k. Solve -3*q + 3 = -3*r, k*q + 0*r - 11 = r for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1620467 is divided by 3804.\nAnswer: 3767","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g**2 - 23*g**2 + 17*g**2.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*a**2 + 80*a - 158*a - 3 + 76*a.\nAnswer: -99*a**2 - 2*a - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 14*m**2 - 14*m - 8. Let c(x) = -5*x**2 + 5*x + 3. Let z(q) = q**2 + 18*q - 133. Let r be z(6). Give r*c(d) + 4*t(d).\nAnswer: d**2 - d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6 (b) -2\/877 (c) -22.18 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 16) to base 7.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/4*-6)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 64617250 a multiple of 513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 30*f**2 - 69*f - 927. Calculate d(26).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 3:28 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 121.68 + -121.88. Which is the nearest to -382? (a) q (b) 2\/5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002253844 rounded to seven dps?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.36 times 1053?\nAnswer: 379.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174 = -z + 2*u, 2*u + 8 = -0*u. Let x = z - 15. Suppose -2*k - 191 = -5*g + 2*k, 0 = 4*g - 5*k - x. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of 0*k**7 + 0*k + 2\/15*k**5 + 0*k**6 + 1\/6*k**3 + 81*k**2 + 0 + 0*k**4 + 5\/48*k**8. Find the third derivative of s(d) wrt d.\nAnswer: 2100*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1549366801 minus 1.3?\nAnswer: 1549366799.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*n - 3*n + 5*n - 2.\nAnswer: -22*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (807\/165 + 24 + -29)\/(7 - (-1144)\/(-160))?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5342694*u**4 - 4632*u**2 - 1876*u + 1 wrt u.\nAnswer: 128224656*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -243*z - 2180. What is q(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 153b7 - 5?\nAnswer: 153b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 6*d**2 + 26*d - 12. Let y be u(39). Suppose -4*p - 4*h = -15992, -y - 9861 = -5*p - 4*h. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 5*w**2 + 2*w - 1. Calculate the remainder when 32 is divided by x(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*-1*(2 - -5). Let k be 4\/(-8) + f\/4. Suppose k*p = 5*p. Which is smaller: p or -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 272202869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -9*a + 3*o + 29, 0 = -676*a + 679*a + 5*o + 37 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, j: 2, l: 2}. What is prob of sequence ljj?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 - 2*t**3 + (2 - 2 - t)*(2*t**2 - 3*t**2 - t**2) + 0*t**3 + 2*t**3 - t**3 + (7 - 7 + 10*t**2)*(-2 + t + 2).\nAnswer: 11*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 11:45 AM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 4*l + 4. Let b(k) = -k**3 - 2*k**2 + 2*k - 2. Suppose 0 = 2*s + 11 - 3. Let j = 1 + s. Let y be b(j). Let x(g) = g + 1. Determine y*a(f) - 5*x(f).\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 43 = -3*j + y, 2 = 2*y. Let v be 58\/42 - (-4)\/j. Let t be 2\/2 - 0\/(-9). Which is greater: t or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**4 + 1221*o**3 + 4803*o**2 - 13281*o + 7254 = 0.\nAnswer: -403, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 2*l + 2*l + 59, -3*l - 58 = -5*p. Let n(f) = f**2 - 4*f + 6. What is the units digit of n(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4841401 + 0?\nAnswer: 4841401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**2 + 5*n**2 + 6*n**2 + (0*n + 2*n + 0*n)*(-n + n + 2*n) + 2*n + 3*n**2 - 2*n to c*n + h*n**2 + a and give h.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(560)\/sqrt(7) + (sqrt(5) - (2 + sqrt(45)\/sqrt(9))))**2.\nAnswer: -16*sqrt(5) + 89","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 38 = -4*p, -2*p - 5 = -p + z. Let u be 1*(3\/3 - p). What is the units digit of 2\/u - (-16)\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.02 (b) 493 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.20966 rounded to 1 decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33989 - -33989.50844. What is w rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0362 and -336654.\nAnswer: 12186.8748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.88 - 0.48. Suppose 4*o + 27 = -4*w + 3*w, 3*o + 30 = -4*w. Let z be (2\/3)\/(10\/o). Which is the third biggest value? (a) z (b) m (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 27*w - 7. What is the least common multiple of 10 and z(3)?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27392 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/4 - 32747*y\/2 - 130972.\nAnswer: -(y + 8)*(y + 65486)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 110541 at least 941?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -1. Suppose 6*f - 4*f - 124 = t. Suppose f = 4*r - 58. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-272)\/(-6)*(-6)\/(-4). Let r = o + -22. Calculate the remainder when r is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258 is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 5*p = -0 + 16, -4*w + 8 = 2*p. Let i(l) = 15*l - 5. Let n(k) = 3*k - 1. Let y(c) = i(c) - 4*n(c). Give y(w).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 372.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4098122843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 80103*l - 961217. What is m(12)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -182848871*h**3 + 8*h**2 + 21194*h + 3 wrt h?\nAnswer: -1097093226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.5 (b) 9 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 5. Let k = 277.6 + -278. What is the second smallest value in k, w, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 74 and 185.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -1 + -1 + (-6 + 18 - 7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -66157, -264604, -595343, -1058374, -1653697, -2381312, -3241219?\n\"Answer: -66146*b**2 - 9*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2. Let n(a) = 142*a + 3. Let l(z) = -1568*z - 34. Let i(q) = -6*l(q) - 68*n(q). Calculate i(k(d)).\nAnswer: -248*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3806 or 3820?\nAnswer: 3820","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (13 + -9) - (3 - (-6 + 5) - -47)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 97646?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k + 3*u - 1657 = 2*k, -2*k + 3*u = -646. Let h = k - 236. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*l**2 + l**2 + 153 - 4*l**3 + 11*l**2 + 4*l**2.\nAnswer: -4*l**3 - 11*l**2 + 153","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -8. Let q(c) = -15. Let r(m) = 6*q(m) - 11*t(m). Let n(s) = s**3 + s**2 - s + 6. Let w(z) = -2*n(z) - 7*r(z). Determine a so that w(a) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 10*c**2 - c - 3. Let r be 2\/(-11) + -5 + 1336\/88. What is z(r)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/((-475)\/114))\/((-3)\/20).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 6*m**2 - 5. Let h be n(5). Suppose -2*g + h = -131. List the prime factors of g.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from -2.0764.\nAnswer: -2.4764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -5*a - 71, -2*q + 182*a + 66 = 178*a for q.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -6*(-2 + sqrt(192))**2 - (-2 + sqrt(192) + -4 + sqrt(192) + 1).\nAnswer: -1173 + 176*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uhvhhhuvu. Give prob of sequence vhuu.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, d: 3, h: 2, i: 2, q: 2, s: 2}. Give prob of sequence sdsi.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -6*d**2 + 4. Let q(x) = 233*x + 2 - 234*x - 5*x**2 + 2. Let a be 91\/21 - (-2)\/3. Let l(b) = a*q(b) - 4*n(b). What is l(-7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*f - 18*f - 22*f + 700 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/58)\/((-1836)\/4437). What is the nearest to 0 in 3, 1, -1\/68, z?\nAnswer: -1\/68","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -4*q**2\/7 - 22338936*q\/7 - 31189253850756\/7 = 0.\nAnswer: -2792367","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 5*m - 11 = 0, 5*n - 3843*m + 7684*m = 3843*m + 12 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2068 is divided by 70?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15012 (base 6) to base 13.\nAnswer: 1115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-4 + -9 + 3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in five eighths of a micrometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 370994.4 litres in millilitres?\nAnswer: 370994400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13313000 - 12?\nAnswer: -13313012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f + 4. Let v be i(3). Let h be (2 - -3)*1*-1. Put v, 4, h in decreasing order.\nAnswer: 4, v, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -445 - -650. Suppose -6*j + s = -j. What are the prime factors of j?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 4:29 AM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 950400705?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -5. Is 0.06 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -6\/13 (b) 5\/6 (c) -28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 3 = -4*z, 3*y - 3 = -0*y - 5*z. What is the highest common divisor of 5 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*p**4 - 37*p**2 - 17*p - 458529*p**5 + 14*p**6 - 18*p**6 + 458517*p**5 wrt p?\nAnswer: -480*p**3 - 720*p**2 - 456*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*f**3 - 139364*f**2 + 2646104*f + 12814496 = 0. Calculate f.\nAnswer: -4, 23, 34822","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49582129 and 5870?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 12:55 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3560, 1715, -130, -1975, -3820, -5665?\n\"Answer: -1845*f + 5405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b98c7 (base 15) to base 2.\nAnswer: -10001111110110110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1846927420 to the power of 1\/3, to the nearest integer?\nAnswer: 1227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1040 - 1044. Let t(a) = -a**3 - 7*a**2 - 15*a - 5. Give t(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + c - 83 = -2*q, -c - 343 = -341 for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of 1\/3*r**4 + r**2 - 5\/6*r**3 - 1\/20*r**5 + 0 + 2*r. Determine h so that b(h) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2561?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.028451584 times -8?\nAnswer: 0.227612672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -246, -501, -756, -1011?\nAnswer: -1266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3404871?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*r + 2535 = 184*r - 2055 for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1958852 is divided by 262.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -205, -395, -573, -733, -869?\nAnswer: -975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5402 and 146.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 3*i - 2. Let x be c(5). Do x and 39 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-10)*(-4720)\/47200?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253 is divided by 234.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 38737412 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 - 53 - -30 - (2 + (3 - -15))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*f + 6*f - 5*f.\nAnswer: 16*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/315*-285*(-54)\/(-6669)\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3\/8 + 565377*c**2\/4 - 1130763*c\/2 + 565383.\nAnswer: 3*(c - 2)**2*(c + 376922)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/9)\/(p**(-2\/7)\/p)*(p**(-2\/5))**(-4) assuming p is positive.\nAnswer: p**(839\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.01 and 0.08.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -h - 3*h + 12, -3*f - 15 = -5*h. Suppose -2*p + 0*p + 28 = f. Is p a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -201441 - 4304413?\nAnswer: -10011404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - t - 2 = -5, y - t = -3. Suppose 2*v - 5 = 5*c + 28, 4*v + c - 11 = y. Solve v*g = 4*b + 7 + 5, g = 5*b + 7 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27888358 is divided by 324.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 3*q - 4*l, -q - 5*l = -2*q + 29. Suppose 4 - 20 = 4*h + 5*v, 2*h + q*v = -8. Let c(u) = -u**2 + u - 3. Let j be c(0). Which is greater: h or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9585 is divided by 70.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) + sqrt(1100)*1 + 3 + ((-2 + sqrt(1100))*6)**2 - (-3 + -1*sqrt(1100) + 2)) + 1.\nAnswer: -1410*sqrt(11) + 39749","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 82 (b) -2\/19 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(3\/5)*p)\/(p\/(p*p**9\/p*p)))\/(p**(-5)*p\/(p**(-4\/5)\/p)*p*p) assuming p is positive.\nAnswer: p**(59\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (21\/252)\/((-15)\/(-100))\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.5, 5, 5\/3, -2\/9, -2, 105\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/28147052 and -62\/5?\nAnswer: 140735260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*q - 453 + 1077 for q.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*o - 4*d - 9, -4*o + 4*d + 20 = 0. Let w = -17 - -16.3. Let f = w + 0.2. Which is the second smallest value? (a) -3 (b) o (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2517.854 millennia?\nAnswer: 25178.54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 3 - 190240*f + 380297*f - 190022*f - 2.\nAnswer: 35*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2559588 by 2.\nAnswer: -1279794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 362771\/1041 or 349?\nAnswer: 362771\/1041","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4521 and 4632792.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*q + 3. Let n be -4 + 3\/(-3) + q. Let o be ((-6)\/231)\/(n\/7). Which is bigger: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -400662 * -0.194\nAnswer: 77728.428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 263682?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.040404 < -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3444700 by -344470.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h + 5*m = 43 + 37, 0 = -4*m for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 50*x**2 + 149*x\/3 - 1\/3.\nAnswer: (x + 1)*(150*x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*x - 693*x = 562*x + 427*x - 126063 for x.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -19*v**2 + 6. Let h(j) = 18*j**2 - 5. Let u(l) = 6*h(l) + 5*m(l). Let k = 54 - 53. Is u(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -125850 by -41950.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2602*l**5 + 229*l**4 - 11038*l**2 + 30*l wrt l.\nAnswer: 156120*l**2 + 5496*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 2*r**4 + (3*r + 0*r - 2*r)*(-5*r**3 + r**3 + 11*r**3) + (0*r**3 - 5*r**3 + 2*r**3)*(2*r - 3 + 3).\nAnswer: 3*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 18.86 and 2.581.\nAnswer: 21.441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 3*y - 89, -4*m + 5*y - 31 = -373. Suppose 1 = -2*l + m. List the prime factors of l.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2)\/5)\/((-11)\/165)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 3*h**2 - 20*h + 4. Calculate g(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 40916909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*3*sqrt(425) - (-2 + (sqrt(1088) - (1 + sqrt(1088)) - sqrt(1088))).\nAnswer: -52*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of 5*y**4\/2 - 11*y**3\/3 - 27*y. Find the second derivative of g(z) wrt z.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-60)\/45*(1 - 10\/8). Factor x*m**2 - 2\/3*m + 1\/3.\nAnswer: (m - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 10 + (6 - (-5 - (11 - 28)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*n + 3013824 = 30*n + 3*n. What is the greatest common factor of 33 and n?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1201 (base 3) to base 4\nAnswer: -232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -6*d - 1. Let h be k(-1). Let f(b) = 2*b - 2 + 0 - h*b + 3. What is the units digit of f(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5771624ns in milliseconds?\nAnswer: 0.0000005771624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -69 - 46. Let n be (a\/(-10))\/(2\/20). Let y = 67 - 21. Calculate the greatest common divisor of y and n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-9) + 51\/9. Suppose -9*t - f = -11*t. Let k(y) = 2 + y + 0*y - 3*y. Give k(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 25*d**2 - 100*d - 331. Let g(k) = 7*k**2 - 32*k - 110. Let n(z) = -7*g(z) + 2*m(z). Solve n(v) = 0 for v.\nAnswer: -18, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 12 - 7)*(k + 0*k - 2*k) in the form f*k + m and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 295 divided by -5.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 8*j**2 - 137*j + 21. Let k be a(17). Solve -2*d = -4*l + 8, 8*l = k*d + 4*l for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - 13*q - 64. Give z(16).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7207)\/6657 + 4\/(-3). Let m = -4\/317 + c. Calculate the common denominator of -59\/9 and m.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 40, 771, 1980, 3667, 5832, 8475, 11596?\n\"Answer: 239*h**2 + 14*h - 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -112020332 (base 6) to base 2\nAnswer: -111110101110110100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2240 and 8?\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 7*j - y + 2156 = 0, -y = 4*j - 8612. What is the remainder when j is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7.1 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**4\/4 + 7409*z**3\/4 + 11107*z**2\/2 - 7406*z = 0.\nAnswer: -7406, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -116 - -43. Let u = -41 - t. Let w = 58 - u. What is the remainder when 100 is divided by w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1100 + 1111221012?\nAnswer: 1111212212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*l - 65 = 25 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 6974*b**2 + 668*b + 20. Let n be v(10). What is n rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + c**2 - c - 1. Let p(z) = -2*z**3 + 24*z**2 - 40*z + 1. Let w be p(2). Let f(m) = -5*m**3 + 4*m**2 - 2*m + 2. What is w*f(o) - 2*d(o)?\nAnswer: -3*o**3 + 2*o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -38, -27, 34, 139, 282, 457, 658?\n\"Answer: -l**3 + 31*l**2 - 75*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -7*v + 27. Suppose 4*g - 16*g**2 + v*g + 20 - 2*g - g = 0. What is g?\nAnswer: -1, 5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*p**2*r - 5962*p**2 + 2*r - 11137 wrt p.\nAnswer: 4*p*r - 11924*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47679115247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, s: 11, r: 3, g: 3}. What is prob of picking 3 v?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 12\/25 of a milligram?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3687761?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 2)*(-92997)\/430596. Let l = -4\/1329 + m. What is the common denominator of 89\/30 and l?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of 3*b + 0*b**2 + 3\/4*b**4 + 0*b**3 + 0. Let u(n) be the second derivative of -n**4\/6 + 7*n. Determine u(m(g)).\nAnswer: -162*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + v - 210 = -23*c + c, 43*c + 4*v + v - 71 = 37*c for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4*h - 4. Let r be z(7). Suppose r = 3*b - 2*b. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 7048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 11:25 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggzg when four letters picked without replacement from {z: 1, g: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + -2*(-4 + sqrt(11) - sqrt(11))**2)*-2.\nAnswer: -2*sqrt(11) + 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -421220, -421216, -421212, -421208, -421204, -421200?\n\"Answer: 4*k - 421224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -19\/5. Which is the second smallest value? (a) -0.2 (b) h (c) 4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*a - 2*a + 5*i, 2*a - i = 0. What is the tens digit of (3 + a)\/(8\/76)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/6*-1)\/((-1)\/(-214)). Let l = j - -111. Suppose -5*t + l*k + 67 = 0, t + 4*t - 5*k - 70 = 0. Sort 0, 2, t in descending order.\nAnswer: t, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17961861 is divided by 303?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 439, 431, 355, 211, -1, -281, -629?\nAnswer: -1045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**2\/7 - 86*r\/7 + 180\/7 = 0?\nAnswer: -45, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13.1 + 1.06. Let b = -14 + i. Let l = b + 0.14. Put -0.1, l, 2\/5 in decreasing order.\nAnswer: 2\/5, l, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5*j + 71 = -0*j, -5*s = -2*j - 332. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 390.\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 458?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 72003229 to the nearest integer?\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24.7 + 2.7. Let p = -4.8 - 0.2. Sort p, k, 3.\nAnswer: k, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y, 1 j, and 1 t when four letters picked without replacement from {t: 3, y: 4, j: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5466690?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 + (12 - (-5 + 34)) + 4 - -7.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -35 - (75 + -47 + -44 - -25).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 221101 (base 3) to base 13\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 40 = -a. Let n be (-187413)\/21 - a\/(-14). Calculate the common denominator of (0 + 4\/(-18))*n\/100 and 137\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v**2 - 2*v**2 + 3*v**2 + 112*v**3 - 114*v**3 - 332 + 1036.\nAnswer: -2*v**3 - 4*v**2 + 704","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 459 + 30.04681705\nAnswer: 489.04681705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12188?\nAnswer: 2, 11, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -279*n - 5802222 + 5792457 for n.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2\/4315871335 + 13559034865285878\/1946457972085. Let r = 6966 - b. Let x = r - -6324\/2255. Calculate the common denominator of x and -43\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 5212*m**2 + 18*m - 51. Is f(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of 0 + 0*i**2 + 0*i**5 + 0*i**6 + i - 1\/6*i**4 - 1\/21*i**7 + 0*i**3. What is the third derivative of n(q) wrt q?\nAnswer: -120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 418*g + 390. Let z(p) = 209*p + 196. Let n(y) = 3*j(y) - 7*z(y). Find the first derivative of n(l) wrt l.\nAnswer: -209","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*g = 13*g - 27939 + 181898. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.9 - 4.11. Let g = x + 0.2078. Round g to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k + 46 - 96 + 42 + k**2. Determine c(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3*t + 38 = 0, 0 = 3*f - 5*t - 34. Let w(b) = b**3 - 4*b**2 + 2*b - 6. Let j be w(4). Suppose 6 + f = j*y. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.8 - 0.3. Let k be 2\/4*(3 - 5). Let u be 3\/2*k\/(-6). What is the closest to u in -2, a, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, 21, 5, -2, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, 32, 469, -2 in decreasing order.\nAnswer: 469, 32, -2, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -3*l + 3*p, -l = l + 3*p - 30. Let o = l + -4. What is the highest common factor of o and 110?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 2*r + 40 = 0. Let a be (-3294)\/(-189) - (-2)\/1. Are r and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 15*f + 11 + 19*f**2 - 8*f**2 + 3*f**3 - 4*f**3 - 5*f**2. Let p be q(8). Suppose 0*j + p*j - 48 = 0. Solve 4*k - 11 = 5*x, -4*k - 2*x = -j - 2 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-260)\/(-100) + (-4)\/(-10). Let i be 30 - q\/9*9. Is i < 26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of g**6\/120 - g**5\/12 + g**4\/12 - 5*g**3\/6 - 2*g**2. Calculate b(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 3852?\nAnswer: 3852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 59969783 to the power of 1\/3, to the nearest integer?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4052775850.\nAnswer: 2, 5, 71, 173, 6599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 38565 and 71869734.\nAnswer: 359348670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 2*d - 90. Is d equal to 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 11. Which is the closest to 0? (a) 0.3 (b) 0.2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18305124*o**2 - 4*o - 69076.\nAnswer: 36610248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1211 - 1.324132.\nAnswer: 1209.675868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -2*i - 8*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7\/42 + 310\/12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -64 + (-10 - (-53 + 13)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = 4*a - 25. Suppose -3*c - 4*t = -18, -c + 1 = -0*c + 3*t. Let x = a - c. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1*6 + 247\/39)*21 - -22103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/485628 and -61\/1618760.\nAnswer: 4856280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45 - 27. Suppose 2*k + 2*x - s = 0, -k + 0*x + 3*x = 11. Find the second derivative of -6*h**4 - 3*h**k + h + 6*h - 2*h**4 wrt h.\nAnswer: -132*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -295946, -295908, -295844, -295742, -295590?\n\"Answer: 2*x**3 + x**2 + 21*x - 295970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 450 divide 1583758350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1200 and 14938800.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.53 + 0.47. Which is bigger: -20 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 292181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + n - 1. Let w(z) = 1. Let g(v) = -j(v) - 3*w(v). What is the remainder when 21 is divided by g(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/(-11) - (-1 - 1157\/11) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -49*k**3 - 261*k**2 - k + 97*k**2 + 4*k**4 - 83*k - 27*k**3.\nAnswer: 4*k*(k - 21)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t. Let l(f) be the second derivative of -2*f**3 + 28*f. Determine b(l(w)).\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.225129 to three decimal places.\nAnswer: -0.225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**3 - 41*t**2 - 80*t + 67. Give a(22).\nAnswer: -241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -5, 1, 736.\nAnswer: -5, -4, 1, 2, 736","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1836)\/(-225) + -4*2)\/((-4)\/60)?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -8*j**2 + 40*j + 5. Give f(7).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 278 + 1066 = 5*m, 264 = m - 2*a. Let x = m - 781\/3. Let t = -7 + x. Which is bigger: -7 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2112*n**3 - 1 - 1997*n**3)*(2*n + 0*n - n) to the form x*n**2 + c*n + z + i*n**4 + f*n**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-156) - 46\/(-78)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -637 + 642. Let v(s) = s**2 - 45*s + 200. Let g be v(c). Which is greater: 1\/411 or g?\nAnswer: 1\/411","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j + 4. Let t be c(3). Suppose 3*a + 8 = a. Put 5, t, a in descending order.\nAnswer: 5, a, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14561.\nAnswer: 14561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 575\/3699 - 1\/137. Calculate the common denominator of j and 16\/9.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 + 4*g + 22. Let q be i(6). Suppose -2*w = 4*a - 442, 5*w - q*a = -7*a + 1066. List the prime factors of w.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 0*x - 3*x + x. Let j(q) = q - 1. Let o be j(6). Let d(k) = k. Let i(v) = o*d(v) + 2*w(v). Let b(m) = -3*m. What is b(i(u))?\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8 + -12339?\nAnswer: -12331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*m**2*u*v**2 + m**2 + 82*m*u*v**2 + m*u*v + 991*m*u - m wrt v?\nAnswer: 30*m**2*u + 164*m*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, f: 2, m: 2, n: 1, r: 1}. Give prob of sequence rfnm.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4a08a9 (base 16) in base 4?\nAnswer: 102200202221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 13*r**2 + 5*r + 5. Let n(s) = 45*s**2 + 18*s + 18. Let y(h) = 5*n(h) - 18*t(h). Let u(b) = -410732 - 3*b**2 + 410732. Calculate u(y(i)).\nAnswer: -243*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.84 + -3.284. What is y rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 7\/8, 0.4, -8 in descending order.\nAnswer: 7\/8, 0.4, 0, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d = 5*p + 1 - 18 + 241, -4*p + d + 34 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a meter in millimeters?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j + 30 = 5*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2844702 divided by 1422351\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + (1 - -7) + -2. Let l(k) = -2*k - 7. Let g be l(-5). Suppose g*i = -i + j. Is -2\/11 at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 10:49 AM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 3*r + 10 = 0, -4*o = -7*r + 4*r - 20 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -5*q + 7, 0 = 5*q - 65718*b + 65714*b - 43 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -6*a**2 - 2*a + 6. Let z be v(2). Let b be 55\/z + (10\/(-4) - -2). Let u be ((-64)\/12)\/(b\/(-9)). Which is bigger: -17 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 352980 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccy when three letters picked without replacement from {y: 4, l: 6, c: 4}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**9*w*w**13\/w)**(-47) assuming w is positive.\nAnswer: w**(-1034)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3384*o**2 - 10*o - 1942. Let j(h) = 5075*h**2 - 16*h - 2922. Let m(i) = -8*g(i) + 5*j(i). What is the derivative of m(k) wrt k?\nAnswer: -3394*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**3 - 3*z**2 + 4*z. Let k be c(-4). Let a be 1\/(0 + 4\/k). Find the first derivative of 12*g**4 - a + 17 + 9 wrt g.\nAnswer: 48*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttttttatavvatttttva. What is prob of sequence av?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 92*g**2 - 104*g**2)*(-g**2 + 0*g**2 + 3*g**2 + (2 + 0 - 3)*(-g**2 + 0*g**2 - g**2)).\nAnswer: -48*g**4 + 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 5:07 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2660 and 152.\nAnswer: 5320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 (base 7) in base 6?\nAnswer: -143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((x - 2*x + 0*x)*(0*x - x + 0*x) - 506*x + 506*x - 96*x**2 + 3*x**2 + 4*x - 4*x + (-3 + 7 - 2)*(-3 + 2*x**2 + 3))*(0*x + 2*x + 18*x**2 - 20*x**2).\nAnswer: 176*x**4 - 176*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 b when three letters picked without replacement from {b: 3, z: 1, x: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v - 12*v = 2*q + 167701, 4*v + q = 670849. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/(-10))\/((-120)\/(-750)*(-5)\/2)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -5 (b) 2\/13 (c) -3\/7 (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -1 - (221186\/343)\/(-74)\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -4*s - 0*s - 18, -31 = -4*f + 3*s. Suppose -r - 21 = 5*c, -r = -c - f - 2. Sort -3, r, 0.\nAnswer: -3, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 + 27. Let z be (3 - c)\/(-1 - 0). Solve z*g - 4*g - 15 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-99)\/(-2871))\/(30\/3045)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, d: 1, c: 2, e: 1}. What is prob of picking 2 c?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12582 by -54.\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 1035*j + 11*j**3 + 1036*j + 1033*j - 3*j**2 + 2 - 3102*j as i*j + y + u*j**2 + w*j**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**2\/z)**(2\/61)\/((((z\/(z**(3\/5)\/z)*z*z)\/z*z)\/z)\/z*z**(-1)))**(-14\/11))**17 assuming z is positive.\nAnswer: z**(26656\/3355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21335 and 42670.\nAnswer: 42670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 107929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {w: 7, h: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 (base 7) in base 2?\nAnswer: 11010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 at least as big as -12319866?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 3731314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 6) in base 3?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-7) - 72\/(-154). Let h be 28\/(-8)*(-36)\/(-252)*-50. What is the second smallest value in h, t, 1\/6?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 99 + 53. Suppose d*u = 56*u - 216. What is the remainder when 45 is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.56*0.1.\nAnswer: -0.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4631?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/11 + (-4)\/99. Let i(f) = -2*f - 3. Let h be i(-4). Suppose 0 = 2*t - 4, -h*y + 5*t - 16 = -2*y. Sort 3\/5, q, y in decreasing order.\nAnswer: 3\/5, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.5, -0.371, -17 in decreasing order.\nAnswer: 1, -0.371, -0.5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*d**3 + 0*d**3 + 2 - d**3)*(-16 + 1 - 1) as w*d**2 + k + j*d + n*d**3 and give n.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 42966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*2\/(-4) - 105\/(-91).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -5*j - o, 2*o - 312 + 375 = 13*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {u: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -227016*b**3 + 2193*b**2 + 4*b - 4?\nAnswer: -1362096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277 is divided by 97?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -39710*w**4 - 1231025*w**3 - 8696955*w**2 - 7508475*w - 2835 = 0?\nAnswer: -21, -9, -1, -3\/7942","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1568, -6078, -13594, -24116, -37644, -54178, -73718?\nAnswer: -96264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**2. Let k(n) = n**2 + 256*n - 256*n. Calculate k(u(d)).\nAnswer: 4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -23*z**2 - 3*z. Let w(a) = 17*a + 16*a**2 - 4*a**2 + 12*a**2 - 13*a. Give -4*n(x) - 3*w(x).\nAnswer: 20*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -m**6\/27 - 4*m**5\/9 - 4*m**4\/3 + 20*m**3\/27 + 25*m**2\/9 - 3175. Determine v, given that g(v) = 0.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 933042 - 933033 = -p, 3*p - 21 = -3*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a hour in minutes?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of o**3\/2 - 3*o**2\/2 + 2*o. What is the remainder when 29 is divided by b(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 19*k + 4. Is w(2) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 2:12 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 730 + -716. Let y(o) = -o**3 + 4*o**2 + 4*o - 7. Let h be y(5). Let p = a + h. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4*s = 2*o + 8, -5*s + 2*o = -5. Let p = s + 1. Find the second derivative of p*n - 2*n + 0*n**5 + 2*n**5 wrt n.\nAnswer: 40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 343737 or 1031213\/3?\nAnswer: 1031213\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -5*h + 2*s, -3*h - 4*s + 19 = -0*s. Sort -3, h, 15, 4 in decreasing order.\nAnswer: 15, h, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i + 85, 36 = -3*v + 5*i - 43 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 5*j - c - 140, c = -5*j + 175. List the prime factors of j.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*w + 41*w + 45*w - 5.\nAnswer: 4*w - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.36 + -0.06. Let s = j + 5.7. Let v = 4 - s. Which is the nearest to 0? (a) 5 (b) -0.5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1272210461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/3? (a) 5 (b) 2 (c) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*x**3 - 2 - 46*x + 21*x + 26*x + 2*x**2 to a*x**2 + q + w*x**3 + m*x and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 b when three letters picked without replacement from {b: 3, p: 11}.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*m**3*o*s + 3*m**3*s*u + 4*m*o*s + 2*m*s*u**2 - 8*o*s + 12*o*u**2 wrt u.\nAnswer: 3*m**3*s + 4*m*s*u + 24*o*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256787241 is divided by 361?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**2\/3 - 19984*d\/3 + 4116800 = 0. Calculate d.\nAnswer: -20584, 600","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 36\/(-10)*(3510\/48)\/(-117)\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000011212004 rounded to seven dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 - 1 - 300*h + 300*h)*(46*h - 5*h - 188*h).\nAnswer: -294*h**3 + 147*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 199 + -163 - (0 + -1 + (-3 - -6) + 8)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.06 - -0.74. Let z = -0.2 + 1.2. Let g = z - i. Is g at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -211961, -847884, -1907769, -3391628, -5299473, -7631316, -10387169, -13567044?\nAnswer: -17170953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/10 and -10\/2347.\nAnswer: 23470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 2, 103, -1\/13?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/28)*(j\/(j**5*j))\/j*j*(j*j**(2\/21))\/(j*j\/((j\/(j\/j**(-19\/4)))\/j)) assuming j is positive.\nAnswer: j**(-244\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 10*g**2 + 17*g - 23. Is p(12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - (-37 + 34)) + (129 - (5 - (0 - 0))).\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 94049, 93783, 93451, 93053, 92589?\n\"Answer: -33*b**2 - 167*b + 94249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 31\/3, -65 in increasing order.\nAnswer: -65, -2, 31\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 - 21. Let x(n) = -n**3 + 3*n**2 - 4*n + 3. Let u be x(3). Let h = u - -13. Solve -5*v = h*j + 16, 3*j = z*v - 0*v + 15 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 26 = 5*b, 43 - 23 + 4 = -3*g for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r\/r**(2\/13)))\/r*r**(-6)*r)\/(r**(-7\/6)\/r**(6\/11)) assuming r is positive.\nAnswer: r**(-2689\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -85\/247 - -401306\/1235. Let m = 6747\/20 - a. What is the common denominator of m and -43\/92?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**3 + 1 - j - 124*j**4 + 2*j + j**2 + 125*j**4 - 5*j**2 as f*j**2 + g + p*j + m*j**4 + d*j**3 and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -52563706 (base 8) to base 13\nAnswer: -24220b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 3\/484894?\nAnswer: 3\/484894","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 27 = 4*d, -d = m + m - 5. Calculate the common denominator of 0 + ((-539)\/2)\/d and 266\/32 - 2\/1.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24250376, -48500751, -72751126, -97001501, -121251876, -145502251?\nAnswer: -169752626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nggncgngnnnnngnng. What is prob of sequence gncg?\nAnswer: 5\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + 8*q**2 + 9*q + 16. Determine n(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - s - 1)*(13*s - 13*s - 46*s**3) + 5*s**4 + s**4 - 4*s**4 to x*s**2 + q*s + w*s**4 + b*s**3 + n and give w.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + 11*t + 38. What is the tens digit of y(-15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 PM and 3:31 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4630 divided by 5?\nAnswer: -926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.6 + -0.8. Suppose 4*p = i + 56, -247*i + 160 = -252*i - 4*p. Which is the second smallest value? (a) g (b) i (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -330301031 (base 4) to base 14.\nAnswer: -669d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of 1\/8*j**4 + 0*j + 43 - 3\/2*j**2 + 0*j**3. Let z(l) be the second derivative of u(l). Let i(a) = 5*a. Give i(z(t)).\nAnswer: 15*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(11\/4)\/q**3*q*q**(-2\/15)*q*(q**(-13)*q)\/q assuming q is positive.\nAnswer: q**(-683\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -10.9. Which is the nearest to -0.3? (a) 0 (b) i (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o - 12. Let j be w(-5). Solve a - 1 = j for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = 2*a - 8, 7*a - i = 6*a + 5 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2437 and -3.\nAnswer: -7311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -11323220?\nAnswer: 11323221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 5. Let k be 10 - 2\/(-6)*-3. Suppose -k = -s + x. List the prime factors of s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*j + 179 = -56 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -31 in -2\/3, 1\/5, 5, 54, 1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 d when two letters picked without replacement from {b: 3, d: 1, k: 1, f: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (0 + -4) - -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.183*-6.8\nAnswer: 1.2444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1358 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36 (base 9) to base 12.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/29)\/(t\/t**(-7\/2)*t) assuming t is positive.\nAnswer: t**(-321\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 - 22*w - 37. Determine f(-20).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1199 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (2 - 0) + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-2)\/(-2))\/(1652\/(-552) + 3).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 650*o**2 + o + 6*o - 649*o**2 to the form r + i*o + p*o**2 and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 + 37. Suppose -h*p = p - 2*p. Sort p, -4, 2 in descending order.\nAnswer: 2, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o + 6*o**2 + 2*o + 18*o**2.\nAnswer: 24*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39 + -20. Let s(o) = -o + 11. Let l be s(7). Suppose -37*b = 5*a - 34*b - 29, -3*a + 27 = 5*b. Solve -5*h + a*q - 3*q = -10, -h - d = l*q for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -123*w - 1959. Calculate l(-16).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35499 divided by -11833.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23102, 4, 5, 0, -4, 36, 2 in increasing order.\nAnswer: -4, 0, 2, 4, 5, 36, 23102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1981, -3949, -5917, -7885?\nAnswer: -9853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1244 divided by -5.\nAnswer: -1244\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/464 and 113\/14790?\nAnswer: 118320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 19020167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/9)\/((-170)\/204*(-2)\/(-3))?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**3 - 9*u**3 - 5*u**3 + (-173*u**2 - 100*u + 100*u)*(4*u + 4*u - 6*u).\nAnswer: -363*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*h**3 + 4 - 9*h**3 + 2*h**2 - 2*h**2 to a + o*h**2 + f*h + k*h**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7009150?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (((sqrt(19) - sqrt(76)) + 0 - sqrt(76)*-1) + 1 + -2*sqrt(1216))**2)*-2.\nAnswer: -8542 + 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45*p - p**2 - p**2 + 7*p**3 + 2*p**3 - 2*p**3 - 17*p**3 to the form l*p**3 + d + k*p**2 + b*p and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - -4. Suppose 2*t - 3*r - 48 = t, -4*r - 8 = 0. What is the highest common factor of f and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j - 15. Let r(m) = -3*m - 5. Let f(l) be the first derivative of 2*l**2 + 7*l + 12. Let y(i) = 5*f(i) + 7*r(i). Calculate c(y(k)).\nAnswer: 2*k - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 11484.666 months?\nAnswer: 0.9570555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -o**6\/6 - 23*o**5\/60 + 4*o**2 - 22*o. Let t(c) be the first derivative of k(c). Find the third derivative of t(a) wrt a.\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -236 = -4*v + 3*j, 2*j + 178 = 3*v - 0*j. Is v a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -2918\nAnswer: 5\/2918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + -13. Suppose -u*m - 5*s = -22, -s + 25 = 5*m + 4*s. Let k(t) = -2*t. What is k(m)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 5*o**2 - 2899*o + 8685. Calculate g(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 316*h**3 + 11*h**2 + 548. Let b(n) = -106*n**3 - 4*n**2 - 183. Let t(g) = -11*b(g) - 4*q(g). Find the first derivative of t(r) wrt r.\nAnswer: -294*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 495.4558 + 0.0442. Let r = t - 495. What is the second biggest value in -0.2, 1\/3, r, 5.8?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210 = -17*m - 176 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 106 + (8\/(-4) - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 109 + -57. Let h = 49 - u. Let i = -0.03 - 0.02. What is the third biggest value in i, h, 0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -74. Let g = -59 - u. Differentiate 4*h**4 - 9 + g*h**4 - 3 wrt h.\nAnswer: 64*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 881*r**2 - 5. Let c(q) = -38763*q**2 + 219. What is -5*c(z) - 219*d(z)?\nAnswer: 876*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 30413 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 30, -0.2, -4, 1\/2, -0.174?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -r**2*x - 312270517*r**2*y - 2*r*x*y - 6*r*x - r*y + 2*x + 4*y - 10 wrt r?\nAnswer: -2*x - 624541034*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -7*k. Let f(z) = z + 24774. Determine f(d(x)).\nAnswer: -7*x + 24774","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 75*s. Let j(t) = 4*t**2. Calculate k(j(z)).\nAnswer: 300*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 205*n - 519. Calculate u(4).\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/((-6)\/(-4)) - (-4 - -2). Suppose a + 291 = 3*v + 65, q*a = -3*v + 251. Suppose -103 - v = -6*b. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4614)\/(-105) - 2 - -56*255\/249900?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 6 = 2*t, 4*q = -t + 291. Find the common denominator of (-32)\/q - (3 - 229\/36) and 64\/51.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/14*(-8)\/(-32)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -4*x**2 + 148*x + 151. Determine u(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**0)**(2\/35)\/(x**(-1))**(-36))\/((((x*x\/(x*x**(1\/4)))\/x)\/x)**(-23)\/(x**(-1))**(-39)) assuming x is positive.\nAnswer: x**(-103\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 19376 + -4?\nAnswer: 19372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1044527893 divided by 4?\nAnswer: 1044527893\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2956079857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5071 - 832. Does 157 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 37?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -h**6\/180 - h**5\/240 + h**4\/16 - 19*h**3\/6 - 14*h. Let f(l) be the second derivative of b(l). Factor f(k).\nAnswer: -(k + 1)*(4*k - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1061 - 2*f - 1061 - 8*f**2 + (-f + 3*f - 3*f)*(4*f - 4*f - f) - 4*f**2 + 5*f - 5*f.\nAnswer: -11*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 6. Let z = t + 4.94. Let d = -148 + 148.3. Sort d, z, 5 in increasing order.\nAnswer: z, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9716*u - 3959*u - 12173*u - 1 + 473*u + 4460*u)*(3*u - u**4 - 3*u).\nAnswer: 20915*u**5 + u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 46*s**2 - 293*s. What is the thousands digit of p(37)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 148 - 146. Suppose -2*s + 0*c + 3395 = 3*c, -t*s + 3383 = -c. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 4 = f, 5*r - r - 16 = -4*f for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-140)\/20 + 11)\/((-208)\/12)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 346634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 1\/5, -0.3, 31, 5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyu when three letters picked without replacement from ayyyuuuyayuuyuuy?\nAnswer: 7\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 583 = -2*o + 6*o, 0 = 4*o - 5*h - 553. Calculate the remainder when o is divided by 37.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 12774*b**2 + 17*b + 37. Is j(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -36, -58, -82, -108?\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + (5 - 4 - 5). Sort 5, -4, t in decreasing order.\nAnswer: 5, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**3 - 3*f**2 + 3*f + 3. Let g(m) = 4*m**3 - 5*m**2 + 5*m + 5. Suppose -3 = d - 2*d. Let l(b) = d*g(b) - 5*c(b). Factor l(z).\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1804)\/(-9922) - 34\/66. What is the second biggest value in 7, x, -1\/2, -1\/4, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -939 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.041*3\nAnswer: 0.123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 1387*s - 177. Is m(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*a - 25 - 30 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -89 + 102. Let w(v) = -4*v**3 - 9*v**2 - 13*v + 15. Let x(l) = 2*l**3 + 4*l**2 + 6*l - 7. Determine q*x(u) + 6*w(u).\nAnswer: 2*u**3 - 2*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m + 2*m + 2 - 3*m + 2*m**2)*(91 - 118 - 45) as d*m**2 + o*m + u and give d.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o. Let u(h) = -2*h. Let b(p) = 10*c(p) - 6*u(p). Let j(q) = 13*q**2. Determine j(b(f)).\nAnswer: 52*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/12)\/(1\/9). Let x be (-1 - (-3)\/9)*s. What is the remainder when 19 is divided by (x\/(-4))\/(-1)*-14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**2 + 4*s + 1. Suppose -5*p = -2*a - 27, 0*a - 3*p = 4*a - 11. Calculate the remainder when (a\/2)\/(2\/(-52)) is divided by c(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = -3*z + 9. List the prime factors of z.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 0 + 1 - (5 + -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/16806 and -37\/11.\nAnswer: 184866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 + -16. Let q = j + 36. Is 3\/((-158)\/164 + q) a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 49.1 - 49. What is the nearest to -1\/2 in 0, -2\/5, x?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2591354601?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -267 + -24.952707.\nAnswer: -291.952707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*l + 2*l + l + (4 + 2 - 4)*(-l - 2*l + l) - 3*l + 3*l + 2*l - l + 4*l + 14*l.\nAnswer: 13*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 9*x + 6*x = 0, -4 = -4*l + 3*x. Suppose 8*w + 17 = 3*w + z, 2*z - 2 = 2*w. Sort w, l, -3.\nAnswer: w, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -5*u**3 + u + 10. Is z(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**2\/11 - 21701938*u\/11 = 0. Calculate u.\nAnswer: 0, 10850969","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - sqrt(400)\/sqrt(8))**2 + (-3*sqrt(12)\/sqrt(6))**2.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 0.5. Let m = c - 1. Let p = -3.5 + m. Put -0.5, 5, p in increasing order.\nAnswer: p, -0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f**3*j - 3328*f**2*j - 2*f*j + f - 3*j - 1 wrt f.\nAnswer: 12*f*j - 6656*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211205 (base 9) to base 11.\nAnswer: 86371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2362a086 + 9?\nAnswer: 2362a093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6, -1, -28, -87, -190, -349, -576?\n\"Answer: -2*x**3 + 2*x**2 + x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of -z**6\/36 - z**3 + 8*z**2. Let c(y) be the first derivative of j(y). Let k(p) = 2*p**2. Determine c(k(d)).\nAnswer: -40*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -4276 in increasing order.\nAnswer: -4276, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -669550275, -669550276, -669550277, -669550278, -669550279, -669550280?\n\"Answer: -k - 669550274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -47.051 - -0.051. Let z = k + 47.4. What is the second smallest value in 1, z, -5, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -0.4. Let i = -0.1 + 0.3. Which is the second smallest value? (a) s (b) 0.5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(48\/(-16)))\/(24\/(-80)).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1498 and 474.\nAnswer: 355026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*q - 44. Let m be (1 - 2)*(-12)\/q. Solve -3\/5*n**5 + m - 6\/5*n**2 + 3\/5*n**4 + 6\/5*n**3 - 3\/5*n = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 5*r - 3. Suppose -3*d + 2 + r = 0. Suppose -4*h = -3*j + 135, 32 = j + h + d*h. Is 15 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -213 - -244. Is n a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of 1\/6*n**4 + 1\/6*n**3 + 0 + 0*n**2 - 6*n. What is the second derivative of d(v) wrt v?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191791 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2 + -1 + (1*(sqrt(800) - (sqrt(800) + -1)) - sqrt(800)) + -3)**2.\nAnswer: -2475 - 600*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 6. Let g(k) = k**2 - 6*k - 29. Let i be g(y). Is i - -1 - 1 - -979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fz when two letters picked without replacement from {c: 1, z: 1, f: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 534\/220 + (-13)\/(104\/24) and -87\/50.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) + 1)**2 + sqrt(11) + (6*(sqrt(11) + sqrt(44)\/sqrt(4)))**2.\nAnswer: 9*sqrt(11) + 1761","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 357 = 33*n - 28*n, 3*n - 5*r = 218. List the prime factors of n.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -1. Let q(y) = -y**2 + 35*y + 687. Let g be q(49). Let n(m) = -12*m**2 + 2*m - 2. Calculate g*n(s) - 2*p(s).\nAnswer: -12*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 3, 10, 4, -2 in decreasing order.\nAnswer: 10, 4, 3, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 122\/7 - 24\/56. Let i = f - 16. Let y(h) = 13*h**2 + 2*h - 1. Determine y(i).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1238178, -1238212, -1238246, -1238280?\nAnswer: -1238314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of l**6\/120 - 7*l**5\/30 - 7*l**4\/8 - 31*l**3\/6 - 17*l**2. Is s(18) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*s - 8631 = -8796 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 58 - 4 - 23 - 52\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1 - -1)\/8)\/(-3). Suppose 72*k - 70*k - 824 = m. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o = -5*o + 3*j + 655, 2*o - 4*j + 288 = 0. Which is smaller: -124 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10706 + 10710. Let b be -1 + 1 + 2\/8. What is the nearest to 1\/4 in b, -12, c?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7509528 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6362, 7722, 9090, 10466, 11850, 13242?\nAnswer: 14642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.06 (b) -0.05 (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*a**3 - 24*a**3 + 17*a**3 + 53*a**3 - 8*a**3.\nAnswer: 124*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -16*j**3 - 2*j**2 - 11*j**3 + 26*j**3 - 3*j. Let l = -1 - 1. Give p(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3 - 35270*s**2 - 388525*s - 353250.\nAnswer: 5*(s - 7065)*(s + 1)*(s + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*i = -104 + 83. Let a(t) be the third derivative of t**5\/10 - t**4\/24 + t**2. Determine a(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -4. Suppose 4*k = 2*r + 14, 7 = k + 5*r - 2. Suppose 3*o = -4*t + 12, k*o - 20 = -5*t - o. Which is greater: t or x?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f - 2. Let q = 81 - 75. Let b(m) = -8*m + 13. Let i(j) = 15*j - 25. Let g(z) = 7*b(z) + 4*i(z). Determine q*g(h) - 26*r(h).\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 22716 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 + 35 + 36 - 112 + 2*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 89, 5, -0.3, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -1.9. Suppose -5*n - 5*b = 18 + 17, -b - 7 = -n. Sort -0.5, n, -3, p in descending order.\nAnswer: n, p, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12004 + -2342?\nAnswer: 4112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -2\/13, 4, -0.09?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = g + 11, 3*g + 0*g = y. Suppose -5 = y*o - 14. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 859 + -749. Suppose -7*k = -9*k + f. Calculate the highest common divisor of k and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, e: 6, k: 6, z: 4}. What is prob of picking 1 z, 1 a, and 2 e?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4.7? (a) 1\/23 (b) -0.3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 215*-0.26\nAnswer: -55.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 24*z**2 + 75*z + 601. Let h be d(-26). Solve h*a = 103*k - 104*k + 7, 4*k + 4*a - 20 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3 - 5056*n**2 + 6520212*n - 325520208.\nAnswer: (n - 2502)**2*(n - 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + (-14)\/(-8))*952\/102. Which is the fourth smallest value? (a) -0.5 (b) y (c) -9 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*6*(-5*(-3 + sqrt(19)))**2.\nAnswer: -900*sqrt(19) + 4200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 7*i - 4. Let h(m) = -m + 1. Determine -5*h(c) - x(c).\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 478718, 479011, 479318, 479645, 479998, 480383, 480806, 481273?\nAnswer: 481790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j**2 - j**2 + 3*j**2 + 7*j - 3*j**2 + 19*j + j**2 - 2*j**2 + j - j + (-j + j - 2*j)*(0*j + 0*j + 2*j) to h + i*j**2 + v*j and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(56) + sqrt(112)\/sqrt(2) + sqrt(56) - sqrt(56)) - (sqrt(112)\/sqrt(2) + sqrt(56))*1)\/(sqrt(16)\/sqrt(8) + sqrt(96)\/(-1*sqrt(12))).\nAnswer: -20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 3*q + 12. Let a be (-3 + 6)\/((-1)\/q). Let t = 0 + a. Calculate the remainder when t is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -162b0 (base 15) to base 7\nAnswer: -415266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (39\/(-15))\/((-1)\/2). Let d be -3*1\/((-6)\/8). Is p less than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -2 - -6) + (-7 - -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d - 13. Let q be j(-7). Put q, 0, -18 in descending order.\nAnswer: q, 0, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/4*6\/75*10\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zvmd when four letters picked without replacement from {m: 3, c: 8, v: 5, z: 1, a: 2, d: 1}.\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 6 + -9 + 7 + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 2*g**2 + g. Let k be x(-4). Suppose -5*f + 3*f - a + 16 = 0, k = 4*f + a. Calculate the remainder when 58 is divided by f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -25400?\nAnswer: -25401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -7. Let o be (2 + -3)\/(-1) - s. Put -2, o, -1\/4 in descending order.\nAnswer: -1\/4, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12405 + -341422?\nAnswer: -354231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 259 and 49618443?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22.7 - 1.7. Let b = 2 + d. Let x = -22.981 + b. What is x rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 9 = -3*c - 3*a, -2*c - 5 = -3*a. Suppose 0 = -c*q + 46 + 1196. What is the hundreds digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6832, -13595, -20364, -27139, -33920, -40707?\n\"Answer: -3*h**2 - 6754*h - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -23000?\nAnswer: -22331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(272))*-3 - sqrt(272)) + -3.\nAnswer: -16*sqrt(17) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - 16)*(-4*d + 0 + 0) - 2*d - d + d + 4*d - 3*d - 3*d + (-d - 4*d + 4*d)*(-3 + 3 + 2) + 4 - 4 + d as i + m*d and give m.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1791108.4 + 3\nAnswer: 1791111.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**3 + 4*b**3 - 3*b**3 + (b - 2*b + 0*b)*(2*b**2 + b**2 - 2*b**2) + (-b + b + 2*b)*(-8*b**2 + 5*b**2 - 13*b**2).\nAnswer: -35*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 22*i**2 - 22*i + 23. Let f be n(21). Solve f*m = -2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31164?\nAnswer: 2, 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1775*p - 378*p - 1089*p - 915*p to the form l + m*p and give m.\nAnswer: -4157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -15*z + 8*z - 139 + 255 - 116. Let i(y) = -9*y + 1. Determine i(h(b)).\nAnswer: 63*b + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -20\/3*a**2 + 28\/3*a**3 - 16\/3 - 64\/3*a = 0.\nAnswer: -1, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2734, -2735, -2746, -2773, -2822, -2899, -3010?\n\"Answer: -i**3 + i**2 + 3*i - 2737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53583 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1010 (base 3) to base 2\nAnswer: -11110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448)*1 + sqrt(448))*-2.\nAnswer: -32*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52 and 11076?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 2*r - 1 + 5, -5*y - 22 = -r. Let s(w) = 6 + w**3 - 3*w**3 - 4 + w + 2*w**r. Give s(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 459119 * 5.\nAnswer: 2295595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -8697143.\nAnswer: -8697143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13722 or 13720?\nAnswer: 13722","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.24 - 0.24. Put q, 591, 0.4 in increasing order.\nAnswer: 0.4, q, 591","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40 + 571. Suppose -4*o + y = 5*o. Factor 3*n + 8*n + o*n**2 + n - 38*n**2.\nAnswer: 3*n*(7*n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(0 - 2 + 11)*(-8*q**2 + q**2 - q**2).\nAnswer: 144*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 4*u**2 + 29*u + 55. Calculate the remainder when 187 is divided by i(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.22 in -3\/5, -1\/2, 0.15, -0.639?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 16 = 116*z - 111*z, -5*d + 176 = z. What is the highest common divisor of d and 5706?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -29347, -7, -4, -3.\nAnswer: -29347, -7, -4, -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of v**4\/12 - 2*v - 10. Let l(r) = -11*r**2 + 9*r. Give o(l(z)).\nAnswer: 121*z**4 - 198*z**3 + 81*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p**5 - 455*p**4 - 1335*p**3 - 1325*p**2 - 440*p = 0.\nAnswer: -88, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 7733000 to the nearest 100000.\nAnswer: 7700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/2443 and -97\/56?\nAnswer: 19544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**5 - 6*b**4 + 87*b**3 - 138*b**2 - 60*b + 168.\nAnswer: -3*(b - 2)**3*(b + 1)*(b + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -52041100.47945402 - -52043046.95. Let v = k + -1992.470545. Let d = -46 - v. What is d rounded to seven decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44.999993 - 45. What is g rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + (-20 - 833\/(-21)))\/(16\/6).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-2 + 0 - 0)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 3*p**2 - 1418*p + 1043. Determine i(36).\nAnswer: 539","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 181, -5, 1\/4, -3\/5, 0.03?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -52\/10579 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.16 + -0.56. Sort j, -0.3, 2\/3 in increasing order.\nAnswer: j, -0.3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*y**3 - 199 + 199.\nAnswer: 23*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(0 + -1 + (-4 + (sqrt(605) + -1 + sqrt(605) - sqrt(605) - sqrt(605)) - sqrt(605)))*6 + 4 + -3)**2.\nAnswer: 170280*sqrt(5) + 830305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 6*m**2. Let a(h) = -6980*h - 15*h**2 + 6980*h. Calculate a(u(i)).\nAnswer: -540*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fgx. What is prob of picking 1 f and 1 x?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -3. Suppose 8 = 5*s - v, 5*s - 3*v = -3 + 7. Let j be (-64)\/30 + 0 + s. Which is the nearest to l? (a) 0 (b) j (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2143 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/7, 517, 2, -24, -2?\nAnswer: 517","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2160 + 1414. Let f = b - -1276. Is 15 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, q: 4, g: 1, i: 2, l: 1}. What is prob of sequence gwql?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of 7*v**3\/6 - 3*v. Let h be s(3). Let y = 36 - h. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9383964 = -90*a + 1336836. Round a to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1400 and 19768?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20472 - -102359\/5. Which is the nearest to p? (a) 0.03 (b) -0.4 (c) -2\/9 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4965*o + 4961*o = 4*y + 40, 3*o = 4*y - 16 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**3 + 11*d**3 + 5*d**3.\nAnswer: 18*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 207?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(425\/714))\/((-25)\/125)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*x + 38*x - 20 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v - 165 = -102 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.28 + -0.08. Let q = 6.3 - 6. Which is the closest to -0.1? (a) q (b) 1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 7:24 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 6*c - i - 20 = 0, 146*i - 251*i + 102*i = c + 20 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5235)\/(-75) + (-1)\/(-5). What is the highest common divisor of r and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/(-8))\/(57\/228). Suppose 0 = 2*c - 10, -t*j + 0*c + 3183 = 3*c. Is 11 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -174 + 187. Solve -b + 3*b + 2 = -2*a, -4*a - u = b for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 174 - -10.3?\nAnswer: 184.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-2) - (-15)\/6. Let j(l) = l**3 - 2*l**2 + l + 2. What is the smallest common multiple of (-54)\/4*8\/(-6) and j(z)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/32 of a milligram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5087 - -9943. What is the thousands digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (94\/(-235))\/(12\/10).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 786\/937 > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*k - 26*k = -26*k + 154*k - 9396 for k.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 8 = -5*n - 7, 2*n - 4*y - 10 = 0. Let p = -2 - n. Let b = -2423\/5 - -487. Which is bigger: p or b?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/233524 and 51\/3950.\nAnswer: 5838100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 6*u**2 + 6. Let i be w(-6). Suppose f - i*f = -280. Suppose 4*k - b = f, -4*k - k - 3*b = -53. Is k a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(-3)\/(-2) - -1*2. What is the third derivative of -10*x**2 - x**2 - 17*x**k + 0 + 0 wrt x?\nAnswer: -1020*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.4, -20, -0.8, 4 in increasing order.\nAnswer: -20, -0.8, 0.1, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79.7757um to meters.\nAnswer: 0.0000797757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zv when two letters picked without replacement from {v: 3, p: 1, u: 1, y: 1, z: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195*r + 10315 = -34*r + 3875 for r.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -i + 8. Let y(x) = -x**3 + x**2 + 4*x - 4. Let j be 4 - (-2 + (-4 - -7)). Let g(z) = j*z - 1 + 0*z - 6*z + 4*z. Calculate i*g(q) - y(q).\nAnswer: q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6673556051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 8*n**2 + 16. Let t be 60\/(-140) - (-3)\/7. Suppose 6 = -t*b - 3*b, -19 = y + 4*b. Is w(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1265 in -192, -3\/2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282 is divided by 108.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -14 (b) 768 (c) -0.28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 1042*z**2 - 349*z**2 - 345*z**2 - 347*z**2 + 25*z + 0 - 3. Calculate v(-8).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {m: 3, t: 5, d: 1, l: 1, y: 3, b: 1}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 9*c**2 - 1. Let a(m) be the second derivative of m**5\/20 + m**4\/3 - 5*m**3\/6 + 2*m**2 - 2*m. Let s be a(-5). Is w(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29 and 328541?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j + 20. Let l be 5\/(-5) + 2 - -6. Let t be n(l). Solve -10 = t*k - k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 19781*s - 118697. Give v(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirteen quarters of a kilogram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180989111.\nAnswer: 5923, 30557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*(m**(-2\/9)\/m)\/m)\/m**11 assuming m is positive.\nAnswer: m**(-101\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 - -35 - (-1)\/(-14)*82?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -5. Let g(s) = 2*s**3 - 3*s**2 + 1. Let w = -1 + 3. Let v be g(w). Solve v = i*q + 30 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32262 + 32269. Suppose 2*l - 4*b + 6 = 0, 0 = -l - 2*l + b + 11. Solve 5*c - t = -m + 5*m, -l*m + 7 = -c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 13*h**2 - 28*h - 8. Suppose -28*j + 22*j + 90 = 0. Calculate the smallest common multiple of v(j) and 5.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 22*h - 37. Is 17 a factor of o(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 33.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of 0*o**2 + 5*o + 0*o**3 - 5 - 1\/4*o**4. What is the derivative of t(z) wrt z?\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 139*g - 16*g**4 - g**3 + 3*g**2 + 137*g - 5*g**3 + 7*g**3 to the form x*g + j*g**4 + d*g**3 + u*g**2 + s and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x + 7*x**3 + x**2 - x - 9 - 13*x**3 + 12*x**3 to g*x + c*x**2 + h*x**3 + t and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -44?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7552 or -18.47?\nAnswer: -7552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4096 and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -11. Let y(c) = -c**3 + 2*c**2 - 1. Let k be y(-1). Put t, 4, k in decreasing order.\nAnswer: t, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -123*r - 6. Let q be v(-4). Suppose 0*s - 3*s = q. Let g be (-36)\/s + (-266)\/(-18). What is the greatest common factor of 75 and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.983 to 1 decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 5*t**3 - 3*t**2 - 10*t - 14. Let z = 335 - 337. Let p be i(z). Is -47 < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of -a**7\/42 - 10*a**3\/3 - 12*a**2. Differentiate c(n) wrt n.\nAnswer: -20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20222 - -121?\nAnswer: 21120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (40 - 33) + 929 + 1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-1))\/((-2)\/1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.62 + -0.08. Let p = v + 6.7. Sort p, -22, -0.3 in ascending order.\nAnswer: -22, -0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -47*r - 1. What are the prime factors of j(-1)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 8 = 3*s + 26, 1 = l. What are the prime factors of 200 + 0 + (s - -7)?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 13 = 3*g, -g - 4*j + 3 = -2*j. Let o = g - 7. Solve 7*m = o*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 17*u**2 + 8120*u + 32819. Give j(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 - 44 - 75 = -7*l for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of -3*8*(9 + (-203)\/21) and 604?\nAnswer: 2416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -6*(sqrt(637) + -2*sqrt(637) + -5) + 2*sqrt(637) + 3 + 3 + sqrt(637) + 0)**2.\nAnswer: 5166*sqrt(13) + 53278","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 69\/(-5) - (-4)\/(-20). What is the smallest common multiple of 18 and (-21)\/s*(2 - 0)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 995720.585638 - 0.5.\nAnswer: 995720.085638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -282 = -5*c - 297 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 74 * 0.1\nAnswer: 7.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 348 is divided by (-979)\/178*140\/(-11)?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3 - 6474*x**2 + 12962*x + 19434.\nAnswer: -2*(x - 3)*(x + 1)*(x + 3239)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttottotttotttt. What is prob of picking 2 o?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 41*n**2 - 13*n**2 + 33*n**2 + (4 + 3 - 6)*(1 - 1 + n**2) - 17*n**2 + 5*n**2 - 3*n**2.\nAnswer: 47*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 563 + 52*p**3 - 563 - 156*p**3.\nAnswer: -104*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5a6 (base 15) to base 11\nAnswer: a65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.878, -1\/2, 15\/4.\nAnswer: -1\/2, 0.878, 15\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - (1 - 0 - -3). Suppose -15 = -v*p + 3*p. Let z(a) = a**3 + 7*a**2 + 5*a + 1. What is the tens digit of z(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15228*a + 7619*a + 7611*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) + sqrt(1331)*-4 + 0)**2 + (sqrt(1331) + (2 + sqrt(1331) - sqrt(1331)) - sqrt(1584)) + -4.\nAnswer: -sqrt(11) + 11977","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2124 and 180.\nAnswer: 10620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 23090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k + f - 2359, 5*k = -f + 6129 - 236. Let z = 1722 - k. Is z a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 46650128.9 to the nearest 1000000.\nAnswer: 47000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 + w. Suppose -5*y = -17 + 2. Suppose 2*m + 2 = 4*g, 2*g = m + y*m - 2. Let t be r(g). Which is greater: t or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 294 + -298. Let r = 108 + -67. Put r, f, -3 in decreasing order.\nAnswer: r, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4238246\/75 - 56509. What is the common denominator of h and 33\/4?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-25)\/(-35) - 1) + 191099\/(-126). Let a = -1522 - f. Calculate the common denominator of 67\/20 and a.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 83964009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -354*l + 89*l - 501*l.\nAnswer: -766*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*f**2 + 37*f + 38 + 13*f**2 - 32 - 6 as q + p*f + m*f**2 and give p.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3234.17cm to kilometers.\nAnswer: 0.0323417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1 + sqrt(63)))**2 + -2.\nAnswer: 24*sqrt(7) + 254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6649.181ml to litres.\nAnswer: 6.649181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.04, -864, 1, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 512968538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -10*v + 15*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (21 - -3 - 26).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -60 + 160. Is s a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 690116687?\nAnswer: 13, 59, 899761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -3*t**4\/5 - 102*t**3\/5 - 159*t**2\/5 + 8292*t\/5 + 8352\/5 = 0?\nAnswer: -29, -12, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 41489513 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: Rearrange (1 - 3 + 5)*(28*d - 61*d + 31*d + 27) to n*d + o and give o.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -k - 29, -229*k + 213 = -3*y - 238*k for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + m - 4*f = 60, -3*m - 66 = 2*f for m.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16451020633 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) -0.0325 (c) 0.4 (d) 9.1 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 144, 288, 434, 582, 732?\n\"Answer: c**2 + 141*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1366 > 1357?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + 2\/2)\/(-2). Suppose 0 = -l*o - o + 10. Suppose 4*h - 27 - 13 = 0. What is the highest common divisor of h and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-287 - -385) + (-1 - 35)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1110 (base 2) to base 7\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38.44 - 38. Let p = -0.34 + d. Which is the nearest to 0.1? (a) p (b) 1 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1849*k + 2 = -1847*k + 2*z, 13 = -5*k + z for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x + 144 = 15*x. What is f in 178*f - 46*f + 6*f + 318*f + 722*f**2 + x = 0?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 25 - 3*t + 520*t**3 - 4*t - 522*t**3 as o*t + w + b*t**2 + z*t**3 and give w.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -13*b**3 - b**2 - b + 1. Let u be l(1). Let s = u - -11. Suppose -3*w + 4*n = 24, 3*w - n = 4*w + 1. Which is greater: w or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ykkyyy. What is prob of sequence kyky?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36132152 (base 7) to base 9.\nAnswer: -6018325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2267911*r**3 - 77*r**2 + 162*r.\nAnswer: 13607466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 10*h**2 + 11*h + 16. What is k(-8)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/42495592 and 35\/97866?\nAnswer: 382460328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*a + 4. Suppose 2*d - 43 = -159. What is the remainder when a\/(-2) + d\/(-4) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 2\/3, 4, -15, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 18631214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vrg when three letters picked without replacement from rgrgvvbvrvbrbgrbgr?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/69 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35.75 - -34.65. Sort -0.3, -4, m, 0.22 in decreasing order.\nAnswer: 0.22, -0.3, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1367.3 - -0.16758?\nAnswer: 1367.46758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*r - 160 + 32 = 0 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*h = -16*h + 980 + 205 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - 37*w**2 - 26*w - 452. Let m be u(38). Solve 0 = -m*b + 3*v - 4, -3*b - 3*v = -5*v + 4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 115.7883s to microseconds.\nAnswer: 115788300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**12*g\/g**(-6)*g)\/(g\/(g\/((g\/g**(-1)*g)\/g))*g**(-7)))**(-42) assuming g is positive.\nAnswer: g**(-1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10293179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((0 + sqrt(18))**2 - (sqrt(242)*2)**2) - (sqrt(1024)*1)\/(sqrt(8) + sqrt(8) + sqrt(648)*1).\nAnswer: -951 - 8*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 189432569681\/2535 + -74726851. Let g = -344\/21 - -58094\/3549. Let i = f + g. Is 0.1 smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20306 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1354.78 from -0.3.\nAnswer: -1355.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 56920261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 64\/(-3 - -5) + 1. Suppose -c + 75 = 6*y. What is the second derivative of h**2 - h**2 + y*h + 13*h**5 + 3*h wrt h?\nAnswer: 260*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96142*p + 96162*p - 700 = 0. Calculate the remainder when 66 is divided by p.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 260 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 3047541.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -3*d**2 + 71400*d + 162246363 = 0.\nAnswer: -2089, 25889","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/10 and 127\/90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20.689 - -20.8. Let c = x - 0.611. What is the second smallest value in -0.2, c, -0.3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 4*s - 2160, -140 + 134 = 3*o. Is 540 at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 + -22. Suppose 3*c = -0*c - 6. Let k = f + c. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/4666 or -1?\nAnswer: 5\/4666","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35801 - -35801.1. What is the nearest to p in 0.1, 1023, 0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b - 59*b = 35*b - 117602171. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 781*x - 93. Is 19 a factor of k(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 9*d**2 - 12*d - 13. Let v be n(-1). Let w be 1\/2 - ((-1316)\/v)\/(-7). Put -0.1, 1, w in descending order.\nAnswer: 1, -0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -154*u - 3. Give j(1).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b50aa (base 12) in base 14?\nAnswer: -c900a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 126.9633537 + -215.963361. Let j = -309 + 220. Let d = u - j. What is d rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 4*i - i + 7*i - 15*i - 29*i - i + 0*i - i + (-4 - 1 + 2)*(0*i + 2*i - 3*i) + (3 - 3 - i)*(5 - 3 + 0) + 2 - 2 - 2*i + 2*i - 5*i + 4*i)*(0 - 4 + 0).\nAnswer: 148*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/407 and 21\/3404.\nAnswer: 37444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -3*h + 24. Let d(n) = n**3 - 24*n**2 + 27*n + 370. Let z be d(22). Put z, 0, h in ascending order.\nAnswer: h, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - (-5 - 4))\/(1\/3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a + 495*a**2 - a + 492*a**2 + 501*a**2 - 1493*a**2.\nAnswer: -5*a**2 - 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -191436 and -53386?\nAnswer: 138050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-5) - -22*(-4)\/(-20). Suppose r*t - 20 = k, t + 2*k = -2*t + 26. What is the greatest common divisor of 57 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + 10*s + 1. Let l be q(-10). What is the nearest to -1\/2 in l, 5, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*b**5 + 16731*b**4 - 4196346*b**3 + 25734081*b**2 - 38908566*b + 8184264 = 0. What is b?\nAnswer: 1\/4, 2, 4, 319, 1069","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) - sqrt(325)*1)**2 + 1 + ((sqrt(52)\/sqrt(4) + -4 - sqrt(13)) + -2*sqrt(13)*-3)**2.\nAnswer: -48*sqrt(13) + 485","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -104871 (base 9) to base 5.\nAnswer: -4001202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of q**10\/302400 + q**9\/120960 - q**5\/60 + 4*q**2. Let o(i) be the third derivative of f(i). Let o(w) = 0. What is w?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3573*f + 7203. What is d(-2)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 17*j**3 + 6*j**2 - 3*j + 1. What is the hundreds digit of h(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -13 (b) -2 (c) 3 (d) 16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218*u = 192*u + 238004. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - 13*f**2 + 20*f + 27. Suppose 0 = -16*o + 163 + 13. Give t(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g + 11. Let d be w(-6). Find the third derivative of -d*h**3 + 2*h - 2*h**2 + 3*h**2 - 2*h wrt h.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*n**4 + 560*n**3 + 21204*n**2 + 112024*n + 143648 = 0. Calculate n.\nAnswer: -67, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(176)*-1*2*-6*4 - (-1*(sqrt(176) + -1) - (5 + sqrt(176) + -2))))**2.\nAnswer: 800*sqrt(11) + 440004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 3920892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25892308?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 3*g + 3. Let u be v(-3). Suppose -4*w = -4*h + 36, 21 = 4*h - u*h + 3*w. Let b = -8 + h. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 divided by -1806.\nAnswer: 4\/301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36522 (base 9) to base 14.\nAnswer: -8cca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -10567, -42277, -95143, -169171, -264367, -380737, -518287, -677023?\n\"Answer: -v**3 - 10572*v**2 + 13*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -9. Let t = i + -2.1. Which is the third smallest value? (a) t (b) -3\/5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 101 - 313?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) - sqrt(175)\/(sqrt(15)\/sqrt(3)))\/(3*sqrt(1008)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 3 = 5*u. Suppose u*k - 24 = -q + 15, 0 = -k + 3*q + 30. What is the lowest common multiple of k and 3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 138481287 or 138481286?\nAnswer: 138481287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -141, -156, -179, -216, -273, -356, -471?\nAnswer: -624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p - 2*p + p)*(-15 + 8 + 27) + 2*p + 3 - 3 to the form h*p + d and give h.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 253 - 253 + 15*g + (-21*g + 47 - 47)*(7 - 3 - 2)*(-1 - 2 + 4) in the form y*g + p and give y.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/10)\/(576\/(-320))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, k: 2, y: 6, g: 3, e: 3}. What is prob of sequence kge?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3289 + 8*l - 3281 + 13148 - 3289 - 3289.\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 3 (b) 5\/6 (c) -221 (d) -0.5 (e) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4552520 + -2?\nAnswer: -4552522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -127, 5, -1\/2, 0.5 in descending order.\nAnswer: 5, 0.5, -0.1, -1\/2, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 17. Let q be 24\/9 - ((-8)\/p)\/(-2). Solve -2*d = q*d + 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6, 0, 48262.\nAnswer: -1, 0, 6, 48262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -114 + 114. Suppose x = 9*n + 7 - 25. Solve 0 = b + n*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 802*q + 770 = 780*q for q.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 2*h**4 - 14718*h**3 - 1637130*h**2 - 45187450*h = 0.\nAnswer: -55, 0, 7469","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-1\/5)*w)\/w**(5\/2)*((w*w**5)\/w)\/w*w**(2\/5)*w*(w*w**(-1\/3))**(-41\/5)\/(w*w*w**(-1\/9)*(w\/w**7)\/w) assuming w is positive.\nAnswer: w**(391\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/3 - 16\/33. Let z(r) = 0*r + 2 + 0*r - r. Let o be z(1). Are g and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -8 + 48. Let t(i) be the second derivative of p*i - 2*i**2 + 0 + 5\/6*i**3. Differentiate t(q) with respect to q.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 10*i**2 + 12*i - 2. Let n(v) = 2*v - 1. Let q be n(2). Suppose -15 = -q*u + 2*r + 22, 4*u + 3*r - 21 = 0. Is o(u) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by (15\/2)\/3*(7 + 1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -3*v**2 - 53*v - 112. What is the units digit of c(-15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6952.2 + -6952.5. Let o = -1.6 - -7.6. Let k = 10 - o. Which is the closest to -1? (a) -4 (b) k (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-15) + 848\/60. Let d(f) = -25*f + g*f + 10*f. Let a(o) = -o. What is a(d(j))?\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p. Let w be q(1). What are the prime factors of (1 - w) + (6 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*7 + (-15)\/360*-171?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11448507 divided by -19.\nAnswer: -602553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of 17*l - 37\/2*l**2 + 28. Differentiate r(g) with respect to g.\nAnswer: -37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of r**5\/80 + 11*r**4\/48 + 5*r**3\/3 + 6*r**2 - 15*r + 3. Suppose c(t) = 0. What is t?\nAnswer: -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1303504?\nAnswer: 2, 257, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/436 and ((-3)\/10)\/(654\/290*5)?\nAnswer: 2180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72 (base 8) to base 12.\nAnswer: 4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 7, -0.1, -2\/9, 43 in descending order.\nAnswer: 43, 7, -0.1, -2\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000151085 rounded to 5 dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 726348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - (98 + -37)) + (-4 - 2) + 3?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 - 8*z - 6. Let r be o(-7). Let h be (r - (-12)\/(-8))*0. Let s = 26 - h. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - 2\/(-2)*25. Suppose 0 = 2*j - i - 51, -2*j + d = i - 18. Does 6 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 245962347*r**3*t**3 + 24215*r**3*t**2 + 6247*t**2 wrt t.\nAnswer: 1475774082*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -159 at least -158?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -108 - -2232. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 o when two letters picked without replacement from oogoogooooo.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -3. Suppose 0*c = -2*c + j. Suppose -c*k + 3*k - s - 16 = 0, -3*s - 36 = -2*k. Solve -5*i - k = 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-6))\/((-13)\/(-104)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 329 and 188?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 6 (b) 7 (c) -0.5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 243, 269, 291, 309, 323?\nAnswer: 333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33298 - 33296. Which is the smallest value? (a) 2\/11167 (b) h (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31093 - -90914. Is o a multiple of 367?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 3*p - 5 = 34, -4*q = 2*p - 46. Calculate the common denominator of (1\/5)\/(108\/(-790)) and 8 - q\/((-576)\/(-140)).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1734329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, v: 2, e: 1, w: 11}. Give prob of picking 1 a, 1 v, and 1 w.\nAnswer: 22\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 252.69452 and -0.2?\nAnswer: 252.89452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.015 in 5, -0.1, 2, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**20\/b)\/b)**2\/((b**(-32)\/b*b)\/b**(1\/3)) assuming b is positive.\nAnswer: b**(205\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j + 11. Let v = 38 - 40. Let m(z) = -8*z**3 - 3*z**2 - 3*z + 1. What is the remainder when m(v) is divided by i(-20)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23936 or -23937?\nAnswer: -23937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 524 = -88*z + 1668 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 5*c + 133, -3*n - 2*c - 2*c + 92 = 0. Suppose 2*f + 12 - 38 = 0. What is the remainder when n is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(170) - -2*sqrt(170)) - (sqrt(170) - (1*sqrt(170)*2 - sqrt(170))))\/(-2*sqrt(1000) - (sqrt(10) - (sqrt(30)\/sqrt(3) + sqrt(10) + sqrt(10)))*-2).\nAnswer: -3*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -v - 5. Let b(a) = 4*a - 6. Let h(d) = -d**3 - 4*d**2 - d. Let r be h(-4). Calculate the least common multiple of v and b(r).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.884 + -0.116. What is the biggest value in o, 2\/11, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 213.7013 - 214.61. Let x = b + 0.93. Let y = 0.024 - x. Round y to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.9291 and 68.\nAnswer: 67.0709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1488 >= -0.000055?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 217 and 43183.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -3*i - 9. Suppose -482*v + 497*v = 135. Does 16 divide (-2)\/((v\/(-96))\/i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 896416000 to the nearest 1000000.\nAnswer: 896000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -7*x - 1. Let a(y) = 3*y. Let q(f) = 5*a(f) + 2*t(f). Let i(s) = 1. Determine 7*i(j) + 3*q(j).\nAnswer: 3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -231*g**2 - 1347*g + 216. Calculate r(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 10. Suppose 2 = f, 0 = 4*x - 3*f + 4*f - 10. Calculate the greatest common divisor of x and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i + 3. Let s be k(-3). Let r be (s - 4)*20\/(-16). Suppose 2*n - 58 = -3*p, -r*p = -0*n + n - 99. Is p a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 3*f + 4 - 1 = 0, f = -142 + 144 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 2*h + 3. Let c(q) = -1. Let d(f) = f**2 + 9*f + 8. Let b be d(-8). Let x be 14*1*(2\/4 - b). Let a = x - 11. Calculate a*c(j) - u(j).\nAnswer: -j**2 + 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/96 and 93\/4.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) -1 (c) 0.02 (d) 0 (e) -22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 1 = -7, -5*r - 3*d + 69 = 0. Let s be -2 + 3 + (6 - -69). Suppose -4*x - s = -4*w - 16, r = w + 5*x. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6222772.4 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -3*x**2 - x - 16. Let b(v) be the first derivative of -v**3\/3 + v + 44. Let h(n) = 2*b(n) - d(n). Is 18 a factor of h(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 445125, 445126, 445127?\n\"Answer: r + 445124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1449, 1748, 2047, 2346, 2645?\n\"Answer: 299*u + 1150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -10, 27 + 13 = 4*b - 2*z. Suppose 2*q - b = 13. Suppose 0 = q*o - 8*o - 5541. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3*s + 0*s + 36 = 0, 2*n - 9 = 3*s. Solve 4*g - 5 = 5*z - 17, -5*z + 3*g = -n for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 809 divided by -3776.\nAnswer: -809\/3776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**2 + 9*s - 15. Let c be i(-16). Suppose -8*o + c = -287. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -819573, -819575, -819577, -819579, -819581?\n\"Answer: -2*q - 819571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -728 - -12?\nAnswer: -716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1170\/61? (a) 0 (b) 0.5 (c) 3\/10 (d) -1\/59\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87986839?\nAnswer: 87986839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - -1)*(-5)\/(60\/(-42)). Let r = -16 - z. Let k be 52\/9 - (2 + 20\/r). Let t(d) = -d + 8. Determine t(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -5*k**3 + 3*k**2 + 4*k + 2. Let i be a(-2). Let z = -64 + i. Let s be (-1*1)\/(6\/z). Solve -3*m - g = -1 + 12, s*m + 31 = -5*g for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10180 or 10188?\nAnswer: 10180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-552)\/(-368)*(87\/9)\/((-32)\/192)\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 5:19 PM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 379313048901 + 0.72?\nAnswer: 379313048901.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of q**7\/273 - 4*q**6\/39 - 21*q**5\/130 + 195*q - 26. Factor j(u).\nAnswer: 2*u**3*(u - 21)*(u + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 0.3, 11, -1\/123 in increasing order.\nAnswer: -5, -1\/123, 0.3, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-10))\/(5\/(-6)). Let x be (2\/2)\/((-1)\/((-14)\/(-1400))). Let y = u - x. Which is the second biggest value? (a) y (b) 0 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226 = 5*v - 266 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = -4*n + 3*z, 76 = 2*n + 5*z + 99 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 82 + 2\/(-4)*-6. Let o = v - 61. Let d(l) = 2*l - 5. Let f be d(4). Calculate the greatest common factor of o and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssqqslqlqlsqssssqq. What is prob of sequence qs?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24794?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*n - 0, 5*g - 4*n + 18 = 0. Let i(k) be the first derivative of -3*k**2 + 10*k + 62. Is i(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-217 - (-496 - -227)) + 35 + -1?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 0 - (22 + -24 + -9).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 27, 5872, 1, 4, 3, -2.\nAnswer: -2, 1, 3, 4, 5, 27, 5872","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 k, 1 i, and 1 o when four letters picked without replacement from uuunnokkuonouoknnkni?\nAnswer: 32\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4 = 2*a. Solve 2*c + 8 = -j, -3*c - 3 = -a*c for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 13224235, 13224279, 13224323?\n\"Answer: 44*h + 13224191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*h**4\/13 - 2*h**3\/13 - 28*h**2\/13 - 16*h\/13 = 0. What is h?\nAnswer: -1, -4\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1121 (base 3) to base 7.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 29*l**3 - l**2 - l + 1. Let x = -2786 - -2802. What is the lowest common multiple of s(1) and x?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 70 - 59. Suppose -3*p = 4*h + f, 4*p - 2*h - h = 27. Suppose -4*b + 0*s + 187 = -5*s, -p*b + 123 = 2*s. Does 10 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.37 * 1.31129.\nAnswer: -3.1077573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.16 * 8131\nAnswer: -1300.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 j, and 1 y when three letters picked without replacement from qajqhqkqqjjqjjjjyqjj?\nAnswer: 21\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2371*g - 566105. Give l(239).\nAnswer: 564","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z = -5*z - 70. Does 7 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110140 (base 5) to base 11\nAnswer: -2940","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of -h**7\/1365 - h**6\/260 + 2*h**5\/195 + h**4\/13 - 140*h**2. What is k in l(k) = 0?\nAnswer: -3, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.6462 to 1 decimal place.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-12))\/(3 - 12\/(-9)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 215 + -121. Let a = s + -90. Is 23\/6 != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/s**(2\/5))\/s)\/s)**44\/((s**2*s)\/s*s)**(-25))**(-1\/7) assuming s is positive.\nAnswer: s**(-67\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -8816 (base 11) in base 3?\nAnswer: -120221212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 365731799.\nAnswer: 1949, 187651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**3 + 0*d**3 - 4*d**3 + ((4 + 0 - 2)*(-2*d - 5 + 5) + 2*d + 3 - 3)*(23 - 14*d**2 - 23) + 3*d**3 + 3*d - 3*d.\nAnswer: 28*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 14*x + 46. Calculate q(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -102e - 15?\nAnswer: -1043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 510.169 years in decades?\nAnswer: 51.0169","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 169255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2.93584 - 312700012\nAnswer: -312700014.93584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1078 - -1283. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, g: 1, r: 4, d: 3, j: 2, z: 1}. What is prob of picking 1 r and 1 d?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -3\/108749632?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = x - 7. Let k = x + -3. Let u = 13 - 25\/2. What is the closest to 0 in u, k, -4\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dpq when three letters picked without replacement from kpkkqtzdzzp.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 9 = 4*h + 27, v = -5*h - 18. Is (-12)\/(-48) + (-555)\/h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38*c**5 - 2*c**2*v + 35*c*v - 1 wrt c.\nAnswer: 760*c**3 - 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -23*(-17)\/10557*954*(-3)\/(-2)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = 6*t + 24. Let j be (5\/(-15))\/((-2)\/t). Suppose -4*l + j*n = 4, l + l - 4*n + 4 = 0. What is the second biggest value in l, -0.3, -0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 19027, -9\/5?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + (-12)\/(-9))*-24. Let l be (2 + (-27)\/12)*j\/20. Sort l, -6\/23, -5, 2\/7 in decreasing order.\nAnswer: 2\/7, l, -6\/23, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2. Let c = -1329 + 4182. Let h = c - 1988. Let m(n) = -1 - h*n + 900*n + 2. Calculate k(m(u)).\nAnswer: -1225*u**2 - 70*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -48 - (47 + -77 + -15)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 150461120.0000017 + -150461144. Let j = 23.964 + 0.036. Let k = a + j. What is k rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/66*18*(-4)\/6.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -11357 - 0\nAnswer: -11357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -480.2 + 480. Which is the closest to -3? (a) v (b) -4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*a**3 - 2*a**4 + 3 + 7*a**3 - 16*a**2 + 7*a**2 to the form t*a + v*a**4 + j + y*a**2 + s*a**3 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -382*o - 19 = -2*i + 390*o - 775*o, 4*o = 8*i + 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -11. Suppose o - s = -2*o. What is the smallest common multiple of o and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641.28403 plus 198.79?\nAnswer: 840.07403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 22*z**2 + 52*z - 95. Let q be n(-19). Put q, -10, 3, -2 in descending order.\nAnswer: 3, q, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64, -190, -376, -622, -928?\nAnswer: -1294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) + (sqrt(152) - (sqrt(152) - 2*sqrt(152)))*4)\/(sqrt(8) + -5*sqrt(16)\/sqrt(2)).\nAnswer: -9*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 - (-9 + 4 + 3). Let a be ((-1)\/l)\/(80\/144). Let u be (-11)\/7*1 - -2. Put u, a, 1 in descending order.\nAnswer: 1, a, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3296?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -760*z**2 + 1518*z**2 + 10062*z**3 - 10052*z**3 - 758*z**2.\nAnswer: 10*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -9024300 rounded to the nearest one hundred thousand?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/30 of a week?\nAnswer: 336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47461357?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20685\/2 - 10342. Suppose -4*u + 5*u = 13. Suppose 38 - u = 5*s. Which is the closest to -2? (a) s (b) r (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -2*d**3\/3 + 7*d**2 - 12*d - 7. Determine s so that a(s) = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 5*r**2. Let z(y) = 4*y**2. Determine z(w(l)).\nAnswer: 100*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 451.7 - -0.3. Let g = -452 + y. Which is the closest to g? (a) -42 (b) -0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-510)\/(-25) + 4\/(-10) and 6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 14267*z. Is y(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17\/6, 2, -0.3, 6\/17, -0.4 in increasing order.\nAnswer: -0.4, -0.3, 6\/17, 2, 17\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u*u**0)\/u*u))**(-33)*(u*u**0)\/u**(-4) assuming u is positive.\nAnswer: u**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2231 - 2223. What is the nearest to c in -2, 0.5, 150?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1093 < -1730?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + i**2 - i - 130. Let c be j(0). Let w = c + 221. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + g = 291, 104 = v + 5*g - 179. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 7*n + 4*n - 3*n**2 + n)*(1 - 3 + 1)*(3 - 3*n - 3).\nAnswer: -9*n**3 - 6*n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -4*a + 23, 3 = -3*a + 2*a. Let o(g) = 5*g**2 - 6. Let r(t) = -5*t**2 - 6*t**2 + 7 + 5*t**2. What is i*o(m) + 6*r(m)?\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**0*x)**24*(x**(-1)*x)\/(x\/x**(2\/19)) assuming x is positive.\nAnswer: x**(895\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.048438 - 6.048078. Let c = u + 6. Round c to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6, -29, -50, -69?\n\"Answer: u**2 - 26*u + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 - 494*a**2 - 55608*a.\nAnswer: 2*a*(a - 331)*(a + 84)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 135, 547, 1239, 2217, 3487, 5055?\n\"Answer: i**3 + 134*i**2 + 3*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 750 - 761. Let h = 542 + -559. Which is greater: h or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o**2 + 23*o. Let i(l) = 6*l**2. Calculate z(i(q)).\nAnswer: -72*q**4 + 138*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 8 = 0, 2*w - 3*w + 10 = -4*j. Is 53 - j\/(6\/4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 630\/90*-1*1\/(-3)\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (-430)\/(-220)*-4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/((2*sqrt(132))\/sqrt(12))*5)\/(sqrt(720) + sqrt(720)*-2*4 - sqrt(720)*-1*3)*-1.\nAnswer: 5*sqrt(2)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -49*x - 197. What are the prime factors of h(-7)?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h + h**3 - h)*(5*h + 5 - 44 - 7*h) to m*h**2 + g*h + r + j*h**4 + n*h**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 122470348?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2177103944 to the power of 1\/2, to the nearest integer?\nAnswer: 46659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1257300 rounded to the nearest ten thousand?\nAnswer: 1260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000101 + -11100010?\nAnswer: -110100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 + 0 + -25 - (1 + 6 - 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 26\/7 + (-6)\/(-21). Let l(y) = y**3 - y**2 + y - 2. Let w be l(2). Find the second derivative of -2*q - 4*q**w + 4*q**3 - s*q**3 wrt q.\nAnswer: -48*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/4)\/(11960\/1408 + -7 + 46\/(-253))?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + -7 + (157 - (64 + 7))?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46441359, -46441364, -46441371, -46441380, -46441391, -46441404?\nAnswer: -46441419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1310917 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -932, -2087, -4018, -6725, -10208?\n\"Answer: -388*r**2 + 9*r - 553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 8 + -16 + 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a day in hours?\nAnswer: 78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3191117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.02 - -0.08. Let f = u - -15.4. Round f to the nearest integer.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 603?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-1\/4)*c)**(-4)*((c\/(c*c**0))\/c)**(1\/6) assuming c is positive.\nAnswer: c**(-43\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.04286 from -0.6.\nAnswer: -0.55714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 164029303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(8\/36)\/((-12)\/18)*6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -86 (b) 2\/15 (c) -0.1 (d) 691 (e) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.12 (b) 2\/11 (c) -2\/3 (d) 7 (e) -102\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -198*r**2*z + 7*r**2 + 4*r*z - 73648*z wrt r?\nAnswer: -396*r*z + 14*r + 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5949, 6004, 6059, 6114?\nAnswer: 6169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 277 - 299. Let n(y) be the third derivative of -y**4\/24 - y**3\/2 + 11*y**2. Let v(q) = -3*q - 11. Calculate a*n(k) + 6*v(k).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**5*(c\/c**7)\/c*c\/(c**(-2\/3)\/c)*c\/(c\/(c*c**(3\/2))) assuming c is positive.\nAnswer: c**(19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 54*q - 23. Let i be y(-3). Let u = -199 - i. What is u rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l - 1. Suppose z = -2*f + 4*z, -28 = -2*f - 4*z. Let k be t(f). Suppose -5*v = k*m + 45, 0 = -7*v + 2*v - 20. Is -0.1 at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33635 - 3662051779.\nAnswer: -3662018144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2*d = 11 + 17, 20 = 2*y - 3*d. Suppose o - 5*n - 20 = -3, 0 = -y*o - 3*n - 24. What is the remainder when 20 is divided by (11\/(-3)*o)\/1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 31942 and 4196.\nAnswer: 67014316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 111 (b) -0.1 (c) -19 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 2\/51 (c) 190 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -5*w**2. Let p(b) be the second derivative of -86*b**3 - 27*b - 17. Determine q(p(y)).\nAnswer: -1331280*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/1*((-392)\/9016)\/(6\/(-46)).\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 715\/72 + -115\/8. Calculate the common denominator of k and -57\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence attg when four letters picked without replacement from tggtthtgat?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4ba16 (base 16) to base 7\nAnswer: 2430104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + -1 - -2) + -8 + 1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 13*n**2 - 22*n. Let l be z(-11). Solve l*c + c = -1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123145 to the power of 1\/2, to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j**3 + 2*j**2 - 17*j. Let i(f) = -7*f**3 - 5*f**2 + 30*f. Give -2*i(n) - 5*s(n).\nAnswer: -n**3 + 25*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6002828 + 16931*o - 6002828)*(-3*o + 3*o - 2*o).\nAnswer: -33862*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-35)\/(-14) + -7)\/6. Which is the second smallest value? (a) -4 (b) y (c) 1\/3 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - 7*y - 556. Calculate x(27).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 396*j**2 - 29*j - 223. Is b(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 4*o = 61, -985*o - 282 = 3*c - 952*o for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 57\/(-38)*(-8)\/6*96 and 480.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, 6, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*n = 534, 5*v - 797*n - 804*n + 1600*n = 6 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -54*x**2 + 4 - 4 + 22*x**2 + 26*x**2. Let k(q) = q**2 - 4*q. Let h(r) = -r. Let d(a) = -4*h(a) + k(a). Give -11*d(z) - 2*s(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*c - 2201 = 799 for c.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -106*g + 5027. Determine c(48).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + (-14 - (20 + -16)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 15) to base 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1744, -0.3, 3, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 172650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n - 2*n**5 - 3*n + 8*n**5 + 5 - 5 + (3 + 1 - 2)*(4*n**4 - n**5 - 4*n**4).\nAnswer: 4*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of y**4\/12 + 2*y**3\/3 + 22*y**2. Suppose 3*k + 4 = -2. Let b be a(k). Solve b = 5*r + 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 34086?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8470612 litres to millilitres.\nAnswer: 847.0612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118 = 2*i + 70. Let q = i + 232. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -5. Suppose r - 8 = -p*r. Suppose 0 = -4*k + z + 360, r*z - 53 = -3*k + 206. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11975.9 + 11163. Let b = a + 780. Let m = 33 + b. Which is smaller: m or 2\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1589 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 + 29*h**2 - 30 + 65 - 5263*h - 27*h**2.\nAnswer: 2*h**2 - 5263*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (23 + -17 + (-374)\/2)*-251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 3*i**3 - 15*i**2 + 1237*i - 7583. What is f(6)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 218.199231ns in days?\nAnswer: 0.0000000000025254540625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 0 + 10 = 0. Let u(h) = r + h + 2 + h**2 + 0*h - 2*h**2. Give u(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5097*k**2 + 4610 wrt k.\nAnswer: 10194*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of 124*f**3 + 276*f**2 + 1024*f. Find the first derivative of g(y) wrt y.\nAnswer: 744","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 12:41 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = -a - 3*o + 154, -4*o + 644 = 2*a. Solve -7*x = -294 + a for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7344 = -1491665*s + 1491611*s for s.\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5\/2, 3, 0.1, 4\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -7 (b) -0.2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 2*u**2 + 2*u - 66. Calculate j(7).\nAnswer: -493","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3990.9993 + -3992. Let n = c - -1. What is n rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 40 + 11 = 5*m, 17 = -5*m + s for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 285080, 570096, 855056, 1139960, 1424808?\nAnswer: 1709600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/713848 and 51\/20?\nAnswer: 3569240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/12 + 3)\/((-1218)\/1856).\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 17 and 20 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 72 - (-6 + 0 + 3). Suppose p = -10*r + 15*r. Let y = 3 + 5. Calculate the remainder when r is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - 3*m**2 + 26*m - 16. Let w be s(-7). Let o(k) = -k**2 + k + 2. Let h(v) = 5*v**2 - 5*v - 11. Give w*h(i) - 11*o(i).\nAnswer: i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 257 - 1853*l + 464 - l**2 + 937*l + 919*l as u*l**2 + o + v*l and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k\/k**(-2\/7)))\/k)\/(k\/((k\/(k*k**(2\/13)))\/k)))**(32\/5) assuming k is positive.\nAnswer: k**(-10016\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-10))\/(((-4050)\/(-125))\/27).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0\/(-2))\/((-34)\/(289\/(-17))))\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-4) + (-189)\/2 + 3. Let k = -83 - y. What is the lowest common multiple of k and 30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.6 - 6. Let k(f) = f**2 - 155*f - 5981. Let d be k(-32). Let l = 0.3 + -0.4. Sort d, l, q.\nAnswer: q, l, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 225 (b) 0.1423 (c) 1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -20*w**2. Let x(l) be the second derivative of -73*l**4\/12 + 2*l + 74. Give m(x(z)).\nAnswer: -106580*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 102766 - 61283. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 p when three letters picked without replacement from yypjjyhhpyhhpyyyph?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r\/r**(-2\/5)))**46*(r**(1\/5))**(-8\/9) assuming r is positive.\nAnswer: r**(1234\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u - 10. Let p(m) = 5*m - 19. Determine -7*f(g) + 3*p(g).\nAnswer: g + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 6) in base 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*r = 50*r + 6. Calculate the lowest common multiple of r and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45336 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 7*d**2 + 2061*d + 52857. Calculate h(-266).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -9*i**5\/20 - 2*i**3\/3 + 56*i**2 - 147*i. Find the first derivative of m(x) wrt x.\nAnswer: -27*x**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 0 - 30 = 2*l, 23 = -2*r - 2*l - 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 y when four letters picked without replacement from yyyyyyyyyyyyayy?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7051 + 9215. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**5\/3 + 4*y**3\/3.\nAnswer: -y**3*(y - 2)*(y + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 4 (b) -0.4 (c) -1 (d) -4 (e) -0.203 (f) -0.1 (g) 257\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-89 - 18 - 66)*(14*h - 11*h - 35*h) to o*h + w and give o.\nAnswer: 5536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 469402 to the power of 1\/2, to the nearest integer?\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 58\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*o - 351 - 314. Is 12 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 984, 928, 842, 732, 604, 464, 318?\nAnswer: 172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*z - 21*z + 6. Sort 12, z, -4.\nAnswer: -4, z, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -35*w**3 - 30*w**2 - 140*w - 183. What is g(-2)?\nAnswer: 257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 14. Let t = -26468\/11 + 2408. Is t <= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, m: 4}. What is prob of sequence mm?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u = -14*u. Suppose 0 = i - u*i - 5. Suppose -6*j - q = -2*j - 45, 54 = 5*j + 2*q. Solve 4*d - j = 4*m, 19 = -2*d - 4*m - i for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4\/1735 + -6274\/12145. Let t = 813\/560 + m. What is the common denominator of -87\/4 and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(1\/14)\/d*d*d*(d*d**(-22)*d)\/d assuming d is positive.\nAnswer: d**(-279\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -61*o**3 - 15*o**2 - 26*o - 3. Is 69 a factor of f(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 2*r**2 - 2*r. Let w be y(-2). Solve l = 5 - w for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 n when two letters picked without replacement from {q: 2, v: 4, n: 3, f: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i + 18*i + 2*i + 15*i.\nAnswer: 32*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -1004664?\nAnswer: -5\/1004664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 3*u - 8*u + 55, 3*m - 129 = -3*u. What is the greatest common factor of m and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k = 4*k + 10. Suppose 0 = x - 1, -2*d + 6 = 5*x - 3. Let u = d - -2. Which is the smallest value? (a) k (b) u (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 5*r - 21006, 0*r + 5*z = -3*r + 12616. Suppose 978 + r = 4*n. Suppose 9*w - n = 4*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/1786935?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5659, -11325, -16989, -22651, -28311?\nAnswer: -33969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 32112303122 (base 4) in base 9?\nAnswer: 7065385","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**3 - 55*i**2 - 160*i - 140.\nAnswer: -5*(i + 2)**2*(i + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 282339211.\nAnswer: 7, 11, 3666743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*l - l**2 + 7*l)*(-4 + 2 - 2)*(-1 - 1 - 2) to the form j*l**2 + p*l + t and give j.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 = -3*z - 334. Let h = 83 + z. Let k(n) = 33*n**2 - n + 1. What is the remainder when k(1) is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*f**4 + 8006228*f**2 + 9330981*f?\nAnswer: -36*f**2 + 16012456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14723 is divided by 1840?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 PM and 10:24 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/(-36) + (-3830585)\/(-66) + -6?\nAnswer: 131, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 50*z**2 - 102*z - 15. Calculate the remainder when 248 is divided by q(52).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-21)\/(-49)*8\/(-108)*3.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 27\/3 + -12?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6111, -9412, -12713?\nAnswer: -16014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 329\/105 - 3 - 2\/15. Suppose 2*f + b*f = 100. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16179 - -2268?\nAnswer: -13b11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 12:15 PM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -2*f**2 + 5\/12*f**4 + 1\/20*f**5 - 5\/6*f**3 - 2*f + 0. What is the tens digit of t(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 630015 - 625553 = 194*p for p.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -13 + (4 - 3)*-2. Let b(m) = m**2 + 11*m + 2. What is the tens digit of b(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/18*-7*2)\/(8\/2).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(2\/9)*s)\/s*s*s**(2\/17))\/(s**(-15\/7)\/(s\/(s\/s**6))) assuming s is positive.\nAnswer: s**(11227\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 + 16770*b - 50283.\nAnswer: -3*(b - 5587)*(b - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -g**5\/60 - g**3\/6 + 4*g. Let x(z) be the second derivative of r(z). Let u(s) = s. Give u(x(f)).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5632496 divided by 244?\nAnswer: -23084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 = 6*v - 93 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 11:51 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 415923428 to the power of 1\/3, to the nearest integer?\nAnswer: 746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -909, -1821, -2733?\n\"Answer: -912*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + 1)\/(2\/2). Let z = 174 + -93. Let g = 569\/7 - z. Which is smaller: g or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4120*a**3 + 5622*a**2 + 9*a - 5622*a**2.\nAnswer: -4120*a**3 + 9*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of 5*p**4\/6 - 3*p**3\/2 - 6*p. What is the second derivative of w(r) wrt r?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 13. Determine o so that 14 - 16*o + 133*o**k - 68*o**2 - 63*o**2 = 0.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -0.008, 33?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/163072 and 85\/28028.\nAnswer: 1793792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (109\/(-220))\/((-9)\/(-24)) - (11368\/435 - 26)\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21807.\nAnswer: 3, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - b = 783, p + 2*p = -5*b + 453. Let j = p + -21. Does 18 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 352 = -4*t. Suppose -5*x - t = -4*q, -5*q = 2*x - 160 + 50. What is the highest common factor of 1 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-2\/9)*j)**(-35)\/((j*((j**(-1\/11)\/j)\/j)\/j)\/(((j\/(j*j**(-4\/11)))\/j*j)\/j)) assuming j is positive.\nAnswer: j**(-6016\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58282*0.53.\nAnswer: 30889.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 4*j**3 - 2*j**2 - j + 2. Is s(3) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 8) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -841 = 67*p - 238 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43 + 77. Let p = 57 - s. Let l = 18 + p. List the prime factors of l.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10.255 - -10.017. Put 0.3, -0.3, t in decreasing order.\nAnswer: 0.3, t, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + m**2)*(3 - 3 + m) + (0 + 0 + m)*(2 - 2 - 2)*(23*m**2 - 53*m**2 - 15*m**2).\nAnswer: 91*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(13) - (sqrt(13)*1)**2) + 1 + sqrt(143)\/(sqrt(11) - sqrt(88)\/sqrt(2)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*s = -34*s - 72 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 6*b**2 - 6*b - 5. Let z be j(7). Suppose -r + 22 = -z*d, -2*r + 0*d + 32 = -d. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (4 - ((5 - 0) + -3))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43\/7*j + 41\/7*j**2 + 2\/7 = 0. What is j?\nAnswer: 2\/41, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11227 - -11278. What is the highest common factor of q and 3145?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*z**3 - 47*z**3 - 2600*z + 2600*z.\nAnswer: -33*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 2*c + 10 = 0, -234 + 238 = 2*j - 4*c for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 341.284 and 7846.\nAnswer: 8187.284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2178)\/(-63))\/22 + (-13392)\/4032.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 56610?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -16.65898858 and -0.04.\nAnswer: -16.69898858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*n**3*z**2 - 25*n**3 - 2*n**2 + 598*z**2 - z wrt n.\nAnswer: 84*z**2 - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.11 - -4.89. Put v, -1\/40, -0.1, -2\/7 in ascending order.\nAnswer: -2\/7, -0.1, -1\/40, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.04 and 99.5.\nAnswer: 99.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j. Suppose 2*w - 20 = 3*d, -4*w + 9*w + 5*d = 0. Let x(c) be the third derivative of 3*c**2 + 0*c**3 + 0*c + 0 + 0*c**w - 1\/60*c**5. Give y(x(s)).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b**2 - 42*b - 123. Let l(j) = -8*j**3 - j**2 - 5*j - 5. What is the remainder when i(21) is divided by l(-2)?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.43 - -37?\nAnswer: 20.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-18)\/(-4 - -2) - 0. Let y = q + -7. Suppose y*h - 28 = -0*h. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 17, -5 in ascending order.\nAnswer: -5, 3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**5 - 42*a**4 - 96*a**3.\nAnswer: 3*a**3*(a - 16)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n - 3*n + 2*n + n**3)*(-1 + 0 + 4).\nAnswer: 3*n**3 - 12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -1. Let v(u) = 3*u - 2. Let y(z) = 6*i(z) - v(z). Let b(x) = 2*x + 4. Determine -4*b(k) - 3*y(k).\nAnswer: k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 1173*v - 107. Let h(u) = u - 15. What is f(d) - 7*h(d)?\nAnswer: 1166*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -130*v + 79. What are the prime factors of j(-32)?\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -194 - -79. Suppose -4*q - q = -605. Let n = f + q. Solve g = n*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 347135.4 and -0.8.\nAnswer: 347134.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*v**3 + 103740*v**2 - v + 226195?\nAnswer: 9*v**2 + 207480*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 4425*v**2 + 71*v - 13. Let m(d) = 1106*d**2 + 16*d - 3. What is -2*c(h) + 9*m(h)?\nAnswer: 1104*h**2 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15286650 to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 29286998 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/101 > 0.03?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 144554*u + 8239568. Give k(-57).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.32, -0.3, 0.3, -4\/75, 2\/3, 135, -6?\nAnswer: -4\/75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 9) to base 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 r when three letters picked without replacement from {u: 1, k: 6, o: 5, r: 6}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3 + 168785778*z**2 - 2374053069136320*z - 4748106813415776.\nAnswer: -3*(z - 28130964)**2*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*(28\/(-8) + 3). Let i be (2\/6)\/(w\/54). Let d = -10 + i. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -451240 - 6?\nAnswer: -451246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52680076?\nAnswer: 2, 17, 199, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 + (-19 + 56 - 76)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/33)\/y)\/((y**10\/y)\/y) assuming y is positive.\nAnswer: y**(-299\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1142*f*h**2 - 235*f*h - 4*f + 31*h**3 - 2*h - 1 wrt h?\nAnswer: 2284*f + 186*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1*169\/(-65) + 5370\/1950\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17650?\nAnswer: 2, 5, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(2\/5)*u*(u\/(u*u**(-15)\/u)*u)\/u)**(2\/15) assuming u is positive.\nAnswer: u**(176\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-1)\/(-4)*(-40)\/(-45).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18680584 and 83148.\nAnswer: 56041752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -52565795960943 take away -5?\nAnswer: -52565795960938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 695772 - -598121. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*q - 5. Let b = 32\/3 + q. Factor -b*s**3 - 2*s**2 + 0*s + 8\/3.\nAnswer: -2*(s - 1)*(s + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(57) + sqrt(8208)*-2)\/(2*sqrt(3)*-1))**2.\nAnswer: 10051\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (20\/8 - 4)*-44. Suppose 0*r - 4*m = -2*r + 42, s = 4*r - 2*m. List the prime factors of r + -14 - (-54 + (2 - 1)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**3 - 9*r**2 - 4*r - 2. Let x(y) = -7*y**3 + 25*y**2 + 11*y + 5. Let b(l) = 17*g(l) + 6*x(l). Let d = -8 + 5. Is b(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 8*m**3 - 2*m**2 + m. Suppose -r = q + 9, 0*q + 3*q = -9. Let v(p) = p**3 + 7*p**2 + 4*p - 8. Calculate the remainder when j(1) is divided by v(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5933 - 5729. What is the highest common divisor of y and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2146437821?\nAnswer: 11, 37, 79, 241, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1109484 divided by 18?\nAnswer: -61638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (33\/(-22))\/((-2)\/(-2))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k**2 + 4*k**2 + 3*k**2.\nAnswer: 13*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**3 - 3*i**2 + 8*i - 5. Let h(l) = 5*l - 3 + 2*l**2 - l**3 - 4*l**2 + 2*l**3 - 2*l**3. Give 8*h(y) - 5*w(y).\nAnswer: 2*y**3 - y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-44)*k**(-12))\/(((k**(2\/15)*k)\/k)\/k**(-8)) assuming k is positive.\nAnswer: k**(-962\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 78 + -72. Let v be -1 + j - 406\/84. What is g in v*g**3 + 0*g + 0*g**2 + 0 = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -603, -2424, -5465, -9726, -15207, -21908?\nAnswer: -29829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 1. Let f(s) = s**3 - s. Let b(w) = -f(w) - 2*t(w). Let y be b(0). Suppose 2*p + y = 4*p. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 410*c - 293*c + 0 + 17*c.\nAnswer: -686*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/126 and -13\/8.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 66, 497, 1670, 3957, 7730?\n\"Answer: 62*b**3 - b**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 11*k**2 - 9*k + 5. Suppose 3*o - 39 = -0*o + 4*z, -5*z - 15 = 0. Let q(p) = -5*p**2 + 4*p - 2. Give o*q(u) + 4*i(u).\nAnswer: -u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2*i + 2)*(-46*i + 7*i - 41*i - 18 - 112*i) to the form m*i**2 + y*i + o and give m.\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-5))\/(21\/840*-84).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24*g**2 + 28*g**2 + 33*g**2 - g**6 + 4*g**6 wrt g?\nAnswer: 360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1*2)\/(2\/(-5)). Suppose -2*d - 61 = -5*n, -46 + 63 = -4*d + 3*n. Sort -3, q, d in ascending order.\nAnswer: -3, q, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 20 = 5*t, -2*t + 2*v = -0*t + 4. Let y be 3\/t + (-14)\/(-1). Calculate the highest common divisor of 2 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.5 + 0.2. Let r = -17123 - -17118. Put 13, r, u in decreasing order.\nAnswer: 13, u, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 + 36117190924\nAnswer: 36117190924.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1081 is divided by ((-20)\/3)\/(32\/336*(-63)\/279).\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -36*b**2 + b. Let p(c) = -2*c. Calculate p(n(r)).\nAnswer: 72*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -476\/13 + 2\/13*h**2 + 54\/13*h.\nAnswer: 2*(h - 7)*(h + 34)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*i**3 - 174*i**3 - 415*i**3 + 12*i**3.\nAnswer: -482*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 5*r**2 + 2*r - 1. Let n = -1 + -1. Is q(n) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -20*y + 17. Let v(n) = 7*n - 6. Let x(w) = 17*v(w) + 6*z(w). Let s = 1 + -1. Suppose -6*g + 2*g = s. Calculate x(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 31)*(24\/(-80))\/((-3)\/4)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_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: Suppose -1 = 3*b - 19. Calculate the least common multiple of 11 and b.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 206, 2 in increasing order.\nAnswer: -4, 2, 206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3610777253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234 is divided by 40.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-30)\/14*14\/4*-24. Suppose -2*u = -5*u + p. What is the highest common divisor of 6 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-4))\/((1\/(-1))\/4)*-3?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-7)\/m)**49*(m**(-5))**(-11) assuming m is positive.\nAnswer: m**(-337)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 g when two letters picked without replacement from engbpcc.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7667230 and 160?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 39 = 25. Suppose 26 - 10 = b*u. Solve -q + 5*j + u = 0, -2*j - 6 = 2*q - q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 8*y**2 + 8*y + 2. Let w be c(7). Suppose -w*t - 261 = -12*t. List the prime factors of t.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a kilometer in centimeters?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 4922 = -1132. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 13, 1, 99 in increasing order.\nAnswer: -5, 1, 13, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of 1\/120*h**6 + 0*h + 7*h**2 + 0 + 1\/4*h**4 - 5\/6*h**3 + 7\/60*h**5. Calculate c(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of -l**6\/120 + l**4\/24 - 5*l**3\/6 + 40*l**2. Let u = 7 - 7. Let y be -3 - (0 - u) - -3. What is i(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2272694?\nAnswer: 2, 1063, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 2*b + 336 = 308, u + 18 = -5*b for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 19141*v + 1. Let o(a) = 3*a**2. Calculate o(t(z)).\nAnswer: 1099133643*z**2 + 114846*z + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -169966, -339940, -509914, -679888, -849862?\n\"Answer: -169974*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3548181 - -466.\nAnswer: -3547715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvzt when four letters picked without replacement from vevzouvvvttvttvovttv?\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -203*b + 1540 = -168*b. Calculate the remainder when 149 is divided by b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - -2 - (5 - -1). Let k be (2\/v)\/(10\/(-5)). Sort 0.5, -1, k.\nAnswer: -1, k, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.4 + 6.16. Let q = v - 9.39. Let z = q - -1.73. What is z rounded to zero decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h - 3. Let c be a(13). Suppose 0 = 9*z - 4*z - c. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n**3 + 7*n**2 - 6*n + 8. Let w = 129 - 126. Let x(k) = 0 + 17*k - 11 + 2*k**w - 12 - 20*k**2 - 10*k**3. What is 17*q(m) + 6*x(m)?\nAnswer: 3*m**3 - m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/1140986 or 0?\nAnswer: -1\/1140986","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 186178388 by 47543.\nAnswer: 3916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0118 to four decimal places.\nAnswer: -0.0118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 v when two letters picked without replacement from qvvvrrrckcrcr.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2854076 and 3682?\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34033954?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 3256315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2580 - 852 + 2633 - 604)*(-5*j + 2*j + 2*j).\nAnswer: -3757*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (313\/313)\/((15\/12)\/(-5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1718 + -1224. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 650804 times 0.29\nAnswer: 188733.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2733 + 2757. Let c(j) be the first derivative of -x - 9\/2*j**4 + 0*j**2 + 17*j + 0*j**3. Find the first derivative of c(h) wrt h.\nAnswer: -54*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-55)\/(-33))\/((-5)\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d. Let s(y) = 2*y - 6. Let g(n) = -6*h(n) + s(n). Let l be 26\/3 - 2\/3. Is g(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h = -31*h + 4554. Suppose 0 = 4*n + 3*y - 382, -4*y = -2*n + h + 81. What are the prime factors of n?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fppp when four letters picked without replacement from pfppfpp.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 13 - 56 = 0. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**5 + 6*l**5 + l**5)*(3 - 7 - 1) + 4 - 4 - l**5.\nAnswer: -31*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 7, m: 9}. What is prob of picking 3 m?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.15954792 and 0.4.\nAnswer: 0.063819168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -23919\/4 not equal to -5979?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 3:15 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from whwg. What is prob of sequence hg?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18420480, -18420461, -18420442, -18420423?\nAnswer: -18420404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -26*k**3 + 297*k**2 - 31*k - 217. What is c(11)?\nAnswer: 773","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 at least as big as 127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 817.4901 days in weeks?\nAnswer: 116.7843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/50 of a microsecond?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 3. Suppose 5*d + 5*j = b*j + 15, 5*d - 35 = 2*j. Let u(s) = 13*s - 79. What is the remainder when u(7) is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 32312?\nAnswer: 96936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a century in months?\nAnswer: 3120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -79054539 smaller than -79054539?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a kilogram in milligrams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-2) + 1 + 1\/(-2). Is 4\/(-18) + x\/(9\/(-227)) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-240)\/(-12) + (-3)\/1. Let z = 13 - k. Let g = 3 - z. Solve 2*b - 5*h = g*b + 5, b + 2*h + 6 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*z - 6 = 47*z, 3*s = 3*z + 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-2 - 3)) + 2 + 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 65*g**5 - 6*g**4*h - 4*g**3*h + 9861*g**2*h wrt g.\nAnswer: 3900*g**2 - 144*g*h - 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m + 5*t + 141, 13*m = 30*m - 19*m + 5*t + 149 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7696111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 8 + 2 = -m, m - 10 = -h. What is the lowest common multiple of 6 and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1065220252?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j - 1. Let i(b) = -4*b + 2. Let t(v) = -5*g(v) - i(v). Suppose 4*u - 1 - 15 = 0. Determine t(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*2 + 2168\/(-364). Let d be (-2 - -8)*(-32)\/364. Let r = m - d. What is the common denominator of r and -99\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) - sqrt(78)*-4*4)*-4)\/((sqrt(6) - (4*sqrt(6) - sqrt(6)))*-5*2).\nAnswer: -17*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.395022 rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (x + 0*x + 0*x)*(-4 + 0 - 9 + 2 - 3 + 0 + (-4 + 4 + 3)*(1 + 0 + 2)) in the form f + z*x and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1280477 and -827.\nAnswer: -826.8719523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -b0855?\nAnswer: b0856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1281 divided by 19736\nAnswer: -1281\/19736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*h**2 + 22*h**2 - 6*h**4 - 20*h**3 - 2*h + 7*h**3 + 3*h**4 as y*h + j*h**2 + u + v*h**3 + k*h**4 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.4, 0.3, 1\/2, 5, 0.065.\nAnswer: 0.065, 0.3, 1\/2, 2.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hbxhix. Give prob of picking 2 x and 1 b.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -427778 + 60709. Let s = 170069 + j. What is s rounded to the nearest ten thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 3. Let q be a - (-6 - -3 - -1). Suppose -3*b - 618063 - 281929 = 2*n, -3*n + 12 = q. What is b rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2132295*f**3 + 13*f**2 + 578985670*f wrt f.\nAnswer: -12793770*f + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 252*n = 253*n - 3*k + 22, -3*n - 3*k - 78 = 0 for n.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3 - 13*n**2 + 845*n - 6591.\nAnswer: -(n - 13)**2*(n + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*j**2 + 93*j - 10328 wrt j?\nAnswer: 12*j + 93","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 36111.32l in millilitres?\nAnswer: 36111320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-10))\/(-13 - (20070\/(-1512) - (-7)\/42))?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/3)\/((-12)\/180). Let d be (24\/150*5)\/(1\/15). Solve -x*n - 2 = -d for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 72 + 74. Let l = o - 80. Does 22 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -242*x**5\/5 + 125026*x**4\/5 - 4249350*x**3 + 1177005854*x**2\/5 + 1198377872*x\/5 = 0. What is x?\nAnswer: -1, 0, 136, 2099\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - 30*c - 81. What is p(-27)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*l - 3*l - 9*l)*(-5 + 4 - 5).\nAnswer: 30*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b - 47. Let x be d(-15). Let l(s) = -s**3 - 33*s**2 - 30*s + 66. Let j be l(x). Solve -j*a + 10 = -4*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*j, 2*f = 7*f - 2*j + 2. Suppose -n = 2*x - 46, f = 4*x - 2*x - 5*n - 22. Let b = -17 + x. Solve 0 = q + b*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 681881.4l to millilitres.\nAnswer: 681881400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 + 43. Is 14 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.9 and -7802019.\nAnswer: -38229893.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1860)\/(-80))\/(0 + (-5)\/2) and -1*2\/22*490\/196.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 - -26 - -32 - 33?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 4\/5 (b) -5.4 (c) 1 (d) 71.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-168)\/(-9) - -2)\/((-38)\/(-57)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*k - 468000 = 602553. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 13. Let j(m) = 3*m + 0*m - 7*m + k*m. Let r(w) = 3*w + w**2 - 3*w. Determine j(r(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43, -48, 43, 290, 753?\nAnswer: 1492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 10. Suppose 4*b = y + 1, -y + i*b = -0*y + 2. Suppose 0 = -a - y*n + 18, -3*a + n + 0*n + 14 = 0. Solve -d - 1 + a = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -7*v. Let q(g) = -6*g + 7. Let n(y) = -2*y + 2. Let b(f) = -7*n(f) + 2*q(f). Calculate b(t(h)).\nAnswer: -14*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9314334*l**3 - 18628654*l**3 + 9314337*l**3.\nAnswer: 17*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 108.\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 4280621?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*v - 28 = -11*v + 2*p, 136 - 498 = 4*v + 38*p for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by -7\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 231 a factor of 9785143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 832842?\nAnswer: 2, 3, 53, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 233464\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184 = -5*i - 2*v, -i - 6 - 24 = -3*v. Let s be (-14)\/49 + 4\/(-14)*i. Solve k + s = -k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 183 - 914\/5. Which is smaller: q or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((3 + sqrt(192))*-2 + 3)*-6)**2.\nAnswer: 55296*sqrt(3) + 447552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1601\/8 - -189. What is the common denominator of i and 7\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 = 5*w + 12*r + 18*r + 152 - 19, 40 = 4*w - 3*r + 3 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -9*z + 7. Let k(x) = -x + 1. Give -3*k(a) + l(a).\nAnswer: -6*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -119 - -137. Let z be (-114)\/p + 6 - 92\/(-6). Solve 0*l = -5*l + z for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16808546?\nAnswer: 2, 17, 494369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 276986 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1\/12, 0.1, -7, -2 in decreasing order.\nAnswer: 5, 0.1, 1\/12, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -423650304 divided by 2688?\nAnswer: -157608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 782561*x**2 + 182193*x + 9 wrt x.\nAnswer: 1565122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2 - 24288*b - 73738368.\nAnswer: -2*(b + 6072)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 180068*z + 235166 wrt z?\nAnswer: 180068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6*(-2)\/8*-6. Let l = 4 + v. Let m be l*((-32)\/(-5))\/(-4). Solve -3*f - 23 = -m for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -16\/3*p**3 + 87\/2*p**4 + 0*p**2 - 4*p - 278. Find the third derivative of b(g) wrt g.\nAnswer: 1044","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -60568\/1845 - -1478\/45. Suppose 0*q = 2*q. Which is bigger: u or q?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**4 + 4*m**4 - 27*m**4)*(-4*m - 1 + 1).\nAnswer: 104*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -2. Let g be (-3)\/(-3*q - -2). Let w = g + -5. Is -2 equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.04 or -4792?\nAnswer: -4792","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 16*v**2 + 40*v + 37. Let i(g) = 3*g**2 + 8*g + 7. What is -11*i(y) + 2*o(y)?\nAnswer: -y**2 - 8*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 0.93, 5, 0.1, 3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0791 + 1.3284. Let k = a + -1.4. Let p = k - 0.022. Round p to 3 decimal places.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 (base 11) in base 10?\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l**3 + 208*l**2 - 208*l**2 + 128*l.\nAnswer: l**3 + 128*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {v: 11, n: 3}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -101*l**3*o - 33695*l**3 - 30*l**2*o + 2*l*o + 1854*o wrt l.\nAnswer: -606*o - 202170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -0.4 (c) -24 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0139202727 rounded to five dps?\nAnswer: -0.01392","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -31, 45 in increasing order.\nAnswer: -31, 2, 5, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -22183, -0.051?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gcpydgld. What is prob of picking 1 p and 1 d?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 3:44 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -184\/7, -2, 3\/8 in increasing order.\nAnswer: -184\/7, -2, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, 539, 1903, 4583, 9023, 15667, 24959, 37343?\nAnswer: 53263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 1663 - 1663 - 40*z - 30*z**3 - 75*z**2 + 5*z**4 = 0.\nAnswer: -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -108*l**2 - 3*l + 2. Let a be g(1). Let z = 169 + a. Suppose 3*c + z = 5*c. Calculate the highest common factor of 12 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 79*f**2 + 19*f**2 - 15*f**2 + 61*f**2 + 6*f**2. Let x(h) = 17*h. Determine o(x(d)).\nAnswer: 43350*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11843, -47417, -106711, -189725, -296459, -426913, -581087?\nAnswer: -758981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = 18*q - 12, 130 - 118 = 3*g + 2*q for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 times -32412.345\nAnswer: -1944.7407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 572*-3*(-1)\/6. Let j be 4 + 74 - (-4 - 0\/(-4)). Let p = n - j. List the prime factors of p.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 - 3. Solve -5*h - 5*f = z, 4*f = 5*h - 0*f - 20 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (18\/24)\/((-2)\/24). Let l be 4 + (112\/(-12))\/(4\/n). What is the greatest common divisor of 45 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 d when two letters picked without replacement from nqlqdldyj.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 741072 and 96?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 13 (c) 0.4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.18*0.06\nAnswer: -0.0108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.223 + -18.777. Let c = -58 - q. Which is smaller: 2\/5 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17786 (base 9) to base 12\nAnswer: -7159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 2 - 8. Suppose -r*y + 9 = 3. Let t = 1 + 0. Calculate the lowest common multiple of t and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3*w + 1. Suppose 0 = -2*j - j. Let d(c) = -c**2 + j*c**2 - 2 - 2 - 5*c. Let m be d(-3). Give h(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 28*s + 5. Let d(y) = 83*y + 14. What is -6*d(c) + 17*v(c)?\nAnswer: -22*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 210 - 128. Suppose 3*u + 2*w + 109 = 21, w = 3*u + z. Let s = -14 - u. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 512 - 123. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -25*i**3*w**2 - 9566*i**3 - 480*i**2*w**3 wrt w.\nAnswer: -50*i**3*w - 1440*i**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3344 and 224466.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-2)*((-205)\/(-5) + -35).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 - 22*u + 24. Let i be l(-18). Suppose 4*n = 0, 3*c + 54 + i = -3*n. What is c rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 102 (b) 296 (c) -3371\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*(sqrt(550) + (sqrt(550) - -1*sqrt(550))))\/(sqrt(1331)*-1) + -1*(4 + 2 + sqrt(1250)))*4)**2.\nAnswer: 67200*sqrt(2)\/11 + 3989696\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 4:29 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216\/180*(((-327078)\/12)\/(-9) - 1).\nAnswer: 3, 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*p**3 + 3*p**2*q - 2*p**2 - 16*p*q + 7*p + 3*q wrt p.\nAnswer: -48*p + 6*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41130 is divided by 7074?\nAnswer: 5760","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30740 + -9836843\/320. Calculate the common denominator of b and 157\/120.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 78093, 312240, 702443, 1248702, 1951017, 2809388?\n\"Answer: 78028*h**2 + 63*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 12.41. Let w = j - 0.01. What is the second biggest value in 4, 0.5, w?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3282 - 3.\nAnswer: 3279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -47.56 greater than 0.011?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m + 4. Let n be p(0). Suppose 19 = 4*l - d, l + 5*d = 6*d + n. Suppose -l*f = -32 - 28. Calculate the highest common divisor of f and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) -0.07 (c) -0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -738*i - 8920. Give j(-12).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1524*m - 4569*m + 1521*m + 1524*m - 12*m**2.\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, e: 4, c: 2}. Give prob of sequence eae.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5, i: 4, u: 6}. Give prob of sequence iuui.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 103 = 415. Let p be (j\/(-8) + (-13)\/(-52))*12. Round p to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**3 + 0*h**2 + 0*h**2 + (-h**2 + h**2 + h**2)*(-5*h + 4*h + 2*h) - 1 + 1 - 2*h**3 + (3*h + 3*h**2 - 3*h)*(-3*h + h + 0*h) + 4*h**3 - 4*h**3 - 2*h**3.\nAnswer: -11*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1447\/30 + -61\/10. Let g = 55 + k. What is the nearest to -1\/3 in 5, 0.5, g?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(600)*-2 + sqrt(600))*-1 - sqrt(600))\/((1*sqrt(108))\/sqrt(9)))\/((sqrt(30) - 3*sqrt(180)\/sqrt(6))\/sqrt(3)*4))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 165*o + 111. Let w(m) = -2*m. Let a(t) = l(t) - 18*w(t). Is a(22) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5602631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -9. Suppose 2*g - 2 = 0, -a*d + 3*g = -7*d + 23. Let m(t) = t**3 - 5*t**2 + 3*t + 3. Calculate m(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 15, 21, 25, 27, 27, 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 3 (c) -2\/9 (d) -7 (e) -26\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3 - j**3 - 3*j**3 + 13 - 2*j**3 with respect to j.\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.08 and 1853677671?\nAnswer: 1853677670.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 34*g**3 - 34*g**3 + g**5 + 13*g**4 + (-g**5 - 3 + 3)*(0 - 6 + 3).\nAnswer: 4*g**5 + 13*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 4*y**2 - 15. Let j(k) = k**3 + 5*k**2 - k + 14. Let t(l) = -3*j(l) - 2*r(l). Does 8 divide t(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 7*a**2 + 5*a + 6. Calculate the remainder when (-90)\/(-4) - 3\/(-6) is divided by x(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 154*d**2 + 2*d + 194. Let x(j) = -155*j**2 - 2*j - 199. Let w(u) = -4*m(u) - 3*x(u). Find the first derivative of w(y) wrt y.\nAnswer: -302*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -47*r + 145*r - 46*r - 51*r. Let n(d) = -40*d**2 - 15*d - 15. Let j(c) = -10*c**2 - 4*c - 4. Let p(q) = 15*j(q) - 4*n(q). Calculate p(k(a)).\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 2*r = 3*r - 49, -2*r = -h + 1. Let j be (-3 - (-126)\/4)*1\/3. Is j > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -102213 + 2?\nAnswer: -102211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4235 (base 8) to base 9.\nAnswer: 3020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 21896873?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 57029 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8847437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 88805364*p**5 + 2340118*p**2 + p wrt p.\nAnswer: 5328321840*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 5:38 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 3:45 PM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 7:06 AM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 389288 is divided by 1855.\nAnswer: 1593","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of 27*i**4\/4 - 2*i**3\/3 + 3*i**2\/2 - i - 943. Suppose -u + g - 4 = 0, 15 = 5*u - g + 3*g. What is the tens digit of r(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 1:53 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2209114001\/165580 - 14254\/8279. Let o = 13334 - c. Find the common denominator of 2\/(-11) + (78625\/(-374))\/(-37) and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1454238633 and 17782?\nAnswer: 8891","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3444 - 0.0556. What is the second biggest value in -1, m, -2\/271?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51*x**3 - 53*x**3 + 16*x**3)*(2*x + 4 - 4) - x - x**4 + x.\nAnswer: -177*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) - sqrt(1701)*4 - (sqrt(21) + sqrt(21)*2 + sqrt(21))*2)\/(sqrt(3) + (sqrt(3) - sqrt(27)\/sqrt(9))*-6 + (sqrt(3)*-1 + sqrt(3))*-1).\nAnswer: -43*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-30)\/35)\/((-62)\/1085). Solve -2 = -j*o - 2 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 35 = -3*x, 114 = -b + 110. Suppose 25*j + q = 21*j + 2, 4*q = x*j - 13. Is j not equal to 6\/133?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21795.583 to the nearest one thousand.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16100059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 50 and 9?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 439*r**2 + 144*r**2 - 582*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*p**6 + 56*p**2 + 968*p - 972*p - 1644*p**5 + 1400*p**5 wrt p?\nAnswer: 720*p**3 - 14640*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 40*f + 587. Determine u(13).\nAnswer: 1107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + 3*i + 9. Let t be k(9). Let x be (-1)\/t - 17\/(-85). Let v be 6\/10 + 4\/10. Which is greater: v or x?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*d = 131*d. Factor 0*o - 1\/2*o**2 + d - 1\/2*o**3.\nAnswer: -o**2*(o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2414, -2, 62, 0.\nAnswer: -2, 0, 62, 2414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 20 = 0, 0 = -2*f - 0*c + 5*c - 26. Let a = 20 + -17. Let k be 29\/a - (f - (-30)\/18). Let n(q) = q**3 - 11*q**2 - 8. Calculate n(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(72))*-2)**2 + (sqrt(2) + sqrt(2) + 2 + -2)*-5.\nAnswer: 134*sqrt(2) + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 13*s**2 + 23*s + 176. What is j(-12)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128*l + 139*l - 66 = 0. Let z be ((-42)\/35)\/((l\/2)\/(-1)). Suppose -z*k + 1\/5*k**2 + 0 = 0. Calculate k.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.011 less than or equal to 12.15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172128 = -2064*w + 286*w - 109*w - 3492*w for w.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 - 0.3. Let z = -3.5 - g. Let f = z + 3.04. Round f to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40406*o**3 - 2*o**2 + 4294 wrt o.\nAnswer: 242436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c + 7. Let m be r(-5). Suppose 2*y + x = 16, 0*y - 5*y + 42 = m*x. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(224\/116) + 36\/(-4).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 10*w**3 - 71*w**4 - 3*w**3 - 2*w**2 + 76*w**4 to the form n*w**2 + f + k*w**3 + r*w**4 + o*w and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*i - 2*i + 8 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.345642kg to micrograms.\nAnswer: 5345642000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -0*x - x + 68, -2 = -2*v. Calculate the remainder when x is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1056 + -1136.37. Let g = w - -80. Let s = -0.03 + g. Which is the nearest to 2? (a) -1\/5 (b) -5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 441749383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1757359 or -43\/5?\nAnswer: -43\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76715?\nAnswer: 5, 67, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 13*m**2 + 8*m + 26. Determine r(14).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109 = 5*x - 2*v, -6*x - 57 = -1639*v + 1638*v + 78 for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 11:06 PM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 7*w**2 + 473*w - 65. What is the thousands digit of t(-71)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 462 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - 8*h + 4. Let f be o(-9). Let m = f + 11. Let d be -2 + 1*m*-233333. What is d rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 15*k - 14. Let l(p) = -15*p + 18. Calculate 3*b(y) + 2*l(y).\nAnswer: 15*y - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*b**2 + 3*b**2 - b**2)*(-3804 - 3596*b**2 - 5609*b**2 + 1906 + 1898) in the form k*b**4 + m*b**2 + y*b**3 + w + o*b and give k.\nAnswer: 18410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 7*b**2\/2 - 158589*b\/4 - 8496 = 0.\nAnswer: -3\/14, 11328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 105 = 9. What is the highest common factor of x and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3345 is divided by 342?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 5*u - 21688, u - 28879 = -4*d + 2*u. Suppose 2*p + 1789 = k, -4*k - 5*p + d = -0*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -955\/7 in 5\/22, 2\/11, -1\/14?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7253 - -7248. Which is the nearest to 0? (a) -2 (b) -4.78 (c) -1\/2 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 7, j: 2, v: 6}. What is prob of picking 3 r?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 85 - 142. Let h = 56.967 + l. Round h to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 110, 123, 136, 149?\n\"Answer: 13*v + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.5783 - -1199.9783. What is q rounded to the nearest ten?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 226915094 to the power of 1\/3, to the nearest integer?\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 9*z**2 + 8*z - 2. Let d be k(8). Let f = d - -4. Let o be (f\/(-8))\/(2\/(-8)). Let i(u) = 2*u**3 + u**2 - u + 1. What is i(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-14)\/(-6))\/((-11)\/(-132)) and 120?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 24, -0.254, 226, 1, -2.\nAnswer: -2, -0.254, -0.2, 1, 24, 226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -c0b0?\nAnswer: c0b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -65*j - 86*j + 1130 - 73 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-6))\/(21\/(-8505)). Suppose 3*g - 4*g = -187. Let f = g + -133. Calculate the greatest common factor of f and d.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 220011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h - 2 - 3 + 4. Let f be q(1). Let c = 387.7 - 385.7. What is the biggest value in c, f, -0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -12\/42925 and -13\/74375.\nAnswer: 7511875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*a + 2*a - 4*b, 4*b = -4*a - 36. Let l be -2 - 1\/(-2)*-2. Let w = l - a. Solve -5*k + f - w = 0, -k + 40 = -6*k - 5*f for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -2*k - 5*t, -105*k = -104*k - 5*t - 9. Let r(o) = 5 - 13*o + o**2 + 6 + o**2. What is the tens digit of r(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/101 or 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11719 = -728*h - 3206 - 16379 for h.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3132\/(-90))\/((-28)\/(-10)) + 12.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 2:46 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**2 - 19*r - 9. What is t(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -344, 3, 2.\nAnswer: -344, 0.1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -2236599907 and -35146.\nAnswer: -2236635053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007553423 to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + 23*h - 28. What is the tens digit of j(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x - 5*x - 5. Put 3, 0, x, 1 in descending order.\nAnswer: 3, 1, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21224, -22111, -23002, -23897, -24796, -25699, -26606?\nAnswer: -27517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -a**5\/20 + a**4\/6 + a**2 - a. Let x be w(2). What is the third derivative of -2*i**6 - 4*i**2 + 4*i**2 + i**x wrt i?\nAnswer: -240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/2, -14, 3, -3, -49296?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -5.3. Let z = -0.06 + -0.44. Let r = 1200 - 1226. What is the second biggest value in z, t, r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttteljttqttltetlqtz. What is prob of picking 1 z and 1 q?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11145933?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, q: 3}. Give prob of sequence tqq.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 11:56 PM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119 = 3528*d - 3545*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 9 - 3, 2*b - 678 = 4*z. Is 1\/(-6) + (-18172)\/z a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14591*-1.19.\nAnswer: -17363.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -42 + 5614?\nAnswer: 5542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -8*q + 14. Let u(s) = -17*s + 29. Let x(c) = -13*i(c) + 6*u(c). What is the remainder when x(10) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 0) + -3 + 2 + 10?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.058 and 15832255.53298.\nAnswer: 15832255.59098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (33\/(-22))\/(105\/(-112)*1)\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 74833841 rounded to the nearest 1000000?\nAnswer: 75000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of r**5\/20 + r**4\/4 - r**3\/2 + r**2 - 2*r. Let h be u(-4). Let i be -1 - ((2 - 0) + -4). Sort 3, h, i in decreasing order.\nAnswer: 3, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 24, 29, 32, 33, 32, 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/h**(2\/39))*h)\/h*h**(-2\/21))**(-33) assuming h is positive.\nAnswer: h**(132\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 365 - 364 - 815 = -407*z. Solve -3*q + 4 - 6 = 2*n, -12 = -2*q + z*n for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 117 or 252?\nAnswer: 252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 112390865 to the power of 1\/3, to the nearest integer?\nAnswer: 483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/((-19)\/38*70\/21)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of m**3\/27 - 16*m**2\/3 + 247*m + 8847. Determine u so that t(u) = 0.\nAnswer: 39, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 27, 46, 33, -30, -161, -378, -699, -1142?\n\"Answer: -3*q**3 + 2*q**2 + 34*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35168 and 471?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*v**4 - 5*v**4 + 9*v**4)*(18 + 17 + 10) + (v - 3*v + 3*v)*(v**3 - v**3 + v**3).\nAnswer: 541*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -60*y + 26*y + 26*y. Suppose -23*a + 3 = -26*a. Determine u(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hlhh when four letters picked without replacement from hnfnnlfhhhhhhhnnhhhl.\nAnswer: 11\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 708 - 905.1. Let n = 197 + l. Which is the third smallest value? (a) -46 (b) n (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 6*q**2 + 8*q + 1. Let b be r(-6). Let n = -33 - b. Calculate the highest common divisor of n and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**10*q*((q*q\/q**(-20\/7))\/q)\/q assuming q is positive.\nAnswer: q**(97\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 8*h**2 + 4*h - 14. Let y(z) = 7*z**2 + 4*z - 13. Let s(x) = 6*t(x) - 7*y(x). Let l be s(-6). Let r(v) = -v**3 - 4*v**2 + 2*v - 2. Is r(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 966 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: Solve 4656 = -1388*o + 224*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1586815 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**5\/4 - 723*o**4\/4 - 711*o**3\/4 + 2175*o**2\/4 + 1803*o\/2 + 360 = 0. What is o?\nAnswer: -240, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pbraz. What is prob of sequence ar?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 418617, 418527, 418283, 417807, 417021, 415847, 414207?\nAnswer: 412023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3956*t**3 - 3*t - 3. Let m(g) = -51430*g**3 - 40*g - 40. Determine -3*m(w) + 40*y(w).\nAnswer: -3950*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53693.\nAnswer: 53693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 f when three letters picked without replacement from xfffufurxfxcffxxx.\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (8 - 12 - -2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -218 + 224. Solve h*y + 5 = -13 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -3*j + 8*j - 4*c, 0 = 2*j + 2*c + 2. Suppose -2*x + 5*s + 35 = 0, -5*x - s = -0*s - 20. Put -2, x, j in descending order.\nAnswer: x, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46 + 41. Let a = -41 + 48. Suppose 4*q = 20, -v + a + 11 = 4*q. Sort z, -1, v in ascending order.\nAnswer: z, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 8:13 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 1:20 AM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1268\/14 - 240\/(-168) - 31?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67045 to the power of 1\/2, to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -657 + 7629. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2. Let q(y) = 9*y + 4. Let b(c) = 10*c + 5. Suppose 2*i = i, -2*i = -4*g - 20. Let k(x) = g*q(x) + 4*b(x). Calculate w(k(a)).\nAnswer: 25*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 195560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccaa when four letters picked without replacement from xacraxrxtccva.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-7)\/h)**(-23\/2) assuming h is positive.\nAnswer: h**92","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/78)\/(703\/(-38) - -18). Which is the second biggest value? (a) y (b) 21 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32483909 to the power of 1\/2, to the nearest integer?\nAnswer: 5699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36384 is divided by 7267?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -101423 + -2?\nAnswer: -101430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (422*b - 10146*b + 29100 - 29102)*(0*b**3 - 2*b**3 + 3*b**3).\nAnswer: -9724*b**4 - 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5206 - -8806. Is 113 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -684 - -684. Solve y = 12*j - 4*j + 32 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 365 - 365 = 9*n. Solve -15*i + 5*b + 20 = -13*i, -5*i + 5*b + 35 = n for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2. Let k(t) = -t**2 - t - 10. Let s(x) = 4*x**2 + 2*x + 29. Let q(z) = -7*k(z) - 2*s(z). Let n be q(5). Let r(b) = 3*b**n - 15 + 15. Give r(y(u)).\nAnswer: 3*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/40)\/(-4 + 143\/65).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 12, e: 1, s: 1}. Give prob of sequence ke.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -22815 divided by -845\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.1250944*-2\nAnswer: -0.2501888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001010110000 - -11001000111?\nAnswer: 11100011110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1398*u - 669*u - 676*u)*(-9*u**3 - u**3 - 13*u**3) to the form c*u + l*u**2 + x*u**3 + h + i*u**4 and give i.\nAnswer: -1219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x + 3*x - 6*x)*(1 + 2 - 2) - 2 + x + 2 + 1899*x - 3286*x + 2101*x - 2.\nAnswer: 716*x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hy when two letters picked without replacement from {y: 7, h: 1}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -18, -95, -230, -417, -650, -923, -1230, -1565?\n\"Answer: f**3 - 35*f**2 + 21*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**2\/v**0)\/(((v**10*v)\/v)\/v*v*v**(-2\/55)) assuming v is positive.\nAnswer: v**(-438\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.779987ml to litres.\nAnswer: 0.001779987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 3 + -4 + 49 + -48?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.9 and -11.9.\nAnswer: -10.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14610607?\nAnswer: 11, 1328237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + b + t - 16 = 0, 2*b = 4*t + 24. Suppose 4*f + b*w = f - 2, 2 = -w. Find l such that 2*l**2 - 6*l + f*l**3 + 4*l + 0*l**2 - 2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 - a**2 + 3*a**2)*(4*a - 2*a - 5*a)*(-a**2 - 4*a**2 + a**2).\nAnswer: 12*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 33744 = 17*i. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 - -19. Solve 0 = t - 2*t - z for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**19)**(6\/29)*j*j**6*j**(-20) assuming j is positive.\nAnswer: j**(-263\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 450 - 425. Suppose -w*k - 5800 = -33*k. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -166. Suppose 3*v = -47 + z. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(480)*2)\/sqrt(6) + (sqrt(15)\/sqrt(12) + 1 + 1*sqrt(5))**2.\nAnswer: 49\/4 + 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5*j + 81 = -0*c, 4*c + j = 282. Let y be 6\/((-4)\/148*-3). Suppose c*p + 189 = y*p. List the prime factors of p.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -2, -1, 2\/15, 0.1, 3\/59777?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3200543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -69 + 146 - 2*c**3 - c**2 + 2*c**2 + 18*c + 0*c**3 - 75 to the form p*c**3 + n*c**2 + q + h*c and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 222 - 144. Suppose -z = 12*z - a. Sort 2, z, 4, 1 in increasing order.\nAnswer: 1, 2, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.983 + -1. Let s = l + 0.0254. Round s to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 37*w + 31. Let o(n) = -25*n - 22. Determine 5*d(t) + 7*o(t).\nAnswer: 10*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -191, 12, 898, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 7*o**2 - 15*o + 42. Let g be t(17). Suppose 5*u = -5*u + g. Is 28 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6429500621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67183?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.055 - 18.355. Let a = -18 - -59. Let x = v + a. Round x to the nearest integer.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - r**2 - 3*r + 1. Let b(f) = -f**3 - 7*f**2 + f + 12. What is the lowest common multiple of b(-7) and v(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 6:53 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a week in hours?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2626, -2572, -2504, -2416, -2302, -2156, -1972?\n\"Answer: s**3 + s**2 + 44*s - 2672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 8*d**2 + 6*d + 2. Give k(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -519498 divided by -147?\nAnswer: 3534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 7:24 AM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -5 (b) 2\/15 (c) 1 (d) -67 (e) -295\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 319149522 to the power of 1\/2, to the nearest integer?\nAnswer: 17865","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(2736)*-3 + sqrt(2736)) + sqrt(2736) + -3)**2.\nAnswer: -792*sqrt(19) + 331065","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 7 = -1. Suppose -4*c - 24 = -r*y - 2*y, -y - 6 = -5*c. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3*u = 10, -45 = -5*h - 0*u - 4*u. Let d = h - 0. Let n(c) = -c**3 - 7*c**2 - 7*c - 2. Let r be n(-6). Solve d*g + r = -6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2319659245?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 648 minutes after 8:27 PM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Expand (51 - 68*x - 51 + (-3 + 4 - 2)*(3*x + x - 2*x))*(3*x + 6*x - 4*x + x**4).\nAnswer: -70*x**5 - 350*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**3 - 228*b**2 + 4737*b - 4510 = 0. Calculate b.\nAnswer: 1, 22, 205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 18201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 56.55769 hours?\nAnswer: 203607684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 20*z**2 - 154. Let u(x) = -81*x. What is u(b(i))?\nAnswer: -1620*i**2 + 12474","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/(-68))\/(-3))\/((-96)\/(-192)).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millisecond in microseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 366302 to the nearest integer?\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.915 rounded to one decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z**2 - 2*z**2 + 0*z**2)*(2*z + 2 - 2)*(2*z + 6*z**2 + 10*z**2 - 8*z**2).\nAnswer: 48*z**5 + 12*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-22)\/33 + 46\/6. Let l(b) = -6*b - 12. Let o(g) = 2*g + 4. Calculate j*o(k) + 2*l(k).\nAnswer: 2*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*d + 176*d + 4 - 492*d + 159*d - 45*d.\nAnswer: -253*d + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 divided by -14?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 42.75 + -42. Let w = v + -0.749999464. What is w rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -11 - 0 - -6 - -5. Let k be (-30)\/(-9) - (-1)\/(-3). Sort -4, k, f.\nAnswer: -4, f, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-32)\/(c**11*c*c))**16 assuming c is positive.\nAnswer: c**(-720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of -y**7\/30 - y**5\/20 - 3*y**4\/4 - 9*y**2 + y. Find the second derivative of q(c) wrt c.\nAnswer: -84*c**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 2 + 2*s - 5 + (-181 + 181 + 21*s)*(-7 - 5 + 2) to y*s + j and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -183809240 to the nearest one million.\nAnswer: -184000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 15*w**2 + 17*w + 18. Let o be q(-16). Let y = -6 - -12. Solve -2*h + o = -y for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 2074\/5 (c) 16324\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 98000000 = -5*j, r - 5341376 = 2*j + 33858624. Round j to the nearest one million.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3033814, -3033816, -3033818, -3033820, -3033822, -3033824?\n\"Answer: -2*k - 3033812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 145\/141, 0.082, -2\/13, 1\/8?\nAnswer: 145\/141","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 11:54 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -250*j**2 - 5*j - 4*j**3 - 245*j**2 + 500*j**2. Suppose -2*v - 5 = 5. Let r(d) = 12*d**3 - 14*d**2 + 14*d. What is v*r(x) - 14*g(x)?\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -747 divided by 3?\nAnswer: -249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.13 + -0.33. Let f = 57416092\/625599 - 2\/208533. Let x = f - 92. Which is the smallest value? (a) s (b) -0.4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.2566ml in litres?\nAnswer: 0.0042566","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2153381, -2153378, -2153375, -2153372, -2153369, -2153366?\nAnswer: -2153363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5\/7 (b) 0.2 (c) 1\/4 (d) 2\/569 (e) 11 (f) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.9 - 0.9. Let p(u) = -3*u - 1. Suppose -5 = 6*h + 7. Let s be p(h). Which is the smallest value? (a) j (b) s (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 97*b**2 + 243297*b - 84610107.\nAnswer: 194*b + 243297","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**3 + 8 - 11 + z**2 + 4*z**3 to the form x*z**3 + a*z**2 + q + i*z and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 3*m**2 + 96987*m + 193962 = 0.\nAnswer: -32327, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*g + 33*g + 4 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/8, -0.3, -200?\nAnswer: -200","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2025544*b**2*x - 13665*b**2 + 110 wrt x.\nAnswer: 2025544*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -69.0944394 rounded to 1 dp?\nAnswer: -69.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - u**2 - 2*u + 1. Let m(h) = h**2 + h. Let v(x) = b(x) + 4*m(x). Determine v(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3912066437812 take away 0.002?\nAnswer: 0.3892066437812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 11250132?\nAnswer: -11250123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 119\/(-42)) + 1\/6. Let s be o\/4 + 0 + 0 + 2. Find v, given that 3*v**3 + 27\/2*v**2 - 27\/2*v**4 - s*v + 0 = 0.\nAnswer: -1, 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151000 = -11*l + 10*l. Round l to the nearest ten thousand.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.8 + 12.2. Let w = 8 - n. Which is the smallest value? (a) w (b) 5 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 9:26 PM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 6*x - 5. Let n(g) = -g. Let p(k) = -l(k) - 3*n(k). Suppose -3*v + 4*v + 2*f + 2 = 0, 5*v = 5*f - 10. Let w(u) = -13*u + 21. What is v*w(h) + 9*p(h)?\nAnswer: -h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.9234 * -0.17.\nAnswer: -0.156978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 847151 to the nearest integer?\nAnswer: 920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 118*v + 6*v**2 - 118*v + (-8*v + v + 0*v)*(-v + 2*v + v).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 64049, 64014, 63949, 63848, 63705?\n\"Answer: -o**3 - 9*o**2 - o + 64060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2505785 by 501157.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*n = -3*n - 12 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of 1\/3*c**3 - 1\/2*c**2 - 5 + 18*c. Is 6 a factor of k(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 140 and 1036.\nAnswer: 5180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-4*1)*3. Suppose k*o = 5*o. Which is greater: o or 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 - -20?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -8461.87 rounded to the nearest 10?\nAnswer: -8460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(80) - (5 + -1*sqrt(80)) - sqrt(80))**2 - (sqrt(50)\/(sqrt(40)\/sqrt(4)*-3))**2).\nAnswer: -40*sqrt(5) + 940\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-112)\/98*((-11)\/110)\/((-8)\/(-700))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24\/5, -2\/5, 4, -68\/7 in descending order.\nAnswer: 4, -2\/5, -24\/5, -68\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1521, 1516, 1497, 1458, 1393, 1296, 1161, 982?\nAnswer: 753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/27)\/((-5)\/(20\/(-4)))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2313995\/3928 - 4713\/8. Let w = n - -65435\/5892. Calculate the common denominator of w and -25\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12.946 + -0.054. Let k = l + 12. Let b = -0.89 + 0.09. Put k, -2, b in decreasing order.\nAnswer: b, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**4\/(a\/(a\/a**(1\/10))))\/(a*a*a**1)**5 assuming a is positive.\nAnswer: a**(-111\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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: Put -7\/3, -0.1, 10 in increasing order.\nAnswer: -7\/3, -0.1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 0 + 3\/2*b - 3\/2*b**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 5*g**3 - 6*g**2 - g + 2. Let f be m(3). Calculate the highest common factor of f and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/((-1)\/(-3)*(-27)\/1017). Suppose y - 54 = 3*n, 2*y - 4*n = z - 7. Does 3 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1043 (b) 2103 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - w + 12 = q, 5*w - 67 = 2*q. Suppose 43*a - 960 = w*a. Calculate the smallest common multiple of 9 and a.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83 + -27 + -30 + 88 - 17.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -133110033101 (base 4) to base 13.\nAnswer: -1915814","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -5*b**3\/2 - 1131*b. Let g(k) be the first derivative of k**2\/2 + 1. What is g(p(s))?\nAnswer: -15*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -340 (base 9) to base 6.\nAnswer: -1143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22555747 or -22555748?\nAnswer: -22555748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of c**6\/120 + c**5\/60 + c**4\/8 - c**3\/6 - 8*c**2. Suppose x - 5 = -2*y, 0*y + 5*x = y + 3. What is the units digit of m(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -5*y**2 + 135*y - 460 = 0?\nAnswer: 4, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1213428 and 0.2?\nAnswer: -242685.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 21549883 to the power of 1\/2, to the nearest integer?\nAnswer: 4642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 4*z + 8 = 0, 3 = 5*s - 5*z - 17. Suppose q + 18 = s*q. Let u be 50\/15 - (-6)\/q. Which is smaller: u or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2788988+4916\nAnswer: 2793904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of a**3\/3 - 4*a**2 + 2*a - 1. Let o = -151 - -158. Calculate s(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1527\/11 - -139. Let h = -0.756 - -0.856. Put -0.3, h, d in ascending order.\nAnswer: -0.3, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -147*y - 849. Calculate h(-6).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/28 of a week in minutes?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 427208 (base 10) to base 14.\nAnswer: b198c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29346 = -122*b + 40*b - 27460 for b.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 772 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4832156 divided by -293.\nAnswer: -16492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87736.14 nanograms to micrograms.\nAnswer: 87.73614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 554 is divided by 256?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 98*i + 8. Let x(o) = 3*o. Give x(h(k)).\nAnswer: 294*k + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1676 or -1675?\nAnswer: -1676","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/168312 and -21\/5692.\nAnswer: 239507976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 27*h + 99. What is the lowest common multiple of 15 and d(-2)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 4 + 4*j - j + 2*j - 11. Let z be n(3). Suppose -z*w + 318 = -2*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152)*-3)\/sqrt(8) - sqrt(19)) + -4 + sqrt(19) + 1 + -1 + 4.\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 277152 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 729*t. Let m(k) = -3*k. Determine q(m(g)).\nAnswer: -2187*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6725704 and 260?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -1644*x + 207222. Give r(126).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -716 - -740. Let m = -7 + 5. Which is greater: y or m?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + 32\/(-14) + (-592)\/(-259). What is the greatest common divisor of g and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - -3 - 20*-5. Let y = t - 61. Is y a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(11) + 3 + 4.\nAnswer: sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (0 + 5*((sqrt(320) - (-1 + sqrt(320))) + 1 - sqrt(320) - (sqrt(320) + sqrt(320) + -1 + 1)))*-1)**2*2.\nAnswer: -4800*sqrt(5) + 144200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -11*w + 1. Let j(k) = -10*k + 1. Let m be (3\/(-6))\/((-1)\/(-12)). Let a(p) = m*j(p) + 5*o(p). Let x be a(1). Solve 4*y + x = 2*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 230 - 695\/3. Calculate the common denominator of 109\/105 and w.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 - 3*m - 1. Let u be (-1)\/2*(-13 - -3). Let j be c(u). Suppose -12 = -4*f + 2*q, 5*q + j = -0*f + 3*f. Solve -4*w = -w - f for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1659 divide 26311351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -3*h**4\/5 - 537636*h**3\/5 - 32116582512*h**2\/5 - 639483978490224*h\/5 + 1279096427611632\/5 = 0.\nAnswer: -59738, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -5 (b) 2 (c) -1.6 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddqldqdqqdq. What is prob of picking 1 d and 3 q?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*b**3 - 200*b + 133*b**2 - 182*b**2 - b**3 + 118*b**2 - 22 + 154.\nAnswer: -(b - 66)*(b - 2)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**4 + 1243*t**3 + 386883*t**2 + 385641*t = 0 for t.\nAnswer: -621, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -545, -390, -223, -38, 171, 410, 685, 1002?\nAnswer: 1367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -c**5\/9 - 11*c**4\/3 + 160*c**3\/9 + 412*c**2\/9 - 416*c\/3 - 2368\/9 = 0.\nAnswer: -37, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - 2*y + y)*((-2 + 0 + 0)*(-2*y + 3*y + 0*y) + 0*y + 3*y - 2*y - 114*y - 3*y - 331*y).\nAnswer: 449*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 3*p = -147, -3*a - 4020 = 4*p - 4168 for a.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -8\/5 (b) -0.16 (c) 0.141\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 8*r**3 + 7*r**2 + 5. Suppose h - 27 = -4*h + 4*c, 2*h = -2*c. Let l(v) = -7*v**3 + 9*v**3 - v**2 - 1 - h*v**3. What is j(b) + 5*l(b)?\nAnswer: 3*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (4\/50)\/(-1*(-27)\/((-2295)\/34))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than -117744187?\nAnswer: -117744184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g**3 - 3*g**2 + 1. Let p be q(2). Let t = p - 1. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*36*6\/24?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 + -2 - (-4301)\/1001) + 14 - 14\/91.\nAnswer: 64\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -316408\/39 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 61*m = -63*m - 6, 4*v - 4*m - 12 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -845*3.9\nAnswer: -3295.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(11) + -1) + 2)**2.\nAnswer: -96*sqrt(11) + 460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 5*r**2 + 5*r - 8. Let z be x(-6). Let i be z*1\/(3\/(-15)). Suppose 0 = t - i - 39. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8838 * -7332.\nAnswer: -64800216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -85 + -83. Let r = -108 - q. Is 6 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -3*t**5 - 57*t**4 - 75*t**3 + 1005*t**2 - 1542*t + 672 = 0?\nAnswer: -16, -7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21579 divided by 7193.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31472*g**2 - 284*g - 62945*g**2 + 31474*g**2)*(2*g - g - 2*g)*(1 - g - 1).\nAnswer: g**4 - 284*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64517108.\nAnswer: 2, 17, 41, 73, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -11, -29, 1 in increasing order.\nAnswer: -29, -11, -9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 23575 at most -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -101 + 103. Suppose 3*f + 5*o = 1512, -691 = -4*f + 2*o + 1299. Suppose 0 = 3*m + 2*b - 766, -4*b + f = n*m - 5*b. List the prime factors of m.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m**4\/5 - 3*m**3 - 118*m**2\/5 - 168*m\/5 = 0. Calculate m.\nAnswer: -4, -2, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20196 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -779*f - 96 = -791*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.06 - -3.94. Let x = f + -6. Let w = x + 1.85. What is w rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155263 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36236*u**3 - 4965*u**2 wrt u.\nAnswer: -217416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/3*(-1 - 1). Suppose 3*y - j = 26. Let f be (-2)\/y*-2*15. Solve x - f*x + 25 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37605 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -42 + -23?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 4*t = 12 + 188, t - 1452 = 514*y + 656 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 14*b**4 - 4*b**3 - 4*b**2 + b - 4. Let i(y) = y**4 - y**3 - y**2 - y - 1. Let o(d) = 4*i(d) - n(d). What is the second derivative of o(q) wrt q?\nAnswer: -120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -356120 and -0.084?\nAnswer: 29914.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 972?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of 1\/4*x**5 + 0 + 0*x + 0*x**4 - 1\/6*x**3 - 24*x**2. What is the first derivative of f(k) wrt k?\nAnswer: 30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -w**5\/20 - w**4\/6 + w**3\/2 + w**2 + 9*w. Let f be v(-3). Solve 3*a + f*a = 25 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from shywytmsssyhhs. What is prob of picking 1 t and 1 h?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1818776435 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -541 (b) 0.01 (c) 0 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nwc when three letters picked without replacement from dcdcwdwnndddcwwcdnd?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 e when four letters picked without replacement from {z: 1, e: 7}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10 - 1 - (0 + 4). Suppose 12 + 416 = 3*c + p*d, -3*c - 4*d = -430. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-4)*-2)\/(3*2).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 9. Suppose -y + k = -2*y. Does 14 divide (28\/3)\/(y\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -35. Suppose -2*j = -r - 90. List the prime factors of j.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3227.24 kilograms to milligrams.\nAnswer: 3227240000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 144 = -4*d. Let b be -1 - -3 - (-688)\/16. Calculate the highest common factor of b and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-2*6\/(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -18*q + 15*q - 8, 0 = 3*m + 23*q + 80. Which is the second biggest value? (a) 0.2 (b) m (c) 1\/1267 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1591, -1, 5 in descending order.\nAnswer: 1591, 5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 4*m**2 - m. Suppose 3*p - 9 = 0, 2*v - 2*p + 12 = 4. Let l = v - 1. Is x(l) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1903, -1900, -1897, -1894, -1891?\nAnswer: -1888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 435069288?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31653 is divided by 199.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126\/12*(-4556)\/(-30753).\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3, -53*t = -52*t + 2*k - 66. Does 8 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1))**(27\/4)\/(((r*r\/r**(-4))\/r)\/(r\/((r**(-2\/7)\/r)\/r)*r)))\/((r*r\/(r*r\/r**(-2\/7))*r)**23)**12 assuming r is positive.\nAnswer: r**(-5729\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -13*k - 2*k**2 + 9*k**3 - 9 - 4*k**2 + 17*k**2. Let d be 6 - 0\/(1 - 0). Let z(c) = d*c**2 - 1 - 7*c + 5*c**3 - 6 + 2. Determine -6*r(p) + 11*z(p).\nAnswer: p**3 + p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7036 and 66867?\nAnswer: 470476212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -175 - -209. What is the highest common factor of 68 and y?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*b**2*f**2 - 17*b**2*f - 3*f**2 - 4*f wrt b.\nAnswer: 26*b*f**2 - 34*b*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3003232 (base 4) to base 5\nAnswer: 400101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -28, -2\/5, -3\/5, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(2 + (-24)\/1). Let u = s + -32. What is the common denominator of 21\/20 and 645\/286 - u\/65?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 500 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 5*y**4 + 87525*y**3 + 437495*y**2 - 87525*y - 437500 = 0.\nAnswer: -17500, -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + 9*q**2 + 4*q - 10. Let p be z(9). Let a = 80 - p. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32 + 38. Suppose -y*p - 10 = -p. Is p\/(((-4)\/6)\/(2804\/12)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -5*j - 74. Let t be g(-14). Put -1, 4, 28, t in ascending order.\nAnswer: t, -1, 4, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4e08 (base 16) to base 6\nAnswer: -232252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -99776, -99799, -99810, -99803, -99772, -99711, -99614, -99475?\n\"Answer: o**3 - 30*o - 99747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 399331 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43 - 391\/9. Sort -3, t, -0.1 in increasing order.\nAnswer: -3, t, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -3*n + 7. Let m(u) = 15*u - 36. Suppose 1 = -4*d - 5*g - 0, 0 = -5*d + 3*g - 29. Let w(o) = d*m(o) - 21*x(o). Differentiate w(r) wrt r.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s**3 - 40*s**3 - 16*s**3.\nAnswer: -61*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 26 = 4*s - 0*l, -s + 3*l + 11 = 0. What is the remainder when (-43 + 35)*60\/(-8) is divided by (8\/(-2))\/(s\/22)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-2\/5)*v*v\/v**(-2\/15))\/(v**(-2\/5))**(-39) assuming v is positive.\nAnswer: v**(-193\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, h: 1, w: 1, g: 1, d: 1}. Give prob of sequence dght.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -23*b - 529 - 239 + 228 for b.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.53, -5, 0.2, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -108*a**5 + 141108*a**4 + 487552*a**3 - 303952*a**2 + 41920*a = 0.\nAnswer: -4, 0, 2\/9, 1\/3, 1310","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (34 + -6)\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 11:55 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7227.4 + -63.768.\nAnswer: 7163.632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of 0*u + 1\/120*u**6 - 1\/10*u**5 - 1\/3*u**3 + 2*u**2 + 0 + 1\/24*u**4. What is g(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - -7. Suppose t - 3*h = -h + 15, -4*t - h + d = 0. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86569739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 579 - 405. Is (w + -7)*(-2 + 3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 38835992 = 2*w, 49*m = 53*m - 4*w + 38835984. Round m to the nearest 100000.\nAnswer: -9700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-6780\nAnswer: 3390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 11:26 AM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p - 5. Let o be b(5). Suppose -2*t = n - o - 2, 0 = t - 4*n + 8. Suppose t = 2*x - 10 + 6. Solve -y + x*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 23 = -49. Let g = 34 - b. Does 8 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of 5\/18*g**4 + 0 + 1\/14*g**7 + 3*g + 8*g**2 - 23\/72*g**6 + 25\/504*g**8 + 0*g**3 + 0*g**5. Determine p so that r(p) = 0.\nAnswer: -2, -2\/5, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*c - 9. Let s(z) = -5*z + 5. Suppose -4*j + 4*w = -4, 2*j + 17 = -j - 2*w. Let q(r) = 11*r - 8. Let g(l) = j*q(l) - 5*s(l). Determine g(c).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -1\/12*w**4 - 1\/42*w**7 + 0*w**3 + 0*w**2 + 0*w**5 + 0 + 0*w**6 - 2*w. What is the third derivative of c(m) wrt m?\nAnswer: -60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 589, 573, 545, 505, 453, 389?\n\"Answer: -6*f**2 + 2*f + 593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -60074 (b) -4\/7 (c) 4\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**2\/9 + 62327688*u + 4370333277853512 = 0. What is u?\nAnswer: -140237298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-3)\/(-9))*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 4 = -71*q + 16, -12 = s - 5*q for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 5, j = -4*h + 4 - 3. Suppose -2*r = 2*y + 2*y - 6, -j*r + 80 = -3*y. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (14\/4)\/(1\/14). Let k = 27 - 10. Solve q + 29 = -5*v, -t = 3*q + 4*v - k for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9.2 + -2.8. Let l = -129794149.0000026 + 129794137. Let g = l - s. Round g to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*o - 207*o + 26*o**2 + 96*o - 28*o**2.\nAnswer: -2*o**2 - 29*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 29*v**3 - 19*v. Let z(i) = -2*i**3 - 10*i + 2*i**3 + 15*i**3. Let g(u) = -2*l(u) + 5*z(u). What is the second derivative of g(h) wrt h?\nAnswer: 102*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -5. Let n(g) = g**2 - 2*g + 3. Let q(z) = 3*z**2 - 3*z + 13. Let i(b) = -b**2 + b - 4. Let x(h) = 7*i(h) + 2*q(h). What is j*n(k) + 5*x(k)?\nAnswer: -2*k**2 - k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51.08 + 52. Let k = 1 - o. Let f = 0.07941 - k. What is f rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1491.0843399 - -0.09.\nAnswer: 1491.1743399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 14*q + 432 = 0. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 15, u: 3}. What is prob of sequence ufuu?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23192 + 23332. Suppose -4*i + 776 = 4*a, 5*i - a - 988 = 3*a. What is the highest common factor of t and i?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1401, -1286, -1105, -858, -545?\nAnswer: -166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 7*v**2 + 3*v - 1. Let f be (-2)\/10 + 377\/(-65). What is the units digit of b(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 + 2*n - 2*n)*(-1 - 2 + 1) - 651*n**2 + 332*n**2 - 693*n**2.\nAnswer: -1016*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(24\/3))\/(12\/(-48)). Suppose r - 2*r = 0. Are m and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of f**5\/20 + f**4\/4 - f**3\/3 - f**2 + 14*f. Let n = -4 - -1. Calculate z(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 5*a - 2. Let r be ((-3)\/(-2))\/((-27)\/(-72)). Calculate the remainder when 52 is divided by y(r).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3*i**3 + 27*i**2 - 2*i. Calculate the remainder when s(8) is divided by 35.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(8\/(-4)) + 8. Suppose s*u + 0*f - 4*f = 68, -u + 4*f = -32. 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: Solve 2*p = -5*o + 35, 9*o - 5*o + 4*p = 52 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 695?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 621391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.070171 to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - 11*y - 17. Calculate m(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*(2\/3 + 0). Find the second derivative of 14*a**s - 14*a**2 + 6*a + 4*a**5 wrt a.\nAnswer: 80*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 5 (c) 1\/3 (d) 6 (e) -100\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/3 - -2 - -8. Let a(m) = 5*m**3 - 14*m**2 + 5*m - 66. Let q(i) = -i**3 + 3*i**2 - i + 13. Let n(f) = -2*a(f) - 11*q(f). Is n(u) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 10*y + 15. Let p be t(0). Calculate the highest common factor of 285 and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 26*l - 9. Let a(w) = 39*w - 14. Calculate -5*a(c) + 7*f(c).\nAnswer: -13*c + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -52. Let z = m - 36. What is the least common multiple of 64 and z?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -371, -749, -1127, -1505?\nAnswer: -1883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a centimeter in millimeters?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4608 + 1282*q + 4608)*(0 + 0 + q**2)*(-3*q + 0*q + 4*q) to the form s*q**3 + m + h*q + f*q**4 + l*q**2 and give f.\nAnswer: 1282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) 4\/7 (c) -2\/27 (d) -1 (e) -4 (f) 5\/2 (g) 5.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + -2 + -3 + sqrt(288) + 2)*4)**2.\nAnswer: -768*sqrt(2) + 4672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45*x + 24*x - 35*x - x**3 + 50*x + 0 - 3 to the form t*x**2 + m*x + d + p*x**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v + 14 - 17 + 12. Let h be b(9). Suppose 4*t + 332 = 4*i, 2*i + 2*t - 146 = -h*t. List the prime factors of i.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -203811*g**6 + 9*g**4 - 22*g**2 + 44*g + 555.\nAnswer: -24457320*g**3 + 216*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20 - (0 + (-1 - -4)). Let s = f + -13. Which is the closest to 0.1? (a) s (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 634, 14.\nAnswer: 2, 14, 634","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/y**6)*y**(-12))\/((y*y**(2\/5)*y)\/y)**(2\/45))**(2\/33) assuming y is positive.\nAnswer: y**(-248\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2954516 to the power of 1\/3, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3979691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3566 + -1719. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-128)\/(-304))\/(203\/551)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 307\/7 - 44. Suppose -2 = -m + 4*f + 6, 0 = -4*m + 4*f + 20. What is the biggest value in w, m, 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 397643.\nAnswer: 397643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 36299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/10*-2*4*2. Suppose 0 = -p*t - 0*t + 72. Calculate the highest common factor of t and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 16*k**2 - 37*k - 19. Is c(19) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, m: 2}. What is prob of picking 1 m and 1 o?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 98369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -246, -489, -742, -1011, -1302, -1621, -1974, -2367?\n\"Answer: -b**3 + b**2 - 239*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is o in o**3\/2 + o**2 = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -y - 0. Solve -9 = 2*n + y for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 839 and -19.\nAnswer: 820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 575055 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 10*r + 54084*r**2 + 53786*r**2 - 108170*r**2 + 3 as v*r**2 + f*r + i and give v.\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2948?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3 + sqrt(162)).\nAnswer: -54*sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/3903536 and 25\/64344.\nAnswer: 11710608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/68568589 and -55\/46.\nAnswer: 137137178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101111110110110001 (base 2) to base 5.\nAnswer: -22233032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 480 - 476. Calculate the greatest common divisor of 50 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**4\/3 - 198*d**3 + 596*d**2\/3 = 0.\nAnswer: -298, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 0*q + 12 = 0. Let m be (-4)\/q + 2\/(-3). What is the third smallest value in 0.5, m, -1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 303*n = 321*n. Suppose -4*q + n*z = -3*z - 4407, q - 1092 = 4*z. Is q a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/418151 or 0?\nAnswer: -2\/418151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 599 + -663. Let s(f) = -19*f**3 + 3*f - 3. Let c(d) = -400*d**3 + 64*d - 64. Calculate r*s(p) + 3*c(p).\nAnswer: 16*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 337026 rounded to the nearest ten thousand?\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15 + -1104?\nAnswer: -1045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 109511?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/8 or 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 0 + -9 + 13 + 2 + 3\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 431827 is divided by 46905?\nAnswer: 9682","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -448644, -0.1, 3?\nAnswer: -448644","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -77340053.0000023 + 77340049. Let x = 3.78 + 0.22. Let w = x + b. Round w to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40\/7*g**4 - 8\/7*g**2 - 4\/7*g**5 - 64\/7*g**3 - 32\/7 + 68\/7*g = 0. What is g?\nAnswer: -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9055639 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28012?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -8*p**3 + 2*p**2 + p - 1. Determine a(2).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3857 - -e57?\nAnswer: -2900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -53*n - 13. Let k(x) = x**3 - 6*x**2 - 4*x - 23. Let w be k(7). Let d be s(w). What is the greatest common divisor of d and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-40))\/(1\/(-2)). Let z = -1 - 4. What is the third biggest value in r, z, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 94\/141*(-6)\/(-40). Which is the closest to -0.3? (a) -0.4 (b) 3 (c) n (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2*sqrt(1584)*-2)**2*-4 + (3 + 3 + sqrt(1584) + sqrt(1584) + 3 + 0)**2.\nAnswer: -94975 + 1200*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 9790829?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -240772037, -240772040, -240772043, -240772046, -240772049?\nAnswer: -240772052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 2\/3)\/(-2). Let t be 30\/2 + -5 + 5. Suppose -90 = -t*j - 3*j. Which is the nearest to m? (a) -5 (b) j (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1024 - -1024. Put 3\/4, 33, j, 5, 1\/3 in increasing order.\nAnswer: j, 1\/3, 3\/4, 5, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 18*o**3 - 58*o**2 + 20*o - 106. What is a(6)?\nAnswer: 1814","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*y + 9, -4*t + 5*y + 40 = 0. Calculate the highest common factor of t and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, r: 4, s: 1, z: 6}. Give prob of sequence aa.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*((sqrt(102) - -2*sqrt(102))*1 - sqrt(102))*-1)\/((sqrt(294) - sqrt(294)*-2 - sqrt(294)) + sqrt(294) - sqrt(6) - (sqrt(60)*3)\/sqrt(10)))**2.\nAnswer: 144\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2821807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -891, -824, -757?\nAnswer: -690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1138114627 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 7 = -0*v - 4*v, -5*v - 2*h + 5 = 0. Let p be (-6)\/(-18)*-7*(-189)\/147. Solve -v = p*d - 3 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.097 - -43.097. Let i = -39 + q. What is the second biggest value in i, 2, 3, -1\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -1. Suppose u*v + 5 = -5*l - 2*v, 2*l - 2*v + 2 = 0. Let x be (0 - 2\/4)*(-48)\/(1 + 7). Sort l, x, -2 in descending order.\nAnswer: x, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 9:31 AM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 9 = -14, -5*f + 4*j + 284 = 0. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + 2*v + 3. Let u be i(-3). Let h be (u\/8)\/(6\/(-8)). Find the third derivative of -2*n**5 + 2*n**h - 2*n**2 + n**2 wrt n.\nAnswer: -120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(640)*3)\/(sqrt(288)*3*3 + sqrt(288)).\nAnswer: -3*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -336, -2757, -9260, -21879, -42648, -73601, -116772, -174195?\n\"Answer: -339*v**3 - 7*v**2 - 27*v + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 237 - 32. Let d = 208 + b. Solve 0 = 3*x - 4*o + 27, -3*o = -d*x - 9 - 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 2*y**2 + y - 2. Let t be j(2). Suppose 3*z - 15 + 0 = t. Calculate the remainder when z is divided by (-4 - -2)\/(6\/(-9)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 k when four letters picked without replacement from ckcqkbcqqccck.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1367 or 1356?\nAnswer: 1367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*((-1)\/9 - 12\/135). Which is the second smallest value? (a) 1\/114 (b) q (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**4 + k**3 + k**2 + k + 1. Let g(t) = -3*t**4 + 21*t**3 + 49*t**2 + 53*t + 23. Let u(y) = g(y) - 5*o(y). Find r, given that u(r) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -246 or -245?\nAnswer: -246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 6*p**2 + p. Let y be f(-6). Let c = y + 11. Suppose 3*m = -3*t + 3, 2*m - c*t - 9 = -0*t. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 822108625 a multiple of 212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6359.6 + 1.\nAnswer: -6358.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nuh when three letters picked without replacement from qqnwunwwwupqwnpwhuw?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 + -8. Calculate the greatest common factor of 99 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5, -38, -81, -124?\n\"Answer: -43*r + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6297886?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -s**4\/6 + s. Let q(v) = -550*v + 352. Let o(h) = -19*h + 12. Let c(k) = -88*o(k) + 3*q(k). Determine c(l(u)).\nAnswer: -44*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -2. Let a be (-1)\/(-3) - (-88)\/24. Let s(d) = 89*d - 156. Let l be s(2). Solve 3*x + a = v*o, 2*x + l = -x - 5*o for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d = -41 - 211. Calculate the remainder when 138 is divided by d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 1 - (7 + (31 - 3) + -24)) + 82.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 9:04 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.23 and -16.\nAnswer: -16.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -5*z**2 + 154*z - 600. Let p(t) = -55*t**2 + 1700*t - 6600. Let s(l) = 45*m(l) - 4*p(l). Determine h, given that s(h) = 0.\nAnswer: 6, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(3\/7)\/(v*v**0\/v)*v**(2\/3)\/(v*v**(-1\/2)*v)*(v**(-2\/3))**35\/(v**(-1))**(3\/7) assuming v is positive.\nAnswer: v**(-979\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 7:58 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 5:09 AM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2496 is divided by 1399.\nAnswer: 1097","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -5*c**3 + 8*c**2 + 5*c - 1. Let k(f) = -4*f**3 + 7*f**2 + 5*f - 1. Determine 5*d(o) - 6*k(o).\nAnswer: -o**3 - 2*o**2 - 5*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 197 - -83. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2632991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 164*y - 115 = -165*y, 3*y = 4*u - 111. Solve 7*k + u = -k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.23 + -15.23. Let a = -20 - -35. Let k = y + a. Is k at least 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.81 rounded to 0 decimal places?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 5*d**2 + 1. Let y(s) = -s**2. Let p(q) = 2*x(q) + 9*y(q). What is the remainder when 129\/(-1 - 0)*11\/(-33) is divided by p(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 266 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*z**4 + 5*z**3 + 40*z**2 - 60*z = 0. What is z?\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 2*m - 2*m)*(-3*m**2 + 3*m**2 - m**4) + 3*m**3 + 2178*m**5 - 2175*m**5 - 4*m**3.\nAnswer: 2*m**5 - m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*m - 66 - 18 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + 1896\/238)\/(((-12)\/(-14))\/(-1)).\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -955 + 976. Sort -0.1, 3, -1\/3, a in ascending order.\nAnswer: -1\/3, -0.1, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20403, 20401, 20399, 20397, 20395, 20393?\nAnswer: 20391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.01 + -4.01. Let b = 1.7 + -1.2. Let g = -8 + 7.7. Sort g, l, b in ascending order.\nAnswer: l, g, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12836 is divided by 1253.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -539\nAnswer: -1\/539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -60611100 to the nearest 100000.\nAnswer: -60600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3606, 7349, 13590, 22329?\n\"Answer: 1249*h**2 - 4*h + 2361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of (-4)\/1 + 10 - -2578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15134540 (base 6) in base 11?\nAnswer: -32a175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5*h = -v + 6, 3*v - 3*h - 33 = 0. Let c = -5 + v. Calculate the remainder when 8 is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 2661\/7?\nAnswer: 2661\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*p - 23400 = -135*p - 4*p. What is the highest common factor of 30750 and p?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -49.4 + 76.1. What is z rounded to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -2*y + n, -7 + 25 = 5*y - 3*n for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15 or -8?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**3 - 71*q**2 + 138*q - 1220. Calculate p(34).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40249061?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.45 in -2, 3, -2341.8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 10900872, 10900937, 10901046, 10901199, 10901396, 10901637?\n\"Answer: 22*v**2 - v + 10900851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 57991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 - 111?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -242902, -243201, -243498, -243793?\n\"Answer: d**2 - 302*d - 242601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 15*s**2 + 12*s - 54. Let t be o(-12). What is the highest common divisor of t and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)\/sqrt(40) + (sqrt(10)\/sqrt(2))**2 + -3 + (((sqrt(440) - 2*sqrt(440)) + sqrt(440))\/sqrt(11))\/sqrt(8).\nAnswer: sqrt(5)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 9*z**2 + z - 7. Let t be m(9). Suppose 3*u + t*u + 130 = 0. Let r = -13 - u. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/45 of a day in minutes?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 16*f - 19*f + 4 + 5*f + f**3 - 7*f**2 + 4*f. Let y be 28\/(-8)*12\/(-7). Let d be w(y). Sort d, -0.4, -6\/7.\nAnswer: -6\/7, -0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1984753kg to tonnes.\nAnswer: 0.0001984753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, a: 5, o: 1, i: 7}. What is prob of picking 1 i, 1 a, and 1 o?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 133, 1038, 2545, 4654?\nAnswer: 7365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 7*c**2 - 6*c - 8. What is v(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + u + 33, 2*t + 2*t = 5*u + 53. Solve -4*z + t = -5 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 18\/13 (b) 7 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -13, -2, 5, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00184129 to five dps.\nAnswer: 0.00184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(((-65)\/10)\/((-26)\/1208))?\nAnswer: 2\/151","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 10, -15, 62, 4.\nAnswer: -15, -2, 4, 10, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 860806, 1721607, 2582408, 3443209, 4304010, 5164811?\nAnswer: 6025612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 4*g - 679 = -591, 18 = 2*d - 11*g for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 14\/103959?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6268479667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -cd + -12793?\nAnswer: -12882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 105 = -30. Let y = k - 17. Solve 0 = 2*u + 3*u + y for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -32*x - 5. Let i be a(5). Let h = i + 328. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, -7, -31, -73, -139, -235?\nAnswer: -367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*q + 38*q - 21*q**2 + 17*q**2 - 196.\nAnswer: -4*(q - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1061 - -1216. Is 5 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89014619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35968*51.\nAnswer: 1834368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 105, 2881, -3, 3, 0, 1 in ascending order.\nAnswer: -5, -3, 0, 1, 3, 105, 2881","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -12.7, -346\/1181, 5 in ascending order.\nAnswer: -12.7, -346\/1181, -0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -619282.\nAnswer: 3\/309641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4\/3, -0.1, -123?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -566204*s**2 + 9321*s?\nAnswer: -1132408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -289*l**3 + 3*l - 2 + 148*l**3 + 140*l**3 + 2 in the form f*l + v*l**3 + o*l**2 + d and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -j**4\/4 + 3*j**3 - j**2 + 12*j - 73. Give p(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/3)\/8*5220\/(-45675)?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -332*z**3 + 12978*z**2 + 26054*z - 2460 = 0.\nAnswer: -2, 15\/166, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-54)*159\/(-53)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 210679.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4834 is divided by (-8967)\/(-366) + (-6)\/(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1)*f)**(-3) assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 644*o**2 + 13476 + 13476 - 643*o**2 - 26913.\nAnswer: o**2 + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2005?\nAnswer: 5, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 337515434 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: What is 12410100 rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45 + -48. Let i = -65 - x. Is -6 + (-1 - -4) - i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -238 - -210. Let g be 0\/(4*21\/l). Solve 2*t = w - 3, 2*w + g*w + 3*t + 8 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -3. Let h = -231.9 - -231.4. Let x = -13 + 6. What is the nearest to 0.1 in h, x, z?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 9:20 PM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 55038812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*3*sqrt(119)*-1)\/((sqrt(28)*-2 - sqrt(28))*4).\nAnswer: -5*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7308 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 852527 and 327895.\nAnswer: 4262635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 549029 is divided by 274492.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than -2228336480731?\nAnswer: -2228336480730.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -7*a**2. Let w(p) = -3*p - 5 + 5. What is w(k(u))?\nAnswer: 21*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1f (base 16) in base 8?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21\/2 + 59\/6. Is d <= 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 8*n - 4 = 0. Suppose 10 = n*u + 3*u. Suppose -u*o - 2*d = o, 2*o = -d. Solve -5 = -5*h - o for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9\/1343 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**1*z)\/z*z)**(-13\/4)*(z\/(z**(-2\/3)*z*z))**(-50)*z*z**(-2)*(z*z**(-2))\/z*z*(((z**(-2)*z)\/z)\/z)\/z*z*(z**(2\/9)*z)\/z assuming z is positive.\nAnswer: z**(97\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 3*t - 5281 = -2*l, l - 1053 = t. Suppose 0 = g + 5*y + l, -3*g - 2110 = -g - 4*y. Let c = g - -11597\/11. Which is bigger: c or -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -510*l + 29 - 509*l - 506*l + 2032*l - 506*l.\nAnswer: l + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 4*t - 56, 0*o + 2*o = -5*t + 68. Suppose t*w = -99 + 1023. What is w rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p. Let z(y) = 3*y. Suppose -5*j + 3 = 33. Let l = 57 + -41. Let w(v) = -v**3 + 17*v**2 - 17*v + 15. Let d be w(l). Give d*z(c) + j*h(c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -4. Let c(x) = -5. Let h(r) = -3*c(r) + 4*d(r). Let a(k) = -8*k. Let m(u) = -15*u + 1. Let v(s) = -11*a(s) + 6*m(s). Determine -4*h(o) - v(o).\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5597 - -6?\nAnswer: -5591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of -v**3\/6 - 305*v + 1. Let k(c) = -13*c**2. What is k(b(i))?\nAnswer: -13*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4 + (-6*sqrt(80)*3 - sqrt(480)\/sqrt(6)*1) + 1.\nAnswer: -76*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -319\/3 + 106. What is the biggest value in d, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-1\/3))\/(x\/x**1))**(-43)*(x*x**(-2\/5)\/x)**(-40)*x**5*x*x*x*x*x**(2\/17)*x assuming x is positive.\nAnswer: x**(-130\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.7039966 milligrams?\nAnswer: 0.0000000007039966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -85540043*d**3*f**4 - 176954*d**3 + 752*d - f**4 wrt f?\nAnswer: -342160172*d**3*f**3 - 4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45*g**2*j**2*y - 2*g**2*y - 4*g*j**2 + 3*j**2*y + 14491*j**2 - j - 24153522*y wrt j.\nAnswer: 90*g**2*y - 8*g + 6*y + 28982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.006952 weeks to seconds.\nAnswer: 4842604.5696","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 4*w. Let k(t) = 2*t**3 + 2*t. Let l be k(-2). Let u = 23 + -15. Let f be -12*(2 + l\/u). Calculate x(f).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187357223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - 9*x + 11. Let i be h(8). Suppose i*r - p + 6 = 34, 2*r + p - 27 = 0. Calculate the highest common factor of 121 and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21371955 divided by -388581.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 94 and -64277546?\nAnswer: 64277640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -t + 10. What is the least common multiple of t and 11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the third derivative of -47*c**4\/24 - 9*c**3\/2 - 158*c**2. Differentiate r(z) with respect to z.\nAnswer: -47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 89.17 + 13.25. Let q = g - 2.42. Let n = q - 100.0084. What is n rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9302 (base 11) in base 14?\nAnswer: -46da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (27 - 29)) + (-27 - -1)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -21 (b) -0.3 (c) 0.3 (d) -1\/2 (e) 3\/2 (f) -2382\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -9 + 4 + 3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + a = 3, 0*a + a = 3. Suppose -4*k + 9*k = 2*j + 208, c = -2*j - 8. Suppose k = -0*b + 4*b. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*x - 24*x + 54*x + (-4 + 4 - 1)*(-x - 15 + 15).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**2 - 3*v**3 - 2*v**2 + 24*v - 48 + 12.\nAnswer: -3*(v - 2)**2*(v + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*g + 117*g - 106 = 2*h, 49*g - h = 4*g - 135 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 5*y + 4. Suppose b = 3*s - 7, b - 15 = -4*s + 6. Let t(z) = 2*z**3 + 4*z**2 + 6. Calculate the least common multiple of t(-2) and n(b).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.48 - -3.6. Round f to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-440)\/3)\/11*-4*(-18)\/48.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*c = 5, 2*r - 2*c = -3*c + 38. Suppose 0*h - h = -4*f - 15, -h = -2*f - r. Calculate the greatest common divisor of 38 and h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1558 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46404 divided by 42.\nAnswer: 7734\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**2. Let m(t) = -50*t + 15. Let v(w) = 7*w - 2. Let q = 37 + -22. Let h(r) = q*v(r) + 2*m(r). Determine h(i(p)).\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20235264 + 150?\nAnswer: -20235114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i + 2. Let p(c) = c + 27. Let f be p(-22). Suppose 0*r + 2*r = 3*y + 6, -f*y + 3 = r. What is m(r)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 6*z - 25. Calculate n(-7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/(-12) - 5\/(-3). Suppose 4*d + 0*d + 2*c = 130, 0 = 2*d + t*c - 75. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 97*r - 19. Let w be p(4). Does 41 divide (-3 - -5)\/(6\/w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -54 + 56. Suppose -5*b = -3*i + 495, -n*b - 117 = -b + 3*i. Round b to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -17*m**2\/2 - 68. Let i(l) = -5*l + 6. Let r(j) = 14*j - 17. Let d(u) = 17*i(u) + 6*r(u). What is p(d(v))?\nAnswer: 17*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -772506 times 3?\nAnswer: -2317518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2752*i = 2790*i - 232 - 34 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**(1\/2))*a)**(-42)*a*a\/a**6*a*a*a**6*a assuming a is positive.\nAnswer: a**(-58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -440131 (base 5) to base 14\nAnswer: -56a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -4. What is the common denominator of (-2)\/((-220)\/95) + d and -119\/18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5\/2, -1\/3, -2\/17, 5, -2.021.\nAnswer: -2.021, -1\/3, -2\/17, 0, 5\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/10*3\/(-12). Suppose -5 = -2*q + 3. Suppose 2*w - q*w = 0. Is w > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 180*c + 607. Determine v(-4).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a + 4. Let r = 21 + -5. Suppose -3*v - v = -r. Calculate s(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2241*g**3*v**3 - 4*g**2 + 123*g*v**3 wrt g.\nAnswer: -13446*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -1 - (4 + 7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.042 take away -0.2?\nAnswer: -0.842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 293756 and -52808.1.\nAnswer: 240947.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20298 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.110362 (b) -2\/5 (c) 1\/2 (d) 3 (e) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 103434000 + 1032?\nAnswer: 103440032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -7*d - 2\/3*d**3 + 0 + 2\/3*d**4 - 1\/4*d**5 + 1\/30*d**6 + 0*d**2. Suppose t(j) = 0. Calculate j.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 339.14 rounded to the nearest ten?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*r + 4*r + 4*r**2 - 3*r**2)*((-3 + 1 + 3)*(r - r + r) - 17 + 31 - r + 2*r).\nAnswer: 2*r**3 + 58*r**2 + 308*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*((-23)\/66 + (-12)\/(-66)). Sort j, 2, -0.1, 5 in descending order.\nAnswer: 5, 2, -0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 3*o**5 + 975*o**4 + 55242*o**3 + 716082*o**2 - 1838541*o - 2500353 = 0?\nAnswer: -257, -47, -23, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.122 + -2.622. Sort -0.1, 3, 0.4, -3\/5, j in increasing order.\nAnswer: -3\/5, -0.1, 0.4, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 1115 - 1073. Calculate the remainder when m is divided by -4*2\/(-4)*11.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of 3*r**3 + r**2\/2 - 15*r. What is a(1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q**2. Let u(b) = 123 - 245 + 57*b + 122. Give g(u(c)).\nAnswer: 9747*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 9, l: 3}. Give prob of picking 3 l.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5857 from 0.4.\nAnswer: -5856.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -6, 0, 3, -4.\nAnswer: -6, -4, 0, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/13 greater than or equal to -856?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2133271 and 17507?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -705779 - -19755993\/28. Let b = 837\/4 + c. Factor 32\/7*o + 34\/7*o**2 + b*o**3 + 8\/7.\nAnswer: 2*(o + 1)*(o + 2)*(5*o + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3\/11, 0.3, 0.1, -2\/227 in ascending order.\nAnswer: -3\/11, -2\/227, 0.1, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 24\/(-42)*(-21)\/3. Suppose 63 = -a + k*a. Is 21 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -3*o. Let c = -4 + -3. Let m = c + 9. Sort m, 10, o.\nAnswer: o, m, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (47 - (-1 + 0 - -12 - 8)) + -29 + 30.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-286)\/33 - -10 - 2\/6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-501)\/(-167) - 2\/(-4)*-14\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p + 1971 - 8107 = 0. Calculate the highest common divisor of p and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2. Let b(l) be the third derivative of 0 + 1\/24*l**4 + 0*l + 0*l**3 - 10*l**2. Determine b(w(o)).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1 (b) -143 (c) -0.1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -233, -520, -911, -1400, -1981, -2648, -3395?\nAnswer: -4216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 0*d + 4*d)*(-6 + 11 + 8 + 3).\nAnswer: 16*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 2, 15, 91 in decreasing order.\nAnswer: 91, 15, 2, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -5*b**3 + 11*b**2 - 6*b + 1. Let a(y) = y**3 - y**2 + y + 1. Let m(z) = 6*a(z) + k(z). Let l = 13 - 18. What is m(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -7*h - 183. Determine v(18).\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of -x**2\/2 + x + 1. Let m be c(-3). Solve -m*y = -4*k + 21 - 9, -k + 1 = -3*y for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1498, -1004, 1470, 5924?\n\"Answer: 990*p**2 - 2476*p - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34165 is divided by 10702.\nAnswer: 2059","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2. Let a be q(1). Let g be a\/((-113)\/(-38) + -3). Suppose 3*w - n = g, 2*w - 5*n - 12 - 9 = 0. What is the greatest common divisor of 143 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-5\/11)*w*w)\/w**(-1\/7) assuming w is positive.\nAnswer: w**(207\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - f**2)*(-3 + 2*f + 3)*(3*f + f - f)*(3*f - 3*f + f).\nAnswer: -6*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 187*d**4 - 6*d**3 - 7201 wrt d.\nAnswer: 748*d**3 - 18*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13352498.\nAnswer: 2, 401, 16649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 4*a**3 + 3*a**2 + 8*a + 3. Let f(w) = -w**3 - w. Let y(d) = 5*f(d) + j(d). Give y(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23786.4195 seconds in days?\nAnswer: 0.27530578125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b + 18b9721?\nAnswer: 18b9714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 1\/266262 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1216050 divided by -5\nAnswer: 243210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(-3*j**2 + 1732*j - j**2 + 6 - 1733*j).\nAnswer: 4*j**2 + j - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -8. Suppose -c + 4*p + 19 = 0, 6*c - 4*c - 32 = t*p. List the prime factors of c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b. Let v(u) = 3*u**2 - 2*u + 2. Let g(z) = 15*z**2 - 11*z + 11. Let r(c) = -2*g(c) + 11*v(c). Give y(r(i)).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(((-9)\/(-1))\/(-3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 576216119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/934 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4719, 359, 5437?\n\"Answer: 5078*i - 9797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 736?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -338\/21*k - 340\/21 + 2\/21*k**2.\nAnswer: 2*(k - 170)*(k + 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 times -1.5?\nAnswer: -13.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 27352363.3 and 11179.\nAnswer: 27363542.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of 6*p + 0*p**2 + 0 + 0*p**3 - 2\/3*p**4. Let h(t) be the third derivative of -7*t**5\/60 + 1728*t**2 - 1. What is h(m(u))?\nAnswer: -448*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/65026 and 5\/14762?\nAnswer: 7868146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + 432\/(-32) - ((-1288)\/(-12))\/(12\/(-9)).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + p - 7. Suppose 3*n + 20 = 4*r + 55, 4*r = -3*n - 5. Let o be u(n). Calculate the greatest common divisor of 253 and o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4505 * -0.2\nAnswer: -901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7 - 16 - -1632 - -10.\nAnswer: 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q + 42*q**3 - q**4 - 40*q**3 + 3*q - 10*q**2 + q in the form g*q**2 + z*q**3 + i*q + a*q**4 + d and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -51, -65, -79, -93?\n\"Answer: -14*d - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/12, 3, 0.\nAnswer: 0, 1\/12, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 2) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - r - 1. Let d(t) = 4*t - 2. Let l(b) = -b**2 - 15*b + 9. Let k(n) = 8*d(n) + 2*l(n). What is -4*a(x) - 3*k(x)?\nAnswer: 2*x**2 - 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 - -22302?\nAnswer: 22320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1524.008 plus -3?\nAnswer: 1521.008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -112 (base 4) in base 12?\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5878 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*y - 2153 - 6*y + 2150)*(-1 - 3 - 1 - 3).\nAnswer: 104*y + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -3*c**2 - 14*c - 9. Let a be f(-8). Let v = a + 92. Factor -81*b + 108 + v*b**2 + 47*b - 2*b.\nAnswer: 3*(b - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3\/41 - 62\/287. Let m = -51\/2 - -26. Which is the second biggest value? (a) l (b) m (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1434?\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 543*l + 2175. Let g be h(-4). Let u(p) = -2*p - 7. Let v be u(-5). Solve -g*z + v*w + 14 = -13, -2*w = -3*z + 23 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 3*x**2 + 4*x + 3. Let w be g(-2). What is the remainder when (39 + w)\/(6\/3) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000111 - -11011011?\nAnswer: 100100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and 3312.2063?\nAnswer: 3312.5063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**0*u)**(-4))**4*(u*u**(3\/2))\/((u\/(u*u**(2\/3)))\/u)*(u\/(u*u**(-2\/9)*u))\/u*u**(-2) assuming u is positive.\nAnswer: u**(-569\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 1)\/(-2) - -5. Let c = h - 2. Is c\/(-3) + -1 + 16 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -3*q - q + 18, 5*p + 5*q = 75. Calculate the remainder when p is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-307)\/(77364\/1092)*(-666)\/26.\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 42 + 14509.\nAnswer: 14551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**(-2\/7)))**(-2\/123)*d**(2\/11)\/d**(1\/3) assuming d is positive.\nAnswer: d**(-493\/3157)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c + 0*c - 110*c**2 + 35 + 111*c**2)*(-5*c + 3*c + c) to the form p*c**3 + f + x*c**2 + w*c and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - 0)\/(4\/(-8)). Let v(x) = m*x + 0*x + 2*x - 3*x. Let q(a) = -a. What is v(q(r))?\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/38 and -43\/332.\nAnswer: 6308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + w - 31. What is the remainder when 17 is divided by q(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*w**2 - w**2 - 2*w**2 - 3*w)*(-338*w + 702*w + 362*w + 717*w + 244*w) to the form d*w**2 + f*w + g*w**3 + s and give d.\nAnswer: -5061","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -92 - -95. Solve -8 + 5 = n*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -194 + 398. List the prime factors of x.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 178afc (base 16) in base 15?\nAnswer: 207258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -48\/7843 and -26\/341?\nAnswer: 7843","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.08 + -0.03. Let m = -4.89 + v. Let y(j) = -j + 3. Let f be y(0). Which is the biggest value? (a) 1 (b) m (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17225 - 23.3083.\nAnswer: -17248.3083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -28667746952\nAnswer: -28667746948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 2 = 4*s. Let o = 40 - 31. What is the units digit of s\/(o\/(-6)) - -9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2112011 (base 3) to base 6\nAnswer: -12304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence in when two letters picked without replacement from {t: 4, n: 7, v: 2, i: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 5*b**3 + b**2 - 19*b - 6. Let a(h) = 6*h**3 - 20*h - 6. Let z(u) = -4*a(u) + 5*o(u). Let l be z(-7). Is ((-4)\/18 + (-9051)\/(-27))\/l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -35 and -615610.\nAnswer: -615645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - x)*(1 + 2 - 5)*(-11 - 81 + 6)*(x + 1 - 1) + 2*x**2 + 1 - 1.\nAnswer: -170*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001498 rounded to 6 decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-555)\/(-9) - -4)*3 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14\/8 - 1\/(-4). Let h = -4 + 19. Suppose -5 + 2 = -j + 2*f, -5*f + h = 5*j. Solve -j*i - 3*s = -6*i + 9, -i - y*s = 9 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**2. Let x(k) = -k + 43046. Determine x(v(q)).\nAnswer: 2*q**2 + 43046","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - 9*h + 1. Let q(u) = u. Determine -6*q(p) - r(p).\nAnswer: p**2 + 3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10477.\nAnswer: 10477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of o**4\/12 - 5*o**3\/3 + 3*o - 2. What is z(7)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 45 - 41. Suppose -w*c - 4*b + 5*b + 2039 = 0, 3*c - 1538 = -b. Let o = c - 326. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 v when three letters picked without replacement from gglvvl.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 335*m. Let h(j) = 24*j - 3. What is b(h(i))?\nAnswer: -576*i**2 + 8184*i - 1014","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 0.1, -30, 5, 3\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a**2 - 3*a**2 + 3*a**2)*(a**2 + 0*a**2 + a**2).\nAnswer: -6*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -72*o**3 - 8*o**2 - 24*o - 2. Is v(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -19*f - 6. Let u be x(-2). Let o be (16\/u)\/((-1)\/(-10)). What is the highest common divisor of o and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 20.849 and -5.84.\nAnswer: -121.75816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 7 - (-2 - 4 - -4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1)**(2\/41)\/((o\/o**(1\/3))\/o)**(-4\/37) assuming o is positive.\nAnswer: o**(58\/4551)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 873.5339 minutes to nanoseconds.\nAnswer: 52412034000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 2*d**2 + 4*d + 4. Let z be x(-2). Which is the second smallest value? (a) 6 (b) z (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-6*((-2*sqrt(96))\/sqrt(8))\/(2*sqrt(12)\/sqrt(2))*6.\nAnswer: 108*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.304 and -0.3249991.\nAnswer: -0.6289991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (396\/88)\/(2 + (-15)\/12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -23 - 17. Let r be (4\/5)\/(t\/(-25)). Let n = r - -4. Does 6 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1313498+-269216\nAnswer: 1044282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + sqrt(1088))**2*1 - 4*(-1 + ((1 + sqrt(1088))**2 - sqrt(1088))).\nAnswer: -10886 - 128*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - (-41 + (-47 - -84 - 122))?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.4 (b) 3 (c) 85 (d) -2\/3 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-9)\/4)\/(2\/(-16)). List the prime factors of (-520)\/6*w\/(-15) - 2.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (53 - 8) + -35 - (-1 + 3 + 46)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/14)\/(((-89667)\/2296)\/243)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(270)\/((sqrt(315)\/sqrt(5) + sqrt(63))\/sqrt(7)))\/(-1*(sqrt(384) - (sqrt(384) + sqrt(384) + sqrt(384) + 3*sqrt(384))))*-4 + 0.\nAnswer: -sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -5*v + 147. Let f be j(29). Calculate the remainder when (f + 1)\/(33\/1551) is divided by 55.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11922*c**3 - 3815*c**3 - 8738*c**3.\nAnswer: -24475*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + -1)*(-1 + 0). Let t be (2\/(-4))\/((-90)\/(-440)). Let w = 16\/9 + t. Is w less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + 11*h - 35. Determine j(-14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(156)*-1*-1)\/(4*(-2*sqrt(300) + sqrt(300))).\nAnswer: sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 555 is divided by 155.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -49\/342 - 3\/38. Sort w, 2\/33, 2\/9, 3\/4 in decreasing order.\nAnswer: 3\/4, 2\/9, 2\/33, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21056 and 31913.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00048446581 to 5 decimal places.\nAnswer: 0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -3*w + 5*v - 13, -2*w - 4*v + 2 = 0. Let d(g) = 4*g + 12. Let c be d(w). Let q be ((-2)\/135)\/((-4)\/(-20)). Which is smaller: c or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 5:21 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31.8 - -32. What is the third smallest value in 1\/6, 1.7, m?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10858107 (base 10) to base 14.\nAnswer: 1629071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3731658*i + 16401843?\nAnswer: -3731658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5969751.\nAnswer: 3, 71, 28027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 772, 739, 706, 673, 640?\nAnswer: 607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 642 is divided by 359.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 536030920 - 3.\nAnswer: 536030917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence usu when three letters picked without replacement from fusfuffsfff.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3579, -7152, -10725, -14298, -17871, -21444?\n\"Answer: -3573*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 13. Let f(t) = -2343270*t. What is f(n(p))?\nAnswer: -2343270*p**2 - 30462510","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9092394 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -202 - -526. Let i be ((-1)\/(-2))\/((-9)\/y). Let k(f) = f**3 + 19*f**2 + 19*f + 22. Calculate the remainder when 4 is divided by k(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18648560 and 560.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l**3 - 4*l**3 + 5*l**3 + 6*l**3 - 4*l**3.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6 - (3*(-2)\/(-2) - (321 + -172)). Calculate the highest common factor of i and 1036.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3995*q + 4707*q - 12941*q + 1919*q - 13072*q.\nAnswer: -23382*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86728414.\nAnswer: 2, 43364207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j - 104*j**3 - 5*j + 38*j**3 - j.\nAnswer: -66*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1167909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22023 - 21?\nAnswer: -22044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15398, -63563, -143838, -256223?\nAnswer: -400718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 229 + -259 + (2 - 2 - -4)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 t, 1 j, and 1 u when four letters picked without replacement from jiitgjjitiigiu?\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0, -0.5, -16, 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 3*b = -66000. Round b to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in -13, -2, 0.1, -1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 354*h + 17 = 355*h - m, m = -14 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 0. Let r = 117 - 116.9. Let x = 152 + -152.3. Which is the nearest to r? (a) x (b) d (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 10*j**3 - 4156*j**2 + 4156*j**2 + 7 - 6*j. Let x(v) = -29*v**3 + 17*v - 20. Calculate 17*m(b) + 6*x(b).\nAnswer: -4*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5526 + -3?\nAnswer: -5531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002485085469 to seven decimal places.\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3*f**2 + 3*f + 3. Let q(w) = 3*w**2 - 3*w - 2. Give -3*l(d) - 4*q(d).\nAnswer: -3*d**2 + 3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -8. Let n be 10\/15 + (-26)\/(-6). Find the third derivative of g**n + 0*g**c + g**2 - 13*g + 13*g wrt g.\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 387684 is divided by 53.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 20282 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-4)\/(-8)*4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 46669568 less than 0.2?\nAnswer: -46669567.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-6)*14\/(-1 - 6). Let y(a) = 14*a + 31. Let v be y(b). Calculate the highest common divisor of v and 240.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2*a - 5*b + 40 = 0, 5*a = -2*b + 31. Suppose -d = -3*s + 16 - 43, -d - 5*s = a. Calculate the common denominator of -61\/24 and 232\/180 + 9\/d.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 1. Let r = -3641 + 964867\/265. Let d = r + -112\/795. Which is the smallest value? (a) d (b) q (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5636 to the power of 1\/2, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 242*d + 41*d + 177*d + 78*d + 26*d.\nAnswer: 564*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 5 - 46*s - 24 + 49*s. Let g be p(7). Suppose -483 = g*x - 9*x. What are the prime factors of x?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 58185 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*(3 + 5 - -2). What is the remainder when 86 is divided by (-425)\/a - 6\/(-8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 552 and 396888.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -4*g**3 - 517*g + 1046. Determine u(2).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + -3 - -1) + -6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.238 rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 125*g - 211*g - 93*g - 20*g. Let r(i) = 3*i. Give y(r(n)).\nAnswer: -597*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32523 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -894 - 2?\nAnswer: -896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2537?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*v - 4*v - 48. Solve -8 = -s - 2*m, -m + 5*m = -4*s + v for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s + 16. Let u(l) = -2*l + 3. Let n be u(5). Let b be d(n). Calculate the smallest common multiple of b\/6*(-4)\/(-2) and 5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u - 5. Let g(k) = 3*k**2. Calculate g(y(n)).\nAnswer: 27*n**2 + 90*n + 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 14229 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9271 = 3*y - 19*s - 9002, -4*s + 56 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - k + 2, 2*k - 2 = -5*f + k. Suppose -3*m = -5*b - 7 + 26, -4*b - 4*m + 28 = f. Suppose -b = 5*a, -2*z + 2*a = -2*a - 4. Sort 2, z, -1.\nAnswer: -1, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 10) in base 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 10) to base 16\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 272\/1050 + 502\/18825.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2300212230 (base 4) to base 2\nAnswer: 10110000100110101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000776615 rounded to seven decimal places?\nAnswer: -0.0000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.113984 + 0.086016. Let t = 0.1 + -0.3. Which is the closest to y? (a) 4\/3 (b) t (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + r + 2. Let g(x) = 22*x**3 - 94*x**2 + 4*x + 8. Let j(h) = g(h) - 4*q(h). Find the third derivative of j(a) wrt a.\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -267\/2, -2, 3, -0.128 in decreasing order.\nAnswer: 3, -0.128, -2, -3, -267\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*100\/(-28)*(-7)\/7.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 32 + 12. Suppose -4*t - 4*o + 0 = -4, z*t - 17 = o. Suppose 0 = -5*p + 18 - t. Solve 0 = p*y - 4*b - 16, 3*y + 0*y - 3*b = 15 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 k, and 1 i when three letters picked without replacement from {k: 1, d: 1, i: 1, s: 1, j: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 41, -3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 419 a factor of 1817309934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)\/sqrt(6) + 2)**2 + 3.\nAnswer: 4*sqrt(17) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00046728 to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 125*d. Let n(p) be the third derivative of p**4\/8 + 2*p**2 - 371*p. Calculate n(x(k)).\nAnswer: 375*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 400519 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35086?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 63 and 3747.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**2 + 77*n - 20575. What is r(84)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 2*g - 8 = -i, 2*i - 2*g - 12 = 0. Let t(b) = -b**3 + 4*b**2 + 2*b - 5. Let l be t(i). Factor -4*u**4 + 8*u**l + 3*u**2 + 2*u**4 + 5*u**2 + 4*u**4.\nAnswer: 2*u**2*(u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 4162770.\nAnswer: 8325540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -n**3 - 5675729*n**2 - 8053472082495*n + 8053477758225 = 0.\nAnswer: -2837865, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 9:53 AM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 4 + sqrt(2057) + -1*sqrt(2057) + -1*sqrt(272)*-1 + (0 + sqrt(272) - sqrt(272)) + -3)**2.\nAnswer: -8*sqrt(17) + 273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = 3*o + 3, 3*c - 4 = 2*o - 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - (-14 + 36)) + 1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 2*p - 3*p - 6 = 0, 16 = 4*i - 4*p for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2 = -3*u, -5*l - 12 + 5 = -u. Suppose u*k = 2*w - 20, 8*k = 3*w + 3*k - 28. What is the greatest common factor of w and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4\/3 - 868*c**3\/3 + 94178*c**2\/3.\nAnswer: 2*c**2*(c - 217)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6604?\nAnswer: 2, 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*i**4 + 82863*i**3 - 16*i**2 - 16*i + 816 wrt i.\nAnswer: 48*i + 497178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 5*t - 7. Let u be d(5). Suppose z - 4*z = y - 5, 20 = 4*y + 3*z. What are the prime factors of (u\/y)\/(2\/5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/5)*x)\/(x*x**4\/x))**(3\/2)\/(((x**(2\/11)\/x)\/x*x**(-1\/6))\/(x*((x**(-5)\/x)\/x)\/x*x*x\/(x\/x**(-2\/7)))) assuming x is positive.\nAnswer: x**(-19637\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 2)*(2*f - 2*f + f**2) + (-3*f + 2 + 3*f + 2*f)*(-4 + 4 + 3*f).\nAnswer: 3*f**2 + 6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -6*q + 20. Determine b(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 316800 divided by 9\nAnswer: 35200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -378*r = -366*r - 17904. List the prime factors of r.\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -647 - -645. Sort -3, r, -3.99 in increasing order.\nAnswer: -3.99, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -1\/2*h**3 - h + 0 + 0*h**2. Let u(j) be the second derivative of j**3\/2 - 4*j. What is z(u(x))?\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 8:19 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + q)*(32646 - q**3 - 32646 + 163*q**4).\nAnswer: 163*q**5 - q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2*w = 766, -b = 3*b - 5*w - 606. Is b a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 19bb7 - -79?\nAnswer: 19c41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 42.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 273055626.\nAnswer: 2, 3, 31, 571, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11216574 and 3401?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of r**4*v - 2*r**4 - 431*r**3*v - 11074*r**3 + 145*r**2*v - 6*r**2 + 2*r + 554*v wrt r.\nAnswer: 24*r*v - 48*r - 2586*v - 66444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.4078 + 4.5078. Which is greater: -17457 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -0.35, 0.0334, 1, -3.\nAnswer: -3, -0.35, 0.0334, 1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of 7*f**2\/2 - 16. Let j(y) = y**2. Give j(h(u)).\nAnswer: 49*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 83*l**3 - 18*l + 50. Is i(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -2. Calculate the highest common divisor of i and 25.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 4*h + 5 - 19*h + 16*h. Let g(u) = -4*u**2. Calculate f(g(w)).\nAnswer: -4*w**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17001574 is divided by 770.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 5:12 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence et when two letters picked without replacement from teteee.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -u + v + 40, -v + 171 = 4*u. Suppose 4*n + 3*k - 21 = 0, -3*n + 2*k - 7 = -u. Solve 6 = 3*l - n for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.35 - 4.65. Let i = -6489 + 6489.3. Put w, -1, i in decreasing order.\nAnswer: i, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56810437949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -17575, 0.5, 59?\nAnswer: -17575","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 169 divided by -517911\nAnswer: -169\/517911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -450359*j**4 + 1883509*j**2.\nAnswer: -10808616*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fa when two letters picked without replacement from feeeeaff.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 14 = -5, t = p - 9. Let l be (2\/(-3))\/((-2)\/t). Let z(i) = 3*i**2 + 4*i + 2. Give z(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 4*b + 68, 5*b + 39 = -v + 5*v. What is the remainder when 45 is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5052 divided by 842.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -342.9 - -354. Is x < 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6954\/7 - 990. Calculate the common denominator of 29\/11 and t.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -4*x - 3*x + 3*x. Let f(i) = -i. Give c(f(v)).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j + 35. Let i be f(-11). Let n(c) be the first derivative of -c**4\/2 + 2*c**3\/3 + c**2 - c + 3. What is n(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - -30 - (-9 - -8). Suppose l*q = 27*q. Let j = 227564\/97 + -2346. Is q greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (60271\/8)\/(-2*(-25)\/(-40)). Let r = g - -6033. Let s = 9529\/10 - 952. What is the common denominator of r and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -292 divided by 5?\nAnswer: -292\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 - 1c?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*i - 38779 - 9801 = 0. Is 1387 at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.35188283 rounded to four dps?\nAnswer: -1.3519","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -5805044?\nAnswer: -1\/1451261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15837, -31674, -47511, -63348, -79185, -95022?\nAnswer: -110859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 44408923 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1333 divided by -154?\nAnswer: 1333\/154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 14. Are k and -5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 is divided by 42?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 PM and 1:46 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 12:25 AM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 6 + 0)*(-4 - n + 4)*(0*n**3 - n**3 + 2*n**3) to f*n + b*n**4 + c*n**2 + v*n**3 + t and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 12. Suppose -3*g - 5 = x, d = -2*g - 2*g - x - 5. Let f(z) = -z**3 - z**2 - z + 14. Is 7 a factor of f(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9773 - -9806. Solve y*w - 17*w = 48 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x**5\/3 - 25*x**4\/3 - 773*x**3\/3 - 2959*x**2\/3 + 8332*x\/3 - 4576\/3 = 0. What is x?\nAnswer: -13, -8, 1, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 95683968 by -747531.\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 546.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*18\/(-20))\/9?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -0.476, -0.6, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.933 and -7938.8.\nAnswer: -15345.7004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-390)\/(-10)*3\/13.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34732.69l to millilitres.\nAnswer: 34732690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 5*(-2 + (1*sqrt(208))**2).\nAnswer: 1028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.16177971+0.2\nAnswer: 0.03822029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 + 92 = 2*m - 4*l, 13*m - 29*l + 52*l - 25*l = 481 for m.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 1 - 2)*(9*p**2 + 16*p**2 + 14*p**2) + (-2*p + 2*p - p)*(-p + 5*p - 2*p) - 3*p**2 + 6*p**2 - 2*p**2)*(-2 - 2*p**3 + p**3 + 0*p**3).\nAnswer: -116*p**5 - 232*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 3:16 AM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-28)*(-266)\/12 + (-8)\/(-12).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83.4288um to kilometers.\nAnswer: 0.0000000834288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10554*111\nAnswer: -1171494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2766, 5760, 8514, 10908, 12822?\n\"Answer: -20*h**3 + 3134*h - 348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 5, -1, 2 in descending order.\nAnswer: 5, 2, 3\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 6 - 3)*(v**3 + v**3 + v**3) + (3*v + 0*v - 2*v)*(3*v - 3*v + 4*v)*(4 - 4 - 2*v) to the form k*v**3 + h*v**2 + d*v + g and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*u + 11*u + 2*u)*(4*u - 2*u + 0*u).\nAnswer: 50*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -16555912 divided by -51?\nAnswer: 16555912\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**3 - 11*b**2 + 39*b - 373. What is a(8)?\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + j = -4*j - 4, -4*g + 53 = -3*j. Suppose -23 + g = -2*y. Let h(l) = -l + 21. What is the smallest common multiple of h(y) and 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 + 3.9. Let q = -17 - -13. What is the biggest value in 0.5, q, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5190?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 - 21. Calculate the smallest common multiple of 18 and (d\/(-6))\/((-2)\/72).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55181 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.03 >= 6\/38797?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 7)*(0*h - 5*h + 3*h)*(24 - 24 - 7*h**2 - 2*h**2 + 4*h**2 - 3*h**2 + (2*h - 3*h - h)*(4*h + 2*h - 4*h)).\nAnswer: 144*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-2\/9)*o)**31 assuming o is positive.\nAnswer: o**(620\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 - 6 - (104 - 190) - (2 - 20)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -5*q**3 + 27*q**2 + 64*q + 8. Let g(f) = -34*f**3 + 180*f**2 + 448*f + 55. What is 3*g(v) - 20*s(v)?\nAnswer: -2*v**3 + 64*v + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, y: 1, z: 2, r: 1, k: 2, q: 1}. What is prob of picking 1 q, 1 y, and 1 v?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1750802 take away -2.2?\nAnswer: 1750804.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-five halves of a meter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (27498*t + 6048*t + 25472*t + 8840*t - 17788*t)*(1 + 2*t - 1) in the form b + u*t**2 + a*t and give u.\nAnswer: 100140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 31 + -22?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 246618 and 657648?\nAnswer: 1972944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 3*h**2 + 31*h**2 + 8*h**2.\nAnswer: 36*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -3404*k**2. Let y(u) = -41*u**2. Let v(z) = -4*d(z) + 333*y(z). Let m(n) be the second derivative of -n**4\/3 - 10203*n. What is v(m(t))?\nAnswer: -592*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16 times 6.065?\nAnswer: -0.9704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1313*m**2 + 1316*m**2 + 0 + 43*m**3 - 3 wrt m?\nAnswer: 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4206446 (base 7) in base 13?\nAnswer: -149705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**3 + s**2 + 13*s + 12. What is the remainder when 767 is divided by u(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -12*z. Let m(j) = -2648744*j. Give m(a(b)).\nAnswer: 31784928*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + 18 + 0 + 1. Let m = -13 + n. Let l be m\/(-6) - 3\/(-2). Solve -5*t - 15 = -l*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + -2. Which is the closest to 2\/7? (a) 3\/5 (b) d (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -66 (b) 576 (c) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 254*m + 10 = 259*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 17*n**4 + 8*n**4 + 11*n**4 + n**3 - 1 in the form u + s*n**4 + v*n**3 + l*n**2 + a*n and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of c**3 - c**2 - 4*c + 3. Suppose 2*i = -i + 12. Does 18 divide f(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + 61 = 11. Let u be (-6)\/(-30) + 14\/o. Suppose 5*b = u*b + 124. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 4*c**2 - 72*c + 260 = 0.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 3*w + 5 = 0, 0*w = -w + 5. Let s(b) = b**3 + 3*b**2 + 10*b + 1. Let y(v) = -v**3 - 3*v**2 - 9*v. Let f(t) = 5*s(t) + 6*y(t). Is f(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1136983 - 330549 = -46*y - 273786. List the prime factors of y.\nAnswer: 25951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.1 (b) 0.069 (c) -2030 (d) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26.954 - -0.046. Let q = 26.74 - r. Round q to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 - -7 - 5)\/(12\/(-16)). Sort 172, 1, v.\nAnswer: 1, v, 172","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1397753*m**3 + 5*m**2 - 9*m - 951501757 wrt m?\nAnswer: 4193259*m**2 + 10*m - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000656846013 rounded to six decimal places?\nAnswer: 0.000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 95 = 93. Solve u + 3*a = 7, w*u + 2*a = -8 + 6 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(484) - (-2*sqrt(484)*3 - sqrt(484)))\/sqrt(11) + (sqrt(308)\/sqrt(63) - (-5 + (sqrt(44) - sqrt(132)\/sqrt(3)) + sqrt(44))))*5.\nAnswer: 25 + 220*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12643375 is divided by 66?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -146.11088914873 - -0.13\nAnswer: -145.98088914873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-5))\/(26\/(-65)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1 - (-7 - -6 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 317*p + 176*p = -28*p + 5210 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/7 + (-45)\/(-84). Let t = 14460.5 - 14460. Let z = -0.04 + 0.24. Which is the nearest to -4? (a) q (b) z (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -730a (base 12) in base 3?\nAnswer: -122012101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -802 - -1572. Is 55 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**3 + 2196*p**2 + 78586*p + 76392 = 0. Calculate p.\nAnswer: -1061, -36, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 4*v. Let j(r) = 2*r + 5. Suppose -4*y - 15 = 13. Let a be j(y). Let x be 6\/a - (-8)\/(-6). Calculate l(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -n - 7*g + 5, 0 = -2*g for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/306)\/(58*(-3)\/(-261)).\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4988 divided by -29\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1691698*-0.01.\nAnswer: 16916.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of g**6\/180 + g**5\/90 - g**4\/9 - 4*g**3\/9 + 6*g**2. Suppose q(d) = 0. What is d?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-156)\/(-143))\/((-84)\/3388).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 436\/63 - 50\/7. Suppose 0 = 3*l - 5*l - 40. Let k = l - -23. Do r and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18176781 divided by 1533.\nAnswer: 11857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -5 + 4*((sqrt(768)*1 - sqrt(768)) + 5 + 1 + sqrt(768) + sqrt(768) + -1)**2.\nAnswer: 1280*sqrt(3) + 12378","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 22 = -2*n, 5*d + 2 = -5*n + 7 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -42*k - 53. Is b(-13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*i + 53*i + 18 = 0. Solve 4*c + 2 + i = 0, -10 = 5*a - 5*c for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3643 = 19*s + 81*s - 2657 for s.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -23*u**3 + 7*u**2 + 6*u + 16. What is the hundreds digit of r(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -96 + 176. Suppose k - 6*k - r = -5*x, -2*x + 5*k + 47 = 0. Let a(b) = -5*b + 1. Let c be a(-2). Is x != c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4129*x**4 - 16867 + 7689 + 2401 with respect to x.\nAnswer: -16516*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 99868837 to the nearest integer?\nAnswer: 9993","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2479 - 2456. Let k(c) = -3*c + 68. Calculate k(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43 + 69 - 30 - 2*n**2 + 3*n**4 - 4*n**3 to the form p*n + z*n**4 + k*n**2 + c + s*n**3 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.08 - 3.92. Let v = 3.9 + r. Let n = v + 0.1000048. What is n rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 10, -1\/8, -34, -3, 1\/3?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -5*l**2 + l. Let m be r(1). Let u(k) = -k**3 - 4*k**2 + 39*k - 216. Let h be u(-10). Suppose -5*i - 15 = 10. Put m, h, i in increasing order.\nAnswer: h, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + 10. Calculate the remainder when 39 is divided by q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2*k - 2118 = 2*k, -3*l - k + 3142 = 0. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 14*h**3 + 8*h**2 + 140*h + 6. Let r(i) = 5*i**3 + i - 1. Let y(a) = -p(a) - 6*r(a). Find the second derivative of y(m) wrt m.\nAnswer: -264*m - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -236, 1 in descending order.\nAnswer: 6, 1, -236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 30 - 29 - (72 + -78 + 0 + 32)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(60)\/(sqrt(6)\/sqrt(3) + sqrt(2)))\/(-6*sqrt(96)).\nAnswer: -2 - sqrt(5)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 + -7 - ((-1 - -2) + -10). Suppose 8*w = -o + 4*w + 16, -2*w - 10 = -4*o. Suppose -4*q + 4*y = -108, -4*q + t*q - o*y - 86 = 0. Does 22 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47458 is divided by 9484.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 26 + -12?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16801, -33606, -50411, -67216?\nAnswer: -84021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -k**5\/6 + 191*k**4 - 72962*k**3 + 27871484*k**2\/3 = 0?\nAnswer: 0, 382","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4569 is divided by 37.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of p**7\/350 + p**6\/20 + 9*p**5\/100 + 2*p**2 + 4. Factor d(u).\nAnswer: 3*u**2*(u + 1)*(u + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-5)*(-50)\/(-4). Solve -4*n + v = -3*i, 3*n - 3*i = 5*n - 14 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -118500854, -237001707, -355502560, -474003413?\nAnswer: -592504266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 60 = -n + 5*n, 5*n + 2 = f. Suppose -8*m = -10*m + f. Suppose 4*x - 145 - m = 0. Is x a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-988)\/(-361))\/(-26)*-95?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5605 and 95.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 7*i**2 - 4*i + 4. Let l be m(7). Let v = l + 37. Suppose -q = -v - 4. Is 11 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**13)\/d*d*d**2*d**(4\/15)*d\/(d*d\/((d*d**(3\/7))\/d)))**(-21))**(-2\/21) assuming d is positive.\nAnswer: d**(-2164\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, 94708, 1 in descending order.\nAnswer: 94708, 1, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, 49 in decreasing order.\nAnswer: 49, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4398989, -8797999, -13197009, -17596019, -21995029, -26394039?\nAnswer: -30793049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 2*z**2 - z - 6. Let t be h(3). Is 851 - -1 - (t + (1 - -2)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (165*d - 124*d + 369*d)*(8*d - d - d).\nAnswer: 2460*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 155 or 157?\nAnswer: 155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**2 - 5 - 11 + 34 - 7*s to q + l*s**2 + a*s and give q.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/(-8))\/(2 + (-135)\/72). Is (-183015)\/(-165) + (k\/(-33))\/1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122559.\nAnswer: 3, 40853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4*(630\/24)\/(-15)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 1:20 AM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 205860 by -6.\nAnswer: -34310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12209 + 12473. Let n = 264 - 83. Suppose 0 = -b - f + n + 87, 5*f = -b + g. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 8*x**2 + 12*x + 2. Let m(f) = 4*f + 6. Let a be m(0). Let n be j(a). Does 9 divide n\/12 + 1455\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2848 (base 12) to base 9.\nAnswer: -6352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00137104 to four decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11860 (base 9) to base 10.\nAnswer: 7992","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 5*w + 10, 5*w + 2*z = 4*z - 10. Let o(p) = -2*p**2 - 2*p + 1. Let q be o(w). Which is the closest to q? (a) -0.1 (b) 3\/4 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - 7*q + 3. Let g be s(-5). Solve u = 2*b + g, -4*u + 48 = -5*b + 8 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 2, 6, 3, 2748 in ascending order.\nAnswer: -3, 0, 2, 3, 6, 2748","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1312 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*s - 16 + 16)*(1 - 2 + 5).\nAnswer: -64*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 565, 1\/2, -5, -1\/2, -2\/80805?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 9*x**2 + 7*x + 7. Give m(7).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29120 + 70537. What is the ten thousands digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 = 2*u + 173. Which is the closest to 4? (a) 2 (b) u (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3899 divided by -7.\nAnswer: -557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, r: 4, n: 1}. What is prob of picking 4 r?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*w + 261*w - 119 = 137*w. Suppose -10 = -8*h + 3*h. Put -3, w, -1, h in increasing order.\nAnswer: w, -3, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 770897115 is divided by 4254.\nAnswer: 4251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 158525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/2 (b) 4 (c) -365\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*p**2 - 6 + 33*p**2 - 26*p**2.\nAnswer: 19*p**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 6*o + 123 = 0. Let q = -26 + o. Calculate the remainder when 4*(4 - 5) + (0 - -48) is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04586384 - 0.04905\nAnswer: -0.09491384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 233.96 - 248. Let y = h + 14. Let n = -0.17 + y. Which is the second biggest value? (a) 3 (b) -0.3 (c) 0.1 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = 4*a + 6, 4*h - 1382 = -a - 1393 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 97669 and 4098.\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x - 2. Suppose 5*k = 5*d - 3*d - 39, 3*d - 21 = -5*k. Let l be 1\/(4\/342) - d\/24. Let f = -81 + l. Calculate i(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 696 divided by -174\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1456)\/(-10) - (-2)\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*c + 3760 = -4239 + 7518 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nbnzubzznzbuzoz. What is prob of sequence zzob?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 32.908 and 28120?\nAnswer: 925372.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*j - 48*j - 2716 = 93*j for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 741 + -2?\nAnswer: 73e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 38*t**4 + 29644*t**3 - 56616*t**2 - 244016*t - 25024 = 0. Calculate t.\nAnswer: -782, -2, -2\/19, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/10 - 1\/30. Let v = -2\/5 + h. What is the biggest value in v, -8, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 495 and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12.0263 - -0.1163. Let o = y + 12. Let m = o + -0.09000018. Round m to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssssisisss. What is prob of picking 2 i?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-410)\/(-7) + 6\/14 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1884172?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-5*(sqrt(475) - (1 + sqrt(475)*-1)))**2.\nAnswer: -2000*sqrt(19) + 190100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3982474?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*s + 822 - 260 = 16*s - 1733 for s.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 3*r - 54 = 0, 0*y - 4*r - 4 = -y. Suppose -14*b = -y*b - 140. What are the prime factors of b?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - v + 5*f + 5 = 0, 0 = 5*v - f - 25. Let n(s) = 2*s**3 - 3*s**2 + s - 1. Let l be n(2). Solve 4*h = 4*g - l*g - v, -5*g - h + 8 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 280.1 rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81, -246, -701, -1590, -3057, -5246, -8301?\nAnswer: -12366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13026 + 0?\nAnswer: 13026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1726 times -28.05\nAnswer: 48414.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 265\/(-36) - (-63)\/9 and -19\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 278603.31194 + -276316.812. Let g = -2290 + a. Let j = g - -3.5. What is j rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of -l**3\/3 - 13*l. Let z(j) = -2*j**2 - 5. What is z(s(i))?\nAnswer: -8*i**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + 5 - 6) + -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -0*x + 24. Let q = 49\/2 - x. Which is the second smallest value? (a) q (b) -4\/3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5 = -2*j. Let c(q) = 6*q**2 - q + 9. What is the tens digit of c(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**2\/5 - 91386434*d\/5 + 91386432\/5 = 0. What is d?\nAnswer: 1, 45693216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -483 + 489. Solve 0*f + q = -3*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 24 = w + 4*w, 4*h - 2*w = -24 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 125*c - 5137*c**3 - 4 + 5133*c**3.\nAnswer: -4*c**3 - 125*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c - 82*x + 85*x - 9, 24*c + x = -147 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -900584 divided by 112573.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10573 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 177*p + 18. Let j(l) = -23*l - 2. Let a(z) = 46*j(z) + 6*n(z). Calculate a(-9).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 486805796 less than 652890?\nAnswer: -486152906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of -l**3\/3 - 3*l**2 - 3*l + 1. Let s(u) be the first derivative of b(u). What are the prime factors of s(-8)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(-55))\/((3 + -1)\/2).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n + 4*n - 3*n**2 + 4*n**2 + 1. Suppose -6*s = -3*s - 3*k + 18, 5*s + 34 = 3*k. Let g = s - -3. Give o(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -6 + (-14)\/2*(-336)\/98. Do 240\/13 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 220243 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1382711 is divided by 186?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 394891 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4241 = 3*q + 1403. What is the remainder when q is divided by 79?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 19. Let u be 1\/3 - -1*70\/f. Solve -u = -4*j + 3 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1376 = -5*k - 201. Suppose k = 3*z - 86. List the prime factors of z.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -72.2402136 + 158.040141. Let b = k - 85.8. Round b to six decimal places.\nAnswer: -0.000073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2404 - -444. Round p to the nearest 100.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 - 6*w - 8. Let t be g(-4). Solve t = s - 2, 9 = 5*z - 4*s + s for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 * -6.881\nAnswer: -0.41286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1714384 and 238?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -5*y**3 - 15*y**2 + 187*y - 5. Let n(r) = 9*r**3 + 28*r**2 - 373*r + 9. What is -11*d(s) - 6*n(s)?\nAnswer: s**3 - 3*s**2 + 181*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -344, -324, -302, -278, -252, -224, -194?\n\"Answer: y**2 + 17*y - 362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/5363 and 59\/1384.\nAnswer: 42904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1330 and 6090?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 6. Let x be 284\/6 + 4\/(-12). Let f = -43 + x. Solve 2*p + f = -z*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 36*y**2 + 41*y + 4 - 37*y - 1. Is o(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -418*o**3*p**2 - o**3*p - o**2*p - 114*o*p**2 + 9*o + 16*p**3 + 2*p + 443370 wrt p?\nAnswer: -836*o**3 - 228*o + 96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 4:46 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 26759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2*y - 2127 + 10861 = 0, -2*r = 4*y - 3500. List the prime factors of r.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*b = -b - 22, 3*s + b + 26 = 0. Suppose -25 + 16 = 9*p. Put p, 5, s, 6 in decreasing order.\nAnswer: 6, 5, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -1 (b) 2\/13 (c) 68 (d) 1\/3 (e) 46.14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15675*o**2 - 15677*o**2 - 14*o**3 - 49*o**3 - 129 wrt o.\nAnswer: -189*o**2 - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -26? (a) -0.3 (b) 0.5 (c) -0.11 (d) 32 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-10))\/((-1)\/5). Suppose 5*h + 17 = -5*c - z, -4*h = -c + 1. Suppose 2*m + f + 6 = 7*m, 4*m = 2*f. Sort h, m, -5.\nAnswer: -5, h, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - b. Let j be t(-1). Suppose -4*g = j*p - 48, -2*g = -g + 3*p - 17. Does 11 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18155 and 15?\nAnswer: 54465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x**2 - 190*x + 1410. Let t be j(8). Solve 6 = -84*r + t*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q + 2609. Let a(h) = -7*h - 22. Give a(u(j)).\nAnswer: -14*j - 18285","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43244 + -7438027\/172. Let w = k - -4\/43. Which is the fourth biggest value? (a) w (b) -1\/3 (c) 0.3 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**3\/2 - 3009*r**2\/2 - 124227*r + 125732 = 0. Calculate r.\nAnswer: -2924, -86, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 18785.7 and 0.25?\nAnswer: 18785.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 2*n - 5 = 0, 3*h - 2*n = 3*n - 15 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 54 - -41. What is the highest common divisor of n and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3292781 divided by -6.\nAnswer: 3292781\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -19084 - 4811.447\nAnswer: -23895.447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 277151763?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 242\/(-44)*(0 - (-14)\/(-308))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4308933 rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 60481022 a multiple of 1070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1410 or 1412?\nAnswer: 1410","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 57109 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -869 = 45*y + 34*y for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 133567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**2. Let n(x) be the third derivative of x**5\/15 - 14*x**2. Calculate n(k(l)).\nAnswer: 16*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28.7993833 + -28.8. Round w to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 5*s, t - 20 = -0*t + 3*s. What is the common denominator of -8 + t - (-24)\/33 and ((-39)\/(-130))\/(7\/(1036\/(-8)))?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + (4 - (-37 + 68)) + -10 + 1\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/(25\/(-20) + 2). Let z be (8 - -2) + m\/6. Suppose 2*u + 56 = -y + 5*y, y + 5*u = -z. Put -4, y, -1 in ascending order.\nAnswer: -4, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 862310861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -52, -52, -42, -16, 32, 108, 218, 368?\n\"Answer: u**3 - u**2 - 4*u - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*n = -495 - 1397 for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 + 6*k + 6. Let t be w(-5). Let n be t*(8\/4)\/2. Put -5, -1, n in descending order.\nAnswer: n, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -2*d**5\/9 + 8*d**4\/9 + 22*d**3\/9 + 4*d**2\/3 = 0.\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q**3 - q**3 + 4*q**3)*(16*q + 34 - 34)*(-73 - 7 + 24).\nAnswer: 1792*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 110286331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*f + 496 = 3196. Solve -31*s = -17 - f for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 2*d + 8*d.\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1062096 by 177016.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14.5 - -13. Let p = 3.5 + h. Let w = -0.05 - -4.05. Which is the second smallest value? (a) p (b) -1\/2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13.67 + 13. Which is greater: -0.4 or b?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -207910 to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.036 + -0.536. Let t be (3\/(-5))\/(2\/(-5)). Put t, p, 2 in ascending order.\nAnswer: p, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 2*m - 2, -m + 5 = a - 0. Let i(j) = -j + 6. Let p be 6 + -7 + (-2 - -1). Let l be i(p). Solve -a*w + l = -7 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -70, -169, -308?\nAnswer: -487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - z - 3218, -6*z + 8 = -4*z. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -310 + 318. Solve -u + 27 = q*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 760 is divided by 78?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 - 0. Let w be 2\/(-6) + 77\/(-21). Let u be ((-6)\/w)\/3 - (-17)\/(-26). What is the second smallest value in m, 2, u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 735708534.\nAnswer: 2, 3, 11, 11147099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58 + 0 - (-15 - (-18 + (2 - -6) + -1))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 51\/36 + 4\/(-6). Let z be -1 + 0 + 1365\/1355. Let m = z + 809\/542. Which is the biggest value? (a) w (b) m (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -2*w**2 + 13*w - 2. Let c(p) = 7 + 2292*p - 1149*p - 1145*p. Give -7*c(s) + 4*d(s).\nAnswer: -2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-10)\/3)\/(-2))\/((-14)\/42)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(4\/5))**(1\/49)\/((o**(-12)*o)\/(o*o\/(o*o**(1\/5)))) assuming o is positive.\nAnswer: o**(579\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -206 + -18?\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*k + 18. Suppose -c - 2*b - k = 0, 0*b - b - 7 = -5*c. Sort 0, -1, c in decreasing order.\nAnswer: c, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1070 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 times 1657?\nAnswer: 67937","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zhz when three letters picked without replacement from oazohozooooho.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/5 + 188*l\/5 - 546\/5.\nAnswer: -2*(l - 91)*(l - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 13305160 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -22\/25 (b) -2\/7 (c) 15 (d) -3 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 612\/(-42) - (-5)\/((-455)\/52).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 - 9*b - 36.\nAnswer: (b - 12)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*a**2 - 2*a + 9*a**2 + 5 - 5.\nAnswer: 104*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -8, -2.\nAnswer: -8, -2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2332 by -147.\nAnswer: 2332\/147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + m - 8 = -5*h, m = 3*h + 18. Which is the fourth smallest value? (a) 1\/3 (b) -1 (c) 3 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 298 = 76. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 344.1836 and -4.\nAnswer: -1376.7344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-v**3 + v - 165*v**3 + 62*v**3)*(-2*v + 0 + 0) to i + j*v**3 + o*v**2 + n*v**4 + z*v and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3807\/328 + -11\/41. What is the common denominator of 43\/16 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 740 by -148.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 632.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 4*z**3 + 16*z**2 + 5*z + 2. What is s(-4)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -9. Let k be 20325\/(-45486) - (-1)\/6. Let x = k + -2\/361. Sort 2\/5, h, x in decreasing order.\nAnswer: 2\/5, x, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -70*v**2 - 6. Let k(c) = 3*c - 15. Let n(a) = 20*a - 105. Let w(h) = 35*k(h) - 5*n(h). Calculate f(w(i)).\nAnswer: -1750*i**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of p**4 + 16*p**3\/3 + 10*p**2 + 8*p - 11. Factor y(c).\nAnswer: 4*(c + 1)**2*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*51581.\nAnswer: -257905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 10*s**3 - 10*s**2 - 50*s - 25. Let t(y) = -5*y**3 + 5*y**2 + 25*y + 13. Let d(w) = -2*h(w) - 5*t(w). Factor d(a).\nAnswer: 5*(a - 3)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 - 39*s**2 - 8*s**2)*(-4*s**3 + s**3 + 0*s**3).\nAnswer: 144*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -67755, -135509, -203263, -271017?\n\"Answer: -67754*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert d (base 16) to base 7.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 59 + -60. Let x(j) = 109*j**3 + 2*j + 2. Let s be x(g). Let v = s - -114. Solve 0 = d + 3, m = -3*d - v - 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8141.97 - -0.07067?\nAnswer: -8141.89933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -40. Let r = x + -28.1. Let g = -984 + 988. What is the third biggest value in r, g, 15?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 1. Let h be 1*-3*(-4)\/d. Suppose s + 2*j = -1 + 2, 0 = -5*s + h*j + 57. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 146, 288, 430?\nAnswer: 572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) + 3 + 2*sqrt(700))*2 - (sqrt(7) + (sqrt(63) - sqrt(189)\/sqrt(3))\/sqrt(9) - (sqrt(7) + sqrt(77)\/sqrt(176))))**2.\nAnswer: 723*sqrt(7) + 407143\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25956090?\nAnswer: 2, 3, 5, 19, 43, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 111, 45, -43, -165, -333, -559, -855?\nAnswer: -1233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1051929.\nAnswer: 3, 116881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 146 + 184 = 0. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -5966*x**3 + 2*x**2 - 367*x - 369. What is the units digit of j(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (104\/(-12) + 0)\/(-8) and (1\/15)\/((-2)\/267).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 6 + 2)*(913 + 43*p - 913)*(-2 + 3 - 3).\nAnswer: 946*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -110000220011122 (base 3) to base 10\nAnswer: -6394913","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 4*k = -4, c + 4*k = 3*c + 8. Let o = c - 7. Put 0, 3, o in decreasing order.\nAnswer: 3, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 299 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + 12*h**2 + h - 10. Let b be n(12). Suppose -5*d + 8*d = -3, 2*i - 47 = -3*d. Solve -5*g + i = 2*l, l - b*l - 4*g = -17 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3*p**3 - p. Let n be f(-1). Let d be n\/1*-1*1. Solve 21 = -3*o - 2*s, -3*o = -4*o - d*s - 11 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -610890*n + 610776*n = -1482 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*d**5 - 6*d**4 + 6*d**4 + 0*d - 4*d**5 + 0*d + (6*d**3 - 3*d**3 - d**3)*(d + d**2 - d) + 0*d**2 + 0*d**2 - d**5.\nAnswer: -21*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*l**3 - 8*l**2 + 8*l**2)*(95 + 10*l + 17*l - 10 + 52) as w*l**4 + j + m*l**2 + p*l + n*l**3 and give n.\nAnswer: 411","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3166465459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**4 + 14616*y**3 + 87524*y**2 - 102144*y.\nAnswer: 4*y*(y - 1)*(y + 7)*(y + 3648)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1582.9*-1876.\nAnswer: 2969520.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 412*((-6)\/4 + 98\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -4 + -2 + -6 + 5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(4\/2))\/((-112)\/16 - -2).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58564321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 32*z - 10. Calculate p(4).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.091 + -0.294. What is f rounded to two decimal places?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17820 and 19374795.\nAnswer: 4455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 314.9 + -315.2. Which is the biggest value? (a) 1 (b) 2\/143 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 9*f - 1. Let m = -8 - -10. Let d be r(m). Let i = 4 + -1. Solve -i*l = 2 - d for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20082 and 10?\nAnswer: 100410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/(-2)*-1*2. Suppose -r*v - 3*y + 25 = -v, 0 = 4*v + 5*y - 31. Solve -x + 21 = 4*x + 4*l, -21 = -v*x + l for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1706663 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 114790468 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 183045 or 242\/7?\nAnswer: 242\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 b when four letters picked without replacement from {b: 7, m: 5}.\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39135 + -39124 - (1 + 0 - (-1 + 0))) + 38?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 50447879 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -1. Suppose -x - 18 = -2*c. Let m(b) = b**2 - 9*b - 11. Let f be m(c). Let q(y) = 2*y - 1. Give q(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9152051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 34 = -3*u. Let x(a) = -498*a - 17*a**2 + 253*a + a**3 + 249*a + 14. Is x(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.006 and 0.06.\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.67, 5, -3?\nAnswer: -0.67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of o**3\/2 + o - 2. Let z(s) = -8*s + 42. Let p(r) = -7*r + 36. Let w(g) = -7*p(g) + 6*z(g). Give w(u(t)).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 6\/1369, 1.8, -8 in ascending order.\nAnswer: -8, -2\/5, 6\/1369, 1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 66\/797 (b) -4 (c) 5 (d) 80 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**2. Let h(o) = 20*o + 2. What is h(z(c))?\nAnswer: -40*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffffff. What is prob of picking 4 f?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) 46 (b) 0.4 (c) -113\/3 (d) -2 (e) -4\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124 = -11363*o + 11332*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44208 + -19231. Let l = -1248767\/50 + x. What is the common denominator of l and 29\/50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 4*d**2 - 2*d + 4. Let l be c(-4). Let v be (2\/(-4444))\/(2\/l). Let x = v - 3529\/2222. Find the common denominator of x and 1\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -95717*d**5 + 71*d**2 - 2*d - 3197806?\nAnswer: -1914340*d**3 + 142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 1. Suppose -4*h = o - 89. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -2*b - b. Suppose b*f + 54 = 17*f. Let c(i) = i**3 + 9*i**2 - 11*i - 5. Let g be c(-10). Solve 3*r + 1 - 7 = -g*m, 2*m - f = 4*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -3*b - 273. Let i be b\/2*360\/(-224). Let j = i + 64. Calculate the common denominator of -2\/3 and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 138 and 506.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from opbpnpnpyo. Give prob of picking 4 b.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -341 - -497. What is the smallest common multiple of 3 and a?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s + 10*s - 15 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -4500*u - 1661. Is s(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-27)\/(-5) + (-72)\/30 + 2. Suppose -2*v - 6969 = -b*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, k: 2}. Give prob of sequence kj.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 51*o**2 - o - 5. Suppose 0 = -38*v - 60*v - 294. Let j(h) = 26*h**2 - h - 3. Determine v*k(p) + 5*j(p).\nAnswer: -23*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -5. Let k(z) = -3*z - 7. Let f be k(m). Is (f\/6)\/(2\/(-21)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*i - 54*i + 219 = 0. Solve 0 = 5*j - 5, i*j - 3 = 4*l - 0*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -6*i**3 - 3*i**2 + 6*i + 6. Let d(x) = 2*x**3 + x**2 - 2*x - 2. Determine 8*d(g) + 3*z(g).\nAnswer: -2*g**3 - g**2 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h - 2. Let n be w(3). Suppose -4*v - 5*r + 17 - 5 = 0, -r = 2*v. Let l = -3 + 3. Sort l, n, v in descending order.\nAnswer: n, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180*n + 178*n + 11 = -1. Let v(c) be the second derivative of 0*c**2 + 5*c + 0 + 0*c**5 + 1\/120*c**4 - 1\/300*c**n + 0*c**3. Factor v(t).\nAnswer: -t**2*(t - 1)*(t + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1519776559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4343 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + -11 - -50 - 18.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**3 + 534969*q**2 + 534970*q = 0. What is q?\nAnswer: -1, 0, 534970","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 101 = -4*n, -2*u = 12*n - 11*n - 166. Calculate the highest common divisor of u and 2329.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -358.8185333 to one dp.\nAnswer: -358.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -3*c + 25. Let a be 36\/324 - 10\/9. Let p(o) = 20*o**3 - 25*o + 25. Let n(l) = l**3 - l + 1. Calculate a*p(r) + c*n(r).\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5.3, 0.1, -0.6, 3\/2, 2?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7 - 19*x**2 + 7*x**2 + 2*x**2 wrt x.\nAnswer: -20*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 88\/16*2 - -3. What is the highest common factor of 322 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 192*i**5 - 4768*i**4 + 16876*i**3 + 35320*i**2 - 30400*i - 48000 = 0. Calculate i.\nAnswer: -5\/4, 4\/3, 6, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -835*l**4 + 785*l**3 + 5060*l**2 + 300*l = 0. What is l?\nAnswer: -2, -10\/167, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16739 is divided by 37.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/11862172 and -33\/2965543.\nAnswer: 11862172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 39.488+-0.819\nAnswer: 38.669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1177761 (base 9) in base 2?\nAnswer: -10011100110001011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 255*u**2 + 10*u + 428. Let b(a) = 3*a. Calculate n(b(s)).\nAnswer: 2295*s**2 + 30*s + 428","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -8, 5 in decreasing order.\nAnswer: 6, 5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n - 3. Let j be h(-6). Let x(s) = -1 - 3*s**2 + 2 - s**j + 13*s - 15*s. Give x(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1470693.483 nanoseconds in weeks?\nAnswer: 0.0000000024317021875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 9:53 AM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -365 = j - 140. Let y = -100 - j. Is 25 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -n**3 + 2*n**4 - 4*n - 6*n**4 + n**4 + 8*n**3 = 0.\nAnswer: -2\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 249002.4mg to tonnes.\nAnswer: 0.0002490024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 7990325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 + 0*t**2 + 0*t**2)*(0 - 4 + 1)*(-17 + 10 + 46).\nAnswer: -234*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + 0. Factor -v - 2*t - 10*t - 9*t**2 + 1.\nAnswer: -(3*t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 16*a**2 + 162*a. Let f(h) = 5*h**2 + 54*h. Let s(r) = -7*f(r) + 2*k(r). Factor s(p).\nAnswer: -3*p*(p + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221122 (base 4) to base 13.\nAnswer: 128b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(720) - (-4 + -4 + sqrt(720))).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00213 rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 5*a - 8300, 3*n - 3852 - 1134 = 5*a. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 27\/(-4) - (-45 + 38). Sort -22\/5, n, 0.\nAnswer: -22\/5, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*d**2 - 69*d**2 + 6*d**2.\nAnswer: -93*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 234*o + 153*o - 65 + 134 - 68.\nAnswer: 387*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 461 + -1. Is y a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r**3 - r**2 + r - 1. Let i(d) = -d**3 + d**2 - 1. Suppose 15*f = 9*f + 6. Calculate f*i(u) - z(u).\nAnswer: 2*u**3 + 2*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70 and 280.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, a: 3}. What is prob of sequence eaea?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4414\/7 less than or equal to 632?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 326331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 10, p: 2}. Give prob of sequence pp.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - (0 - -1 - 2). Suppose 0 = -3*i + j*q + q - 3, -q = -1. Suppose i = -5*n, 3*u = -0*u + 5*n + 24. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a millennium in decades?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -a**6\/1800 - a**5\/600 + 2*a**3\/3 + a. Let w(b) be the second derivative of k(b). Let w(r) = 0. What is r?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -144 + 144 - b**2 + 3*b**2 as o + r*b + c*b**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 3*s**2 - 2*s. Let f be p(-1). List the prime factors of (-20)\/f - (5\/(-1))\/(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 517449114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 282904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 4 + 214*x - 4 - 109*x - 107*x. Let r(m) = -42*m. Give j(r(a)).\nAnswer: 84*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 226 + -231 - (2 + -3 - 24)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 10067\nAnswer: 2\/10067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171 = 5*v - 3*b, v + 161 = 6*v + 2*b. What are the prime factors of v?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i - 57 + 106 + 3*i - 49.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lyyy when four letters picked without replacement from {y: 3, l: 7}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -7*n**2 + n - 98. Let h(v) = 15*v**2 - 2*v + 216. What is -13*b(r) - 6*h(r)?\nAnswer: r**2 - r - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.7 + -0.3. Let o = 4032.6 - 3920.6. Which is smaller: u or o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-5)\/1 + 4 + 226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 82*c + c**2 - 82*c + 1 to w*c**2 + v + u*c and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three sixteenths of a century?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 107833 to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 246195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49 and 79172674?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 99212 and 5803902?\nAnswer: 11607804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2296135 >= 2296136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 729, 940, 1163, 1404, 1669, 1964, 2295, 2668?\nAnswer: 3089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.3482 - 0.0582. Let k = 8.29 - n. Let d be 0 + 2\/3 + 0. What is the biggest value in d, 0.6, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -5\/9638841?\nAnswer: -5\/9638841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1426)\/161 + 6\/7. Is (7835 - -57)*(-10)\/k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + l + 20 = 0, l - 3*l - 19 = -3*k. Suppose -k*v + 51084 = -5*v. Is ((-36)\/20 - -2) + v\/(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2445235 + 820135. Round n to the nearest 100000.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(539)*2 + -4)*4 - (0 + sqrt(539) + sqrt(539) + -2 - 2*(sqrt(539) + -1 + sqrt(539)))))**2.\nAnswer: -2100*sqrt(11) + 54125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, p: 3, k: 3, g: 5}. What is prob of sequence hhg?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m + 24. Suppose o + v - 22 = 0, 6*o - 2*o - 3*v - 95 = 0. Let x be l(o). Let p = -0.15 - 2.85. What is the nearest to x in p, 1, 4\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7, y: 2}. What is prob of sequence yoyo?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/10)\/((-28)\/(-70)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 57412 and 155?\nAnswer: 287060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*6*(-4)\/18. Let r be 5\/(-10) - (-34)\/s. Let w be 4 + 3\/(r\/24). Let g(f) = 2*f + 3. What is g(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 8 = 2*o. Which is smaller: 5 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 4*q + 140. Let g be 7519\/q + 14\/49. Let z = 270 + g. Which is smaller: 1 or z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2*t - 1)*(3 - 1 - 3) - 3*t + 189*t + 180*t to y*t + h and give y.\nAnswer: 364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189 is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1415655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -280797 + 22292 = -5067*u - 1238*u for u.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b\/(b\/(b\/(b*b**(4\/3))))*b))\/b*b)\/(b\/((b*b**(-13)*b)\/b*b))*b\/b**(1\/13)*b**10 assuming b is positive.\nAnswer: b**(49\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*r - 20*r + 286 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*q = -75. Suppose -q = -4*a - 67. Let b = 54 - a. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 11:12 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*f - f + 0*f - 8*f = 0. Solve f = 17*g + 13*g - 180 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 779 - 778 - s**4 - s + 0*s**2 - 10*s**2 + 0*s**2 as l*s**3 + r*s + d + q*s**2 + j*s**4 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-150)\/(-5)*((-1)\/18)\/(54\/810).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1818*b*d**3 - 1434*d**3 - 2*d wrt b.\nAnswer: -1818*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s**2. Let g(o) = -639*o. Determine n(g(x)).\nAnswer: -816642*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 10 (c) -3\/10 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 321 a factor of 475080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 3 - 1 + (-6 + 2 + 1)*(-4 + 4 + 1))*(48*t - 17*t - 21*t) in the form z*t + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 2*c**2 + 2*c - 7. Suppose 3*w = -k - 18, -4*w - 11*k + 15*k = 8. Calculate l(w).\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -0*s + 3, -38 = 4*d + 2*s. Let t(f) = -5*f**2 - 119*f + 14. Let v be t(-24). Is (-2)\/v + d*252\/(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -481, -440, -409, -394, -401, -436?\n\"Answer: -r**3 + r**2 + 45*r - 526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -435603 + 0?\nAnswer: -435603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6424101887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 120 - 60. What is the smallest common multiple of 2 and z?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (15\/(-12))\/(-1)*-4. Let j = o - -22. Does 6 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -8406050.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or 31.242832?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 1436*a. Let j(r) = -2*r - 5. Determine j(f(w)).\nAnswer: -2872*w - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - c = 43348 - 43361, 0 = 5*l - 5*c + 15 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 513 and 1083?\nAnswer: 9747","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*o**2 - 33*o**2 + 65*o**2.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 7*i - 39. Let m be j(6). Suppose -4*o + 0*o + 492 = 0. Suppose 3*a + 0*q - o = 3*q, -143 = -m*a - q. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 214*c + 5178. Give s(-24).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -20*c + 1818. Calculate h(19).\nAnswer: 1438","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -24*g - 7. Let t(i) = 2*i - 1. Let l(n) = -r(n) + 4*t(n). Let a = -1 - -3. Is l(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 - ((-141 - -70) + 62 + (0 - (1 + -3))).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -15\/2 (b) -5 (c) 4039\/2 (d) -24 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.62, 2 in descending order.\nAnswer: 2, 0.62, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3628 and 44?\nAnswer: 159632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -15ba8 + -6b?\nAnswer: -15c24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 0)*(m**5 + 3*m**5 - 2*m**5) + (-2*m - 4*m + m)*(209*m**4 + 10875 - 10875).\nAnswer: -1053*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - a - 5*h = 291, 3*h = a + 60. Let j = 31 + a. Let f be 0 - (-6)\/(-4) - j\/4. Solve 5*w + q = 20, 0 = 2*w + 5*q - f for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5*o = -2. Let x(w) = -3 - 6 + w**3 - w**2 + 19 - 9. Let p(y) be the first derivative of -y**4 + 2*y**3\/3 - y**2 - 4*y - 4. Give o*p(l) - 2*x(l).\nAnswer: 2*l**3 + 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y = -17*y + 4718. Calculate the remainder when y is divided by 224.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 43078.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/12*(36\/(-5))\/(10856\/(-1180))?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 0.27, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v - 239 + 254 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h. Let r(d) = d. Let l(x) = -3*r(x) + 4*t(x). Calculate the remainder when 31 is divided by l(11).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - 25*d**2 + 54*d + 61. Give r(-27).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*m = t - 423, 0 = 5*t - 2214*m + 2216*m - 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 165 (base 9) to base 4\nAnswer: 2030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93414 - 93412 + 373653 - 93415 - 93412 - 4*x + 7*x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26861516 by -1220978.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208*z - 186*z - 2406 = 7*z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/50 and 83\/966060.\nAnswer: 4830300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 0)\/(-6 + 4). Suppose t*d + 7*d - 6223 = 0. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2954636 + 34729251. Let g = y + -37683883.20000084. Let u = g + -3.8. Round u to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b + 18409. Let j(v) = v**2. Calculate z(j(p)).\nAnswer: -2*p**2 + 18409","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10467853963.98139931 + -10467853911. Let i = t - 53.0524. Let k = i - -0.071. Round k to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -255*r**4 - 29*r**3 + 5273*r**2 wrt r.\nAnswer: -6120*r - 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -17 + 27 + 5\/(-1) + -5. What is the nearest to 0.2 in 13, x, -2\/33?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/76*208\/312*3\/(-4)?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 70*p**4 + 462*p**2.\nAnswer: 1680*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 149*j**2 - 10*j**2 + 5 + 369*j**2 - 165*j**2.\nAnswer: 343*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 502 is divided by 39.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - 2*h. Let n(t) be the first derivative of -t**3\/3 - t**2 - t + 30. Let s be 18\/(-4)*64\/(-96). Calculate s*r(i) - 2*n(i).\nAnswer: -i**2 - 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 5*k**2 + 8*k - 13. Let o(b) = b**2 - 1. Let q(v) = g(v) - 6*o(v). Let i be q(6). Let z be (-3)\/(-6) + 6\/4. Solve 4*w + 6 = -z, i*a = -w + 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -607\/14474 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-22))**(-38)\/(h**(-10\/7)\/(h*h*h*h**(15\/2)*h*h)) assuming h is positive.\nAnswer: h**(11899\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 1 - w - 5 + 0. Let t be o(-4). Let y(c) = -c**2 + 7*c + 48. Let h be y(-4). Solve g + 0*g + h = t for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3410\/10221 + -1\/3407. Factor 0*a + 1\/3*a**2 - g.\nAnswer: (a - 1)*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 18*t**2 - 15*t - 28. Let k be r(17). Solve k - 2 = 4*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 + 24. Suppose u = 3*m - 14. Suppose -4*d - 2*y + 15 = -d, -2*d + 8 = 2*y. Solve f = m*f + 2*a - 15, -2*a + d = -3*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 2*i = -0*i - 10, 23*w + 9*w + 19 = -4*i + 39 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 703274978, 703274976, 703274974, 703274972, 703274970?\nAnswer: 703274968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 34 = -2*v, 5*r - v - 41 = v. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 178418877 to the nearest integer?\nAnswer: 13357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - k + 30, 0 = -4*v - k - 4*k + 60. Suppose -2*r + r = -v. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q\/(q*q\/q**(2\/19)))*q\/(q\/(q*q*q\/((q*((q**0\/q)\/q*q)\/q*q*q)\/q)*q*q*q))*q*q*q**(-3)*q*q**0\/q*((q**1\/q)**(-16\/7))**(12\/19) assuming q is positive.\nAnswer: q**(131\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/7))**(-20)*((k\/(k\/(k\/((k**(3\/7)*k)\/k))))\/k)\/(k\/k**(-1)*k))\/((k\/(k\/(((k\/((k\/(k**(-2\/9)\/k))\/k))\/k)\/k)))**42)**(-7\/5) assuming k is positive.\nAnswer: k**(-2696\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/(-14) - 28083\/21)*-1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 175726?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -862 divided by -115?\nAnswer: 862\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s - 16 - 36 = 0. Let d be (-2)\/s + 2109\/114. What is the greatest common divisor of d and 270?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 263742?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -802 + 805. Solve 3*p + 2*c + 6 = 12, q*p + 4*c - 12 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l + 4*s = 20, -4*s + 10*s = 5*s - 1 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30625779*p**3 + 8*p + 3518957.\nAnswer: 183754674*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3153*w - 487*w - 155*w - 95418 for w.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 4)*(3*z + 2*z - 3*z)*(-z + z - 2*z**2).\nAnswer: -16*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**5 + 5*p**5 - 4*p**5 + (p + 2 - 2)*(p**4 - p**4 + 2*p**4) + 0*p**5 + 4*p**5 - p**5 + (-2 + 0 + 1)*(0*p**4 + 0*p**4 - 2*p**5).\nAnswer: 9*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-98)\/490 - 2\/((-120)\/(-3188)). Suppose -f - 2*w - 50 = -4*w, 0 = -2*w - 4. Is k less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 120 - 398. Let g = 277.9202 + r. Let n = -40.0202 + g. Round n to 0 decimal places.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 6*l - 3. Let j(i) = i + 1. Let f(c) = -4*j(c) - 2*s(c). Find the first derivative of f(o) wrt o.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40*j**3*s**2 + 5*j**3*s - 33134*j**3 - 23*j**2*s + 2*j**2 + 7*j*s**2 + 68*j*s - 30*j + 2 wrt j.\nAnswer: 240*s**2 + 30*s - 198804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 3 = -p, 14*n - 5*p = 18*n - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -351514, -351530, -351562, -351616, -351698, -351814, -351970, -352172?\nAnswer: -352426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -5, -4*n - 649*z + 11 = -648*z for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -506027 (base 11) to base 7.\nAnswer: -6625023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of h**5\/30 + h**2. Let t(p) = -p**2 + 4*p. Let k(b) = b. Let u(d) = 4*k(d) - t(d). Calculate l(u(z)).\nAnswer: 2*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 265471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 371141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 11*r**2 - 11*r + 14. Let s be t(10). Let n = 12 - -8. Let d be (2\/n)\/(s\/16). Which is greater: 0.2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 704 + 3668 = -4*c, -3*w - 5*c = -2255. List the prime factors of w.\nAnswer: 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2422 divide 498541109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9720 = 133981*q - 134161*q for q.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -6*z - 10*z. Let b = -46.4 + 9. Let k = 37 + b. What is the third biggest value in k, z, 2.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 0 - 1\/2*g**4 + 10*g + 13\/2*g**3 - 16*g**2 = 0.\nAnswer: 0, 1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 467*u - 217034 + 109544 = -125236 for u.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4467 - -501. Let p = 1966 + x. What is p rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 6:34 PM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14361?\nAnswer: 3, 4787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2450742 and 354.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t\/t**(2\/37))\/t*t)**43 assuming t is positive.\nAnswer: t**(4687\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 215 - 119. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -210.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110 - -2022?\nAnswer: 1312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 16) in base 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1885 (base 10) in base 8?\nAnswer: 3535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.04 and -176.\nAnswer: -176.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003096372738 rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 9:16 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.12, -2\/7, 3.2, 2\/3?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-30)\/(-8))\/(81\/432). Suppose -5*a - s = -i - 0, -4*a = -i + 16. Solve i = -m - 3*w + 15, 4*m - 3*w = -0*w for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*q + 26*q = 3*o - 14, -3*o + 3*q = -9 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 h, and 1 m when three letters picked without replacement from ccciichhcmcm?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**2 - 519. Let d(v) = 2*v. Determine d(q(r)).\nAnswer: 4*r**2 - 1038","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/5 + 6818*l**2 + 145317134*l\/5 + 435644646\/5.\nAnswer: 2*(l + 3)*(l + 8521)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 17 = -4*m. Let t(z) = -21*z + 249. Let x be t(11). Let c = m + x. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30229*k**5 + 380*k - 5 wrt k?\nAnswer: 604580*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2295 - -2295.0001299. What is u rounded to 6 dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 636 - 619. Solve h*b - 68 + 0 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -14*i**5\/5 + 42304*i**4\/5 - 650926*i**3 + 6742020*i**2 - 89481096*i\/5 - 28394064\/5 = 0?\nAnswer: -2\/7, 6, 67, 2943","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 3*l**5\/4 + 939*l**4\/4 + 22728*l**3 + 629019*l**2 - 791208*l - 3920400 = 0.\nAnswer: -132, -50, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9034 - 8130599\/900. Let y(r) be the third derivative of 11*r**2 + 0*r**3 - 1\/90*r**5 + 0*r + 1\/45*r**4 + m*r**6 + 0. Find c, given that y(c) = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13\/325 - ((-80409)\/5775 + 14)\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that n**3\/4 + n**2\/2 - 3*n\/4 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-205)\/(-123))\/(3\/(-27)). Let h(x) = x**3 + 15*x**2 + x + 8. What is h(v)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-225)\/100)\/((-55)\/(-3)) and (-57)\/8 - (-4)\/(-1).\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 791906?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -17*l - 7 + 60*l - 17*l - 25*l. Let z = -17 - -30. What is the units digit of j(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 + 2489\/855*-9\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 t, 1 l, and 1 k when four letters picked without replacement from osktooolllkookg?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 divided by 694917.\nAnswer: -41\/694917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 26 in -0.64, -5, -2, -0.1, -7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -93202*o**3 - 1458604*o**2 wrt o.\nAnswer: -559212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 3:18 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 - n + 3. Let r be g(3). Suppose -30 + r = -3*v. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13970 by -33.\nAnswer: -1270\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 + 3*p**2 + 0*p**2)*(-79 + 90 + 7*p - 4*p).\nAnswer: 9*p**3 + 33*p**2 + 9*p + 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27406?\nAnswer: 2, 71, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 5*a. Suppose -4*k + 3*q - 20 = -q, 5*k - 4*q + 20 = a. Let y = 966.5 + -967.3. What is the nearest to k in 1\/4, y, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2\/5 - 24*g\/5 + 9.\nAnswer: 3*(g - 5)*(g - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 5:38 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 28 + 54 - 47\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 521 divide 25008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -101 - 13*n + 101 in the form o*n + i and give o.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2*d = 2, -z = -6*z - 5*d + 25. Let p(i) = -2*i**3 - 2*i**2 - 3*i + 1. Let v(k) = -10*k**3 - 11*k**2 - 15*k + 6. Determine z*v(r) - 11*p(r).\nAnswer: 2*r**3 + 3*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of 10\/3*v**3 + 0*v + 1\/8*v**6 + 0 + 0*v**4 - 7\/12*v**5 + 12*v**2. Suppose f(s) = 0. Calculate s.\nAnswer: -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 2 + (-4)\/4. Suppose s = -6*a + 3*a + 36. Suppose 3*x - a = 3. Is x a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2*(5*sqrt(152)*1*-3)\/((5*(sqrt(648) - (-2*sqrt(648) + sqrt(648))) - sqrt(648)) + sqrt(648))*-1)**2.\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 5*r + 9 = 0, -5*y + 4*r - 92 + 77 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + (-30)\/(-6) - -1. Suppose t*q - 15 = -2*h + 21, -h - 3*q = -22. What is the greatest common divisor of h and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v\/(v*v**(-8\/7)))\/v))**(4\/13) assuming v is positive.\nAnswer: v**(24\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -39*g**2*h**3*x + 15*g**2*h*x - 15*g**2 - g*h**3*x - g*h**3 - 974*x wrt g?\nAnswer: -78*h**3*x + 30*h*x - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 149.3 + -146.3. What is the second smallest value in b, -1, -0.3, -1\/33?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39 and 273?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -75 + 76. Let c be g - 2*(-9)\/(-6) - 819. What is c rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1179 - 1152. Solve -9 = -q*p + 18 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u - 10*u + 19*u**2 + 3*u**2. Let y(t) = 9*t**2 - 5*t. Let m = 29 + -41. What is m*y(b) + 5*n(b)?\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.4 + -3.92. Let p = c + 0.22. Round p to zero dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tii. What is prob of sequence it?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2 - 2106*c + 369603.\nAnswer: 3*(c - 351)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 17690170 to the nearest one hundred thousand.\nAnswer: 17700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + 54*n + 3. Let j be x(0). What is the second smallest value in 1\/4, j, 59, 35?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 4*l - 33. Let y(u) = u**2. What is y(b(n))?\nAnswer: 16*n**2 - 264*n + 1089","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a**3 - 16*a**2 - 6*a - 10. Let i be (-9)\/((-90)\/(-4))*(-1 + -19). Let p be c(i). Which is smaller: -59 or p?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/10)\/((-8)\/160*-24).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12151023*c**3 - 45524468*c wrt c?\nAnswer: -72906138*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 b when two letters picked without replacement from cpcppbccccppppp.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -144 + 150. Let u be 1624\/24 + 8\/j. What is the highest common divisor of u and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1110 - 100?\nAnswer: -1210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -51, -47, -43, -39, -35?\n\"Answer: 4*j - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (130*d**2 + 112*d**2 - 422*d**2)*(d - d + d) + 3*d**3 + d**3 - 5*d**3 - 67*d**3 - 18*d**3 + 17*d**3 as p + y*d**3 + b*d**2 + k*d and give y.\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 22639781.4 rounded to the nearest 10000?\nAnswer: 22640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -103*m + 231 wrt m.\nAnswer: -103","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 20 - 0 - (254 + (243 - 457)).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + r - 2 = 4*l, 5*l + 35 = 4*r for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -17*i**2 - 4*i. Let r(o) = -o**2 + o. Let y(g) = 4*r(g) + u(g). Let f(z) = 2*z**2. Calculate y(f(n)).\nAnswer: -84*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -y**4\/4 - 5*y. Let a(u) = 4*u. Let o(v) = 84*v. Let g(h) = 70*a(h) - 3*o(h). What is g(c(x))?\nAnswer: -84*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 49 = -4*z, -5*z - 4*o = -34 - 1. Let a = -13.2 + 12.9. Sort z, -0.2, a in descending order.\nAnswer: z, -0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(675\/40))\/((-12)\/54)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6058 - 6061. What is the closest to -4\/15 in 1, 1\/3, o, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 104171224?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 l when two letters picked without replacement from {l: 1, q: 1, z: 2, y: 1, b: 1, s: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, -4, -5, 1158, -1 in increasing order.\nAnswer: -5, -4, -1, 42, 1158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 11*g + 2. Let w(s) = s**2. Determine w(d(c)).\nAnswer: 121*c**2 + 44*c + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/17058 and -13\/454.\nAnswer: 3872166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 6. Suppose 0 = -j - 2, 3*v + x*j = 4*v - 8. Suppose -v*o - r = 4*r - 87, 5*o - 120 = -4*r. Is 14 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1553*p - 28 = -1567*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1983, 3952, 5909, 7854, 9787?\nAnswer: 11708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of 5\/4*x**4 - 20 + 10*x**3 + 30*x + 55\/2*x**2. Suppose r(a) = 0. Calculate a.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) - sqrt(1872)*2 - 5*sqrt(52).\nAnswer: -33*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9\/1)\/((-16)\/(416\/(-3))). Suppose 0*f + 158 = 2*f. Is j bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 717770663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -97 + 96 + 1 + -10 - -27?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 15\/4 of a microsecond?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 2\/9, 0.7, 774, -0.2, -1.4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*-947.\nAnswer: -10417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l - 1. Let p be g(2). Suppose 0 = -a + y + p, 2*a + 4*y - 2*y = 18. Calculate the common denominator of a and -7\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in 4, 3, -67.6193?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.075888 litres?\nAnswer: 2075.888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -7*o**2 + 9*o**2 + 0*o - 3*o. Let t be a(3). What is the units digit of (2\/(-3))\/((-3)\/t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 + -17. Suppose 0*x + 45 = x. Suppose -5*q + x = 2*o + 3*o, f*o + 3*q = 31. Solve -a = a - o for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 397879 a multiple of 487?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x. Let z = -7 - -10. Suppose 2*r + r - z = 0. Determine k(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79 plus -0.39?\nAnswer: 78.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - k**2 - 2*k + 5. List the prime factors of p(4).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-28) - ((-2500)\/210 - -9).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xkkkkkkkkkkxkxkkykxx.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 211*g + 2*g**3 - 324*g**2 - 305*g**2 + 101*g + 352*g + 613*g**2 - 1 wrt g.\nAnswer: 12*g - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + z**2 - z + 33. Let r be t(0). Suppose -r = -2*x - a, -4*x + a + 82 = 25. Solve -x = -4*q + q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -735451770, -1470903541, -2206355312, -2941807083, -3677258854, -4412710625?\nAnswer: -5148162396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12780*v - 12739*v - 1230 = 0 for v.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -2*n**3\/11 + 58726*n**2\/11 + 1116516*n\/11 = 0.\nAnswer: -19, 0, 29382","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -6*p + 360. Let k be 44*1 + (5 - 5). Suppose 5*q = -2*u + k, -2 = -5*u + 4*u. Calculate the greatest common factor of p and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of 9\/8*i**5 - 37\/16*i**4 + 2*i + 5\/2*i**3 - 3\/2*i**2 - 9\/40*i**6 + 0. Factor s(r).\nAnswer: -3*(r - 1)**2*(3*r - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + 15 + -69 + 3 + 9.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (112010 - 2167 + 22432 - 7558)*(3*j + 0*j - 2*j + (3 - 3 + 2)*(-3*j + 2*j + 3*j)) to the form f + z*j and give z.\nAnswer: 623585","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -64977*j*s**3 + j*s**2 + 14*j + 55*s**3 - 593*s**2 + 33*s wrt s?\nAnswer: -389862*j + 330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + 10*b + 12. Let h be n(-14). Suppose -5*o + 5*g = -43 - 37, -h = -3*o - 2*g. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 3 + 2 = -3*i, -3*i = -3*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7\/9, -0.5, -0.4, -0.8, 0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13065 and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 153230548 and 580.\nAnswer: 766152740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -80*q**3 - 72*q**2 + 3*q - 153552 wrt q.\nAnswer: -240*q**2 - 144*q + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w - 2*w - 2*w)*(3 - 5 + 1) - 4*w + 5*w - 2*w + (1 - 2*w - 1)*(3 - 7 + 1) - 31 + 25*w + 31.\nAnswer: 31*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10500000 = -10*y + 13*y. Round y to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28604541 (base 9) in base 12?\nAnswer: 48b723a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 427, 465, 541, 667, 855, 1117?\n\"Answer: 2*o**3 + 7*o**2 + 3*o + 415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -0*z + 2*z + 718, 3*r + 4*z + 526 = 0. What is the common denominator of ((-9)\/(-12))\/(6\/r) and -37?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1451212.00745875 minus -2?\nAnswer: -1451210.00745875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*g - 12064 = 15*g. Let d = g - 1505\/4. Put 0.3, d, -6\/19 in decreasing order.\nAnswer: d, 0.3, -6\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b - 7 = -31. Let q(n) = -26*n**3 - 2*n**2 + 3*n + 2. List the prime factors of q(b).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33779 (base 12) to base 5.\nAnswer: 4142433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -602 (base 7) to base 5.\nAnswer: -2141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/808 or -0.1?\nAnswer: -1\/808","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-54175)\/(-165) + (-1)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, c: 1, j: 2}. Give prob of picking 1 b and 1 c.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20945*u + 20948*u - 5*m = 15, 0*m = -5*u - m + 53 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5e535 (base 16) to base 11.\nAnswer: -244304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 r when three letters picked without replacement from {a: 2, r: 2, b: 1, l: 1, z: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*1*(-4)\/6. Suppose -r*f + 4 = -4. Let v be (2\/f)\/((-3)\/12). What is the second smallest value in v, 1, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0132238l in millilitres?\nAnswer: 13.2238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 31 - -3?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 2*g + 8. Suppose -6*q + 4*q + g = 0. What is the remainder when 52 is divided by 81\/(1 + q)*1?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1234767 by 3.\nAnswer: 411589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16895691\/313 + 53980. Which is smaller: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 9:57 PM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-11))\/((-368)\/(-552)).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2*d + 26 = 5*p, 4*p = d + 14. Differentiate -2 + 4 - 2*s**d - 12 - 4 wrt s.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9*((-20)\/(-6))\/5*38\/(-342)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 17*b**2 - 20*b - 38. Suppose -208 + 64 = 8*o. Let h be y(o). Does -50 = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 6:52 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kts. Give prob of sequence tk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(468) + 4*(sqrt(468) + sqrt(468)*-2) - 2*(sqrt(468) + -1)) + -3 + -5)**2.\nAnswer: 360*sqrt(13) + 11740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to -1\/8006?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 12 = 3*k. Suppose 0 = k*l - 12, -2*t = -4*t - 2*l + 10. Let d = 0.01 - 0.41. Which is the second biggest value? (a) t (b) d (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 11511877.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 5 - 2 + 1 + 25*r - 1. Let h be b(-8). Let o = h - -284. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 83 + -75. Suppose p*j - 3*j = 745. List the prime factors of j.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 12*f**2 - 10*f - 11. Let w be i(11). Solve 5*k + w*k = 20 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -163*o. Let t(c) = 2*c. Give t(s(y)).\nAnswer: -326*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (0 + -1 + sqrt(432) + 3)**2.\nAnswer: 48*sqrt(3) + 438","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1\/10)\/((-50)\/625))\/(13\/(-104)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -2)\/(4\/16). Let a(z) = -3*z**2 + 7*z - 7. Let o(s) = 4*s**2 - 9*s + 13. Let y(b) = 3*a(b) + 2*o(b). Calculate y(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of n*r**2*t**3 + n*r**2*t - 21*n*r**2 - 106*n*r*t**3 + 12*n*r*t**2 + 960*r**2*t**3 - r**2*t - t**2 wrt t?\nAnswer: 6*n*r**2 - 636*n*r + 5760*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 910531?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2*(-39)\/(-52))\/((-9)\/(-12)). Let t(m) = -2*m**2 + 2*m + 3. Let h(f) be the first derivative of -f**3\/3 + f**2 + 2*f - 1. What is b*t(u) + 3*h(u)?\nAnswer: u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = g - 29, 5*x + 1 = -3*g - 12. Let s be 6 - (g\/(-1))\/(-2). Let q be 3 + 2*(-2)\/s. Solve b - 1 = q for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -3. Suppose 16 = -4*h - 4, 5*g + 5 = -5*h. Suppose -d + r + 11 = g*r, -d - 2*r + 12 = f. Does 14 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = p + 6*w - 8, 0 = p - 2*w - 22. Let c = -13 + p. Calculate the greatest common divisor of 5 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (19\/38)\/((-33)\/(14190\/10))\nAnswer: -43\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260 = 2*z - 3*f, 5*f - 7*f - 131 = -z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2484948 and -1.6.\nAnswer: -3975916.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6863*z**3 - 40*z - 20?\nAnswer: -41178*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4045*o**3 + 4153*o**3 - 1400*o**3.\nAnswer: 6798*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 41449938697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 87 + -433\/5. Put u, 6, 2 in increasing order.\nAnswer: u, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + x + 158 = -3*x, -5084*q = -5086*q - 2*x - 76 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = h + 5*g, 0 = 3*h + 3*g - 5*g - 25. Let o(n) = -6*n - 2*n**2 - 5*n**2 - h + n**2 + 5*n**2. Give o(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + v + 313 = 2*v, -3*v = 4*d - 246. Let n be ((-108)\/14)\/(((-72)\/d)\/8). Calculate the highest common divisor of 6 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 10 = 4*s. Let x = s + -2. What is the units digit of 49\/x - 4\/12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**8*b**(-1)*b*b*(b*b**1*b)**(-3\/20) assuming b is positive.\nAnswer: b**(171\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -191373.4?\nAnswer: 956867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1509 + 6.183.\nAnswer: -1502.817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 133917265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**3*h*h*h**(-18) assuming h is positive.\nAnswer: h**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9212, -9196, -9174, -9146, -9112?\nAnswer: -9072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/997720 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (68\/6)\/(34\/1275). What is the greatest common factor of 935 and t?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3*(sqrt(272))**2.\nAnswer: 814","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 265616 and 71616714?\nAnswer: 572933712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 201 + -11?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -6.7. Which is the third biggest value? (a) 1\/4 (b) -2\/13 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of -r**8\/14 - 2*r**5\/5 - 17*r**2. What is the third derivative of x(s) wrt s?\nAnswer: -1440*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**(-2\/3))\/(y\/(y\/((y*y**(12\/11)*y)\/y)*y*y)))**(-5\/2))**22 assuming y is positive.\nAnswer: y**(-260\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31073 is divided by 61.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 4 - 1)*(-t + t - 2*t) + t - 1 + 1)*(-254 + 254 + 6*t**2)*((-1 + 3 - 3)*(-1 + 3 + 1) - 4 + 1 + 1 + (-2 - 3 + 3)*(0 - 1 - 1)).\nAnswer: 6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2 - 76*j - 144.\nAnswer: -2*(j + 2)*(j + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 4\/523 (c) 271.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10547*t**2 - 3 + 3 - 10542*t**2 - 2*t.\nAnswer: 5*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/(-3))\/10 + 57\/15. Suppose -2*s = 4*a - 116, j*a - a = -s + 55. Let k = s + -62. Solve -2*m + 10 = -0*o - k*o, -4*o = 4*m + 20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-132)\/(-77))\/(-6)*(-35)\/(-40)*4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14*1*-2*2\/(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + 1 + (-2266194)\/(-79) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4*s**3 - s - 4*s**2 + 2 + 4*s + 5*s**3. Let z be b(3). Let c be ((1 - z) + -719)*-625. What is c rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -474, -1587, -3430, -6003, -9306, -13339?\n\"Answer: -365*q**2 - 18*q - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 37*z**2 - 5*z - 8. Let a(f) = 2*f**3 - 79*f**2 + 10*f + 15. Let k(h) = -6*a(h) - 13*c(h). Calculate k(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(-52)\/100*-5. Let x = 3255 + -48781\/15. Let v = p + x. Which is the closest to -1? (a) 0.1 (b) -3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23.981 + -24. Let z = d + -6.581. Let r = -3.6 - z. Which is smaller: r or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 336*m**3 - 24231*m**2 + 432888*m - 49920 = 0?\nAnswer: 13\/112, 32, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 280810832 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of p**3\/3 + p**2\/2 - 2*p - 1. Let c be s(2). Suppose -c*r - 3 = -r. Is r < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -108, -104, -100, -96?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*w**4\/4 - 12936*w**3 - 207039*w**2\/4 + 64695*w = 0. Calculate w.\nAnswer: -5, 0, 1, 17252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89615, -89674, -89733, -89792, -89851, -89910?\nAnswer: -89969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -2. Let o = -5 - -9. Let w = 15.5 + -16. Which is the nearest to w? (a) p (b) -3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**3 + r**2 - 7*r + 8. Let v(o) = -o**3 + o - 1. Calculate m(d) + 5*v(d).\nAnswer: -3*d**3 + d**2 - 2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -110, -4, -179581 in increasing order.\nAnswer: -179581, -110, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 19166504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -23, -37, -55, -77, -103?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in 2\/9, -410, 130, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, l: 1, p: 7, f: 1, j: 3}. What is prob of sequence pf?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -143431 (base 8) to base 14\nAnswer: -14809","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 2*q + 15. Let c(n) = 0 + n - n + 1 + 4*n + 11*n**2. Let x be c(q). Calculate the greatest common divisor of 11 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1*-6 + 3)*1. Let i = y + 5. Solve 4 = -3*x - i for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 22*v + 18*v = 0, 0 = x - 4*v for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + -3. Let s(p) = 3*p + 2. Let u be s(-2). Sort o, 1, u in decreasing order.\nAnswer: 1, o, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of p**6\/5 - p**4\/3 + 4*p**2 + 3. Let k(c) be the second derivative of f(c). What is the second derivative of k(x) wrt x?\nAnswer: 144*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zbz when three letters picked without replacement from zbebzc?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + d = 46. List the prime factors of d.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2239*d - 1182 = 12252 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2 + 4392414*l + 21962145.\nAnswer: -3*(l - 1464143)*(l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5576 take away 18926721?\nAnswer: -18932297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a**3 - 1040*a**2 + 1668*a + 162864 = 0. Calculate a.\nAnswer: -261, -12, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 8:54 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000047687438 rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 3:14 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9230.\nAnswer: 2, 5, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30996 is divided by 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4150 (base 6) in base 15?\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 62*l**2 - 152*l**2 + 86*l**2. Let y(i) = 2*i**2 - 74. Give y(m(o)).\nAnswer: 32*o**4 - 74","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1117766.\nAnswer: 2, 13, 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4027674730 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 479609.9019 to the nearest 10000.\nAnswer: 480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12 times -0.2027215?\nAnswer: 0.02432658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 1:25 PM?\nAnswer: 12:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d + d**2 - d + 4 + 0*d.\nAnswer: (d - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18*m**2 + 199 with respect to m.\nAnswer: -36*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0 + (3 - 6 + 1)*(-5 + 2 + 1) + 19 - 1 + 5 - 1 + 4 - 4 + (3 + 0 - 1)*(-1 + 2 - 3) - 4 - 1 + 6)*(-12*f + 49*f + 14*f).\nAnswer: 1122*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 12, 977, -2 in descending order.\nAnswer: 977, 12, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 40 (base 15) to base 5\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-154 - -141 - -56) + -3 + 13?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + (-3 - -3) + 1. Suppose 5*n - 2*u - 10 = a, -6*u + 4*u - 10 = -2*n. Is (n + 1)\/1*115 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88753041.\nAnswer: 3, 13, 758573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 605289 is divided by 1199.\nAnswer: 993","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80 divided by -3.\nAnswer: 80\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a day in minutes?\nAnswer: 3360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 514972294 to the power of 1\/3, to the nearest integer?\nAnswer: 802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 29 = 4*m, -77*m + 72*m = -5*z + 55 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -55363046 (base 7) to base 14\nAnswer: -8c3026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 13*q**2)*(-11*q + 21*q - 35*q - 49*q).\nAnswer: 962*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmem. What is prob of sequence me?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 u, and 1 d when three letters picked without replacement from yuuduyuyjoddyo?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of i**6\/60 - 13*i**5\/60 + 2*i**4\/3 - 35*i**3\/6 + 196*i**2. Let v be h(6). Solve -5*f = -6*r + r - 40, v = 5*f for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36 + (-42 - -42) + -3?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 7:10 PM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + 16*k + 48. Let n be h(-13). Let v = n + -18. Is v bigger than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-92)\/(-16) + -5)*(-2)\/3.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*b + 9 = -14*b - 2*w, w = -5*b + 45 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2010815642, -2010815641, -2010815640?\n\"Answer: z - 2010815643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6071\/1350 - -2\/675. Factor 9\/2*o - m*o**2 - 3\/2 + 3\/2*o**3.\nAnswer: 3*(o - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96277, -385124, -866533, -1540504?\nAnswer: -2407037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5249280 divided by -3\nAnswer: -1749760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 9:20 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: a274 (base 14) to base 12\nAnswer: 141ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/12*((-2574)\/195 - -14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -3\/741634?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179904 is divided by 257.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i**3 + 15*i**2 - 14*i + 1. What is g(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away -3329569?\nAnswer: 3329569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 4a5?\nAnswer: 4a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89296*a**2 + 3*a**3 + 215816*a**2 - 305112*a**2.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -10*d**3 + 7*d + 3. Suppose 3*o - 5*o = 14. Let x(b) = 7*b**3 - 5*b - 2. Let z(y) = o*x(y) - 5*i(y). Let w = 63 - 65. Calculate z(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29096*c + 29045*c + 102 = 0. Solve 3\/4*u**3 + 5\/4*u**c - 1\/4*u**4 - 3\/4*u - 1 = 0 for u.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 123 - 99. Let i be -4*(-17)\/10 - s\/(-40). Suppose 2*p = a - 195, -a - i*p + 200 = -4*p. What are the prime factors of a?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3994, 3461, 2928, 2395?\nAnswer: 1862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -5*j**2 + 272*j - 55. Determine m(52).\nAnswer: 569","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 331105 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -12*i + 2*i. Let q(a) be the first derivative of i*a + 7\/2*a**2 - 1. Let z(w) = 2*w**2. Determine q(z(t)).\nAnswer: 14*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -57 - -60. Suppose -2*y + 1575 = -a*h, -5*y - 15*h + 3927 = -12*h. What is the hundreds digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**0*u))\/(u**(2\/5)*u))**(-34) assuming u is positive.\nAnswer: u**(238\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -185 - (-5 + 2 + 7). List the prime factors of (-3292)\/(-14) - 162\/s.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of 4\/3*f**3 + 2 + 1\/2*f**4 + 0*f**2 + 0*f - 2\/5*f**5. Factor y(o).\nAnswer: -2*o**2*(o - 2)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -5*g - 29. Let u(i) = i. Give -a(s) + 2*u(s).\nAnswer: 7*s + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2767*z + 8049. What is w(3)?\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, b: 1, w: 4, f: 1, v: 8}. What is prob of picking 1 w and 1 v?\nAnswer: 32\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -b**3\/3 - 92. Let f be (2 - 5)*(0 - 1). Let k(v) = -f*v**2 + v**2 + v**2. Determine d(k(g)).\nAnswer: -g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/2 - 96*x - 9135\/2.\nAnswer: -(x + 87)*(x + 105)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3971, 76 in decreasing order.\nAnswer: 76, -5, -3971","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -9) + -11 + 8 - (-1 - -1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32 + -2. Suppose -b = 3, 16 = 4*y + b + 3. Suppose -y*q = -7*q + 12. Solve 2 = 2*x + q*w - 0*w, 5*w = 3*x + m for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15402 or -15926?\nAnswer: -15402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -151304, -302171, -453038, -603905?\nAnswer: -754772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**3 + 37*n**2 - 2016*n + 35965. Give w(18).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 4*p - 2*p)*(6 + 0 - 4 + 30)*(3 - 16 + 1)*(2 - 1 + 0).\nAnswer: 1536*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (283\/1415 - 9\/(-5))*(-55)\/2?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**3 + 23*m**2 + 12*m - 11. Give d(12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-14))\/((-12)\/84) - 0. Let s be (-1)\/(-4) - (-1528)\/(-64)*p. Calculate the highest common factor of s and 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1574345.\nAnswer: 5, 499, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1142652 - 119.4\nAnswer: -1142771.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/1340 and 65\/22.\nAnswer: 14740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 189220 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-6)*(-60)\/8. Suppose s - 18 = -2*y - 3, -2*s = -f*y + 15. Suppose -y*w - 1 - 4 = 0. Which is smaller: w or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 14, -1, 2, -13 in decreasing order.\nAnswer: 14, 2, -1, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 = 3*x + 113. Suppose n + 3*s = 2*s + 31, 5*s - 125 = -4*n. Suppose 6*r - n = r. Solve -x*q - l + 1 = -4*q, 3*l = r for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + 0. Which is the smallest value? (a) -0.3 (b) q (c) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-33552)\/(-2088) - 4\/58. Let n(x) = x - 22. What is n(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3 + 11*h**2 + 351 - 59 + 79*h + 209*h + 84*h**2 - 26*h**2.\nAnswer: -(h - 73)*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b - 13528 = -18*b. Let w = 1487 - b. Let x = w - 13023. Round x to the nearest 1000.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 4) to base 11\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3491 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a decade in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 777 at most 775?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 51\/4 bigger than 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 2\/21, -1\/4, 0, 4798?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 1708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 901.\nAnswer: 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/5 and -233 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-128)\/8 - ((-494)\/39 - 3\/(-9))?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -309244220250 and -0.5.\nAnswer: -309244220250.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2383 and 4?\nAnswer: 2379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.6 and -5.37175?\nAnswer: -3.22305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 300 and 350.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26349, 26360, 26379, 26406?\nAnswer: 26441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.0677 to 2 dps.\nAnswer: 12.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-9 + -9)\/((-3)\/4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 64\/5 of a litre?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -63, -457, -1127, -2073?\n\"Answer: -138*r**2 + 20*r + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/(-9) - (-2)\/2. Let a = 10.3 + -11. Let s = a - -0.2. Sort r, -3, s in decreasing order.\nAnswer: r, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a second in milliseconds?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 7:50 AM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 32, -0.5, 3, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167*y + 154*y = 364 for y.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34*z**5 - 2*z**4 + 6091*z**3 - 7342694*z**2 wrt z.\nAnswer: 2040*z**2 - 48*z + 36546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1236030078?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 394 a factor of 6209705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + l - 3. What is the lowest common multiple of (-2)\/(-6)*(6 + 0) and y(3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46487777309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(833) + -2*sqrt(833)*4) + -2)*-5.\nAnswer: -1470*sqrt(17) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 104 and 1727544.\nAnswer: 1727544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-4\/5)*z**(-6))\/(((((z**(-2\/9)\/z*z)\/z)\/z)\/z)\/(((z**(-4)\/z*z*z)\/z)\/z)))**(5\/2) assuming z is positive.\nAnswer: z**(-193\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -86.99175 rounded to the nearest integer?\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 + -8. Suppose 6*k = 2*k - r. Let t = 71 - 72. What is the closest to -1 in t, k, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 273892389 from 1.4.\nAnswer: -273892387.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:17 AM and 7:43 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14*(-6)\/(-21)*(-2 - -1). Put -2, z, 3, 5 in decreasing order.\nAnswer: 5, 3, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1010011001010 (base 2) to base 16\nAnswer: -14ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 2*b**2 + 5*b + 2. Calculate s(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of 0 + 0*d - 1\/52*d**4 + 1\/390*d**5 + 23*d**2 - 10\/39*d**3. Suppose u(g) = 0. Calculate g.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3 - 10272*m**2 + 20532*m - 10264.\nAnswer: 4*(m - 2566)*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111526338.\nAnswer: 2, 3, 7, 11, 283, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5163 and -110.\nAnswer: -567930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -254523 at most -254525?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -19. Let t = 7 + b. Let q = -5 - -5.1. Is q equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-0.5652\nAnswer: 0.16956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1909956 divided by 114.\nAnswer: -16754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 80 - 45 - 6*z - 13. Is x(-8) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**14\/(q**12\/q)*q**23*(q\/(q\/(q*q\/q**(-3\/5))))\/q assuming q is positive.\nAnswer: q**(138\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/28)\/(-6 - 375\/(-60))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -309, -313, -317?\nAnswer: -321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 264636 to the nearest integer?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -1433*k**4\/12 - 2651*k**3\/3 + 1877*k**2. Find the first derivative of p(f) wrt f.\nAnswer: -2866","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 - (-5 + 2 - 6 - (-33 - -32))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 26\/5 of a gram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35307516, -70615031, -105922546, -141230061, -176537576, -211845091?\nAnswer: -247152606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 53*t - 13. Let k(p) = 1062*p - 261. Give 4*k(f) - 81*x(f).\nAnswer: -45*f + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*a - 2 = -2*q + 105*a, -q + 5*a = -4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 PM and 4:59 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 6, q: 1, j: 1, y: 4, s: 4, h: 2}. Give prob of sequence yjh.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 3*w**2 - 5*w - 2. Suppose 4*b - 107 = 37. Suppose -2*q + 5*l - 20 = 2*l, -4*l + b = -5*q. What is o(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 186611*h**2*j - h*j - 2856*h - 4*j - 1 wrt h?\nAnswer: 373222*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 21*x**2 - 14*x - 29. Let z be h(-21). Let o = -2381\/9 + z. Suppose 2\/9*q - 2\/9*q**4 + 2\/3*q**2 - 2\/9*q**3 - o = 0. Calculate q.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*d**2 - 3*d**2 - 4*d**2 + (-d + 4*d - d)*(-d + 3*d + 0*d) + 3*d**2 - 3*d**2 + 3*d**2 + (2*d + d + 0*d)*(-3*d - 2 + 2))*(4*d + d - 2*d).\nAnswer: -9*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-4)*1\/6*-2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6 - (-60)\/(-9)) + 2. Let v be (1 + (-6)\/2)\/(-3). Solve 2\/3*f**2 + v + t*f = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((120\/16)\/3)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0.14 (b) -2 (c) -0.4 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97462 - 5*k**3 + k**2 - 48779 - 48683 - k**2.\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-312)\/(-117))\/((3696\/36)\/1).\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 275254193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.1, 2\/183, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x - 4*t + 9648 = -5*x, 5*x + 2*t - 9654 = 0. Is 69 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 98\/(-21)*(0 + (-6)\/4). Let i(h) be the first derivative of -h**2\/2 + 15*h - 7. What is i(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 195 - 96. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 13*k - 16*k - 44, 52 = 5*s - 3*k. Let g(o) = -17*o + 10. Let z(m) = 11*m - 7. What is s*z(t) + 5*g(t)?\nAnswer: 3*t - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 5 - 1. Let o be g\/(-7) + 185\/(-35). Let v be 16\/(-20) + (-2)\/o. Which is greater: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -6*t - 2*t - 4*t - 5 + t. Does 17 divide u(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68302737?\nAnswer: 3, 61, 113, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l + 7135 = -1027. Calculate the greatest common factor of 28 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -v**3\/3 + 2*v**2 - 3*v + 8. Give y(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*t + 14*t - 22*t)*(-17 + 12 + 34) to the form h + y*t and give y.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 29 = 5*w, 8*w - 3707 = 5*b - 3920 for b.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of -i**7\/49 - 2*i**6\/35 - 3*i**5\/70 + 18*i. Factor w(o).\nAnswer: -6*o**3*(o + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 - 24. What is the units digit of 141\/(7 + -4) - t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5*i = -8, -n + 7*i + 2 = 2*i. Let y be 2 - (n - -1 - 1). Let s be 2\/1 + 1 + 0. Solve y*c = -7 - s for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -68 - -119. What is the remainder when j is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000010604 to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 0 - 36*r**2 + 1 + 31*r**2 - 2*r. Let f be u(1). Let o be (-1)\/3 - (-28)\/f. Put -2, o, 4 in increasing order.\nAnswer: o, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 34 = -2*i + 3*i, -2*p + 3*i = 0. Let m(s) = 5*s**2 - 11*s - 13. What are the prime factors of m(p)?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9786 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 AM and 1:55 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**2 - 18*d - 65 = 0. Calculate d.\nAnswer: -13, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (0 + 1 + ((1 + sqrt(363))*-5 - sqrt(363))*4*2)**2.\nAnswer: 41184*sqrt(3) + 837871","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*s**3 + 147*s**2 + 16*s + 3245564 wrt s.\nAnswer: -27*s**2 + 294*s + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 10:45 AM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -9*c + 43. Calculate the remainder when 29 is divided by d(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 144 - 10?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 839 divide 33076736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7620765 to the power of 1\/3, to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-18)*(41320\/(-21693))\/((-1)\/(-7)*-2)\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h = -15 + 8 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 6*(-5)\/20.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -12570 divided by -25\nAnswer: 2514\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/779 + 5485\/12464. Suppose 4*w = 5*p - p + 24, 3*w = -5*p - 6. Find the common denominator of m and ((-67)\/w)\/(1\/(6\/52)).\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/16)*x\/(x*x**(2\/57)))\/(x\/(x**(-5)\/x)*x*(x\/((x*x**23)\/x))\/x))**(-1\/4) assuming x is positive.\nAnswer: x**(-13591\/3648)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 79072, 158147, 237222, 316297?\n\"Answer: 79075*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 28*x**3 + x + 24*x**3 - 5*x**2 - 51*x**3 - 5. Give b(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 215 + -222 + (-59)\/(-8) - (-532)\/32?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -10. Suppose 3*x + 56 = -2*c, 5*c = 4*x - i*x - 68. Let g = 0 - x. Does 8 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 95, -1\/7, -1\/6, -2\/9.\nAnswer: -2\/9, -1\/6, -1\/7, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108 + 37 + 38 - 1880*c**2 + 33.\nAnswer: -1880*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 540, 0.2, -0.3?\nAnswer: 540","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 2*z + 1370, -841 - 537 = -3*q - 4*z. Is (-2)\/9 + q\/18 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, l: 1, o: 5}. What is prob of picking 1 l, 1 o, and 1 t?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, l: 1, f: 7, t: 9}. Give prob of picking 2 t.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2022.409 - -0.61086881.\nAnswer: -2021.79813119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 1:08 PM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**0)\/(l**(1\/4)\/l))\/(l**(-2\/3))**(-6\/5))\/((l**(-1\/9)\/l**(2\/7))\/(l**5*l*l\/(l\/(l**(-2)*l*l)*l)*l)) assuming l is positive.\nAnswer: l**(9257\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a0 - -50?\nAnswer: -250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6598 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 - 2)*(2*k - k + k) - k + 5 - 5 - 2*k + 0*k + 0*k - 17*k - k - 6*k to a*k + g and give a.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4\/7 - 3*q**3\/7 - 12*q**2\/7 + 52*q\/7 - 48\/7.\nAnswer: (q - 3)*(q - 2)**2*(q + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/6*(2 + -3))\/1. Let u = s + 11. Suppose -126 = -5*l + 2*g, 4*l - g + 3*g - 108 = 0. Solve -u = z - 5*k, 0 = 6*z - z - k + l for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/77)\/(3\/44).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/3)*u)**(1\/2)\/(u**(-2)*u*u*u)**46*(u**(-1)*u**(-1\/4))\/(u**0)**(2\/11) assuming u is positive.\nAnswer: u**(-565\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43313, -173325, -390035, -693461, -1083621, -1560533, -2124215, -2774685?\nAnswer: -3511961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -n**5\/20 + n**4\/4 - n**3\/3 + n**2 - n. Let i = -6 - -3. Let w = 6 + i. Give u(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93458633503 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 5*s - 1. Let y(r) = -9*r + 1. Let f(m) = -5*k(m) - 3*y(m). Let b(w) be the second derivative of -w**3\/2 - w**2 - 41*w. Determine -5*b(h) - 6*f(h).\nAnswer: 3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + -384. Let l = 391 + y. Is l less than 134?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2543 - -7?\nAnswer: -2534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -61\/26 - 1081\/182. Calculate the common denominator of 12\/181 and a.\nAnswer: 1267","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 353 = j - m, j - 3*m - 350 = 0. What are the prime factors of j?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 8*y - 152. Give j(19).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of 3 + 10\/3*p**4 + 0*p**3 - p + 0*p**2. Let w(b) = -3*b**2. Calculate w(k(z)).\nAnswer: -4800*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -73 divided by 8\nAnswer: -73\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (63 - 18) - (-10 - (7 + -3))\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -6, -17 in descending order.\nAnswer: -6, -13, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 5*n**2 + n**2 - 3 + 3*n.\nAnswer: -4*n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 32\/5 of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/36 and 11\/112?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - l + 4)*(-l**2 + 0*l**2 + 3*l**2) as h + y*l**2 + a*l + b*l**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 226, 932, 2108, 3754, 5870, 8456?\n\"Answer: 235*l**2 + l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/5*g**2 - 12\/5*g**5 + 7\/5*g**4 + 7\/5*g**3 + 0*g + 0 = 0. Calculate g.\nAnswer: -2\/3, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 313, 2\/57, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0*3\/15)\/(-1). Which is smaller: c or 5\/11?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4825 in 1\/45, -4, -5, -2\/3?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -241, 76, 0, 4, -53, 2?\nAnswer: -241","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(3\/7)*w**(-26))\/((w**(1\/25)*w)\/w**(19\/5)) assuming w is positive.\nAnswer: w**(-3992\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of 98*x + 3\/70*x**5 - 1\/105*x**6 + 0 + 1\/42*x**4 - 1\/21*x**3 - 2\/147*x**7 + 0*x**2. Find m such that z(m) = 0.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1848)\/594)\/((-140)\/660).\nAnswer: 44\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -4*s. Let a(u) = 13981*u**2. Determine a(x(w)).\nAnswer: 223696*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 4, 508, -66 in decreasing order.\nAnswer: 508, 4, -0.5, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 94a018 (base 11) to base 7\nAnswer: 15634300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -20*g**3 - 7*g**2 + 110*g + 31. Let m(r) = -19*r**3 - 6*r**2 + 94*r + 29. Give -7*m(q) + 6*o(q).\nAnswer: 13*q**3 + 2*q - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0*1\/(-6) + 2. Suppose 0 = 4*f - 5*g - 25, 0 = 2*g + g + 3. Solve -5*r = 5*a + 20, f*a + 8 = -r + w*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1575811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 PM and 7:31 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.7 + 3. What is the smallest value in -0.4, o, -1\/6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 + 56)\/(1 - 0). Let d = 31 + b. Suppose -4*l + 106 + d = 2*j, 5*l - 4*j - 248 = 0. What is the greatest common factor of 12 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8524433g to milligrams.\nAnswer: 852.4433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2098 is divided by 601.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 = -19*n + 1. What is the remainder when 723 is divided by 1190\/18 + n\/(-45)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*u - 2 - 246*u + 14277*u**3 - 14275*u**3 as m*u**2 + y*u + d + f*u**3 and give y.\nAnswer: -271","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1278259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/760*19)\/((12\/620)\/1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -441*g + 3*r - 43 = -437*g, -4*r + 20 = 0 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-4)*m**(-2\/15))\/(m**(6\/11))**26)**48 assuming m is positive.\nAnswer: m**(-48352\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -193.00000625 + 193. What is r rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4040, -4044, -4050, -4058, -4068?\nAnswer: -4080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 3242244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -20 - 280. Which is bigger: 62 or l?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-40)\/(-32))\/((-2)\/(-8)). Let t = 13 - x. Is 4 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - (60\/(-52) - 1). Which is the third smallest value? (a) 8\/3 (b) -2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zrzzrsszzrzrrrzssr. What is prob of picking 1 r and 1 s?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 81028055?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 34*t**2 - 3*t + 35. Let x(g) = g. Calculate f(x(p)).\nAnswer: 34*p**2 - 3*p + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1 + sqrt(1100) + sqrt(1100))**2*2*2.\nAnswer: -640*sqrt(11) + 17664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3347*w**2. Let u(j) = -2*j. What is u(g(v))?\nAnswer: 6694*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-4))\/(((-15)\/3)\/(-10))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 9*s**2 + s - 4. Let d be (146\/219)\/(1\/(-9) - 0). Let c be d + -6 + 21 - 0. Calculate g(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 10:03 PM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y**5\/6 + 863*y**4\/6 - 2907*y**3\/2 + 7909*y**2\/6 + 22714*y\/3 + 4656 = 0. Calculate y.\nAnswer: -873, -1, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j\/(j*j\/(j\/j**(1\/2))))*j*j)**(-2\/5)*(j**(-1\/4))**(7\/12))\/((j*(j\/(j**(1\/4)*j)*j)\/j)**(-36)\/((j**4\/j)\/j*j\/(j*j**(-4)))) assuming j is positive.\nAnswer: j**(7453\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of s**6\/120 - 3*s**5\/20 + 3*s**4\/8 - 3*s**3\/2 + 4*s**2. Let a be v(6). Let w = a - -89. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s**5 + 76*s**4 + 68*s**3 - 196*s**2 - 212*s - 40 = 0. Calculate s.\nAnswer: -1, -1\/4, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -d - 50, 0 = 2*d + s + 71 + 20. Let x = -24 - d. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/(-22) + -1 + 3.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 80 = -p. Suppose 0*i - 4*i = -p. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3205132325.5967 from 0.3.\nAnswer: 3205132325.8967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*b**4 - 1\/3 + 4\/3*b**3 + 4\/3*b - 2*b**2.\nAnswer: -(b - 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 147 and 313887?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*v - 160*v - 376*v = 1581 - 2307 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-4\/7)\/n)**(2\/55)\/((n*n**(-12)*n*n)\/(n\/n**14)) assuming n is positive.\nAnswer: n**(-1548\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31140 = 74*o - 44*o. What is the remainder when o is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572075308 to the power of 1\/3, to the nearest integer?\nAnswer: 830","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -10296 (base 11) to base 13\nAnswer: -6a8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 15\/4 of a day?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y - 3. Let k = 64 - 56. Suppose 0 = -2*u, 7*j - 5*u - k = 3*j. Suppose 0 = -0*m - 3*m - j*v + 19, 4*m - 4*v = 12. What is q(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 997169.\nAnswer: 17, 58657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 - -18. Let l(a) = -7*a**2 - 3*a + 10. Let j be l(h). Let f be (j\/(-27))\/(2\/3). Solve -q - r - r + 7 = 0, -2*r - 23 = -f*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (8 - -8) - -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/2628068 and 37\/2.\nAnswer: 2628068","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -238, -494, -846, -1372, -2150, -3258, -4774?\nAnswer: -6776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of 4*f**4\/3 + 2002*f. Let g(k) = -4*k + 1. Determine g(i(r)).\nAnswer: -64*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 96\/7 of a week?\nAnswer: 2304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 695, 1393, 2091, 2789, 3487, 4185?\nAnswer: 4883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjp when three letters picked without replacement from jzpzjppz?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**6*l**(-4\/3)*((l*l**5)\/l)\/(l**3*l)*(l**3\/(l\/l**(3\/2)))**(-1\/35) assuming l is positive.\nAnswer: l**(197\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1682, 3365, 5048, 6731, 8414?\n\"Answer: 1683*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + ((-11)\/2 - -3))\/((-52)\/(-1352))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 186 - 181. Let y(o) = o**2 - o + 4. Calculate y(q).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k**4 - 437 + 144 + k - 7*k**2 + 148 + 142 in the form x + r*k + g*k**2 + v*k**4 + t*k**3 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (77\/88)\/(30\/240).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -16*j - 129. Determine l(-10).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -427427, 2\/33 in increasing order.\nAnswer: -427427, -0.4, 2\/33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1718661746.\nAnswer: 2, 18341, 46853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 282 divided by -3?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 123438 divided by -41146.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 11862 = -24693. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36850 and 3025?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39.403 - 3.063. Let w = r + -38. Let l = w + 1.65863. Round l to 4 dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2151?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (2 + -2 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 22423301 (base 5) to base 2\nAnswer: 110001001111100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(-3 + sqrt(108) + 4) + 4)*6)**2.\nAnswer: 25920*sqrt(3) + 143568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2124 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 649855?\nAnswer: 5, 129971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00451022958 to five dps.\nAnswer: -0.00451","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i*i**(2\/15)))\/i**(-16)*i**6\/(i\/i**(3\/4)*i) assuming i is positive.\nAnswer: i**(1177\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 11*v**4 + 6*v**3 + 15*v**2 + 6. Let h(l) = 12*l**4 + 7*l**3 + 16*l**2 + 7. Let m(r) = 7*d(r) - 6*h(r). Find the third derivative of m(y) wrt y.\nAnswer: 120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.0173, -1, 4, -2, 2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14*(-147)\/(-1372))\/((-5)\/(200\/(-42)))?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*u + 99*u - 86 = 106 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 280 >= 279?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -665 (base 16) in base 3?\nAnswer: -2020122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1459 (base 14) to base 12.\nAnswer: -2107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85 - (-86 - (-39 - -4)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 522 + -291. Suppose 3*u + 0*k + 3*k = 126, 0 = 5*u - 2*k - q. Calculate the remainder when (-8766)\/(-66) + (-4)\/(-22) is divided by u.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6432397 to the power of 1\/3, to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0009058 rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 3\/4*d**2 - 249\/2*d + 0 = 0.\nAnswer: 0, 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 - t - t**2 + 0*t**2 + t to l*t**2 + f*t + p and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 - -28. Which is the closest to n? (a) -5 (b) -3\/4 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 262662 and 27.\nAnswer: 2363958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1022112110112 (base 3) to base 2\nAnswer: 10101010110000111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -363, 2, 3, -4, 1389 in increasing order.\nAnswer: -363, -4, 2, 3, 1389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 375*i**4 - 92*i**3*r**2 + 6208*r**2 + r + 5 with respect to i.\nAnswer: 1500*i**3 - 276*i**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 11*h**2 - h + 12. Let s be k(11). Let f be 3 - (0 + 0 - -1). Suppose 0 = -g - 0 - f. Sort s, 3, g.\nAnswer: g, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -92163053 by -5.\nAnswer: 92163053\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 624 and 25256114?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 179190572221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 6. Solve 4*g + 16 = -q*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) -1.3 (b) 1\/3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(((sqrt(132)*4 - sqrt(132)) + sqrt(132))*2 + sqrt(132)))\/(sqrt(36)\/(sqrt(75)*3 + sqrt(3) - sqrt(3))).\nAnswer: -540*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -10. Suppose 2*i = -j - 15 + m, 8 = -3*j + i. Put j, 5, 1 in descending order.\nAnswer: 5, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q**2. Let y(w) = -w + 15. Let z be y(11). Let b(g) = -5*g + z*g + 90 - 90. What is n(b(u))?\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6297156685?\nAnswer: 5, 673, 997, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -50*u + 55*u - 30. Suppose -5*o + q - 91003 = 0, -u = -4*q + 6. What is o rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7592 or 0.2?\nAnswer: 7592","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19 is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3906*b**2 - 281*b + 9890080?\nAnswer: -7812*b - 281","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119927695?\nAnswer: 5, 4231, 5669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -333 in -4\/9, 2, -10, 8\/155?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + 2*o + 5. Let v be h(0). Suppose -4206 = -v*c - c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = -3*y + 40. Let m(g) = -10*g + 1. Calculate the remainder when m(-5) is divided by y*(5\/((-40)\/(-36)) - 0).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 324 + -360 - (-3 + -23).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19218 is divided by 966.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/18)\/(10\/15). What is the second smallest value in o, -1, 0.5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*s - 150 + 18 = 196 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + 7*h - 6*h - 7, 0 = 2*a + 3*h - 15. Suppose 2291*f = 2289*f + a. Solve -3*x - f - 9 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(6)\/(sqrt(6)\/sqrt(3)))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 5:11 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 47 + -8. Calculate the remainder when 77 is divided by b.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 400*t = -1013*t + 7065. Let g(a) = -52*a + 8. Let i be g(-6). What is the greatest common divisor of t and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -58*m**3 + 2077 + 2570*m - 4155 + 2078 wrt m.\nAnswer: -348*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mk when two letters picked without replacement from {v: 1, f: 2, m: 2, k: 1, c: 3, e: 3}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 32046747?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 149090?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g**(-1\/2)*g)*g)**(-12)\/(g\/(g**(-2\/63)*g))**(-2\/69) assuming g is positive.\nAnswer: g**(-130406\/4347)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 104 divided by 7\nAnswer: 104\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a century in years?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-6))\/(13\/(-21996)*-12). Let z(j) = j**3 + 10*j**2 + 2*j - 13. Let u be z(-9). Let v = o + u. Which is bigger: 1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3825)\/(-85) - (35 + 12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z + 2. Let p be d(5). Let j be 11\/(6\/(-7) + 1). What is the highest common factor of p and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o + 2. Let t be y(-3). Let u = -42 - -12. Let d = u + 26. Which is the closest to t? (a) -1\/3 (b) d (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*4*(4 + sqrt(17) + 1*sqrt(17) + sqrt(1377)*-1) + -2.\nAnswer: -66 + 112*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0060117 rounded to five decimal places?\nAnswer: 0.00601","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 2:15 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.63786mm in centimeters?\nAnswer: 6.963786","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/447 (b) -0.4 (c) -267\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3\/4 + 229*v**2 + 24183*v\/4 + 40005.\nAnswer: (v + 12)*(v + 15)*(v + 889)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35) + sqrt(315)\/(-2*sqrt(9)))\/sqrt(7) - sqrt(15)\/(sqrt(48)*-1)) + -4.\nAnswer: -4 + 3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -144 + 144. Solve k = t - 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/((-36)\/39) + 2\/(-8). Let z be ((-4)\/6)\/(6\/(-45)). Solve -3*a - 3*y = p, z*a + 0*y + 5 = 2*y for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 24652, 24649, 24646, 24643?\n\"Answer: -3*l + 24655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 - 53)\/(2\/14). Let l = 442 + r. What are the prime factors of l?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - 6*c + 19. Determine y(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11055268 and 2556.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s**3 + 528*s - 526*s + 97*s**3 + 153*s**3.\nAnswer: 250*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/27*3*24. Suppose -4 = 4*s + t. Are s and -4\/9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004666297 to seven dps.\nAnswer: -0.0004666","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -5, -2\/13, -0.9, -2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3 - 0) + 3 - (-35 + 35)) + 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 537087?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9694958*h**2 - 123*h**3 + 9694958*h**2.\nAnswer: -123*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-1 + -6*(sqrt(1700) + (sqrt(1700)*1 + -3 - sqrt(1700)) - (-3 + sqrt(1700)*2 + sqrt(1700))**2)).\nAnswer: -91871 + 1140*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -931556*y**3 + 931558*y**3 - 4*y**2 - 2*y**2 + 6*y**2.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*n + 2*i - 3*i, n = 2*i + 1. Let v be -2 - 9\/(2 + n). Sort 0, 4, v in decreasing order.\nAnswer: 4, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -67*x + 330*x - 1183210700. Round x to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.8 + -0.72. Let k = y - -0.92. What is the closest to k in 3, 0.2, -2\/9?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wq when two letters picked without replacement from lwqvn.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -22*m - 4. Let t(x) = 2*x**2 + 13*x + 5. Let g be t(-6). Calculate the lowest common multiple of n(g) and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -324 - -342. Solve -116*p = -119*p - u for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -124030 + -10?\nAnswer: -124040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 696013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*h**3 - 21*h**3 + 28*h**3.\nAnswer: -10*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 5913*b**4\/7 - 5973*b**3\/7 - 5853*b**2\/7 + 5973*b\/7 - 60\/7 = 0.\nAnswer: -1, 20\/1971, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*u**3 - 17*u**3 + 32*u**2 + 24*u**3)*(-70*u + 3 + 30*u - 4).\nAnswer: 40*u**4 - 1279*u**3 - 32*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115089 is divided by 28768.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3846?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 179916475 to the nearest integer?\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 635141 or 635137?\nAnswer: 635141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1.202, 2\/33, 0 in ascending order.\nAnswer: -1.202, 0, 2\/33, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**0)**19)**25*(r**(-3)*r**(2\/7)\/r*r)\/(r**(2\/3)\/r**6) assuming r is positive.\nAnswer: r**(55\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 406481 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2339*w**3*x**3 + 69*w**3*x**2 + w**2*x**2 + w*x**5 + x**3 wrt x.\nAnswer: 14034*w**3 + 60*w*x**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.162 + 0.338. Suppose -2*b - 2*b - 16 = 0. What is the nearest to -1\/4 in t, 0, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) - 3*sqrt(1331)) + -5.\nAnswer: -22*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + 2)*(6100\/(-90))\/((-6)\/9). What is the highest common divisor of h and 793?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 57040, 56977, 56916, 56857, 56800?\n\"Answer: h**2 - 66*h + 57105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (54\/(-540))\/((1\/(-24))\/((-1)\/(-1))). Let o(p) be the first derivative of c*p**5 + 0*p - 2*p**2 - 7*p**4 + 20\/3*p**3 + 21. Factor o(l).\nAnswer: 4*l*(l - 1)**2*(3*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from nngng.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11193 and 26.\nAnswer: 22386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-8))**(4\/13)*(b\/(b**0*b)*b)\/b*b**(-2\/15)*b assuming b is positive.\nAnswer: b**(-311\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 175\/490*(-11)\/(220\/8).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/6*(0 + 3). Suppose -6 = -f*q + 4. Suppose 4*j + q - 2 = 5*d, 5*j - 18 = -d. Solve 6*n = 5*r + j*n, 0 = 4*r + 5*n + 37 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.6 (b) -4.68 (c) -2\/5 (d) -47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -6*l + 71. Let o be d(11). Suppose -y - 11 = -4*b - 2*y, -o*y = 4*b - 7. Factor 1\/2*s**5 - 1 - b*s**4 + 9\/2*s - 8*s**2 + 7*s**3.\nAnswer: (s - 2)*(s - 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*c + 5 = -90*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 13*h**3 - h**2 + h + 2. Let a be s(-2). Let t = -94 - a. Calculate the lowest common multiple of 6 and t.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 3 = -4*v - 3, 2*i + 3*v = -5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*w + 5415 = 0. What are the prime factors of w?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3*s**3 + 62*s. Let q(y) = -8*y**3 + 187*y. Calculate -11*c(a) + 4*q(a).\nAnswer: a**3 + 66*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-12*(-10)\/1080)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-20)\/(-8) + -3)\/((-4)\/(-1368)). Which is smaller: d or -170?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 26051 - 25856 + 2*k - 29*k. Let d be x(7). Suppose 3*t = -t - 8. Put -3, t, 1, d in ascending order.\nAnswer: -3, t, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 3) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 20 = 3*z, 0*a = 4*a - 5*z + 20. Let r(l) = l**3 + 4*l**2 - 3*l - 5. Let y be r(a). Let x = y + 25. Is 11 bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -22*i**2 - 1834*i - 42592. Let g(h) = 2*h**2 + 167*h + 3872. Let t(d) = 6*a(d) + 68*g(d). Determine r so that t(r) = 0.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44691?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k - 5*x - 13, -4*k - 10*x + 5*x = 6 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.01542 - -0.01542. Which is the smallest value? (a) -0.7 (b) t (c) 51 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37599 plus 2?\nAnswer: -37597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*r - 164910 = 28181 + 98674. What is the remainder when r is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.09 - -2.12. Which is the second smallest value? (a) -5 (b) -2 (c) 3 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 6*u**2 - 10*u - 5. Let y be p(-4). Let q = -49 + 79. Calculate the greatest common factor of y and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 5*s**2 - 7. Give z(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 3*h**2 + 3*h + 4. Let j be u(4). Let i = 309\/2 + -154. What is the nearest to j in i, -1\/4, -5\/11?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 15 = -3*m + 4*m, -m - 3*w = -13. Suppose m*k - 14 = -0. Solve -6*l = 5*h - l + 5, 0 = k*l + 2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1021*i**2 + 1955*i**2 - 929*i**2.\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 367.75 times -419\nAnswer: -154087.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22503225 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 5*x + i, 2*i - 21 = -25 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4578 is divided by 4531.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 135088, 135065, 135048, 135037, 135032?\n\"Answer: 3*v**2 - 32*v + 135117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 85991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -25430134 divided by 174179?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -14*o**2 + 17*o**2 + 2 - 8*o + 11*o**2. What is the units digit of g(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 75 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9\/5? (a) -0.1 (b) 1\/4 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + 5)*(-4 + 5). Let g = 0 + s. Suppose -4*t = 4*a, -3*a - g + 0 = 0. Do -2 and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 2555300?\nAnswer: 2555303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 3*g - w, g + 5*w - 5 = -0*w for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 14*o - 7. Let n = -131 - -166. Let p(j) = 2*j - 1. Let a(l) = n*p(l) - 5*d(l). Let m(q) = 19*q**2. Give a(m(c)).\nAnswer: -1805*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 52157.6066 + -52632.6065562. Let c = a + 475. Round c to six dps.\nAnswer: 0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - 17. Which is the nearest to -0.1? (a) -0.06 (b) -0.4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6155 is divided by 158?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -416 + 425. Is 6876\/27 + (-6)\/b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(((-1)\/(-5))\/((-147)\/(-245)))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38.141 + -8.859. Which is the closest to z? (a) -3 (b) 2 (c) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + k**2 + 1. Let w(u) = 39*u**3 - 52*u**2 - 52. Let l = -6086 + 6081. Determine l*w(d) - 260*n(d).\nAnswer: 65*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2376 + 4686. Suppose 0 = 5*j + 2*n - w, -2*j + 5*n = -574 - 379. Suppose 2*q + 4*k - j = 22, -q = k - 247. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 42\/737 and -0.2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 4*d + 2*d)*(2*d**2 + 2*d**2 - 6*d**2) + (6*d + 4*d - 3*d)*(138*d**2 + 117*d**2 - 54*d**2).\nAnswer: 1409*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10 - 11 - (-42)\/2. Let j = 40 - z. Calculate the remainder when 35 is divided by j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -225 - -230. Let j = 0.2 + -0.3. Put j, 3, c in descending order.\nAnswer: c, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 24 or -2\/490419?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((-1)\/3 + 0). Let n be (-35)\/p + (-9)\/(-27). Let c be -1 - 0 - (-11)\/n. What is the second smallest value in -0.1, c, 0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 2, -3*p + 3138 = 4*w + 446. Is p a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = o - 12 + 18, -2*o = -4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 831063?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of s**4*y + 2*s**3*y**3 + 271*s**3 - s*y**3 + 2*s*y - 340*y wrt s?\nAnswer: 12*s**2*y + 12*s*y**3 + 1626*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - -10 - (1 - -2 - -54)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*s = -6*s - 6039. Calculate the remainder when s is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, -0.4, 3\/2, -1\/32 in increasing order.\nAnswer: -0.4, -1\/32, 3\/2, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**5 + 82140*m**4 + 337348980*m**3.\nAnswer: 5*m**3*(m + 8214)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/((-16)\/2))\/(308\/1120*-2)\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32155\/3 + 10718. What is the nearest to i in -0.014, -1\/9, -0.4, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*l + 57995 - 18899 = -300*l - 307*l for l.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8463959 and 3488?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -4 + 2. Solve -4*p - 3*h = -8*p - 10, -s*h + 4 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -4*w + 8, 4*w - 36*g = -33*g - 22. Let n(y) = -37*y**3 - y**2 - 3*y - 2. Determine n(w).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-53 - -38) + -1 + 14 - 73\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) - -2*sqrt(204)*-3)\/(4*sqrt(1728)).\nAnswer: -5*sqrt(17)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -5, 3.8?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 8*m**2 + 792*m + 15639. Calculate g(-29).\nAnswer: -601","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -132 - (-62 + 34) - -84?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 65926 (b) -4 (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-3) + 10\/15?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence timi when four letters picked without replacement from ipimimt.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*((-84)\/(-9))\/(-4). Suppose 5*q = r*q - 4. Let g = 14 - 27\/2. Which is bigger: g or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 21*f**3 + 2*f**2 - 6*f - 14. Let p(w) = -122*w - 23*w**3 + 15 - 2*w**2 + 128*w + w**3. Let c(t) = -6*p(t) - 7*q(t). Is c(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 12 - 15. Suppose 5*k - 2*k + 4*u = -1, -4*k = 3*u - f. Solve -5*y + k = 5*d + 6, -3*d + 21 = -5*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 63*w - 87 = 64*w, 3*w = z - 21. What is the smallest common multiple of 642 and z?\nAnswer: 3210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eleven eighths of a tonne?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-8)*(-4)\/(-18)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2624*r + 11136 - 12393 - 111575 = 0 for r.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1917328 by 9044.\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -4*g - 27, 2*h = -2*g + 3*g + 9. Suppose 0*r - 24 = -h*r. Suppose r*n - 3*n = 40. Solve 5*k - n - 17 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**3)**(-1\/69)\/(q**8\/q**(11\/3)) assuming q is positive.\nAnswer: q**(-302\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -5*x. Suppose -33 = o - 35. Calculate g(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13109, -5, -4, -8 in ascending order.\nAnswer: -8, -5, -4, 13109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {l: 1, i: 3, t: 5, b: 1, n: 1, q: 2}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6161 and 11230.5.\nAnswer: 17391.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 151 = 61788*j - 61792*j, 2*j + 2*u - 8 = 0. Let t(i) = 31*i - 1. What is the remainder when t(3) is divided by j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -324 (base 8) to base 5.\nAnswer: -1322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.0116*-0.4\nAnswer: -0.00464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -8. Find the common denominator of 830\/(-60) + (-3 - h) and 5\/(-8) - 2\/4.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 8:32 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + 7*b - 3. Let a be v(-8). Let y(h) = 2*h - 3. Let f = -6 + 13. What is the lowest common multiple of y(a) and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*v - v - 36 - 54 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -6. Suppose -28*n = -3*k - 31*n + 9, 5*k = n + 15. Sort 0.4, r, k in descending order.\nAnswer: k, 0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5453454l in millilitres?\nAnswer: 545.3454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 172291318 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-13)\/(13\/(-252))*(-39)\/(-26). Round q to the nearest ten.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1170 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/28 + -25\/84. What is the closest to 0 in 8, -4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -264773953 plus -49365?\nAnswer: -264823318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 2795719?\nAnswer: -1\/2795719","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5994699, 23978811, 53952325, 95915235, 149867535, 215809219?\n\"Answer: -o**3 + 5994707*o**2 - 2*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 5*f - 117. Let s(a) = -2*a + 39. Let g(o) = -2*l(o) - 7*s(o). Let j be g(22). Suppose -4*x = -j + 25. Solve -3*r + x = -r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17373?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 1 - 7. What is the third derivative of -3*p**6 + 0*p**6 + 5*p**2 + 10*p**i - 4*p**2 wrt p?\nAnswer: 840*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 + 40. List the prime factors of o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1449.\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40425 and 1869.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 11\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 + 10 = -19*h. Which is the nearest to 0.1? (a) 3\/41 (b) h (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, -0.4, -372?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 326022, 652047, 978072, 1304097, 1630122, 1956147?\n\"Answer: 326025*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of -g**7\/1470 + 31*g**6\/210 + 25*g**5\/84 - 14*g**2 + 2. Determine d so that n(d) = 0.\nAnswer: -1, 0, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -93959 to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(((6\/4)\/3)\/(4\/16))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5212805 and 995?\nAnswer: 995","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1581 is divided by 223.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13305*k - 13312*k + 27 + 156 - 54 to the form s*k + x and give s.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55 and 70?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of s**6\/30 + s**4\/24 + 2*s**2 + 2*s. Let i(t) be the first derivative of j(t). Find the second derivative of i(u) wrt u.\nAnswer: 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 884, 1139, 1394?\nAnswer: 1649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -296 smaller than -257?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -2*u + 48. Suppose -3*z + 38*s = 41*s - 291, 397 = 4*z + s. Let j = z - u. Does 26 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13359.\nAnswer: 3, 61, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - i + 2)*(0 + 4 + 6)*(0 - 1 + 2) to f*i + u and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 147 = -6*u + 3*u, 5*s - 65 = -u. What is the remainder when u is divided by 19?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -44 - -50. Let s(f) = 4*f + 4. Does 10 divide s(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 16*a**2 + 54*a - 21. Let z be j(-15). Let s = z + 13323\/22. Calculate the common denominator of 35\/128 and s.\nAnswer: 1408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1563456548?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*u - 13*u - 30. Let p(s) = -s**3 - 10*s**2 - 7*s - 68. Let b be p(-10). Solve -b*l = l - u for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 s when two letters picked without replacement from {v: 2, c: 1, s: 4, z: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 39 - -3?\nAnswer: 3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 1193 divide 2833375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-12)\/(-5 + 2) - 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2253484, -2253482, -2253478, -2253472, -2253464, -2253454, -2253442?\n\"Answer: x**2 - x - 2253484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*t**2 + 2*t**2 + 5*t**2.\nAnswer: -21*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(-33)*m))\/m**(-14) assuming m is positive.\nAnswer: m**47","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = -2*r - r. Let d = -16 - r. Let v be 36\/d*5\/2. Solve a - 4*a - 3*p = -15, 0 = -5*a - p + v for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3\/7 (b) -0.4373 (c) -820\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 131\/5 and -11.8453 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zs when two letters picked without replacement from {z: 3, s: 13}?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 146648874*g**2*n + g*n + 4*g - 1766*n - 465 wrt g.\nAnswer: 293297748*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -8. Let n be (8 - z)*(-2)\/(-3). Suppose -u + 55 + 50 = n*m, -2*u - 10 = 0. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, m: 3}. Give prob of sequence mxmm.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*f**2 - 23*f**2 + 14968*f - 4*f**2 to the form l + h*f**2 + u*f and give u.\nAnswer: 14968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p + m - 43 = 0, 2*p + 8 = -4656*m + 4652*m for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -825 - -938. List the prime factors of j.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4 is divided by (-16)\/(-4) + 0 + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c4c89a - -4?\nAnswer: -c4c896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - 41. Let f be 134\/6 + i\/(-63). Let c = 35 - f. Calculate the lowest common multiple of c and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003003 rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1336 + -919. Find the common denominator of 131\/18 and (-5)\/30*d\/(-6).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(0*g + g + 10*g - 3*g + 4*g + g + 2 - 2 - 2*g + 3*g - g - g + (3 - 2 + 1)*(2*g + 1 - 1) + 0*g - 3*g + 4*g) + 2 - 2 - g.\nAnswer: -35*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 752495889?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -11 (b) 6 (c) 3\/2 (d) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 9, -26, -1, -5.\nAnswer: -26, -18, -5, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 837 - 1.7\nAnswer: 835.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d**4\/8 + 969*d**3\/4 - 1941*d**2\/2 + 971*d = 0. What is d?\nAnswer: -1942, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-22)\/(-2) - (-6 + 8) - 3. Solve 18 = -4*u + 5*k + b, 0 = 2*u + 3*k - 16 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -s**5\/20 + s**4\/3 - s**3\/2 + s**2 + 6*s. Let h be m(3). Calculate the remainder when (4\/(-12))\/(h\/(-114)) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1136035947 to the nearest integer?\nAnswer: 33705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + i - 1 = 2, 0 = -3*s + 5*i - 15 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - 37) + -221 + 205 + -67 + -1?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2046033160 + 3?\nAnswer: 2046033163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2916*m**4 - 33205464*m**3 - 1620603504*m**2 - 26314687264*m - 142361549184.\nAnswer: 4*(m - 11436)*(9*m + 146)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1719 is divided by 123.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5d3a (base 14) to base 3\nAnswer: 211101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 1. Suppose 0 = 2*o - 12 - 14. Suppose -5 = -d*h + o. Is 7 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8271*r**5 + 5*r**4 - 261*r**3 - 94*r**2 - 3531*r + 21?\nAnswer: 496260*r**2 + 120*r - 1566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 63 - 3\/((-5)\/(-5)). Is 31\/10 - 3 - (-30834)\/h a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 8 = w, 2*w + 6 = 4*a - 2. Suppose -2*m = -a*m. Suppose m = -3*r - 3, -7 = -y + 2*r - 2. What is the greatest common divisor of y and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 676125511?\nAnswer: 676125511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**3\/3 - 82*c**2 + 2809*c\/3 - 1542 = 0. Calculate c.\nAnswer: -257, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -253*d - 47. Suppose 2*o + 4*o = -60. Is r(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 5\/9*q**4 + 0 + 2\/3*q - 5\/9*q**2 - 1\/9*q**5 - 5\/9*q**3 = 0.\nAnswer: -1, 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -7*f + 6. Let p(u) = 6*u - 4. Is p(f) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p*p\/(p\/(p*p*(p\/p**(-10))\/p*p))*p)*p**6*(p*p\/(p**(-12)\/p))\/(p*p**(3\/11)*p*p) assuming p is positive.\nAnswer: p**(41\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l - 2 = -10*i - 9*l - 7, 3*l + 45 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((13328\/(-51))\/28)\/((-2)\/(-3)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -376, -425, -478, -535, -596?\nAnswer: -661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/56 and -37\/252?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1038 + 7264\/7. Let p be ((-6)\/15)\/(12\/10). Which is the closest to p? (a) 0.5 (b) -4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 0.01, -5, 3, 2\/5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.04762 and 7.\nAnswer: 7.04762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.18 - -0.2.\nAnswer: -1.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -35962 + -341.6\nAnswer: -36303.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47653 + -47648. Which is the fourth smallest value? (a) -0.2 (b) 4 (c) v (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (3 - (-6 + (0 - -9))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 6*l - 1)*(21*l - 11*l + 27*l) to the form c + f*l + k*l**2 and give k.\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 10:01 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2832 = 9*h - 5*c, -4*h + 2*c = -988 - 272. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 3*k - 4, -5*q = -k + 16 - 0. Suppose -2*x = -2*r + 8, r - 2*x - 14 = -3*r. Suppose -6 = r*d - 21. Put d, q, -9 in descending order.\nAnswer: d, q, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/3149 and 81\/9112.\nAnswer: 428264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 + -27. Suppose -6 - 9 = -5*z. Suppose 5*k = -o + k - 22, -3*o = -z*k - 9. Sort 3, l, o in decreasing order.\nAnswer: 3, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - w - 19 = 0, 4*a - 5*w - 25 = 56. Calculate the remainder when (-9)\/6*498\/(-9) is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 62*u**2 + 9*u + 2. Let g(r) = 37*r**2 + 4*r + 1. Give 5*g(y) - 3*v(y).\nAnswer: -y**2 - 7*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 11830.00954 to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 11 = -4*p, 8*b + 58*p = 54*p - 2 + 18 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -847940 + 1341140. What is w rounded to the nearest 10000?\nAnswer: 490000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19097 and 257753?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 1 = -4. Suppose 3 = f*z - 27. Solve z = 5*u + 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*f*q**4 + 170903*f*q**3 - 48*f*q + f - 2*q - 848 wrt q?\nAnswer: -168*f*q**2 + 1025418*f*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -181, -373, -565?\n\"Answer: -192*k + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 take away 0.501?\nAnswer: -23.501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 12 = -4*o - 2*c, -5*o = -2*c. Suppose x + 6 = o*y, -y + x - 1 = -4. Let q(d) = 2*d + 2. Let n be q(-1). Solve 12 = -n*v + y*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 - 96 = -5*c. Find the second derivative of -4*u**c + 6*u**3 - 7*u - 9 + 10*u + 4*u**3 wrt u.\nAnswer: 60*u - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6050039919 to the nearest integer?\nAnswer: 77782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5 = -z, -24 = -5*v + 2*z + 2. Differentiate 15 - 21 + p**v - 16 with respect to p.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1761 and -1859.\nAnswer: -3273699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 213 + -110. Let k = s - 42. Let a = 89 - k. Does 9 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4320) + sqrt(4320)*-2 + sqrt(4320))\/(sqrt(24)*-6))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 4*b - 2. Let r be s(5). Let x be (-1)\/1 - (6 - 3). List the prime factors of 2 + 4 + r + x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o = 6*o - 16. Let p be (o*2\/(-4))\/(-2). Let b = p - -1. Solve 5*m - 2*m - a - 1 = b, -2*m - 4 = -3*a for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((18\/(-4))\/3)\/((-252)\/(-112))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 2662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*u**2 + 7*u**2 - 4*u + 3*u + 5*u**3 + 2 as m*u**3 + b + t*u + k*u**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 316387?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/5 in 4, 0.03, 2\/21, 2\/13?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i - 1. Suppose -g = 4*g - 20. Let n = -5 + g. Let q(d) = 2*d**2 + 2*d - 1. Let u(c) = n*q(c) + 2*l(c). What is the first derivative of u(b) wrt b?\nAnswer: -4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44498*19\nAnswer: 845462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pj when two letters picked without replacement from pvvvvvvvvjvvvvvv.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56 - -57. Suppose -8*h - g + 281 = 0. Solve 4*x + 5*u = -1, 3*x = 6*x - 3*u + h for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 28 - (3 - 1) - 8. Suppose -240 = -j*q - 2*q. Solve 2*z - q = -4*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 484346\/8 - 16099\/3788.\nAnswer: 60539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 151579, 606283, 1364115, 2425069, 3789139, 5456319?\n\"Answer: -m**3 + 151570*m**2 + m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -6*f**2 - 36*f + 9. Let u be i(-6). What is the closest to -0.1 in 4, 1, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 68560 to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1371814 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 2*w + 0*w)*(22*w**3 - 65 + 65).\nAnswer: 22*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-3))\/(6\/(-18)). Let p be 2 + -2 + -2 + j. Is p greater than or equal to -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhsshh. Give prob of sequence shhs.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6423 is divided by 2822?\nAnswer: 779","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1153 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i + 5. Let d = 13 + -17. What is the remainder when 2 is divided by k(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = -i - 6. Let q = i - 36. What is the greatest common factor of q and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**5*s*s\/(s*s*s**(-2\/11)))\/(s**(2\/25)*s**(-4)*s))**(3\/7) assuming s is positive.\nAnswer: s**(-741\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 200 and 57550.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1346253?\nAnswer: 3, 53, 8467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*b**2 - 340*b**2 + 103*b**2 + 108*b**2.\nAnswer: -45*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*q - 28*q = 10*q - 469 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -14. Let g = 71 + -83. What is the units digit of (f\/(-2))\/((3 - 5)\/g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10\/511 or 1?\nAnswer: -10\/511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*u**2 + 115*u**2 - 196*u**2 - 201*u**2 - 1.\nAnswer: -320*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 49*d**2 - 143*d**2 + 47*d**2 + 49*d**2 - 147 + 68*d. Let s be k(-37). What is the greatest common divisor of s and 200?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 52*i**2 + 54*i + 133. Let f be s(-51). List the prime factors of f*(-7244)\/112 + (-4)\/7.\nAnswer: 3, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 8*r**2 - 3*r - 3. Let b(u) = -13*u**2 + 5*u + 5. Let o(g) = 3*b(g) + 5*v(g). Let k(m) = -81*m**2. Give k(o(d)).\nAnswer: -81*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5513?\nAnswer: 37, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2887113 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86, -87, -86, -83, -78, -71?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 480650?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**2*a**14)**(2\/69)*(a**5*a*a*a*a*a**3)\/(a**9*(a*a**(-5)*a)\/a*a) assuming a is positive.\nAnswer: a**(446\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4*k = -1676, -k + 852 + 799 = 2*v. List the prime factors of v.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 0.3 (c) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -15*y. Let f be (-10)\/((-20)\/(-6))*2\/(-3). Let a(z) = 55*z**f + 49*z**2 - 96*z**2. Calculate x(a(n)).\nAnswer: -120*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**3 + 7*p**3 - p**3)*(6470 - 443 - 3473).\nAnswer: 7662*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that j**3\/4 + 41*j**2 - 75371*j\/4 + 2489955\/2 = 0.\nAnswer: -390, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 923604, -2\/15 in increasing order.\nAnswer: -2\/15, 0, 923604","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.4, -34822 in decreasing order.\nAnswer: 0.4, -0.4, -34822","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in 0.2, -14\/3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 8*q**2. Let g(v) = -53*v**2. Give g(f(x)).\nAnswer: -3392*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-4)*18\/(-3). Suppose -12 = -8*o + 6*o. Solve y = t*y - o for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/(-10))\/((-1)\/10). Let p be (-2 - (3 - w))*2. Suppose -3*o = p*h - 12, o + 0 = -h + 4. Put 2, -5, o in decreasing order.\nAnswer: o, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 3*m - m + 16 = 0, -5*m + 14 = -h. Suppose -4*t - 32 = -4*y, 8 = 3*y + y + 4*t. Let n = -2 + y. Solve -n*u - h + 10 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -128972 and 7271685.\nAnswer: 7142713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 3*w = 7, o = -o + 2*w + 14. Let u be (o\/(-10))\/(172\/(-1935)). Suppose 1\/2*a**3 - 7\/2 + 15\/2*a - u*a**2 = 0. What is a?\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**0\/c*c)\/c**7)\/(c**0\/c)**34 assuming c is positive.\nAnswer: c**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 527.1774 centuries to months.\nAnswer: 632612.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 + 2.3. Suppose -12 = -3*x - 3. What is the closest to 2\/9 in p, x, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-340)\/(-272))\/(2\/(-8)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -8 + (14 - 1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -504536, -504520, -504504, -504488, -504472, -504456?\nAnswer: -504440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 44, -2.\nAnswer: -11, -2, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -32.6 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o - 2*o - o)*(2 - 2 - 2) - o + 10*o - 2*o - 178 - 179 + 355 + 10*o + (-3 - 1 + 7)*(4*o - 5*o + 0*o).\nAnswer: 12*o - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 2:19 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -21*c**4 + 12*c + 3*c**2 + c**2 - 8 - 9*c**3 + 25*c**4 - 3*c**3 = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -79 < -834?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2030781 is divided by 338312?\nAnswer: 909","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - 2 + 7)*(u - 2*u - u) + 4*u - 4*u - u - 21*u + 567 - 567)*(-3*u - 3*u**4 + 3*u) - 3*u - u**5 + 3*u - 4 + 4 - u**5 - u**4.\nAnswer: 76*u**5 - u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 6:23 AM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 3*p + 162, v - 24 = -4*p + 25. Sort -1, 0, 5, v, 2 in ascending order.\nAnswer: -1, 0, 2, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, j: 3}. Give prob of sequence oj.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1.9 times 4\nAnswer: 7.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3 + 952781*y**2.\nAnswer: -y**2*(y - 952781)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20846 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 38 = -8. Let w(f) = f - 3*f + 3*f. Let q be w(j). Solve k = -k + q for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211330221 (base 4) to base 12.\nAnswer: -75b49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, f: 1, d: 2, g: 4}. Give prob of picking 1 b and 3 g.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n**4 - 20*n**3 + 20*n**3)*(n + n - n) + n**5 - 7 + 6 - 1 - 4*n**2 - 4*n**5 + 5*n**2 + 6*n**5.\nAnswer: -2*n**5 + n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 4*l**2 - 7*l - 7. Let x be q(-5). Let k = x - 5. Let h be (2 + k)\/(2 + -1). Are h and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.1273203 rounded to one decimal place?\nAnswer: 45.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/2)*f)**18*(f*f*f*f**3*f)\/(f*f\/(f\/((f*f*f**2)\/f))))\/((f**(-2\/5))**21\/(f**(1\/3)*f*f*f**(-3))) assuming f is positive.\nAnswer: f**(296\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/10 and -11\/3148.\nAnswer: 15740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -4 - (-3 + 0)) + -43 + (117 - 39)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven quarters of a meter in millimeters?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202 + 2111000100111?\nAnswer: 2111000101020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1020441 is divided by 28345.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**4 + 864*b**3 - 67978*b**2 + 67116*b = 0.\nAnswer: 0, 1, 102, 329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6.05076 and -0.5.\nAnswer: -3.02538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.9594578 years?\nAnswer: 0.009594578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*b + 45*b + 20 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7.8? (a) 1 (b) 2\/3 (c) 12 (d) -0.4 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y + 103*y = 97 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*o = -19*o - 30. Calculate the greatest common factor of o and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99961 is divided by 662.\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 19.9, 3\/4 in ascending order.\nAnswer: 3\/4, 3, 19.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 13 (c) -97\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -16*(-8 + (-8 - -4)). Suppose -5*g - m = -13*g. What is the remainder when 69 is divided by g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 8 + 0 + -10?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2591.\nAnswer: 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -45819*x**4 + 4*x**3 + 1593533*x**2 + 2*x.\nAnswer: -1099656*x + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6160731 divided by 108083.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(1 - 2*s - 1 + (-1 + 6 - 3)*(-4*s + s + s) + 0*s - 2*s + s - 324 + 324 - 119*s).\nAnswer: -126*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -34 + 0*d + 3\/2*d**2. Let l(z) = 3*z**2 + 7*z**2 - 2*z**2. Determine l(y(c)).\nAnswer: 72*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 466\/(-18640) - 2884\/(-160)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1805783?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 17\/4 of a micrometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 132843168 rounded to the nearest 100000?\nAnswer: 132800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -301*o + 294*o + 579, 4*j + 178 = 2*o for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10, 23, 0.3359?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 341 in descending order.\nAnswer: 341, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**3\/15 + 3842*o**2 + 138566352*o\/5 + 7877491352\/15 = 0. What is o?\nAnswer: -14398, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 41558785 to the power of 1\/2, to the nearest integer?\nAnswer: 6447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(320) - (sqrt(320) - (sqrt(320)*-2 + sqrt(320) + -4) - sqrt(320))) + 4 + sqrt(320)*-1 - -2*sqrt(320)*-1*-3) + 3)*-4*6)**2.\nAnswer: 138240*sqrt(5) + 4613184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -17*j**2. Let w(x) be the third derivative of -x**4\/24 - 21*x**2 - 4*x. What is w(u(r))?\nAnswer: 17*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.35 - 9.35. Let f = 8 + -12. Which is the nearest to 2? (a) n (b) 0.5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.2, 2\/9, 244999?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.96 + -0.04. Let u = y + 4. Is u smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 13, 5 in descending order.\nAnswer: 13, 5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 14*l - 10. Let n be ((-1)\/((-9)\/(-78)))\/(4\/6). Calculate v(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, o: 4, g: 2, a: 8}. What is prob of picking 2 g and 1 o?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1514 - 1456. What is the remainder when o is divided by (1 - 10\/4)*-10?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 40 = -5*i, -11*i + 6*i - 32 = 3*z for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00352064 rounded to 4 dps?\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-12) - (182\/140 + 16\/(-20))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -11*i - 4. Suppose 4*w - 5*d - 31 = 0, 13*w - 12*w + 5*d + 11 = 0. Let z(s) = -88*s - 33. Give w*z(y) - 33*j(y).\nAnswer: 11*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 158.1226 millennia to months.\nAnswer: 1897471.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of n**4\/12 + 2*n**3\/3 - 3*n**2\/2 - 3*n. Let m be c(-5). Let z = -85 - -90. Solve g = m - z for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 377569605.\nAnswer: 3, 5, 7, 1723, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 4. Let s = p - 9. What is the nearest to 1 in s, 3\/2, 2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 - 10*b - 15. Let k be j(12). What is the second derivative of 25*v - 17*v + k*v**3 - 4*v**3 wrt v?\nAnswer: 30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48242.\nAnswer: 2, 24121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 98736234 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23? (a) 2 (b) 3 (c) -2 (d) 115 (e) 168\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 366896878 a multiple of 113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 7*v**3 + 15*v**2 - 17*v + 32. Let m(z) = 8*z**3 + 18*z**2 - 19*z + 35. Calculate 7*b(t) - 6*m(t).\nAnswer: t**3 - 3*t**2 - 5*t + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36267.09 millilitres to litres.\nAnswer: 36.26709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 643363 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 12. Let r be (-9)\/s - 2\/8. Solve -9 = -u - 4*b, 3*u + 5*b + r - 15 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2041?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2 = -w + 16, -38 = -5*c - 4*w. Is ((-10514)\/(-21))\/(0 - (-4)\/c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o\/(o\/(o*o**(-28)*o)))\/o)\/o**12 assuming o is positive.\nAnswer: o**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.064 - -0.016. Let p = k - 0.08. Which is the second biggest value? (a) -5 (b) 0.3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*f + f + 0*f)*(-8 + 8 + f)*(0*f - 2*f + 5*f) + (-5*f + 2*f + f)*(2*f**2 + f**2 - 2*f**2).\nAnswer: -71*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, 75, -5, 5, -2, 7.\nAnswer: -44, -5, -2, 5, 7, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 150, 155, 160, 165?\n\"Answer: 5*z + 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -6958\/19, 149, -1\/4, 3?\nAnswer: 149","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 2*h + 1. Let z = 0 - 0. Suppose 3*v - t = 2*t, z = -3*t - 6. Let k be u(v). Solve -41 = 5*x - 4*s, 0*x + s + 21 = -k*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 bigger than -57\/74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1091*r - 67661 = 1080*r. Does 7 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*n**3 - 120*n**2 - 97*n**4 - 254*n**2 + 854*n**2 + 2*n wrt n.\nAnswer: -2328*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 864*m - 3\/2*m**5 + 0 - 72*m**4 + 72*m**2 - 1725\/2*m**3 = 0.\nAnswer: -24, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16238880 a multiple of 630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10264 and 49935643?\nAnswer: 1283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 950 is divided by 53?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 7*k**2 + 8*k - 2. Let m be x(8). Let q be -1 + -2 + (-14)\/m. Is ((-2)\/q)\/(2\/(-276)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 + 58. Suppose -k + 16 = -4*r. Factor 2\/7*o**3 - 2\/7*o**4 + 0*o - 2\/7*o**r + 0 + 2\/7*o**2.\nAnswer: -2*o**2*(o - 1)*(o + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 34\/40*16\/(-14). Let k = 4\/7 + r. Which is the third biggest value? (a) 0 (b) k (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 - -67. Let y = r - 49.99999902. What is y rounded to 7 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -294, -299, -312, -333, -362, -399, -444?\nAnswer: -497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express u + 2*u**2 + 151154*u**3 - u**4 - 151154*u**3 as n*u**4 + f*u**2 + g + h*u + j*u**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284*v = -28450 + 29870 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(3\/11))**21)**(-24\/11) assuming d is positive.\nAnswer: d**(-1512\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -4. Suppose -9 = -5*f - 3*u + 4, -12 = -r*f - 2*u. What is the third derivative of 0*q**5 - q**5 - f*q**2 + 2*q**5 wrt q?\nAnswer: 60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (16\/(-40))\/(1\/(-30)). Let o(r) = r + 11. Let f(c) = -c. Let u be f(5). Let a be o(u). Solve -a*l + 2*l - 3 = -n, -5*l + x = 4*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 6*m - 10 + 3*m - 11*m. Let w be s(-5). Suppose w = -z - z. Let y(h) = h. What is y(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4154057?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than 204.2635?\nAnswer: 208.2635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-8) + 2\/(1008\/(-266))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1192 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c85 (base 13) to base 8.\nAnswer: -4131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61*x**2 - 41*x**2 - 127*x**2 to o*x + l + t*x**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnyynnnnyynn. What is prob of sequence yn?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rfkfurff. Give prob of picking 1 k and 2 f.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 65750690, 131501378, 197252066, 263002754, 328753442?\n\"Answer: 65750688*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -237 (base 9) to base 6\nAnswer: -524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2701, 5395, 8125, 10909, 13765, 16711, 19765, 22945?\nAnswer: 26269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 67041 (b) 1 (c) -1 (d) 4\/5 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**12\/(q\/((q*q**(-1\/16))\/q)))**(-18\/7) assuming q is positive.\nAnswer: q**(-225\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(972) + 5.\nAnswer: 5 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 132 + -52. Calculate the greatest common divisor of x and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w + 20. Let o be x(9). Which is smaller: 2 or o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-14) - (-1390)\/35. Let f = 6831 + -6491. Calculate the highest common factor of f and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x + 0*x = -225. Is 7 a factor of (-2)\/(6\/(-15) - 8\/x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**3\/(f*f**(1\/6)\/f)*(f*f*f\/(f\/((f*f*f**(2\/5))\/f)*f))**(4\/5) assuming f is positive.\nAnswer: f**(713\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 76 in -0.1, 2\/15, 4\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(55)*-6)\/(-2*sqrt(11)*-2).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3344)\/94848*3315 + ((-9)\/8 - -1)?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2212331213 + -1?\nAnswer: 2212331212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1309 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2463948894.\nAnswer: 2, 3, 11, 157, 21617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*sqrt(133)*-6)\/((sqrt(7) - (2*sqrt(21))\/sqrt(3)) + sqrt(63)\/sqrt(144)).\nAnswer: 80*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppspkkxpxpxlk. What is prob of picking 1 s and 1 x?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r + 0 = 8 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 400?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 55*j - 54*j - 26, 2*j - 3*z = 8. Solve -8*o + 26 = j for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11362)\/(-1482) + 2\/((-6)\/17).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*t**2 + 3*t**2 - 3*t + 5*t**2 + 23 - 2*t**4 - 21*t**2 to the form w*t + z + y*t**4 + m*t**2 + a*t**3 and give z.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-6)*(-1 - 20). Suppose -2*b = n - 22, 0 = 3*b + u*n - 2*n - 40. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-195)\/36)\/((-5410)\/(-4328)).\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = -0*b - b. Let k = 69 + b. Suppose u = 5*p + k, 8 = 3*u - 2*u + 4*p. What is the remainder when u is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 l, and 2 c when four letters picked without replacement from qqhlbhcxhcq?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 16084*o**2 - 24*o. Let a(f) = -16080*f**2 + 21*f. What is 8*a(z) + 7*n(z)?\nAnswer: -16052*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 2, -4\/321, 579, -0.1, 0.1, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -404163 in 15, 3\/2, -5, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -482 + 635. Calculate the highest common divisor of 17 and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 9*p + 16. Suppose 22*c + 200 = -28*c. Give a(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, g: 2, a: 10, x: 1, c: 5}. What is prob of sequence ace?\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/((-2)\/(-2) + 0). Suppose 2*z = -u*z + 110. Suppose -5*x + 3 = -z. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.4*-11054184.\nAnswer: 59692593.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9\/905 + -31828\/15385. What is the common denominator of 47\/4 and j?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-10 - (5 - 22))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t - 4*t + 5*t + t - 2*t - t + (-2*t + 5 - 5)*(-1 + 4 - 2) + (2 - 3 + 3)*(0*t + t + t))*(-2*t + t + 2*t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-28)\/8*-2 - (-4 - -6). Let i be (-21)\/2*k*(-8)\/60. Solve -2*p + 25 = -i*p + f, -5*p + 5*f - 45 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -132\/23?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 0 = -l + 28, 98*k = -l + 99*k - 24 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -325 - -328. Suppose -13*b - o*b = -9952. What is the hundreds digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1324*f - 1303 - 461 = -1306*f for f.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15463593 and 414.\nAnswer: 711325278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -169*h**3 - 181*h**3 - 171*h**3 + 524*h**3.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 865 = -152*k - 765 - 42 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -532 - 523 = -47*q - 11*q + 2251 for q.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**2. Let n(r) = 28*r**2 + 430*r + 28. Determine n(t(g)).\nAnswer: 112*g**4 + 860*g**2 + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1296 and 2252934.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34860132*l**2*p*u**3 + 3*l**2*p*u + 3*l**2*p - 2*l**2*u**2 + 23*l**2 + 2*l*p*u - 15*l*p - 3*l + 10*p wrt u?\nAnswer: -209160792*l**2*p*u - 4*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 10*i - 2. Let o be -11 + 17 + (-4)\/(-1). Suppose 752*w - o = 754*w. Let j(a) = -21*a + 5. Determine w*t(m) - 2*j(m).\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166769 - 492760 = -41*i. List the prime factors of i.\nAnswer: 7951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(275)*4)**2.\nAnswer: 40*sqrt(11) + 4401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 15*r + 15. What is a(-13)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*l + 61*l**4 - 14*l + 22*l - 27*l**4 wrt l?\nAnswer: 408*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 11:00 PM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-6))\/((73\/10 - 3) + -4).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of 5*w**4\/24 + w**3\/6 - w**2. Let a be ((-4)\/10)\/(3\/(-15)). List the prime factors of u(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8a3a - 3?\nAnswer: -8a3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -56885 in ascending order.\nAnswer: -56885, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/2 smaller than -0.0641?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 7:56 PM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 140 and 1148.\nAnswer: 5740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 9281 = -11030. List the prime factors of l.\nAnswer: 19, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -106 + 110. What is the biggest value in -1\/3, o, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five quarters of a litre in millilitres?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*h + 2*g, 4 - 18 = -3*h + g. Let c = -8 + 15. Suppose -h*r + 6*f = c*f - 83, -5*r = -4*f - 127. Does 3 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 440 = -5*z, 10*z - 12*z = 4*x - 1850. What are the prime factors of x?\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31079?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 3. Let t be b(0). Let q = t + 10. Let m be (-1 + q)*84\/9. What is the highest common divisor of m and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*g = 14690 + 6205. What are the prime factors of g?\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2539 or -3213?\nAnswer: -3213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 38, -37\/2 in ascending order.\nAnswer: -37\/2, 4, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - n + 171, -4*y = -2*n + 120 - 482. Sort 3, 1\/2, y.\nAnswer: 1\/2, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) + sqrt(2299) + (sqrt(2299) - (1 + sqrt(2299) + -5))**2 + (sqrt(2299) + -5*3*sqrt(2299))**2)*-1.\nAnswer: -450620 - 22*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7497*n + 33 = -5*u + 7496*n, -5*n - 139 = -u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-10))\/(16\/(-20)). Let y(j) = 2*j. Let f be y(1). Let p be (1 + -1)*1\/f. Does p = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42533*l + 340 + 5*l**3 + 42533*l.\nAnswer: 5*l**3 + 340","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 - u**2 + 1. Let f(n) = 3*n**3 + 5*n**2 + 1. Let p(x) = -f(x) + r(x). Factor p(d).\nAnswer: -2*d**2*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13823, 13792, 13751, 13694, 13615, 13508?\nAnswer: 13367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a meter in centimeters?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 4906712461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -8*c**2 + c + 2. Let z be p(-8). Is (-2)\/(-3 - (-381)\/z) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1228295, -1228177, -1228059?\nAnswer: -1227941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*n + 9 = -0*n + 87 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2808600 divided by -93?\nAnswer: 30200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 6 = 22. Solve -5*h + o*k + 14 = 0, k + 4 - 3 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 26331?\nAnswer: -26325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -21, -63, -177, -399, -765, -1311, -2073?\n\"Answer: -6*y**3 - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h + 2*h**2 + h + 3*h**2.\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*m - 5*t - 43, 5*t + 5 = 0. Let r be 2\/(-7) + (-15)\/21. Let s = r - -7. Solve -2*z + 0*q = -4*q - m, 0 = 3*z + 3*q + s for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/11 (b) -9\/77 (c) -1\/215\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/468448 and 25\/8.\nAnswer: 468448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 13763057?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -8 + 8 + 4*w. Suppose -4*y + 0*y = -12. Let j(z) = -3*z. Let n(t) = y*j(t) + 2*a(t). Calculate n(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of -j**3\/6 + j**2\/2 + 99*j. Let o(n) = 2*n - 1. What is 7*d(x) + 4*o(x)?\nAnswer: x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/3*(-342)\/798?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20120831 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -156 - 7184?\nAnswer: -7351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-10)\/(-4) - 1)*2. Let i(y) = y**2 - y - 2. Let m be i(-1). Suppose m = -2*x + 5*x - 15. Solve 4*h = -n - 5, -2*n + 25 = -x*h + t*n for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2)*(n**2 + 3*n**2 - 2*n**2) - 2*n**2 + 0*n**2 + 3*n**2 + (16 - 6*n - 16)*(0*n - 2*n + 0*n) as k + f*n + h*n**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -4*l - 3. Let j be r(-3). Suppose -j = 4*b - 25. Suppose 0 = b*s + s - 20. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 184*u**2 - 368*u - 759. Determine m(-182).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + (-272)\/612 + 40\/9. Solve 61 = -o*q + 65 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-3*((sqrt(720) + 0 + 2)*-5 - ((1 + sqrt(720) + 3*sqrt(720))*-5)**2).\nAnswer: 14760*sqrt(5) + 1728210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 2:57 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a tonne in kilograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -930 - -1657. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -4*w. Let g(z) = -2 + 10 - 8 + 0 + 22*z. What is g(h(t))?\nAnswer: -88*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-14)\/(t*t**(7\/5)*t*t)*(t**(4\/3)\/t)\/t*t\/(t*t\/t**(4\/11)))**(5\/2) assuming t is positive.\nAnswer: t**(-3251\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of -1 + 0*v + 1\/2*v**2 + 5\/3*v**3. What is the second derivative of x(y) wrt y?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -26*q - 154. Let k be l(-6). Suppose -s - k*t = t, 3*s - 5*t + 28 = 0. Is s less than -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -3*u**2 - 1455*u + 46329. Give h(30).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 7:13 AM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 5 = 5*s - 3*g, -g = -5*s + 10. Let o be s*4\/16*0\/2. Which is the second biggest value? (a) 0.5 (b) 0.4 (c) -1 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2018162 divided by -86?\nAnswer: -23467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, 133, 6, 3 in descending order.\nAnswer: 133, 6, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of c**4\/12 + 11*c**3\/6 - 2*c. Let p be a(-11). Suppose 3*j + 2*l = 449, p*j = j + 3*l - 152. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 758 a factor of 2581130988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -147, 5, 31 in descending order.\nAnswer: 31, 5, 3, -5, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = -53*a + 4*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/136 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 308.2005 nanometers?\nAnswer: 0.0000000003082005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 4*j - 5*v, 10*j + 4*v + 254 - 288 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 24?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-217184)\/18096 - -6 - (0\/(-1) + -6). Which is smaller: q or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2880) + ((sqrt(2880) - (1 + sqrt(2880)))*2)**2 + 2*2*sqrt(2880).\nAnswer: 4 + 120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(3 + (-1085)\/329) + 4\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 63843 - 26808. What is the hundreds digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1326 and 12.\nAnswer: 2652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1460 = -19*k + 15*k. Calculate the highest common factor of k and 292.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 95856*d*r**3 - 695*d*r**2 - 63*d*r + 47*r**5 - 3*r**2 + 3*r wrt r?\nAnswer: 575136*d + 2820*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26948147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -201.8 + 236.92. Let x = 0.88 + c. Which is greater: -1\/4 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30710)\/2075*(-75)\/(-30).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 5*d + 4 = 0, 2*m - 5*d = -m + 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-52 - -1) + -742 + 784?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 62681 - 62456. What is the remainder when i is divided by (58 - (-2)\/(-2)) + 1?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*r + 4*i, 6*r = 4*r + 4*i. Let y = r + -2. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 4\/7 (c) 1 (d) -1\/29 (e) 6.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 4*y + 7, 2 = y + b - 0*b. Put y, 2, 165 in increasing order.\nAnswer: y, 2, 165","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by 1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-3)\/(11 + (-312)\/30).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -16*q. Let r(i) = 4*i**2. Determine j(r(o)).\nAnswer: -64*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 1526.\nAnswer: 4578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 PM and 6:35 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8081 + 8085. Put o, 26, 2, -3 in decreasing order.\nAnswer: 26, o, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 132 and -2 - -220 - (4 - (-6 - -8))?\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-94 - -93)\/(0 - (-5)\/(-10)))\/2. Suppose 1221\/4*g**2 - 34*g + v - 1089\/4*g**3 = 0. Calculate g.\nAnswer: 2\/33, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3904906 - 0.0904906. Let b be 6\/(-4) - (-1)\/(-2). What is the closest to b in -2, s, -0.3, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -260845 or -260757?\nAnswer: -260757","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125) + (1*sqrt(125) + sqrt(125))*-5 - sqrt(125))\/sqrt(5))\/(sqrt(50)\/((2*sqrt(50) + sqrt(50))\/sqrt(5))).\nAnswer: -30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-3))\/(6\/(-72)). Suppose -2*g - 6 = -u*g. Let y be (-4 - -1) + 190\/38. What is the highest common factor of y and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 60 + -63. Let h(w) = -w**2 + 2*w + 2. Let j(m) = -m - 1. Determine u*h(i) - 6*j(i).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p + 15. Let y(u) = u - 1. Calculate g(b) - 3*y(b).\nAnswer: -5*b + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x**2 - 2 + 89*x**3 + 178*x - 353*x + 176*x + 77*x**4 - 78*x**4 as j*x**2 + y*x + g*x**4 + r*x**3 + u and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = 5*t + 15, -5*t + 10*c - 11*c + 10 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*o**2*p**2*t**2 - 57616834*o**2*p**2 - o*p**2 - 153*o*t + 2*o - p**2*t**2 + 7*t**2 + 101*t wrt o.\nAnswer: 4*p**2*t**2 - 115233668*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 534*a**2 - 1883 - 140*a**2 + 1883 to h + i*a + s*a**2 and give s.\nAnswer: 394","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 3358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/(-5)*(-2)\/(4\/1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p + 6*p**2 + 0 + 0*p**2 - 6*p + 6. Let m be f(4). Suppose -m = 11*l - 13*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -140728 and -8.\nAnswer: 1125824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 3\/7 (b) -0.11 (c) -7 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -886732, -886682, -886584, -886432, -886220, -885942, -885592, -885164?\n\"Answer: t**3 + 18*t**2 - 11*t - 886740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 563*c**3 + 2*c**2 + 2*c - 3. Let f = 137 - 136. What is the hundreds digit of l(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - 11*i**2 - 8*i + 2. Let r be j(-10). Let q(l) = 8*l**2 + 10*l + 1. Let w(d) = d**2 + d. What is r*w(v) + 2*q(v)?\nAnswer: -2*v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 + 40. Suppose -q - 2*z = -14, -7*q + 33 = -o*q - 3*z. Solve -2*d - 2*d = -q for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -4\/5, 2.2, -0.4?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - t**2 - t - 26. Calculate m(5).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -15, -17, -19, -21?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, n: 7, k: 1}. Give prob of sequence nn.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 6 - 2)*(-t - 4 + 4)*(-5 - 2 + 4)*(10*t + 18*t + 4*t) to the form w + q*t + y*t**2 and give y.\nAnswer: 960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -5*w**2 - 1. Let v(u) = -11*u**2 - u - 2. Let n(x) = 6*v(x) - 13*z(x). What are the prime factors of n(-5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m + 1. Let d be q(-1). Suppose 0 = -3*n + 11 + 19. Let l = -5 + n. Sort l, d, 3.\nAnswer: d, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -f**5\/20 + f**4\/2 + 4*f**3\/3 - 3*f**2 - 1001*f. Determine w(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21638, -43277, -64916?\nAnswer: -86555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -510 - -516. Let q be (15\/(-9))\/(t\/18). Let v(p) = -10*p**2 - 30*p. Let a(u) = 4*u**2 + 12*u. Determine q*v(c) - 12*a(c).\nAnswer: 2*c**2 + 6*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 25 = -5*k. Suppose -5*l - 9 = -3*b, 6 + 9 = 4*l + k*b. Which is smaller: l or -11\/8?\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13589?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5477.162 + -5482. What is c rounded to 1 dp?\nAnswer: -4.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41853350521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.7 + -5. Let k = -14 + 14.3. Let y = k + g. Are y and 0.2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*d + 37*d + 37*d + 70*d**3 - 26*d**3 - 105*d.\nAnswer: 44*d**3 - 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 867485?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -133*o**2*v**3 - 50*o**2 - 45029*o*v**5 + 6*o*v**2 - o*v + 119*v**2 + 6*v - 2 wrt v?\nAnswer: -798*o**2 - 2701740*o*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-396)\/(-5016)*(-8)\/6.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 402579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**2 - 2*y**2 + 2*y**2)*(-3 + 3 + y) + 8*y**3 - 8*y**3 + 5*y**3 + (y**2 + y**2 - 3*y**2)*(y + 1 - 1).\nAnswer: 7*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38 - -42. Let w be (-21)\/(44\/(-8) + i). Which is the third biggest value? (a) -1\/2 (b) w (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1566 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 1) + (-128 - -140)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -629*k - 603 + 1142*k + 603. Let i(w) = 2*w. What is r(i(d))?\nAnswer: 1026*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 41099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1*(5*sqrt(80)*-2*-1 - ((sqrt(80) + -1)**2*-4 - (sqrt(80) + 0)**2*2)).\nAnswer: 8*sqrt(5) + 484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1216))**2*2.\nAnswer: 21888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1551\/192448 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36.6 + -186.4. Let s = v - -223.0000027. Round s to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 21 = 4*c - 3*c, 5*c = -3*y - 39. Suppose 5*w = d + d, 5*d + 4*w = 0. Sort c, -1, d, 3 in decreasing order.\nAnswer: 3, d, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*t - 91 - 14. Let j(c) = -c**2 - 8*c - 7. Let s be j(-6). Suppose t*k - 415 = s*m, -2*m = -k + 2*k - 83. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-20 - (-1 + (3 - 11)))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6932 - 6952. Let p(u) = 6*u + 126. Determine p(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 352*o + 5*o - 9639. Let u = 40 + -24. Calculate the remainder when o is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 2*x - 6047, 2*o - 4*o + 2*x = -2420. Suppose -2*q + o = 5*t, 3*q - t - 687 = 1084. Is 37 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 796241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - t + 12 + 9, 5*t = -4*j + 21. Let p(c) be the second derivative of 0 + c + 1\/12*c**j + 0*c**2 - 1\/3*c**3. Determine p(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1851164 and 85558?\nAnswer: 20362804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -630 = 114*u - 219*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3\/3 + 4*a**2 - 192*a - 3328\/3.\nAnswer: 4*(a - 13)*(a + 8)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18485\/42952 + -11\/6136. Solve -c*s**2 + 15\/7*s - 12\/7 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 140320493 divided by 56741\nAnswer: 2473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/6)\/(4\/(-6)). Let o(z) = 10*z - 43. Let l be o(6). Suppose -26*h = -l - 61. Solve c*a = -h*a + 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -5*m**4\/3 - 87*m + 1. Let h(r) = 17*r. Calculate h(l(d)).\nAnswer: -340*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2013445*l = -2013403*l + 1596 for l.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10222 + 4?\nAnswer: -10215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/2931, 1\/4, -32, -5 in decreasing order.\nAnswer: 1\/4, -2\/2931, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + 23*o + 7. What is p(-18)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -545 (base 11) to base 3.\nAnswer: -220020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40 - -165. Is z a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1914\/355 and 102 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -59*y - 69*y + 3 + 18*y. Let r = 705 + -707. Is s(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (8 - 13) + 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4759812 to the power of 1\/3, to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 12:01 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -2*k, -y = 2*k - 1393 + 1389 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1000*q + 1 = 999*q, -q + 33 = 2*o for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 130, 167, 214, 277, 362, 475?\n\"Answer: d**3 - d**2 + 33*d + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 801*l**2 - 406*l**2 - 394*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 51*r**3 - 19*r**3 - 14*r**3 + 0 + 46*r**3 to b*r + f*r**2 + j + t*r**3 and give t.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-439 - 239 + 151*w + 151*w - 300*w)*(0*w**3 - 10*w**3 + 0*w**3).\nAnswer: -20*w**4 + 6780*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -0.021 (b) -0.5 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 94 and 64560610?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 258?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -38*p**2 + 71*p**2 - 34*p**2 + 61*p**3 - 93 wrt p.\nAnswer: 183*p**2 - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 284 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2432, -11, 76, -5 in ascending order.\nAnswer: -2432, -11, -5, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from beepi. Give prob of picking 1 b, 1 i, and 1 e.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 28, -0.01, -5 in decreasing order.\nAnswer: 28, 25, -0.01, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1124, -1095, -1062, -1025, -984, -939?\nAnswer: -890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - 7*v - 2. Let h be t(-5). Let q be 38\/h + 2\/8 - 0. Is q greater than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 39*q**2 - 290*q - 21. Calculate p(7).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -28, -31, -14, 35, 128, 277, 494?\nAnswer: 791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (107*b + 189*b + 72*b)*(-b**2 + 2 - 2).\nAnswer: -368*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.01 (b) 154 (c) 4 (d) -29.1 (e) -1 (f) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**5 + 20*d**4 + 56*d**3 + 8*d**2 - 52*d - 28.\nAnswer: -4*(d - 7)*(d - 1)*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - 2*z. Let d be j(3). Suppose 2*k + 90 = d*k. Suppose 0 = o - 4*x - 45, 3*x + k = 2*o - 2*x. What is the greatest common divisor of 9 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -0.294, -1\/116.\nAnswer: -0.4, -0.294, -1\/116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-800)\/48)\/(8\/(-6)) + -12. Solve -y + p**4 - p**3 - 1\/4*p**5 - 1\/2*p**2 + 5\/4*p = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -41, 1\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2458 and -23.\nAnswer: -56534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -601439, -601419, -601393, -601361, -601323, -601279?\n\"Answer: 3*q**2 + 11*q - 601453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 97773495 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -4*a. Let t(l) = 2. Let x(y) = -y + 11. Suppose 5*i - 154 = -2*i. Let r(z) = i*t(z) - 4*x(z). Determine w(r(u)).\nAnswer: -16*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 28 = 3. Solve 3*i - s = -20 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4087855 to the power of 1\/3, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -5. Let t be (n\/(-15))\/((-2)\/(-6)). Is t*((-33)\/3 - -2) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-99)\/90)\/(1\/(-5))*39\/((-702)\/12)?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 129 and 86?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((5\/5)\/(-48))\/((1640\/32)\/41)?\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*v + 10*v - 16. Let i(u) = -u**2 - 7*u - 7. Let m be i(-3). Sort v, 1, m.\nAnswer: 1, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 8:53 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - 3*f + 5*f + (f + 3*f - 3*f)*(3 - 3 - 2) + 0*f - f + 0*f)*(-14*f + 1 + 75*f + 1).\nAnswer: -122*f**2 - 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c + 4*a - 3*a + 176 + 193 - 279, -2*a + 316 = -10*c for c.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*q + 70496 - 192521 = 0. Let n = 429469\/88 - q. What is the common denominator of -26\/121 and n?\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -1, 509, 0 in descending order.\nAnswer: 509, 1, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -265, -267, -269?\n\"Answer: -2*r - 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccokcogocgocooccck. What is prob of picking 2 g and 2 o?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248*v = -245*v + 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 21*a**2 - 19*a + 25. Let q = -43 - -23. Let n be g(q). Solve 3*t - 9 = n*w, 0*w - 4*w - 22 = 5*t for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111111111111011011 (base 2) to base 11.\nAnswer: 328972","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12162247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-35) - (12 + 732\/(-60)). Which is smaller: m or -0.45?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-1\/4))**(-1\/49))**32 assuming a is positive.\nAnswer: a**(-24\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 244776 and 279?\nAnswer: 734328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1064 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.3, -4.2, -3.9, -0.5 in descending order.\nAnswer: -0.3, -0.5, -2, -3.9, -4.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1685*g**2 + 2815*g wrt g?\nAnswer: -3370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 62 = 18. Suppose 5*g - f + o = 0, -5 = -f - 4. Let v = -5 - g. Is -1 > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) -0.1 (b) 4 (c) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 9*f**2 + 7*f - 2. Calculate the remainder when k(-7) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16277 + 16273 - 17427*h**2 - 32550 as x*h**2 + m + w*h and give x.\nAnswer: -17427","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*t - 12*t**3 - 28*t**2 + 28*t**2 wrt t?\nAnswer: -72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -12, -4, -24, 4.\nAnswer: -24, -12, -5, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 344735699, 344735698, 344735697, 344735696, 344735695, 344735694?\nAnswer: 344735693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 89, 210, 355, 536, 765, 1054, 1415, 1860?\n\"Answer: 2*w**3 + 107*w - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + p. Let h = 0 - 10. Let c = -23 + 21. Let g(j) = 7*j**2 - 5*j. Give c*g(v) + h*l(v).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of v**7\/420 + v**6\/180 - v**5\/120 + v**4\/12 + 5*v**3\/2 - 14*v. Let t(k) be the second derivative of w(k). What is t(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of -v**7\/105 + 17*v**6\/60 - 31*v**5\/30 + 5*v**4\/4 + 256*v**2 - v. Let o(c) = 0. Calculate c.\nAnswer: 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2895, -12130, -27525, -49080?\nAnswer: -76795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3075 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/9*1)\/(2\/(-618)). Let g = p + -73. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 179917679 to the power of 1\/3, to the nearest integer?\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 - 11*q**2 + 145*q + 88. List the prime factors of l(-34).\nAnswer: 2, 83, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 2 + -3 + -72 + 81?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2222 - -4?\nAnswer: -2214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10 is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + -21?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/11528, 3\/5, 2, 2\/5, 1?\nAnswer: 1\/11528","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 6*h**3 + h**2 - h - 1. Suppose -10*m + 7*m = 3. Give c(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 3*b**2 - 2*b - 4. Let h = -164 - -162. Let j(s) = s**3 - 2*s + 1. Let y be j(h). Determine v(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52932, 52937, 52952, 52983, 53036, 53117?\nAnswer: 53232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25)\/(-16))\/(23*(-73)\/20148)?\nAnswer: -75\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2007754?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 698 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (3*sqrt(15))\/sqrt(5).\nAnswer: 1 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 784145 or 784142?\nAnswer: 784142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 244.00824 months in decades?\nAnswer: 2.033402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21308.\nAnswer: 2, 7, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 11:42 AM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1)*b*b\/(b*b**(-7))*(b*b**(2\/9)*b*b)**34*(b\/(b*b*b**(2\/9)))\/(b*(b**6*b*b*b)\/b)*(b\/(b*(b\/b**(-1))\/b*b))**(1\/17) assuming b is positive.\nAnswer: b**(5417\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 596?\nAnswer: 1788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of 160*v**5 + 1257*v + 1508. Differentiate a(d) wrt d.\nAnswer: 3200*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1823, 4402, 6981, 9560?\n\"Answer: 2579*l - 756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 19*j**2 + 43*j + 28. Let w be u(-21). Let o be 4\/w*147\/126. Let y = 1 - 1. Which is the nearest to 1\/5? (a) o (b) -1\/4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 228.3063 meters in micrometers?\nAnswer: 228306300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3463250*g**4 - g**2 + 486*g - 563 wrt g.\nAnswer: -83118000*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1734453?\nAnswer: 3, 7, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 12*p - 4. Suppose 3*v - 17 = -2*l - 3*l, 4*l - 3*v + 8 = 0. Let z be i(l). Solve 3*j = z + 1 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 5*h - 1937, 0 = 2*h + 35*j - 37*j - 774. Calculate the remainder when h is divided by 383.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -34*a + 31. Let k be j(-4). Round k to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -596988917 - -944.\nAnswer: -596987973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1233 - 1223. Let a(g) = g**2 + 5*g - 4. Let r be a(-5). Let y = r + 6. Solve y*f - 2 = 2*z + 2, -f - d = 5*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = v, -3*c = -2*v + 19 - 4 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, 9\/5, 4\/9?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66, -64, -62, -60, -58, -56?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*q + 16. Let m(s) = 6*s**2 + 2*s + 5. Let j(r) = r**2 + r + 1. Let c(y) = -4*j(y) + m(y). What is c(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -311 - -1?\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19 and 1368.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3627.2 - -3510330486?\nAnswer: 3510334113.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 91 = 8*s. Let m = s + 224. Is 35 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13240*d + 3504 = -13407*d - 9021 for d.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7 + ((-2)\/17 - (5575\/(-425) - -15)). Solve -4*j + 5*p - 24 = 0, -q*j + 3*p - 16 = 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3530, 9164, 18542, 31664?\nAnswer: 48530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 23303 - 225533?\nAnswer: -202230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0 + 0 - -4 - -2.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from gggggugguggggguguggu.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -4 + ((-552)\/(-165) + -6 - 12\/22)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15086 = -11*v + 18213 + 60971. What are the prime factors of v?\nAnswer: 2, 5, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + 32 - 14*t - 59.\nAnswer: -14*t - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6\/25 of a microgram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18165.989637 + -18166. What is w rounded to three dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-9))**(-1\/20) assuming i is positive.\nAnswer: i**(9\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.2 + -1.7. Let x = -0.9 - c. Let i = -5.11 + 0.11. Put -4\/9, x, i in increasing order.\nAnswer: i, -4\/9, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**6\/h**(-2\/21))\/(((h\/h**(-2\/5))\/h)\/h**(3\/2)))\/((h**(-4)*h*h\/(h**(-3\/8)\/h)*h)\/(h**(-2\/11)*h*h*h*h*h**(5\/2)*h*h)) assuming h is positive.\nAnswer: h**(139879\/9240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uukuukuuuuu. What is prob of picking 2 u and 2 k?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 150744, 151554, 152366, 153180?\n\"Answer: z**2 + 807*z + 149936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 275 divided by -8088.\nAnswer: -275\/8088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -122408 and -1.57.\nAnswer: 192180.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -16*l**5\/5 + 9*l**2 - 9. What is the second derivative of i(p) wrt p?\nAnswer: -192*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.09*-3\nAnswer: -0.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**7\/((j*j**(-5\/2)*j*j)\/j) assuming j is positive.\nAnswer: j**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208)*-3*-4)\/(sqrt(144) + sqrt(100) + 1*sqrt(100)))**2.\nAnswer: 117\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1222300032212 + -11?\nAnswer: -1222300032223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 331 - 120302?\nAnswer: -115531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 AM and 5:48 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -10461570*t. Let v(k) = 2*k**2. Determine z(v(w)).\nAnswer: -20923140*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1425, -1424, -1423, -1422, -1421?\n\"Answer: f - 1426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/225 and -7\/47850.\nAnswer: 143550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**3)**3 assuming j is positive.\nAnswer: j**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + 1.1525\nAnswer: 1.2525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 64 + -68. Is (7\/2 + u)*-2246 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4a93 + -3?\nAnswer: 4a90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5580?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11\/3 - 3. What is the second smallest value in 1\/6, u, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 306900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.82 - -4.82. What is the smallest value in -5, z, 5, 1, -1\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 4:20 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*p + 1559 - 16 = -337 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3)*1 + -2 - -2*sqrt(27))**2 + 1)*-4 + ((sqrt(264) - sqrt(264)*1)\/sqrt(8))\/(-2*sqrt(704)).\nAnswer: -608 + 112*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/13473489 and -2\/51.\nAnswer: 229049313","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39263 and 18886?\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -200121?\nAnswer: -200113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*(-90)\/(-100))\/(24\/40).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1816157873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -169 by -643.\nAnswer: 169\/643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 14, 41, 86, 155?\nAnswer: 254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -6\/7 (b) -5 (c) -0.5 (d) 0 (e) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tiitiiit. Give prob of picking 2 i.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 11581.21 to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 4*d + 3*d)*(1048 + 57*d - 1048)*(-4*d + 3*d + 2*d) - 36*d - 28*d**3 + 36*d.\nAnswer: 29*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/(-10))\/(10\/(-50)). Suppose -u - 140 = -5*p + u, 0 = t*p - 4*u - 100. Is p a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 4:11 AM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -3. Suppose 7*y - 27 = m*y. Is 3 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 156 - 106. Let o be 510\/9*(-2 + g\/4). Suppose -3*u - 4*h = -o, -3*h - 7 + 1 = 0. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*f**4 - 6 + 691*f**2 - 51*f + 51*f - 693*f**2 - 8*f**3 to the form d*f**2 + y*f**3 + s*f + t + m*f**4 and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p + 4 + 5*p - 2 + 2. Let n be j(3). Let u = n - 4. Does 7 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -79, -75, -71?\n\"Answer: 4*m - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 26*n**2 - 125*n + 29. List the prime factors of m(14).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**2 + 3*d**2 + 50*d**3 - 3*d**2.\nAnswer: 50*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 3 = 54*p - 58*p, 3*p + 10*z = -56 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 y when three letters picked without replacement from {y: 2, a: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8545 at least 8564?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 1219\/2 (c) -0.22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one sixth of a day?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-1)*51\/1326*-26. Which is the nearest to -0.2? (a) -0.3 (b) -12.23 (c) z (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a**3 + 21*a**2 - 2*a - 14. Calculate w(-6).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -11\/114?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 6*d + 11. Let w be u(-8). Let s = 1 - w. Solve s*f = 3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -4*s. Let z(f) = -84*f - 3. Give 3*n(i) - z(i).\nAnswer: 72*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 153, 1161, 3833, 8979, 17409, 29933, 47361, 70503?\nAnswer: 100169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.96 + 0.56. Let m = 11 + y. Round m to zero decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, y: 15}. What is prob of sequence yccc?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*h**2 - 7*h**2 - 12*h**2 - 8*h**2 + 49*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -32, -59, -110, -191, -308, -467, -674, -935?\n\"Answer: -o**3 - 6*o**2 - 2*o - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3 + 8 + 3*i**3 + i - 4*i**3. Let s(f) = 114*f + 964. Calculate the remainder when s(-8) is divided by k(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-152)\/36 - 4\/(-18). Let m = -3 - j. Let i(a) = 10*a**3 + 2*a**2 - 1. Determine i(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(95) + sqrt(95)*1)*-4 - (5*(sqrt(95) + 2*sqrt(95)) - sqrt(95)))\/(sqrt(605) + -5*sqrt(605)*-3).\nAnswer: 3*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (33 - 2*a + 89 - 56)*(-2*a**2 + a**3 + 2*a**2) as c*a + j + v*a**2 + x*a**3 + q*a**4 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -26*u**3 + 1636*u**2 + 138*u - 794. Determine a(63).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 87, 229, 423, 669, 967, 1317?\n\"Answer: 26*o**2 + 64*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4946 and -4.\nAnswer: -19784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.7 (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 35*i - 75*i. Let l(x) = x**2 - x + 1. Let d(b) = -28*b**2 + 3*b - 2. Give i*d(z) - 3*l(z).\nAnswer: 25*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/255 and 1\/136?\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-3*sqrt(252).\nAnswer: -108*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8433 from 0.4.\nAnswer: -8432.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-126)\/10 + 34\/(-85). Let d(m) = m**2 + 14*m + 8. What is d(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11107 + -9679. Calculate the least common multiple of k and 34.\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/3672 and -62\/3?\nAnswer: 3672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3 + (1 + sqrt(242) + -1)*1 + -1 + (sqrt(242) - (-1 + sqrt(242))) + -5)**2*-1.\nAnswer: -44*sqrt(2) + 246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1278 - 277 = -91*g for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 - -95. What is the highest common divisor of 15 and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1140*a - 5673 = 3447 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48569, -97178, -145829, -194522, -243257, -292034?\nAnswer: -340853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -100*q + 90*q + 40. What is the third derivative of -15*m**2 - 2*m**q - 108*m**2 + 20*m**3 + 4*m**2 + 9*m**3 wrt m?\nAnswer: -48*m + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - r + 5. Let s be p(4). Calculate the remainder when 6 is divided by 5\/(s\/6)*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 72*c - 144*c + 71*c. Let f(o) = 4*o + 1. What is -2*f(y) - 7*z(y)?\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219*h = -212*h - 19677. Calculate the remainder when h is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9230*c**3 + 4601*c**3 - 362 + 362 + 4608*c**3.\nAnswer: -21*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 53545 (base 6) to base 5\nAnswer: 213322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u + 12. Let t be k(-3). Let l be 2 + -2 + 3\/3. Suppose t*v - 2*h + 2 = l, -14 = -4*v - 5*h. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6178129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -333523693.589 - -330059862.5890025. Let o = a + 3463836. Let u = -5 + o. What is u rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 598123427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.795659 rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19260 + 16.\nAnswer: 19276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of -1\/12*w**3 + 1\/40*w**5 + 0*w**4 + 0*w**2 + 0 - 3*w. Find l such that j(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12 and 38.\nAnswer: -456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*-1*(-5)\/(-75)*5. Let h be ((o - 0) + 0)*0\/(-1). Sort -3, h, 0.1, -0.5 in ascending order.\nAnswer: -3, -0.5, h, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2713, 5476, 8279, 11116, 13981, 16868, 19771, 22684?\nAnswer: 25601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2)*v*v*v**(2\/5) assuming v is positive.\nAnswer: v**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from fff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*j**4 - 148*j**3 + 152*j**2 - 32*j.\nAnswer: 4*j*(j - 4)*(j - 1)*(7*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 191\/1260 and -101\/80.\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 5*u + 17, -4*g + 6*g + 3 = u. Is (19 + 0)\/(g\/(-20)) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-36)\/315*-20 + 2\/(-7). Solve -3*j + c*s = 1, -4*j - 2*s + s = 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 1083432?\nAnswer: 1083432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(42\/(-24)))\/(1\/(-1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 32721 (base 8) in base 16?\nAnswer: 35d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*1*sqrt(228))\/(3*sqrt(1452)))**2.\nAnswer: 76\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123*z - 3553 - 2123 + 759 = 2217 for z.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3360901ml to litres.\nAnswer: 0.0003360901","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 1 - 1)*(-223*f**2 - 364*f**2 + 81*f**2).\nAnswer: 1012*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 709, 1422, 2127, 2824, 3513?\nAnswer: 4194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3 = -5. Which is bigger: 3 or g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.94 and 5.\nAnswer: -9.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.99 take away -12326399?\nAnswer: 12326365.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/26 - (-684744)\/532948 - 2.\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 8*n + 19 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, d: 1, b: 3, n: 2, o: 2, l: 6}. What is prob of sequence ncc?\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 29*d**2. Let r(n) = 2825*n**2 - 5656*n**2 + 2871*n**2. Give w(r(c)).\nAnswer: 46400*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 y, and 1 a when three letters picked without replacement from {z: 1, m: 1, a: 2, g: 5, y: 1, t: 3}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13118473?\nAnswer: 59, 222347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10 or 8218\/783?\nAnswer: 8218\/783","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 8, -1, -3 in descending order.\nAnswer: 8, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1 + sqrt(63)))**2 - (sqrt(700) - (sqrt(700) + 0 + 5 - sqrt(700)) - sqrt(700))**2.\nAnswer: -150*sqrt(7) + 1575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 218246 - -412?\nAnswer: 218658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (26\/(-91))\/(2 + 30\/(-14)). Suppose k*y + 5*o = 1932, y - 2*o + 4*o = 966. List the prime factors of y.\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07744 rounded to 3 dps?\nAnswer: -0.077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 511 in -5, -3\/7, -0.5, -1\/6, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9310e (base 16) to base 10.\nAnswer: 602382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 - 2*n)*(37*n**4 + 32*n**4 - 26*n**4).\nAnswer: -86*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tuut when four letters picked without replacement from ntnssuennuet?\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.05 + -0.02. Let n = -2.03 + c. Which is bigger: -1\/4 or n?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 8*f**2 + 11*f - 29. What is c(9)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*h**4 + 3813*h**3 - 116271*h**2 - 1341225*h + 303750 = 0.\nAnswer: -9, 2\/9, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 555253670.\nAnswer: 2, 5, 55525367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, 66, -1.\nAnswer: -1, 1, 2, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 9:45 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by -119.\nAnswer: 10\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i - 11. Let z be p(14). Let s be z\/(0 + 15*4\/(-8)). Which is smaller: -0.7 or s?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15468 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**3 - 93*k**2 + 435*k + 525 = 0. What is k?\nAnswer: -35, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(114)\/(sqrt(12)\/(sqrt(14)\/sqrt(7))).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17985 divided by 3597.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(3\/2)*q\/(q\/q**(-2\/5))*q*q\/(q*q**5)*q*q**1\/q assuming q is positive.\nAnswer: q**(-19\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -29*c**2 - 16 - 27*c**2 - 2*c - c**3 + 48*c**2. Let t be a(-8). Suppose w + 410 = 4*o + 108, t = -o - w + 78. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gn when two letters picked without replacement from xnnnnnxnxgnxnxngnnn?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32687 + 32669. Let t(c) = -6*c - 125. Determine t(h).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31 divided by 8\nAnswer: 31\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, g: 2, v: 4, y: 3, x: 4}. What is prob of picking 1 x and 2 v?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -45*p + 1675. Determine b(37).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 3*t - 2. Let j = 48 - 12. Suppose 3*y = 12*y - j. Let w(o) = 10*o - 7. Calculate y*w(v) - 14*a(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v - 2*v - 4*v + v. Let r(n) = -18*n. Give h(r(q)).\nAnswer: 18*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000495367 rounded to 7 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -732*c + 70. Let u(x) = -1464*x + 129. Calculate 11*q(g) - 6*u(g).\nAnswer: 732*g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 227803 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 + 228 = 2*i + 7*m, 5*m = 3*i - 495. Solve -i*y + 36 = -174*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 6 = -f. What is the units digit of -2 - (f - 6\/2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.101425ms in minutes?\nAnswer: 0.00043502375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/80928 and -17\/1080.\nAnswer: 1213920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11726 is divided by 1469?\nAnswer: 1443","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 4*t - 3. Let z(u) be the third derivative of -u**5\/60 + u**3\/3 - 3*u**2. Let v be z(0). Let o = v + 0. Let l(h) = 5*h - 4. Give o*l(i) - 3*m(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3102, 3104, 3106, 3108, 3110?\n\"Answer: 2*s + 3100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-5) + (-11)\/(-5) + -2. Which is the fourth biggest value? (a) 25 (b) 0.4 (c) w (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*r = -127*r + 1170. Is 26 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2638 - -2617. Suppose 2*l + 2*u = -3*u - 11, 2*l - 2*u = 10. Which is the biggest value? (a) k (b) 4\/3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = h + 1. Suppose -8 + 16 = h*j. Solve 0 = 2*t, -i = 2*t + t + j for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*a**4 + 943*a**2 + 19*a - 45*a - 3*a**6 - 157*a**6 + 26*a wrt a.\nAnswer: -19200*a**3 + 168*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*i**2 + 41*i**2 + 1 + 3*i**3 + 18*i**2 in the form o*i**2 + b + z*i**3 + n*i and give o.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111576 is divided by 70?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 5*n + 4*w, 3*w + 50 = -n + 6*n. Suppose -3*a = 2*a - n. Let d(y) = -a*y**3 + y + 8*y**2 + 2*y**2 - 12*y**2. Calculate d(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20185 = 18*n + 20509 for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 - -10.5. Let o = f - -3. Let z = -7 - -11. Which is the smallest value? (a) z (b) -0.2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(55)\/(sqrt(10)\/sqrt(2)))*1.\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*l - 22*l + 67*l + 3992 = 56*m + 25*l, m - 2*l - 63 = 0 for m.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.673129 millimeters in nanometers?\nAnswer: 5673129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3*k - 158 = 7*k, -4*g = 2*k - 366. Let m = -51 + g. Suppose 2*y = 4*y - m. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12.6 + 12.59999635. What is i rounded to seven dps?\nAnswer: -0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4232, -16659, -37400, -66461, -103848, -149567, -203624?\n\"Answer: -t**3 - 4151*t**2 + 33*t - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25374835 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5553361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -46345 divided by 9269\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 408343 to the power of 1\/2, to the nearest integer?\nAnswer: 639","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -288\/7 - 2*w**2 - 1012\/7*w = 0. Calculate w.\nAnswer: -72, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 55\/4 of a hour?\nAnswer: 49500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13121000 (base 4) to base 8.\nAnswer: 73100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 19*p - 67*p + p + 4*p.\nAnswer: -81*p - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265 is divided by 26.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/16*4)\/(1*-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80725.28 centimeters in meters?\nAnswer: 807.2528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 + 38\/9 - 1. Which is smaller: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40 + 34. Let c = -5 - p. What is the nearest to c in -2, -7, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 259686 and 6?\nAnswer: 259686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 335190, 671623, 1008056, 1344489?\n\"Answer: 336433*m - 1243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 23 + 53. Let f = -14 + b. What is the remainder when f is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven fifths of a millennium in years?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 7*g**2\/5 + 22*g - 32\/5 = 0.\nAnswer: -16, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.7 or 266?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.5145 + -0.1145. What is the nearest to 2\/5 in 5\/17, -0.3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.33377m in kilometers?\nAnswer: 0.04533377","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3 = t, -4*t + t = 5*f - 59. Suppose 3*r + 3*b = 6*b + 48, r - 2*b = 21. Let x = r - t. What is x rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from asagagsgssgssags. Give prob of sequence as.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1376297 to the power of 1\/4, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -86 divided by 4914\nAnswer: -43\/2457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 3*w = i - 6, -i - 6 = 4*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63568?\nAnswer: 2, 29, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 36882 divided by 6?\nAnswer: 6147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-235*u - 193*u - 116*u)*(2*u**2 - 5*u**2 + 5*u**2)*(2 - 2 + 3*u**2).\nAnswer: -3264*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*p + 17*p + 42*p + 13*p**2 + 65 - 217 - p**2.\nAnswer: 12*p**2 - 2*p - 152","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32022869?\nAnswer: 191, 389, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/((-880)\/(-429)) + -5.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -257 + 1796\/7. Let j = 1\/4 + 0. What is the closest to 0 in z, -0.1, j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m + 132*m + 15*m - 322 = 0. Let w(v) be the second derivative of -3\/80*v**5 - 1\/4*v**4 - 2*v + 0 + 0*v**3 + 0*v**m. Factor w(o).\nAnswer: -3*o**2*(o + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.107 + 44.107. Let g = c - 44.0000021. What is g rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32535*a**4 - 177547.\nAnswer: -130140*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 4)*((2 + 0 - 4)*(-a - a + 4*a) + 0*a + a + 2*a - 152 + 152 - 587*a + 2*a - 4*a + 0*a) to the form d + p*a and give p.\nAnswer: -2360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0508 in 1\/4, -0.2, 0, 2\/3, 12, 57?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 4*o**2. Let p(l) = 4*l - 16. Determine p(i(y)).\nAnswer: 16*y**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 155*l. Let p(i) = -2*i**2 + 131*i - 2. Give p(c(g)).\nAnswer: -48050*g**2 + 20305*g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 287168 - 34462433\/120. Let t = j + 112\/5. Let b = 22910\/9 + -183691\/72. Find the common denominator of t and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162789843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 531282201 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 9:46 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of 13*h**2 - 12. Let r(b) = 2*b - b - 10*b. Let a(k) = -5*l(k) - 14*r(k). Let g(n) = -2*n. Calculate a(g(o)).\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.63 and 1.1?\nAnswer: 1.793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7*-38372981.\nAnswer: 26861086.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4*a - 16 - 18 = 0, u - 29 = -5*a. Calculate the remainder when u is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -74*q + 26*q - 144 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (-4 - -53)\/(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1371320*f**3 + 3428290*f**2 + 2056955*f - 15 = 0.\nAnswer: -3\/2, -1, 1\/137132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + 2*r + 234. What is the least common multiple of 12 and v(16)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 8, d: 2, z: 2}. What is prob of picking 3 u and 1 z?\nAnswer: 112\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27964.\nAnswer: 2, 6991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20240*p - 2700 = -20260*p. Calculate the least common multiple of (-5 - 19)*(-3)\/2 and p.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*u = 119*u - 60. Suppose -124 - 38 = -u*c. What is the greatest common divisor of 27 and c?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -5, 2, 0.5 in decreasing order.\nAnswer: 2, 0.5, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2767319 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 9*j + 3. Determine z(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1, -3, -7, -11, -15?\n\"Answer: -4*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 761722*h**3 + 845890.\nAnswer: 2285166*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-192)\/9)\/((-2)\/9). Let b = -100 + m. Let x = 0 + 0. What is the third biggest value in b, -0.8, x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -252*f - 157*f = -325*f + 3612 for f.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9746263 divided by 3.\nAnswer: -9746263\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1066511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5342411 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 3.66, 2, 2\/341, 0.5?\nAnswer: 2\/341","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - -38)\/(-69) + (8\/6 - 0)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 733 divide 360636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f - 11. What is v(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 3*n - 27, 3 = 3*v + 2*n + 2. Let h = -1 - v. Suppose -5*q + 2*q + 42 = 0. Solve 4*f = -h + q for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1485 is divided by 502.\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 10*y**2 - 2*y + 7. Let d be z(-11). List the prime factors of 21920\/d - 2\/15.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165 = -i - 4*z + 34, 16 = 4*z. Is i a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/22, -37, -3, -12, -3\/2?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18599 - 8053. List the prime factors of j.\nAnswer: 2, 5273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + -142.\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1990506068?\nAnswer: 2, 497626517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 534?\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 0.3, -2\/3, -1 in decreasing order.\nAnswer: 0.5, 0.3, -2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 765097?\nAnswer: 765097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 19777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -750*p = -729*p - 189 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2834839 is divided by 944934?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 354 is divided by (855\/12)\/19*4\/(-8)*-16.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**3*s)**(-3\/7) assuming s is positive.\nAnswer: s**(-12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -7. Sort -4, t, -2.\nAnswer: -4, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 407 + -405. What is the lowest common multiple of g and ((-10)\/4 + -2)*-2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7, s: 3}. What is prob of picking 4 p?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 2:27 PM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (328968\/(-56))\/(-9) + (-2)\/(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*2*3*(sqrt(252) + -4 + (sqrt(252) - (3*sqrt(252))**2))*-1*-2.\nAnswer: -576*sqrt(7) + 109056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**2\/4 - 270*r - 24300 = 0 for r.\nAnswer: -180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20.92*2.21.\nAnswer: 46.2332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0.5 (b) -19647 (c) 34\/7 (d) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.109 + 20.11426.\nAnswer: 20.22326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*p + 2*t = -7*p - 35, -4*p = 12*t + 40 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 4 (b) 2\/97 (c) -117\/2 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -137\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -10*q + 16. Let t(o) = -221*o + 351. Let i(d) = -3*t(d) + 65*x(d). What is the tens digit of i(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 5:40 PM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4868916 and 598?\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -10*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -5, -1 in descending order.\nAnswer: 5, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/5, -1\/8, 129, -0.2314, -1\/6?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2187 divided by 243?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-59295*r**2 - 1161*r + 29650*r**2 + 29647*r**2)*(-2*r + 4 - 6 + r) to the form h + l*r**3 + f*r + o*r**2 and give f.\nAnswer: 2322","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1769.\nAnswer: 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9082297 years to centuries.\nAnswer: 0.009082297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1255 is divided by 516.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + 4*z + z)*((3 - 1 + 3)*(-3 - 4 + 4) + 1 + 3 - 3).\nAnswer: -14*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w. Let x(v) = 15*v**2 + 8. Let t(d) = -16*d**2 - 6. Let l(o) = 4*t(o) + 3*x(o). Give y(l(r)).\nAnswer: 38*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o*o**26*o)**(3\/8))**(-36))**(-49) assuming o is positive.\nAnswer: o**(38367\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 1:38 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -bc66a5 + 5?\nAnswer: -bc66a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -457.7 + 482. Let v = y - 24.1. What is the smallest value in v, -2\/19, -1\/5, 0.4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 427 divide 1339499?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 1. Suppose m = -4*w + 5*d + 12, d = 5*d. Calculate the lowest common multiple of (w - (-1 + 2))*5 and 7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 134 = 2*s + 22, 5*a = -s + 32. Suppose 155 = 5*i + 4*m, -4*i + 8*i - 113 = -m. Let d = s - i. What is the remainder when d is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.138 - -0.038. Let j = 3 - 3.1. Let w = -214 - -1501\/7. What is the nearest to j in n, w, 1\/2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -415, -408, -397, -382?\n\"Answer: 2*b**2 + b - 418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f - 4304 = -4349. Solve -f*r + 139 = 119 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h + 3 - 1 + h)*(93875*h - 44128 + 14721 + 14704 + 14703) as p*h + k*h**2 + l and give p.\nAnswer: 187750","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of k**7\/2520 - k**6\/120 + 3*k**5\/40 - 2*k**4\/3 - 5*k. Let d(y) be the third derivative of o(y). Suppose d(l) = 0. Calculate l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678361 to the power of 1\/2, to the nearest integer?\nAnswer: 824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 19 divided by -25870\nAnswer: -19\/25870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/2 - (-59106)\/(-3718). Let b = l - -164\/11. Let r = 5531 + -5530. Which is bigger: r or b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -27*p + 432. Let n be q(16). Put -4, n, -413 in descending order.\nAnswer: n, -4, -413","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 44405 + -33029. Calculate the greatest common divisor of b and 576.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -171*a - 160 + 912 + 926 + 545 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1279 > 19\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*b + 71*b - 48*b - 119848 = 0. Calculate the least common multiple of 36 and b.\nAnswer: 7596","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*f + 3*g = -28*f - 12, 2*f - g - 8 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0849366 nanograms in tonnes?\nAnswer: 0.0000000000000000849366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 493 is divided by 62?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-8) + 1214\/104. Let g = y - 761\/78. Calculate the common denominator of (851\/(-2220))\/((-3)\/(-14)) and g.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 24\/245 and (7\/(84\/(-16)))\/((-17)\/(7344\/1575)).\nAnswer: 1225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105163 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7506, -0.08, 2?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y**2 + 21 - 8*y**4 + 9*y**4 + 5*y**2 + (-3 + 4 - 2)*(-4*y**4 + 4*y**4 + 2*y**4) to the form u + z*y**2 + v*y**3 + w*y**4 + q*y and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -119 + 97. What are the prime factors of (-4044)\/(-22) + ((-48)\/d - 2)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*v**2 - 37 + 33 - 68*v**2 - 55*v**2 in the form p*v + u*v**2 + c and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 8*f**2 + 10*f - 1. Let c be s(7). Let q = 37 - c. Calculate the greatest common divisor of q and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 - 4*k**2 + 3*k**2)*(3 - k - 3) + 2*k**3 - 4*k**2 + 4*k**2 - 3*k**2 - k**3 + 3*k**2 + (-3*k + 3*k**2 - 4*k**2 + 4*k)*(5*k + 2*k - 3*k).\nAnswer: -k**3 + 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29187 - 20797. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 greater than or equal to -722\/407?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 2048, -12, 12 in decreasing order.\nAnswer: 2048, 12, 3, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4104.515 litres to millilitres.\nAnswer: 4104515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -11*c + 15. Let v be f(5). Let d = v + 40. Suppose d = 2*s - 7*s + 155. Solve 5 + 4 = 5*a - 4*u, 3*a + 4*u = s for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12833 times -1?\nAnswer: 12833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-34)\/(-85))\/((-24)\/10)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110 (base 3) in base 4?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 47 + i**3 - 23 - 18 - 18 + 12*i + i**2 - 13*i**2. Calculate w(11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 - 3\/(12\/(-8)) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 284174261?\nAnswer: 7, 17, 2388019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (8 + -2 + -3) - -6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 174009 (b) 2 (c) 4 (d) 3 (e) -14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*g + 217709 = 21*g. What is g rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-10)\/8 + 2)*(-232)\/(-87) - -35631 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12422065?\nAnswer: 5, 277, 8969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is ba + 12145?\nAnswer: 12232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15868181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 3*i**2 + 5*i - 2. Calculate m(3).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r + 3 = -3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 112, 110, 108?\n\"Answer: -2*z + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 14012 divide 3744833108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*r - 3 + 3 + 36*r.\nAnswer: 61*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-17 - -1)*(-2)\/4. Suppose -c - 4 = -4*w. Put w, -1, 5 in decreasing order.\nAnswer: 5, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -169436, -169434, -169432, -169430, -169428, -169426?\nAnswer: -169424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/(-14))\/(2\/(-7)). Put -1, 0, d in decreasing order.\nAnswer: d, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 64\/5 of a litre?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -8 - (-1 + 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/10)\/((-9)\/30). Let a(k) = k**2 - 2*k - 4. Let i be a(j). Solve i = q - 5*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10962336001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.97 + -6. Let x = q - -0.13. Which is smaller: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43196984113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5 + 4*(sqrt(275) + sqrt(275)*-2)) - (5 + ((1*sqrt(77) - sqrt(77)) + sqrt(77) - sqrt(77))\/sqrt(7)*5 + 0)**2.\nAnswer: -45 + 80*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -1785.9063\nAnswer: -535.77189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + (-3)\/2 + 3. Which is bigger: b or 1\/6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 2. Let h = 73 - 68. Let f be (-5 - 0) + h + -3. Sort u, f, 4 in decreasing order.\nAnswer: 4, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1794387953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.11 and 6.\nAnswer: 0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-2) - 7\/7. Suppose 4 + o = 3*d. Solve -4*w = -d*c + 16, c - 5*w = 4*c + 9 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6942 by 3.\nAnswer: -2314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*q**6 + 979*q**4*z - 41*q**2*z + 19*q**2 wrt q.\nAnswer: 240*q**3 + 23496*q*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1984 - 1981. Solve -d*l + 59 - 65 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/176 - (-89)\/22. Let x(k) be the first derivative of 0*k**3 + 7*k**2 + 0*k - 7\/2*k**q + 14. Find the second derivative of x(b) wrt b.\nAnswer: -84*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.51 - -0.01. Let g = y - 0.5. Let m = -0.1 + 0. What is the closest to m in -1, g, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-156))\/(24\/(-32)*2)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2 - 264*a + 1440.\nAnswer: 4*(a - 60)*(a - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 591a47 (base 11) to base 10\nAnswer: 939616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2264, -2252, -2242, -2234, -2228?\n\"Answer: -t**2 + 15*t - 2278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 669 a factor of 517408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 840972?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*m + 6*m - 155*m + 9805 = 0 for m.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 442486699 divided by -1?\nAnswer: -442486699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -4. Let u be (-12 - a)*2\/(-3). Let w = u - 13. Let h(x) = -7*x**3 + 5*x**2 - 5*x. Let o(z) = -10*z**3 + 7*z**2 - 7*z. Calculate w*h(b) + 5*o(b).\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30*q**5 - 6*q**5 - 3*q**5 + (-3*q**3 + q**3 + 0*q**3)*(-5*q + 2*q**2 + 5*q).\nAnswer: -43*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 3*f = 0. Suppose f = z + 2*q + 6, -2*z = 2*z - 5*q - 28. Suppose -36*r + 1440 = 25*r + 11*r. What is the remainder when r is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(12)*-1*6*-4)**2.\nAnswer: 27648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (309 + -328 - (-6 - (4 + 0))) + (0 - 47)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 372650 divided by -74530.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -73, 17\/5, -34, 0?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 y when two letters picked without replacement from {t: 3, s: 2, m: 4, r: 1, y: 4}?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/10360 and -26\/282865.\nAnswer: 15840440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34.72054ng to kilograms.\nAnswer: 0.00000000003472054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l + 3*y + 4, -2079 = -l - 3*y - 2078 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 5*x + 336. Let m(p) = 13*p - 155. Let v be m(11). Let n be o(v). Is n at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347074861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -3*p - 7, -5*p - 176*b + 11 = -173*b for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -33*l. Let z(f) = 1022*f. Give 63*v(a) + 2*z(a).\nAnswer: -35*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -2. Suppose -15 = -10*b + f*b. Find the first derivative of -1 - b*x**3 - 3 + 5 wrt x.\nAnswer: -15*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uxuuxuttuxyxuucccct. What is prob of sequence tuu?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of 11*b + 1\/3*b**3 + 1\/21*b**7 + b**4 - 3*b**2 - 1\/5*b**6 + 0 - 1\/5*b**5. What is y in c(y) = 0?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u\/u**3)\/u*u**(-6\/11))\/(u**2*u\/u**6))\/((u*u**(2\/5))\/(u**(-3\/5)\/u)*(u\/u**(-2\/7)*u)**27) assuming u is positive.\nAnswer: u**(-4948\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6039 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 293794973?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mameqaahmaaaqq. What is prob of sequence maea?\nAnswer: 15\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2a6 - 1429?\nAnswer: -1713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 1.7. Let k = -0.31 - 2.99. Let p = u - k. Which is the third biggest value? (a) 4 (b) -2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/16878 and -41\/18?\nAnswer: 50634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4 = -v - 16, -4 = -v. Let c = g + 10. Let m be ((-39)\/52)\/(c\/(-8)). Solve -m*p - 20 = -7*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1381859, 5, -1\/3, 2, 0.5.\nAnswer: -1381859, -1\/3, 0.5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/9 - 7*u**2 - 1564*u\/9 - 2656\/3.\nAnswer: (u - 83)*(u + 8)*(u + 12)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.04333nm to kilometers.\nAnswer: 0.00000000001504333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -14232, -29388, -44546, -59706?\n\"Answer: -f**2 - 15153*f + 922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102 - 14*u + 102 + 3137*u.\nAnswer: 3123*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxx. What is prob of sequence xxxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 89037217 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.015? (a) 23 (b) 0.3 (c) 4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -412*d**2 + 136*d**2 - 2*d + 135*d**2 + 101*d**3 + 141*d**2 as o*d**3 + x*d + g*d**2 + z and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12442 - -10223412?\nAnswer: 10241404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-229*c**2 - 2619 + 2619)*(-c - 3*c + c)*(7 - 10 + 23) to the form o*c**3 + i + t*c + y*c**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + b - 2 = -4*b, -5*t - 4*b - 23 = 0. Let l = 6 - t. Suppose 0 = -o - l + 13. Calculate the least common multiple of o and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 323*i**2 + 105*i + 178. What are the prime factors of u(-10)?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 14*m - 19*m + 1685, -1709 = -5*k + 3*m. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2772086 minus -39860442?\nAnswer: 37088356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 368525 + m**2 - 368525.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 139 - c5a?\nAnswer: -b21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 66\/31585?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3382*o - 50726. What is b(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - -3. Let o be ((-54)\/12 + 4)\/((-1)\/s). Solve -4*b + 8 = -y - y, -o*y - 6 = -3*b for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8268 and 37308.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 9:29 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2660 + 9344. What is the hundreds digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*j*q**3 + 3*j*q + 22*j + q**4 + q**2 wrt q.\nAnswer: -150*j*q + 12*q**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.452*798\nAnswer: 360.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(-4\/7))\/(x\/x**(-4\/9))*(x**(-1))**26)**(-45))**(-33) assuming x is positive.\nAnswer: x**(-268950\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 562, 1806, 3050?\nAnswer: 4294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 621, 629, 641, 657, 677, 701?\n\"Answer: 2*w**2 + 2*w + 617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 5*j**4\/2 - 2075*j**3\/2 - 32835*j**2\/2 + 242255*j\/2 + 1998425 = 0.\nAnswer: -13, 11, 430","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 7 - 3, -3*h = 2*m - 10. Solve 0*f + f = m for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 AM and 5:19 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25 and 238475.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - -272*1 - -6. Let u = h + -276. Solve u*a = -a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 101 - 86. Let b be 441\/6 + h\/(-2). Let z = -69 + b. Solve -s - z = 2*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 5*w - 22, 0*w - 4*w = -3*o + 10. Let x(j) = 6*j - 4 + j - 4*j + 2*j. Does 13 divide x(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.8 - 9.2. Let m = r + 12.0000212. Round m to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15161*u + 15155*u + 462 = 0. Solve 147 - u = -10*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3395525160 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 8*f + 80 = 2*p, -3*p + 112 = 5*f. Calculate the remainder when p is divided by -2 - 8*2*-1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 230 + -226. Suppose 5*z - 7 = 2*p, -z = -0*z + 5*p + q. Solve -3*m - z - 8 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91372, -91224, -91072, -90916, -90756?\nAnswer: -90592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-5)\/4)\/((-20)\/24))\/((-3)\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 851757 and 485?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 36 = -9*g, 3*g + 281 = 3*z + 302 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -47 + 19. Put b, -3, 26 in increasing order.\nAnswer: -3, b, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-10) - (-4)\/(-5). Sort h, -4, -0.4 in descending order.\nAnswer: -0.4, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -13*f + 118. Calculate the remainder when 24 is divided by k(8).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 i when four letters picked without replacement from nhtchnzinnnnnhncnin.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -87*d**2*g - 11*d**2 wrt g?\nAnswer: -87*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -18*p + 480. Let g(s) = -1 - 2*s**2 + 0 + 9*s**2. Let y be g(1). What is the greatest common factor of y and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 161*q + 2. Let p be i(-3). Let j = 802 + p. Suppose 5*n - j = -2*k + 239, 5*n + 5*k = 575. Calculate the highest common divisor of 10 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of i**4\/2 - 4*i**3\/3 + 2*i**2 - 4*i - 4. Let m(y) = -7*y + 9 - 7*y + 11*y**2 - 5*y**3 - 2*y**2 + 5*y. What is 4*m(p) + 9*s(p)?\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 364 = 369. Factor -31*p - s*p**2 - 8 + 25*p - 26*p - 57 - 38*p.\nAnswer: -5*(p + 1)*(p + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + t - 141 = -0*t, -3*d = -5*t - 123. Does 6 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 602 is divided by 55.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 862810820?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2519 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 18. Suppose p + 1 - x = -5*i, 0 = -2*i - 2*p. Which is the nearest to i? (a) 5 (b) -1\/8 (c) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 188 and 2248574?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 8 = q, 111 = x - 3*q + 98 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) -3\/5 (b) -2 (c) -117 (d) -115 (e) -74\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1012022330103 (base 4) in base 5?\nAnswer: 14202114044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a century in months?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 299 divided by -422.\nAnswer: -299\/422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 42121 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: Let a(z) = -11*z**2. Let i(m) be the second derivative of m**3\/3 + 3*m. Calculate a(i(c)).\nAnswer: -44*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.656827 rounded to 2 dps?\nAnswer: 89.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/9, -32, -0.37, -4, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -36631000 rounded to the nearest 1000000?\nAnswer: -37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/24 and 59\/66 + (-3)\/(-18).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2981737445 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/10 of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2841215 divided by -43711.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(-405)*(-18)\/(-72)*(-6)\/3.\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1815, -2136, -775, 3108, 10353, 21800, 38289, 60660?\n\"Answer: 140*g**3 + g**2 - 1304*g - 652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, z: 7, y: 3, q: 1}. Give prob of sequence iziq.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 957700 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -5*s - 57, 2*s = 2*k - 37 - 29. What is the remainder when k is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 160*i - 20760. Give h(125).\nAnswer: -760","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 653 = -2431. Let b = 259 - i. Solve b*y - 10*y = 20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o + 5*z + 10, 8*o = 9*o + 2*z + 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3247, 17\/96, -2 in decreasing order.\nAnswer: 17\/96, -2, -3247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -12. Suppose -5*g + 92 = r - 0*r, 0 = w*r - 4. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 11:23 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2310603*n**4 + 36*n**2 - 2*n - 3416 wrt n?\nAnswer: 55454472*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2376c - -5?\nAnswer: 23772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -10 - 15. Calculate the remainder when 49 is divided by s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -137 - -145. Solve -17*f + x = -13*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-1) + (0 - -2). Suppose -22 = -m*z - 4. Let z*k - 3 - 6*k**2 + 2*k**2 + 4*k**2 - 3*k**2 = 0. Calculate k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (40 - (-82 + 120)) + (1 - 20)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*o + 72 = q, -o - q = -36. Suppose 2*w - 10 = -4*m + 18, -4*m - 4*w + o = 0. Put -3, m, 0, -4 in decreasing order.\nAnswer: m, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 26. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h - 3*n, 4*n - 4*n = -5*n + 2*n for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -35826, -71599, -107372, -143145, -178918, -214691?\n\"Answer: -35773*o - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1377288826 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1862)*-2 - sqrt(1862))\/sqrt(2) + -3 - 1*((-2*-1*sqrt(228))\/sqrt(12))**2.\nAnswer: -21*sqrt(19) - 79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 188 + -188. Let z(q) be the second derivative of -6*q + a + 0*q**3 + 0*q**4 + q**2 + 1\/20*q**5. Differentiate z(b) with respect to b.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**5 - 58*y**4 - 600*y**3 - 238*y**2 + 2503*y - 1608 = 0 for y.\nAnswer: -8, -3, 1, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 1769999 = -3*g + 2*g, -z = -g + 590001. What is z rounded to the nearest ten thousand?\nAnswer: -590000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-12)*3\/(84\/16)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.1 + -1.1. Suppose w = -2*b + 10, -4*b = -8*b + 16. What is the closest to p in 0.1, w, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-2 + -20 + 28 - 1).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*x + 4*f, -3*f = -x - 0*x - 4. Solve x*g = -4*a - 4, 4*a + 1 = -2*g + 3*a for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3 + 92527*r**2 - 370136*r - 1110372.\nAnswer: (r - 6)*(r + 2)*(r + 92531)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Factor a**5\/9 + 7*a**4 - 43*a**3\/3 + 65*a**2\/9.\nAnswer: a**2*(a - 1)**2*(a + 65)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 473?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 1 = -13. What is the derivative of 1 - c**2 - b + 3 + 4 wrt c?\nAnswer: -2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -666*d**5 + 8*d**3 + 2*d**2 + 369*d + 11 wrt d?\nAnswer: -13320*d**3 + 48*d + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 6*x**2 + 25*x - 67. Let d be a(8). Let g = 31 + -13. Suppose l + g = 4*l. Solve 0 = t + 3*z + d, -5*z + z = -5*t - l for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -64*f**3 + 21536*f**2 + 32412*f + 12168 = 0. Calculate f.\nAnswer: -3\/4, 338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1450 - 3?\nAnswer: 1446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1084, 1061, 998, 877, 680, 389?\n\"Answer: -3*s**3 - 2*s**2 + 4*s + 1085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 2256491280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -2, -346\/5?\nAnswer: -346\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of -w**6\/120 + w**4\/4 - 7*w**2\/2 - 13. Let c(d) be the second derivative of s(d). What is the second derivative of c(i) wrt i?\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2375903 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 11:38 AM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 240117.75 months to millennia.\nAnswer: 20.0098125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 21 = -3*n - 7, 0 = -n + 3 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 606\/(-630) - 1\/(-5). Let h = -10\/21 - o. Let n = 0 - 0. What is the nearest to 1 in 5\/4, n, h?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 7*r - 219. Let i be h(31). Let t be 27\/(-36) + 21\/12 + i. Let x = -1\/9 - -1\/6. Is t at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6, -9, 4, 39, 102?\n\"Answer: g**3 + 2*g**2 - 16*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(48\/84 + (-128)\/126 - 580\/(-576))?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -28*o**3 - o**2 + 5*o - 3. What is a(1)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -10.8. Let t = -69.7 - -72.7. What is the nearest to d in t, -0.3, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b + 3. Let t be s(-5). Let u be (-3)\/(-6) + 14\/(-4). Let x = t - u. Put -4, x, 4 in descending order.\nAnswer: 4, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -927, -3, -5, 2, -11 in decreasing order.\nAnswer: 4, 3, 2, -3, -5, -11, -927","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 26815.17ms?\nAnswer: 26815170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -9074088.\nAnswer: 18148176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1 + (-3*-5*(sqrt(429)\/sqrt(11) + sqrt(39)))\/(-2*(sqrt(6)*-3)\/sqrt(2)).\nAnswer: 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/3*-3*5\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15942 is divided by 23?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15466676.\nAnswer: 2, 41, 94309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1502823?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 36639708 a multiple of 413?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 161 and 9545.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.372 + 546.628. Let p = s - 553. What is the second smallest value in -1\/10, 4, p?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/30 of a minute?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -182069 + -831200499.\nAnswer: -831382568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 5 + -2 + -2 - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 136\/2*56*(-177)\/(-39648)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2. Let w(m) be the first derivative of m**5\/30 - 63*m**2\/2 - m + 1. Let y(u) be the second derivative of w(u). What is c(y(l))?\nAnswer: 4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 4:12 PM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60) + sqrt(6000)*2 + sqrt(540)\/sqrt(36))\/(sqrt(132)\/(6*sqrt(77)\/sqrt(7))))**2.\nAnswer: 83205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 - 10*x + 33. Let i be o(7). Suppose -4*l = -i*l. Let j be (-2)\/5 - (-36)\/15. Solve l*r - j*r = -8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91426.26mg in tonnes?\nAnswer: 0.00009142626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + j**2 - j. Suppose -h + 3*h + 26 = 0. Let v = h - -13. Determine a(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((14 + -4)*(-420)\/525)\/(7\/14)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/14 + 19\/(10640\/408)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-5*(sqrt(833)*-1 - sqrt(833)) - ((1*sqrt(833) - sqrt(833)) + sqrt(833) + -2))*2 + -3)**2.\nAnswer: -252*sqrt(17) + 269893","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 y when four letters picked without replacement from {y: 2, k: 18}?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 divided by -3727.\nAnswer: -17\/3727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1831*q + 12 = -1828*q. Put 442, -1, -3, q in ascending order.\nAnswer: -3, -1, q, 442","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4075196 and 667489.\nAnswer: 77428724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/1 + (166 - 220)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1575174?\nAnswer: 2, 3, 83, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3 - 68*y**2 + 74*y + 140.\nAnswer: -2*(y - 2)*(y + 1)*(y + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -0.21.\nAnswer: 0.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 11*j**2 + 12*j - 4. Let r be u(12). Let h be (-23)\/(-4) + 3\/r. Solve 15 = h*a - 2*d, -3*a + 0*d = -3*d for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y + 3*u - 93 = 0, 183*u = 3*y + 180*u - 24 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -14*k**2 - k**3 + 8*k + 9*k**2 - 12 + 6*k**2 = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10534619*0.4.\nAnswer: -4213847.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -383*c**2 + 110*c**2 - 269*c**2 in the form w + r*c + g*c**2 and give g.\nAnswer: -542","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 11*i**2 + 14. List the prime factors of q(9).\nAnswer: 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -261\/10 or -25?\nAnswer: -261\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 3:28 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, a: 1, i: 1, c: 2, k: 4, w: 6}. Give prob of picking 1 i, 1 x, and 1 a.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*l = -2*g - 12, -12 = -4*l. Let b(s) = s**2 - s - 2. List the prime factors of b(g).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**2 + 6*f - 131. Determine j(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -100362*t + 100362*t + 1115*t**2 + (1 - t - 1)*(-4 + 2*t + 4).\nAnswer: 1113*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24565\/2*b**2 + 85\/4*b**4 - 1445\/2*b**3 + 417605\/4*b + 7099285\/4 + 5\/4*b**5.\nAnswer: 5*(b - 17)**2*(b + 17)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22600?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -6*u - 21. Let f(p) = 3*p + 11. Let n(x) = 11*f(x) + 6*k(x). Let v(m) = 4*m + 4. Let i(b) = -4*n(b) - 5*v(b). Calculate i(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = -a - 17, -443*m - 3*a + 34 = -448*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 24\/((128\/(-140) + (-38)\/(-665))\/((-9)\/(-21)))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f - 6. Let a(y) = -y**3 + 11*y**2 - y + 5. Let s be a(11). Let v be t(s). Suppose 3*w = v*w - 6. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 22*z + 22. Let d(t) = 8*t + 7. Let v(u) = 14*d(u) - 5*l(u). Let o(c) = 46*c - 266. Let k be o(6). Calculate v(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000014365926 rounded to 6 dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*z - 112 = w, z + 4*w = 46. Let c = z - 31. Suppose 9*o = 682 - c. Is o a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -29580 to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -264 divided by 11?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of q**3\/3 - 11*q**2\/2 - 6*q + 2. Let l be x(12). Does 11 divide (22\/(-1))\/((-6)\/l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20877 (base 9) to base 13.\nAnswer: -63b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -182 + 306. Let m = h + -124.067. Let t = -0.018 - m. What is t rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, 11816 in descending order.\nAnswer: 11816, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 7) to base 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -13*w**2 - 12*w - 1. Let s(y) = -2*y. Calculate c(t) - 5*s(t).\nAnswer: -13*t**2 - 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 5*u - 16, r + 1 = -u + 6. Let t = r - -1. Differentiate -f**2 + t + 17*f - 17*f with respect to f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-11)\/((-154)\/150) + 4\/14. Solve 20 = -3*m + 5*r, f = -11*m + 9*m + r for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g - 162 = -13*g. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*i = 12. Suppose z - i = -0. Let g(k) = k**2 - 5. What are the prime factors of g(z)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -3*f + 4*z, 3*z - 12 + 0 = 0. Suppose -l + 0*l = -f. Solve 5*p = -j + 7 + l, -3*p + 2*j + 10 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 5*k**2 - 27*k + 5. Give h(8).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 284 - 22. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17 + 1?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1035.9376 + -1035. Let s = -1.01 + c. Round s to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 6:06 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 9*z + 8. Let g be (-49)\/63 + 1 + (-112)\/18. Give o(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**5 + 126*a**4 + 3567*a**3 + 9486*a**2 = 0. What is a?\nAnswer: -17, -3, 0, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 118, 243, 460, 775, 1194, 1723?\nAnswer: 2368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/22 and 0 - (-49)\/4 - -1.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/54509687 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6912855.\nAnswer: 3, 5, 149, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -217, -198, -179, -160, -141, -122?\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 3*z = 1, -p + 21 = 2*p + 3*z for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((g\/(g**(-7)\/g))\/g)\/g)\/g)\/((g**(-10)*g)\/g))\/(g**(-3)\/g)**(3\/11) assuming g is positive.\nAnswer: g**(188\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.174? (a) 2 (b) -0.7 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*n**2 - 41*n**2 + 102*n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 82c + -4?\nAnswer: 828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -22*a**2\/9 + 20*a\/3 - 32\/9 = 0. What is a?\nAnswer: 8\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74147 is divided by 3528.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 27 = 2*g. Suppose 14*s - 10 = g*s. Solve -2*p**3 + s*p**3 - 6 - p**3 - 3*p + 4*p**3 + 6*p**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/l**(1\/12)*(((l*(l**(-3\/4)*l)\/l)\/l*l*l)\/l)\/l)\/((l\/((l\/(l\/l**(-1\/2)))\/l)*l)\/l**(3\/2)) assuming l is positive.\nAnswer: l**(-5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8003.\nAnswer: 53, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 23 = -5*l, 2*g + 2*g + 3*l - 24 = 0. Let v be (-26 - -2)*(-4 + g). Let a be 0\/1 - 3 - -6. What is the highest common divisor of a and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -5\/3 (b) 19 (c) 1\/2 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a**2 + a**2 - 2*a**2)*(-6*a**3 - 10*a**3 + 3*a**3) - 2*a**5 + 7*a**5 - 3*a**5.\nAnswer: 80*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -0.0929?\nAnswer: -0.3716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 1 + (76 - 84).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6 less than 45345888133475?\nAnswer: 45345888133476.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1239b (base 16) to base 5.\nAnswer: -4342101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**3 - 5*w**3 + w**3)*(-3*w - 4*w + 5*w) + (-3*w**2 + 3*w**2 - 2*w**3)*(-3*w + 0*w + w).\nAnswer: 18*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 22\/6 - (-2)\/12*-4. Solve 2*k - h*v = -2, -k - 4*v + 6 = 18 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 128 divided by 16\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122020 - -1?\nAnswer: 122021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 7*y**2 - 4*y - 4. Let d(t) = -t**2 + t - 1. Let w(f) = 6*d(f) + i(f). Calculate the remainder when w(-9) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46.9999832 + 47. Round p to six decimal places.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 2434 (b) -4 (c) -13\/2 (d) -14.7 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p - p + 6 - 4 + 2. Let c be t(2). Let f be (2\/(-20))\/(c\/(-5)). What is the closest to f in -0.3, 2, -2\/15?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 221 - 89. What is the greatest common divisor of o and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72810173 a multiple of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -267.027023 to 0 decimal places.\nAnswer: -267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1696)\/(-120) + (-4)\/30 + -2. What is the hundreds digit of 2339\/6 + 2\/k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 - 13*k + 24. What is x(6)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 - v**2 - 2*v**2)*(-8*v - 10*v**3 + 8*v + (-v + 2*v - 2*v)*(-2*v - v**2 + 2*v)).\nAnswer: 9*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {y: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -194521950 divided by 111.\nAnswer: -1752450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2305.\nAnswer: 5, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1988 divided by -4.\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26) - (sqrt(936) - (sqrt(936) - sqrt(936)*1)))\/(sqrt(2) + (1*sqrt(14))\/sqrt(7)) - ((sqrt(104)\/sqrt(2) + 0)*-4 + -1)**2.\nAnswer: -833 - 37*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.5, 1.89, -0.5, -0.02, -2\/19, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 24.7424 and 1.41.\nAnswer: 26.1524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46964371*s**5 - 39338920*s wrt s.\nAnswer: 939287420*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(17) + sqrt(17) + 0 + sqrt(1377) + -5.\nAnswer: -7 + 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -l**9\/1008 + l**6\/60 - 3*l**3\/2 + 9*l. Let p(n) be the second derivative of o(n). Find the third derivative of p(w) wrt w.\nAnswer: -180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 248 + -133. Suppose -j = -6*c + c. What are the prime factors of c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 0.3, 9, -0.1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -5*t**2 + 45*t - 2. Let c(f) = 21*f**2 - 178*f + 9. Determine 2*c(m) + 9*s(m).\nAnswer: -3*m**2 + 49*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w + 1. Let g be v(4). Let d be (1\/16)\/(g\/(-18)). Let o be ((-2)\/8)\/((-2)\/24). What is the nearest to 0.1 in -3, o, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18954 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.396558km?\nAnswer: 39655.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s + 5. Suppose -3*m - 5*l = 28, -3*m + l + 31 = 29. Calculate h(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 785093094 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + 6*m + 8*m**2 - 10*m + 2*m**2 - 5*m. Let b be z(9). Suppose 15*r - 14*r - 30 = b. Solve -d + 5*p = -r, -2*d - 2*d + p + 25 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 878 (base 16) to base 6.\nAnswer: 14012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + g**2 + g - 1. Let j(x) = -5*x - 30. Let i be j(-7). Let s(u) = u**3 - 5*u**2 - 5*u + 5. What is i*h(q) + s(q)?\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 5*d**3 - 2*d. Let w be b(2). What is the highest common factor of 9 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 90 = -118. What are the prime factors of l?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 394140 and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000507607 rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*m + 178 = 5*l - 42*m, 0 = -2*l + 2*m + 68. Let z = 63 - 44. Calculate the remainder when l is divided by z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - (5 + -1 - (-11 + 13 + -3))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 9 = -54. Calculate the smallest common multiple of x and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-3)*u*u**(-9)*((u**(-1\/2)*u)\/u)\/(((u**(1\/3)\/u)\/u)\/u*u*u) assuming u is positive.\nAnswer: u**(-65\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4 = -0*o, 3*p = -4*o + 116. Suppose p = -s - 2*s. Which is greater: -13 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*k**5 - 24*k - 57*k**3 + 57*k**3 wrt k?\nAnswer: -300*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11\/(77\/21))\/((-1)\/1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2*((-6*sqrt(45) - -3*sqrt(5)*2) + 4))**2.\nAnswer: -576*sqrt(5) + 3024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159425788?\nAnswer: 2, 23, 59, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 451919 to the nearest integer?\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of 90 + 290\/3*m**3 + 0*m**2 + 0*m. Let f(v) = -v. What is i(f(t))?\nAnswer: 290*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 677 is divided by 103.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.32383911 rounded to three dps?\nAnswer: -0.324","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -57\/8. Which is the second biggest value? (a) -1\/3 (b) -5\/14 (c) p (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 222 + -244030141?\nAnswer: -244024414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*w + 631 = -0*w, 4*w = v - 631. Let c = v - 411. Let h = c - 61. Round h to the nearest ten.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 3*f = 20 - 3, -2*g = 3*f + 22 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 81 - 87.4. Let v = 2 + t. Let a = v - -0.2. Round a to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.209 and -0.1.\nAnswer: -0.1209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3. Let c(d) be the second derivative of -2*d**3\/3 + 35*d**2\/2 - 8*d. Let b be c(7). Let h(t) = b + 4*t - 3*t + 0. What is 3*h(q) + 7*l(q)?\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 3 = -2*y. Let b be (-16)\/(-2) - -1*1. Let g = b - 4. Calculate the greatest common divisor of g and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2000265 by -400053.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**3 - 345*y**2 + 28080*y.\nAnswer: -5*y*(y - 48)*(y + 117)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j + 1. Let i(o) = -21*o - 2 + 45*o + 4*o**2 - 22*o. Let v(z) = -2*g(z) - i(z). Let t(x) = x. What is t(v(a))?\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 0 + 0 + (-22 - -25)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(608)*1)\/(sqrt(22)\/(sqrt(33)\/sqrt(12))).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-9))\/a)\/(a\/(a\/a**(-1)*a))*a*a**(2\/21)*a*a*a**(-5) assuming a is positive.\nAnswer: a**(191\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.8, 14, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*f = -24*f - 30*f - 3*n + 6, -46 = -5*f + 7*n for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 86, 265, 2\/21, -5, 0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/36 and (-5)\/(-30)*((-905)\/80 - 2).\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8521711?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00027701419 to five dps.\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, -26, -106, -260, -512, -886, -1406?\nAnswer: -2096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of z**5\/20 - z**4\/12 - 2*z**3 + 4. Let c(k) be the third derivative of t(k). Suppose 6*d - 6 = 3*d. Determine c(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 66, 0, 0.5, 1.7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (79\/395)\/(10\/(-3250))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 9*t + 3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/199, -0.3, -130, 1\/8, -2, 4 in descending order.\nAnswer: 4, 1\/8, 2\/199, -0.3, -2, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 109854 and 54?\nAnswer: 329562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 339264 and 188480?\nAnswer: 1696320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1461851472?\nAnswer: 2, 3, 179, 170141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 0.01, -75 in descending order.\nAnswer: 7, 0.01, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + -6 - 3) + 3 - -7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2665 is divided by 58?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8211.\nAnswer: 3, 7, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -239350 at least as big as -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -194 - 28*u**2 + 0*u**3 - u**3 + 607*u + 192 - 241*u as v + b*u + m*u**2 + j*u**3 and give b.\nAnswer: 366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -30.901? (a) 62 (b) 10 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 25581495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 63596602 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -66.4 - -69.39936. Let w = g - 3. What is w rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c - 20. Let s(i) = i - 59. Let p(w) = -2*f(w) + s(w). Let l(d) = d + 10. Give 11*l(z) + 6*p(z).\nAnswer: 5*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 315748 (b) -0.1 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of x**3 + 6*x. Let o(j) = j. Calculate o(q(c)).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-5\/13))\/((g**(-13\/2)*g*g)\/g))\/((((g\/((g**(1\/5)\/g)\/g))\/g)\/g)\/(g\/(g\/(g**16\/g*g)))) assuming g is positive.\nAnswer: g**(2771\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(160\/(-245))*54\/378\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 - 10. What is the remainder when 25 is divided by 3*((-19)\/(-3) - b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.11 (b) -5 (c) -3 (d) -2\/9 (e) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 - -4 - (2\/78 - 0). Which is smaller: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-6)*1*-3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 26*i**2 + 69*i - 91. Give m(28).\nAnswer: 273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + 1 - (5 + sqrt(80) + sqrt(5))) + -4*sqrt(320) + ((-1 + sqrt(5) + sqrt(5))*-5 - sqrt(5))**2.\nAnswer: -139*sqrt(5) + 626","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 527 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (8 - (57 + -37))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1723\/7 - 14639\/63. Let i = -544\/63 + l. Factor 4*b - i*b**2 - 4\/7*b**4 - 8\/7 + 20\/7*b**3.\nAnswer: -4*(b - 2)*(b - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 440 = 240*q - 251*q. What is the closest to -0.1 in 1, 1\/4, q, -0.5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**0)**22\/(q**(-1))**(-2\/15))\/((q\/((q**(-2\/13)\/q)\/q))\/(q*q*q**(-2)*q)*(q\/q**0)**(-3\/5)) assuming q is positive.\nAnswer: q**(3961\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 85 and 17765.\nAnswer: 17765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -5*x**2 + 68*x + 416. What is a(-7)?\nAnswer: -305","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-1\/5)\/w*w)**16)**(-15))**(-9\/8) assuming w is positive.\nAnswer: w**(-54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 2*v + 4*v. Suppose 0 = -4*d + n - 3*n + 184, -d + 5*n + 46 = v. Is d less than 45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 77\/5 of a meter?\nAnswer: 1540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22)\/55*(-5)\/(-3)*-2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7444.69 to the nearest ten.\nAnswer: 7440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*n*v**4 + 78*n*v**3 + 442*n*v + 4*v**6 + 17*v**2 wrt v.\nAnswer: -96*n*v + 468*n + 480*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, -1, -257, -2\/7, -3, 0.5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1)**(-2\/23)\/(t**1*t)**3 assuming t is positive.\nAnswer: t**(-140\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(-2\/15)\/n))\/(n*n*n**(3\/5)))**(-35) assuming n is positive.\nAnswer: n**(49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -114.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of 3*g**4\/8 + g**3\/3 + 2*g**2. Let m(j) = 17*j + 4. Let u(w) = 6*m(w) - 11*s(w). Let p(t) = -t - 1. Calculate 2*p(d) + u(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 8744.409 nanograms?\nAnswer: 8.744409","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 2. Let -11*i**4 - 6*i**3 + i - c*i**3 - 4*i**5 - 3*i**2 + 2*i**2 = 0. Calculate i.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) + sqrt(132) + sqrt(132)*-2)\/sqrt(12) + 4 + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 6, d: 1, r: 1, b: 6, q: 6}. Give prob of picking 1 r and 2 q.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 d when four letters picked without replacement from cdsmdddydddddtdd.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 276*c - 1166*c - 15*c + (0 + 2 - 4)*(-1 - 2*c + 1) - 5 + 5 + 3*c.\nAnswer: -898*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 53*o - 59*o + 3936. Let i = o + -208. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 512 divide 19990774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -940301, -1880600, -2820899?\n\"Answer: -940299*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4960828*c**4 + 5*c**3 - 3409855*c**2 + 3.\nAnswer: -119059872*c + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.11, -407, -16.\nAnswer: -407, -16, 0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -67 smaller than -66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.05 + -2. Let b = f + -0.15. What is the nearest to b in -5, 3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do -31 and -2997\/97 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 64\/8545 - -918031\/4067420. Find the common denominator of o and -11 + 15 + (-37)\/(-12).\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 103, -2, 1\/33, 4 in ascending order.\nAnswer: -2, -0.5, 1\/33, 4, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -4. Let i = f - -7. Suppose -4 = k, -2*s + 3 - 1 = k. Solve 0 = -s*j - 4*u + 13, -5*j - 3*u + i = -0*u for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 135*-355.49\nAnswer: -47991.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -405 + 401. What is the biggest value in 7, 2\/29, s?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38*m*v**3 - 4*m*v**2 + 168*m + 26*v**5 + v**3 wrt v.\nAnswer: 228*m + 1560*v**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 22*t**2 + 7. Let w be i(22). Suppose 3*c = -3*s + 39, s - 16 = -3*c + w. Calculate the lowest common multiple of s and 1*((-2 - -3) + 13).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*c - 1905 = 0, -5*c + 74 = u - 581. Is u a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2322 - -2329. Let o(u) = u**2 - 4*u + 8. What is o(f)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of i**5\/20 + i**4\/3 - 4*i**3\/3 + 5*i**2\/2 + 7*i. Let q be s(-5). Suppose 0 = 3*m - 4*m + q. Does 5 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by 407.\nAnswer: 14\/407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - o - 1. Let a(i) = -3*i**2 + 3*i + 3. Let n be (-2)\/7 - (-936)\/(-56). Let f = n - -18. Calculate f*a(d) + 2*s(d).\nAnswer: -d**2 + d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3*f**2 + 85*f - 5. What is the remainder when 204 is divided by g(28)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1568, 3130, 4692, 6254?\n\"Answer: 1562*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 4*u**4 - 2*u**4 + 6*u**2 + 4*u**2 + 42*u**3 + 6*u**4 = 0.\nAnswer: -5, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zicd when four letters picked without replacement from cipyzppdyzpdzz?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 32 = o, -35*f = -4*o - 30*f + 40 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 2*w**2 + 3*w - 3. Let u = -374 - -371. Calculate the least common multiple of 165 and i(u).\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(49)\/(-3*(sqrt(112) + sqrt(7))).\nAnswer: -sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0282*-27.93.\nAnswer: -0.787626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40 - 36. Let f(w) = -2*w + 1. Let g be f(-2). Sort g, 1, h in increasing order.\nAnswer: 1, h, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -3*v**4 + 13059*v**3 + 117756*v**2 + 78564*v - 209376 = 0.\nAnswer: -8, -2, 1, 4362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*c - 29*c = -114 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33034 is divided by 516?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 84 - -15. What is the remainder when 392 is divided by j?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-41265)\/(-7074)*(-6)\/10?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(75)*1 + sqrt(75))**2.\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (65079\/(-28))\/(-3) + (-13)\/(-4) + -2.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 92236 divided by -23059\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -5, 4\/11, 49, 5.\nAnswer: -5, -4, 4\/11, 2, 5, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of 0*w**3 + 0 - 1\/4*w**4 + 0*w**2 + w. Let l(b) = b. Give l(r(g)).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 3*(3*(sqrt(243) + (-1 + sqrt(243) - sqrt(243))) + 5*(sqrt(243) - (sqrt(243) - (0 + sqrt(243))))))**2.\nAnswer: -1728*sqrt(3) + 139984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q + 6054 = -10*q - 3*m, -4*q - 4*m = -8096. What is the thousands digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 5, 2*d - 17 + 43 = -4*w. Let a(i) = 19*i - 2. Let o be a(d). Let m = -54 - o. What is the smallest common multiple of m and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(4\/(-2))*(-10)\/(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2*a = -226254, -t - 297*a = -299*a + 75414. What is t rounded to the nearest 1000?\nAnswer: -75000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + q**2 + q + 6. Let s be d(0). Solve -18 = -3*y - 3*g, s + 3 = 3*g for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 691937 - 2075803 - q + 691943 + 691923.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 212020089, 424040182, 636060275, 848080368, 1060100461, 1272120554?\n\"Answer: 212020093*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-2\/31)*b\/(b*b\/(b*b**4)*b*b*b)*((b**(-2)*b)\/b)**22 assuming b is positive.\nAnswer: b**(-1335\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -1 + 0 + 0 - 3*u. Let w be c(-1). Suppose 5*y + w = 12. Solve 0 = i - v + 3*v + 5, -2*v - 8 = -y*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/((sqrt(30)*-2)\/sqrt(5)) + -1 + (-2*sqrt(84)*1)\/(-2*sqrt(192)))**2.\nAnswer: sqrt(7)\/2 + 23\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k - 4*c - 48700, -4*c = -5*k + 8*k - 24308. Is 16 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**3 - 2*p**3 + 3*p**3 - 5*p**3.\nAnswer: -7*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 + 3*d**2 + 17*d + 263. What is the hundreds digit of z(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -377, -369, -349, -311, -249, -157, -29?\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.74225 to two decimal places.\nAnswer: 9.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b4b3 (base 12) in base 16?\nAnswer: 9e07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + 5*q - 46. Calculate t(7).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1404.5482 plus -3209530?\nAnswer: -3208125.4518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/5)*d*d\/(d*d*d\/d**6))\/(d**(-2\/15)\/d*d\/d**(-1)))**(-26) assuming d is positive.\nAnswer: d**(-1768\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -149 + 182 + -3 + 1.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6.1 and 0.047?\nAnswer: -0.2867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3341267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -21*o**2 - 5*o + 1. Let f be h(2). Let g = f + 101. Let z = -1 + g. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 6 - 6)*(0 - 1 + 0)*(-426*i**4 + 408*i**4 - 434 + 577).\nAnswer: 108*i**4 - 858","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (294\/(-455))\/(((9\/12)\/(-3))\/((-1515)\/(-1818)))?\nAnswer: 28\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.6? (a) -1 (b) -0.05 (c) -11 (d) 0.02 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9366204 to the nearest integer?\nAnswer: 3060","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/281? (a) -986 (b) -0.01 (c) -1\/9 (d) -1 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14997 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -30*u + 27*u. Suppose 0*v = -v + u. Solve -4*z + 31 = -5*r, 3*z + v*r = 5*r + 18 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 813342 and 203194.\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.4 minus -14?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47450 = -1472*m + 523*m for m.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14557445233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45*p**3*u**3 - 7*p**3*u**2 - 62*p*u**3 - p*u - 2*u**2 + 2 wrt u?\nAnswer: -270*p**3 - 372*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34787?\nAnswer: 43, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 28 and 3568.\nAnswer: 24976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1395824 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 435857.\nAnswer: 435857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -0*f + 2. Let d be (f - -27) + (-3 - -3). Let a = -14 + d. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w, 1 x, and 1 m when four letters picked without replacement from {w: 4, i: 2, m: 2, y: 8, x: 3}.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2498 is divided by 279?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5524*t - 5331*t = 2895 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -13*v**5\/60 - 11*v**2. Let x(a) be the first derivative of a**3\/3 - 5. Calculate x(q(n)).\nAnswer: 169*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, w: 3, j: 3, h: 4, u: 3}. Give prob of sequence jwdw.\nAnswer: 9\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -4182615*u**4 + 12547855*u**3 + 37643505*u**2 + 20912985*u - 50 = 0?\nAnswer: -1, 2\/836523, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*j - k, -6*j + 4*j + 6 = -k. Let c(b) = b**2 - b + 3. Let f be c(3). Solve 4*a - n = f, j*a - 3*n + 3 = 2*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -152424, 3, -1, -3, 2 in descending order.\nAnswer: 3, 2, -1, -3, -152424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/4 of a gram in milligrams?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.162173 and -0.5.\nAnswer: -0.5810865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2*w = -2. Is 1995\/28 + w\/(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 88 - 79. Suppose -146 - 7 = -u*f. What is the first derivative of 5*l**3 + 5*l**3 + f*l**3 - 7*l**3 - 22 wrt l?\nAnswer: 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*j, 4*z + 6 = 5*j - 11. Suppose z*u - 26200000 = 4*u. Round u to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -74810 + 94?\nAnswer: -74716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q\/q**(-3\/5))*q\/q**(-3\/2)*q)\/(q*q\/q**(-4\/11)*(q*q\/((q*q**(1\/5))\/q*q))\/q*q) assuming q is positive.\nAnswer: q**(81\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 + 10*t**2 - 6*t - 12. Let z be v(9). Find the first derivative of -2 + z + 4*b + b + 0*b wrt b.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 1712 = -5*x - 1695, 5*v + 23 = 3*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*w + 16*w + 50*w = -w + 160 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11\/8 - -15\/8. Which is the closest to u? (a) -0.1 (b) 3 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from 0.8381.\nAnswer: -4.1619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/384 and 41\/1488.\nAnswer: 11904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.208881nm to kilometers.\nAnswer: 0.000000000008208881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 5*d. Let v(u) = 2*u**3 - 10*u. Let k(m) = m**3 + 9*m**2 - 6*m - 124. Let f be k(-5). Give f*v(h) + 11*j(h).\nAnswer: h**3 - 5*h","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Is 5226 != 5226?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4644 and 44634?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4409*f + 4414*f = 4*z - 33, -16 = 2*z + 4*f for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 236 + -223. Suppose -9*b - 16 = -j*b. Solve -b*u - 4 = 4*d, 0 = -5*u + 4*d - 2*d + 30 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*l - 3. Let w(u) = u**3 - u**2 + 12. Let y be w(0). Suppose 2*v - y = -l*x, -v + x - 24 = -3*v. Is 14 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 34*c - 39*c. Solve -9 - c = 4*r - y, r - 4*y - 8 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1835732.\nAnswer: 2, 547, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of o**5\/20 - o**4\/6 + 5*o**3\/3 - 2*o**2. Suppose 10*r - 54 = 4*r. Is a(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + ((-64)\/24)\/((-4)\/(-378)*-9).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 29 = d, -3*z - 2*z + d - 34 = 0. Let g be 0 - (66\/30 + 1\/(-5)). Are z and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-24)\/(-108) + (-38)\/9. What are the prime factors of (18\/b)\/(4\/(-48))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19679159.\nAnswer: 19679159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 5*b - 20. Let w be q(8). Suppose 3*n + 5*z + 25 = 0, 4*n = 3*z - z + 10. Put n, w, -2, 3 in descending order.\nAnswer: w, 3, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/23)\/j**2)\/(j**(-2\/9)\/((j*j**(-2\/11))\/j)) assuming j is positive.\nAnswer: j**(-4660\/2277)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 301302?\nAnswer: 301302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -126484 (base 9) to base 13.\nAnswer: -2903b","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a minute in seconds?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1073 is divided by 214.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w - 7. Let y be l(3). Let d(r) = -r**2 + 6*r - 2. Let a = -11050 + 11053. Let j(p) = -p**2 + 5*p - 2. Calculate a*d(c) + y*j(c).\nAnswer: c**2 - 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 - 7\/(28\/16). Suppose 8*d - 7*d - 2 = c. Suppose -4306 = -d*v - 708. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*t - 720 = 21*t + 116*t for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-13)\/(-78))\/(22\/(-30)))\/((-1435)\/6888)?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -104*b**5\/5 - 5*b + 96. Differentiate a(w) wrt w.\nAnswer: -416*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2664771249 + -69.7335216351. Let d = -70 - s. Round d to 7 decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -4739.\nAnswer: -4\/4739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 301640 bigger than 301637?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.4 + 0.51. Let u = d - -0.79. Let y = 1.2 - 0.2. What is the second biggest value in 0, y, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5052 - 2453. What is the thousands digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -65*t**2 + 36*t - 6. What is s(2)?\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (8 - (5 + (-1 - 2)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**3 - 19*o**2 + 5*o - 7. Suppose 4*g - 2036 + 336 = 0. What is the remainder when g is divided by c(-10)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 62 + -88. Let l be (i\/4)\/(4\/(-8)). Solve -5*g + 12 = -l for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 6:53 AM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.043 * -33351\nAnswer: -1434.093","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**3 - x**2 - 6*x - 2. Let p(j) = j**3 - j**2 + j. Calculate -l(k) - p(k).\nAnswer: -3*k**3 + 2*k**2 + 5*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*g + 117*g = -140. Let p = g + 358. Suppose 5*b = -i + p, -2*b - 2*i = -104 - 22. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b - 1. Let g be q(4). Let o be g\/15 - 16\/(-3). Suppose -o*y - 19 + 69 = 0. Solve -4*p + y = -6 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1868, -7532, -16954, -30128, -47048, -67708, -92102?\nAnswer: -120224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of 0*h**3 + 0*h**2 - 61*h - 1 + 1\/25*h**5 + 1\/225*h**6 - 7\/90*h**4. Find q such that o(q) = 0.\nAnswer: -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + -14 - (0 + 12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 6*s**2 + s - 6. Suppose 9 = -v + 3*r, r = 3*v - 4 - 9. Let m be i(v). Solve 0*o + 4*o - 4 = m for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -4. Suppose -2*f + 24 = -4*b, -j*f + 3*b = -11 - 12. Suppose -f*h = h. Solve h = 2*c - 0*c - 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/2061402 and -13\/9?\nAnswer: 6184206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2615 + 2639. Solve -7 = -z*x - 103 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-35568)\/385320*52\/5)\/((-6)\/(-2))?\nAnswer: -8\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iivzw. What is prob of sequence iwv?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5694201 and 632689.\nAnswer: 5694201","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1304 + 1304. Solve 16*j - 5*j = u for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 11:15 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1305823784 or -0.1?\nAnswer: 1305823784","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -797 - -1674. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 881*d**2 - 296*d**2 - 287*d**2 + 3*d**3 - 4*d**3 - 298*d**2.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of 45*p**4\/4 + p**2\/2 + 203*p + 32. Find the first derivative of r(f) wrt f.\nAnswer: 135*f**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/154)\/(-311 - (-3080520)\/9900)\nAnswer: -10\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 2333.91\nAnswer: -11669.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83035.\nAnswer: 5, 16607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 11*m = -42. Let q(a) = -a**3 - 6*a**2 - 7*a - 15. What are the prime factors of q(m)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1618970042?\nAnswer: 2, 809485021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63091.43 centuries to decades.\nAnswer: 630914.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 154857 and 2122674.\nAnswer: 3777","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -5. Let h(i) = i - 2 - 2 - 5*i + i**2. What is h(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2*q + q = 0, 5*r - 4 = 3*q. Solve -4*t - v + 17 = 0, 4*t - 6*t - r*v = -10 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d - 22. Let l be q(6). Let s be (42\/l)\/(3\/(-8)*1). Solve -3*i - s*z + z = 24, 5*z + 19 = 2*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 7:27 AM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.2 (b) -0.0178 (c) 0.3 (d) 1005\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13d (base 15) to base 2.\nAnswer: -100011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -142 + -81.973712.\nAnswer: -223.973712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*t + 33 - 81 = 0 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 465, -4 in descending order.\nAnswer: 465, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/11, -2\/30063, 0.5, 0.\nAnswer: -2\/30063, 0, 4\/11, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 1.5. Let m = f + 1.44. What is m rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64304031 is divided by 2679334?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16191 less than or equal to 16192?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/(18\/(-6))*35\/(-15) and 47\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -10*o - 13. Let s be f(10). Let l = 158 + s. Suppose 4*i = 3*r + l, 0 = i - 6*i + 3*r + 57. Calculate the lowest common multiple of 12 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3600*x - 3910 = 3770*x for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1521 + 33493\/22. Let w = 4843231\/244244 + 3696\/793. Let r = -20\/77 - w. Calculate the common denominator of r and g.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a meter in millimeters?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*w + 3*w - 2*y + 16, 5*w = -5*y + 25. Let d be 1\/1 - (-9)\/w. Put d, -5, -3, 0.2 in decreasing order.\nAnswer: d, 0.2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.19 - -8.79. Let c = -0.16 - 0.14. What is the biggest value in -0.01, c, 0.1, z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 6:37 PM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -257430 + 257430.140019. Let k = -6 - -6.14. Let y = h - k. Round y to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 64 = -3*m, 43*g + 160 = 38*g - 2*m. Let i(k) = -8*k**2 + 5. Let v(a) = -52*a**2 + 32. Calculate g*i(b) + 5*v(b).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 746416.2ug to grams.\nAnswer: 0.7464162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 10) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 184*d**3 + 2*d**2 - 2. Let j be l(1). Calculate the highest common divisor of j and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h. Let z(p) = 304194*p**2. Determine b(z(s)).\nAnswer: 608388*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/9548 or -1?\nAnswer: 1\/9548","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 8583, 0, 8, 1, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p + 7. Let z be 9\/(-2 - 21\/(-6)). Suppose 2*u - 12 = -2*u. Calculate the least common multiple of u and k(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23704569703 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55 - 343 - 99 - 5)*(-2*c**2 + 9*c - 5*c + 0*c**2).\nAnswer: 784*c**2 - 1568*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 474\nAnswer: 1\/158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 534 a factor of 30560286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -299 + 375. Suppose 100 = 3*n + g. Solve -n*d = -0 + 16 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-1 + 3) + (-26)\/10. Let l = 273\/2 - 136. What is the second smallest value in l, f, 1, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -0.4, 0.3, 69?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 5, w: 7, g: 4}. Give prob of picking 1 g, 1 y, and 2 w.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4*q = 4*u - 29, -2*q = -3*u + 17. Let y(k) = k**3 + k**2 - k + 2. What is the lowest common multiple of (2\/u)\/((-2)\/(-30)) and y(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 8 + 19)*(2*q + 2*q - 6*q)*(2*q - 2 + 2)*(q - 3*q + 4*q).\nAnswer: -120*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k + 7035. Let n(m) be the second derivative of -m**4\/6 + 565*m. Calculate n(x(g)).\nAnswer: -8*g**2 - 56280*g - 98982450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 42, -0.4, 1, -2\/43, -1\/94, -4\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 9*b - 969. What is u(107)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1377*p**2 - 801*p - 1?\nAnswer: -2754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4601587 - 4601076.9762. Let k = o - 510. Round k to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (-28 - (16 - 13)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 m when four letters picked without replacement from mgmmmmg?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 13047489.\nAnswer: 65237445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i**2 + 11*i**2 - 16*i**2.\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15921 - 15920. Put -18, 9, g, 3, -2 in ascending order.\nAnswer: -18, -2, g, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -1\/3 (b) 0 (c) 2 (d) 4\/3 (e) -191\/27\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -45, -12, 5, -4, -1 in decreasing order.\nAnswer: 5, -1, -2, -4, -12, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t + 2 - 3*t - 3*t)*(-2*t + 2*t - t**3)*(6*t - 3*t + 12*t).\nAnswer: 15*t**5 - 30*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/c**(1\/4)*c))**40\/(c**0\/(c*c**(-3)\/c)))**(6\/7) assuming c is positive.\nAnswer: c**(-198\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -8) + (25 - 32)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5804.\nAnswer: 2, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1658698 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19966948*b - 19966945*b + 39933900*b.\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q + 3*q + 2*q - 4*q. Let k(o) = 7*o + 11. Let x(r) = 6*j(r) + k(r). Let d be x(-15). Which is smaller: d or -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d. Let n = -20 - -23. Let j(q) be the second derivative of 0*q**2 + 1\/12*q**4 - q + 0 + 0*q**n. Calculate v(j(o)).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1925 is divided by 628.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 3 + 12 = 0. Suppose -2*v + 23 = v + 2*m, -15 = j*m. What is the second derivative of v*b - 88*b**3 + 1 - 1 + 82*b**3 wrt b?\nAnswer: -36*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -60a4 - -11?\nAnswer: -6093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 333202.\nAnswer: 2, 166601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 209503 (base 11) in base 15?\nAnswer: 69279","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffl when three letters picked without replacement from {l: 11, f: 3}.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04474987 rounded to three dps?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/13338 and 32\/1311.\nAnswer: 306774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-121)\/(7986\/9372) + 241?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 greater than or equal to 294?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3023032131 (base 5) in base 16?\nAnswer: -5c8a1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*(12\/18 + (-10)\/6). Suppose m = 6*t - 130. What is the highest common factor of t and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -224 + n**3 + 3*n**2 + 224 - 13*n + 13*n**3 + 5*n**3 in the form o*n**3 + j*n**2 + r + t*n and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(2\/15))\/(s\/(s\/(s**(1\/4)\/s)*s)*s))\/(s**(1\/3))**6*s**(-5)*s**(2\/11)*(s**1)**(-19) assuming s is positive.\nAnswer: s**(-15973\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from {e: 7, y: 5}.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 3*l**5 + 196*l**4 + 3992*l**3 + 27994*l**2 + 31845*l + 7650 = 0?\nAnswer: -34, -15, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/23, -26980, 1, -0.4 in increasing order.\nAnswer: -26980, -0.4, 2\/23, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) 2\/11 (b) -202 (c) -115 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 z, and 1 x when three letters picked without replacement from {x: 5, n: 2, a: 5, z: 3}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 406*z = -600*z + 261*z + 13798 + 26432 for z.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -143.14418 rounded to the nearest ten?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46509 divided by -46509.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 2043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 492 or 78275\/159?\nAnswer: 78275\/159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -121.75483 rounded to zero dps?\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 2*r + 6, 2*r + 5 = v - 0*v. Let k(x) = x + 1 - 2 + 0*x**3 + 47*x**3. Does 18 divide k(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6 and -0.375?\nAnswer: 0.225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2459600 rounded to the nearest one hundred thousand?\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 16\/(-238) - (-28)\/(-98). Let z be (4\/3)\/((-11)\/(-33)). Suppose 7*r - z*r + r = 0. Is r greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 289635 is divided by 57906?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ju when two letters picked without replacement from {j: 2, m: 3, u: 3, h: 1, z: 1, x: 8}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 2*m - 100. Let h = -23 + m. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of x**4\/4 + 8*x**3\/3 - 3*x**2\/2 + x - 479. Give u(-7).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -4*i**2 - 4*i - 6. Calculate u(-3).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -216251, -432917, -649581, -866243, -1082903?\n\"Answer: c**2 - 216669*c + 417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -226, -508, -822, -1162, -1522, -1896, -2278, -2662?\n\"Answer: g**3 - 22*g**2 - 223*g + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -89?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (2 - 1) - 2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13113123 (base 4) in base 15?\nAnswer: -8e16","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/2 - 14213*c\/2 - 7107.\nAnswer: (c - 14214)*(c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 3 = 2*z + 3*t, z - 5*t = 25 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q - 1. Let l be b(-14). Suppose 2*n + 4*i = 28, n - 3*n - i + 31 = 0. Let y = l + n. Sort 4, y, -10 in ascending order.\nAnswer: -10, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27004.54 decades to millennia.\nAnswer: 270.0454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159 = -6*l - 33. Calculate the smallest common multiple of l and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0902, -5\/14, -6.6, 2\/13 in ascending order.\nAnswer: -6.6, -5\/14, 0.0902, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 10, 20, 36, 58, 86?\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + -26 + -13 - -42 - -9.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/2520*14*(((-909)\/(-150))\/1 + -6)?\nAnswer: 1\/125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -9, -c + 5*t - 18 = -6. Let b(o) = 9*o + 5. Let f be b(c). Let m be f\/(-48)*6\/(-7). Sort m, -2\/9, -0.2 in ascending order.\nAnswer: -2\/9, -0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -132.14 times 0.00979\nAnswer: -1.2936506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 72678 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: What is the remainder when -945*(2 + -3) + (-5 - -1) is divided by 49?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 21*k**2 - k - 27. Let i be b(-10). Suppose -5*y = 2*m - i, 2028 = 5*y - 3*m - 35. Is 49 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.479886 months to millennia.\nAnswer: 0.0000399905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -5, 2, 6 in ascending order.\nAnswer: -5, 0.3, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - (128 - 149 - -13)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 6:54 PM?\nAnswer: 8:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*o**2 - 19*o**2 + 9 + 10*o**2.\nAnswer: -84*o**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-27)\/(-90)*-338 + (-3)\/5. Let d(a) = 13*a**2 + 4*a - 5. Let t be d(-4). Let i = x + t. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24018647711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4.2, 2\/13, 4, -4\/7?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266 is divided by 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 730\/(-415)*105\/(-585). Let d = r + -2\/249. Which is the biggest value? (a) d (b) 1 (c) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -30\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 817 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 32 = -3*p, m - 3*p = -0*m + 16. Suppose -6*a = -2*a + m. Suppose -l - 2*r = -4, 0 = -2*l + 5*r - 6 - 4. Put a, -3, l in descending order.\nAnswer: l, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (96148\/15600013)\/(2\/22*2)*(0 - -1)?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10405515*w**4 + 28*w**2 + 28936?\nAnswer: -249732360*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6137487?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m + 4*r - 20, 7*m = 2*m - r - 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and -6171.07281188.\nAnswer: -6170.67281188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 1 (c) 73 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f + 16891 = 5*f. Let o = f - -3944. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -533, -529, -525?\n\"Answer: 4*a - 537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 123 - ((-22)\/(-4) + 12\/(-8)). Let k = z - 114. Suppose -5*s + 3 + 2 = 0. What is the highest common divisor of k and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -6.85, 2.7 in descending order.\nAnswer: 2.7, 2, -2, -6.85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 4*i - 3*i)*(77 - 32*i - 77 + (-i + 3*i + i)*(1 - 3 + 3)).\nAnswer: 58*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tiii when four letters picked without replacement from tititittitit.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 8329282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrv when three letters picked without replacement from vvkvrrvrvvvrrrrrrrrr?\nAnswer: 77\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 23 = 3*r, 12 = 2*r + 3*c - 4 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zl when two letters picked without replacement from zlllllllllzll?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(144) + sqrt(144)*1))\/(-3*sqrt(72)))\/((-4*(3*sqrt(9) + sqrt(9)) - sqrt(9)) + -1*sqrt(1296)) + -5.\nAnswer: -5 - 4*sqrt(2)\/87","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*u**2 + 16 - 10 - 11 as b + x*u + a*u**2 and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8940005 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) - ((sqrt(95) + -3*sqrt(95))*-2 + sqrt(95))) + sqrt(95))\/((sqrt(180)*-1 - sqrt(180)) + sqrt(180)).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8360)\/19)\/(2 - 1). Let q = 2459 - s. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/385 and (-4785)\/(-450) + -20 + 6.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 809.\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*q - 77*q + 145*q - 16*q - 17*q - 21*q + 9*q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*b**2*p**3 + 19*b**2*p - 205*b**2 - 2*b - 8395*p**3 - 1 wrt p.\nAnswer: -48*b**2*p - 50370*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from psppppspppppppppppp. What is prob of sequence sspp?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 1 + d - 3*d + 3*d. Let s(a) = -1 + 4 - 4. Determine q(f) - s(f).\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3540930685 to the power of 1\/3, to the nearest integer?\nAnswer: 1524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, k: 2, f: 6, v: 1, a: 3}. Give prob of picking 1 b and 1 v.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 106, -72\/3329, -1\/2?\nAnswer: -72\/3329","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-18))\/(((-1300)\/234)\/25)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18534948 divided by -9267474?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2274378 (base 11) to base 15.\nAnswer: -5374dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 80*h + 820. Let s be n(12). Sort 1, -5, 3, s in descending order.\nAnswer: s, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*m**3 + 49058*m**2 - 3242188?\nAnswer: 27*m**2 + 98116*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -5460 + 10901 - 5441 + 8205*g as x + z*g and give z.\nAnswer: 8205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 111976\/9, -3, -0.06, 0.12 in ascending order.\nAnswer: -3, -0.06, 0.12, 111976\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 43500 to the nearest 1000.\nAnswer: 44000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 104\/817?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*r**3 + 26*r**4 - 11*r**3 - 23*r**4)*(4 - 133*r + 11 + 2 - 17).\nAnswer: -399*r**5 + 3192*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1))**(-1\/5) assuming l is positive.\nAnswer: l**(1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -217 - -243. What is the remainder when v is divided by (-3 - 3\/2)*-2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 10, 6*o = o - g - 20. List the prime factors of 34\/(-3)*o - -1.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**5 - f**4 + f**4 + (4*f + 14 - 14)*(-3*f**2 + 3*f**2 + f**4).\nAnswer: 7*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -42 (base 5) to base 2\nAnswer: -10110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8640 and 1565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 202524?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -24*i**2. Let h(o) be the first derivative of 3*o**2 - 4*o - 211. Determine h(n(d)).\nAnswer: -144*d**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -10*g + 9. Let b(s) = 19*s - 17. What is 6*b(l) + 11*o(l)?\nAnswer: 4*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -176979, 14, -6?\nAnswer: -176979","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02337 rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 27 = r, -x + 3*r = 423 - 420 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1159 a factor of 92867058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20 or -11?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -5*h + 48. Solve h*n + 0 = 24 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 723132 and 0.09.\nAnswer: 723132.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.99 - -7.99. Suppose 36 = -3*g + 120. Let p be (-20)\/g - 2\/7. Which is the biggest value? (a) -2 (b) w (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-36)*-3)\/(-2 - 0).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((12\/9)\/((-76)\/57))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -86506849 - -9.3.\nAnswer: -86506839.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -27936 (base 10) in base 5?\nAnswer: -1343221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4387583 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -456510, -915074, -1373640, -1832208, -2290778?\n\"Answer: -f**2 - 458561*f + 2052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) 0 (b) 5\/18 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 28*v**2 - 3*v - 6. Let t be i(-2). Calculate the highest common divisor of t and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**2 + a**2 - 2*a**2 + (-a + 2*a + a)*(3*a + 3*a - 4*a) - 4*a**2 - a**2 + 3*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1749390045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22.41 - 22.51. Sort a, 1\/3, -7.09 in descending order.\nAnswer: 1\/3, a, -7.09","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - -1. Let p = 2.2 + -2.4. Which is the third smallest value? (a) p (b) 0.5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzbbbbzzzz. Give prob of picking 4 b.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -71*s**2 - 3*s - 17. Let l(p) = 25*p**2 + p + 6. Let i(r) = -6*j(r) - 17*l(r). Suppose -z - 2*z = 6. Let v(a) = 4*a**2 + 3*a - 1. Give z*i(u) + v(u).\nAnswer: 2*u**2 + u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100 + -10000110?\nAnswer: -1111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -127 less than 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 * -12540.\nAnswer: -150480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -42305*b**3*d**5 - 2303*b**3*d**2 - 3*b*d**2 wrt d.\nAnswer: -2538300*b**3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d\/(d*d\/d**8*d))**(-47)*(d\/d**(-7))**(-30) assuming d is positive.\nAnswer: d**(-616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 2:20 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1728 and 160?\nAnswer: 8640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**2 + 0*o + 0*o)*(2143 - 1640 + 0*o**2 + 3*o**2).\nAnswer: 12*o**4 + 2012*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22\/3 or 1.21?\nAnswer: 1.21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 3 f when four letters picked without replacement from rrrffrrrfrf?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus -0.194?\nAnswer: 2.194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b = -0*b - 387. Let v = b - -121. Does 3 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*s - 12816 = -45*s. Suppose -150*p = -147*p - s. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 4*n**2. Let d(i) be the first derivative of i**3 + 7. Calculate d(b(f)).\nAnswer: 48*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_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: Is 47554643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.4, -2\/19, -10 in descending order.\nAnswer: 0.5, -2\/19, -0.4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 minus 1422089?\nAnswer: -1422089.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -43 + 313?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a week in minutes?\nAnswer: 3024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-399)\/38*(-6)\/7 - 3. Let k(p) be the first derivative of 4\/3*p**3 + 0*p**2 + q + 0*p. Let a(v) = 5*v**2. Give k(a(x)).\nAnswer: 100*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q**2 - 12 - 4 + 16.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 63*i**2 + 54*i - 416. Let c be o(56). What is c rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -94 - -92. What is the units digit of (264\/(-77))\/(3\/(-65 - o))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.045 + 0.245. What is the closest to h in -3, -0.1, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/40)\/(4\/10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 2:17 PM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -2\/5*m**5 + 0*m**3 + 10*m + 0*m**2 + 0*m**4 + 6. Differentiate l(v) with respect to v.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5269445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-58) + (-25875)\/(-40020). Let w be (12\/10)\/((-3)\/10). Let o = w + 6. Which is the closest to o? (a) 0.5 (b) 0.2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*m**4 + 1 + 17*m**3 - 26*m**3 - 3*m + 11*m**3 to the form h*m + j*m**2 + c + x*m**4 + b*m**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185*x = 186*x - 104. Is x a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a + 7*a + 426 = 0. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -10190, -40784, -91740, -163022, -254594, -366420, -498464, -650690?\n\"Answer: 6*t**3 - 10217*t**2 + 15*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**2*l)\/l*l*l**6)\/(l*l**(-4)*l*l**2\/l) assuming l is positive.\nAnswer: l**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that t**3\/6 - 6991*t**2\/6 + 32524*t - 208890 = 0.\nAnswer: 10, 18, 6963","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of s**7\/735 - s**5\/210 + 2*s**2 - 4. Let f(b) be the second derivative of g(b). Find p such that f(p) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -91.3 or 0?\nAnswer: -91.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2678366264?\nAnswer: 2, 7, 131, 7451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2 = 3*i - 2*w, 4*w = -2*i - 4. Suppose 0 = 2*u - 10 - i. Is 411 + 1 + -4 + u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v - 1. Let u(w) = 4*w - 1. Suppose 0 = 2*h + 43 - 41. What is h*u(p) + 3*f(p)?\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of 5*x**7\/112 + 3*x**6\/80 - 111*x**5\/160 - 51*x**4\/32 - x**3\/4 + 9*x**2\/4 - 2*x + 10. Find j such that d(j) = 0.\nAnswer: -2, -1, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 5*t. Let u = -163336 + 2121667\/13. Let w = 131 + u. What is the third smallest value in w, t, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -63*y**4*z - 152*y**3*z - 87*y**2*z - 14*y*z + 2*z - 3 wrt y?\nAnswer: -1512*y*z - 912*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/780 and 103\/108.\nAnswer: 7020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 1\/5, -0.4, 4, 0.11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/28)\/(((-4080)\/(-238))\/60)\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 1 + 4)*(0*i - i + 3*i) + 32*i - 4*i + 3*i + 1 - i - 1 + (-i + 2*i + i)*(-1 + 1 - 2) as d + o*i and give o.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - -2. Let l = 19 - y. Suppose l*b + 8 = 12. What is the lowest common multiple of b and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 11*j**2 + 15*j**2 + 2*j**2 + 2*j**2 + 1. Suppose -2*v - 2*m = 0, -3*v - m - 3*m = -1. Is y(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 3:22 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3893*k. Let x(y) = y**2. What is j(x(g))?\nAnswer: -3893*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 + 6*b + 4. Let r be q(-5). Suppose 3 + 9 = -3*i. Let m = i - r. Sort m, -4, -5 in decreasing order.\nAnswer: m, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5383669.\nAnswer: 19, 41, 6911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -4\/115, -1, -0.4, 313\/62?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41845 is divided by 122?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26.7 - -45.7. Sort s, 2\/3, -1\/7 in increasing order.\nAnswer: -1\/7, 2\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 3*a = 72, -36 = -3*y + 4*y - 4*a. Let h = y + 13. Let p(w) = w**2 + 3*w + 8. Is p(h) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -2, 1, 13\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/480 and 77\/720.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.3 - -1.23. Let j = s - 0.93. Let a = 1 - j. Put a, -3, 4 in decreasing order.\nAnswer: 4, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -22, -0.14, -0.2991 in ascending order.\nAnswer: -22, -0.2991, -0.14, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1000) + sqrt(1000)*-3 + sqrt(1000) + sqrt(1000))*-1 + sqrt(1000) + sqrt(1000) - sqrt(1000))\/(sqrt(16)\/(sqrt(32)\/(sqrt(4)*4) + sqrt(8))).\nAnswer: 25*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -770752 by -96344.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1967 - 1290. Let u = j + -370. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 793*i + 551*i + 159*i = -215*i - 94490 for i.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (33\/(-22))\/(1\/8)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1804 + 1361 = 426*x + 609 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 91505.29 years in months?\nAnswer: 1098063.48","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34\/(182\/13 + -7 - 5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 116 = m, 2*v + 4*m - 2*m = 104. Suppose 3*r + 81 = 2*z, -26*z + 117 = -23*z - 3*r. What is the remainder when v is divided by z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 117, 9, 16, 3 in increasing order.\nAnswer: 1, 3, 9, 16, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(3 + (sqrt(405) - (sqrt(405) - (2 + sqrt(405) + sqrt(405)))) + 4 + 2) + -1)**2.\nAnswer: 432*sqrt(5) + 1764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*s = -30*s + 34*s - 63 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 364, 0.105081, -6\/5 in decreasing order.\nAnswer: 364, 0.105081, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5454 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 45*t**2 - 701*t - 16517. Give q(-38).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*d - 6586 - 5489 = 0 for d.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-50))\/(81\/135).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-5 + 4 - 2)*(-3 - 2 + 2) + 4 - 2 + 0)*(959*z - 1423*z - 7 + 9) to the form i*z + w and give i.\nAnswer: -5104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.3 - 4.63. Let h = o + 0.03. Which is the smallest value? (a) -3\/8 (b) h (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 2:58 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 172322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 16 = 2*z - 46, 0 = 5*q + 20. Calculate the smallest common multiple of 3 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 53732, 53484, 53226, 52958?\n\"Answer: -5*s**2 - 233*s + 53970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 38 + -b1?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 698821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 40 = -46. Suppose z - 7 = -c - 0*z, 5*c + 4*z - 31 = 0. Suppose c*x = 3*f - 7*f + 15, 0 = -r*f - x + 15. Is f a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -4*y - 3. Let c = y - 8. Let g be (c\/2)\/((-4)\/8). Which is smaller: g or 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.29 - 14.99. Let w = r - -14. What is the biggest value in 5\/3, w, -5\/4?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7426\/605 - -9\/121. Calculate the common denominator of 8\/3 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of 2 - 1\/2*m**4 + 0*m + 2\/15*m**5 + 0*m**2 + 4\/9*m**3. Find s, given that r(s) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 127212 and 576571?\nAnswer: 449359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 21293*g + 42670. Suppose z = 6*z - 30. Calculate the least common multiple of z and h(-2).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 835 and 1503?\nAnswer: 7515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.508623 and -141695.\nAnswer: -141696.508623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/6 (b) 1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 34 = -h, 5*c - 5 = -4*h + 9. Suppose v - c + 0 = 0. Calculate the common denominator of (1\/3)\/(v\/(-26)) and -81\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 153 + -161. What is the third biggest value in 0.5, 6, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3.6 (b) -1.2 (c) -1 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 769\/((1\/14)\/((-28)\/(-49))).\nAnswer: 2, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u - 4 - 4, 2*x - 3*u = -0*u + 22 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggsssssgggsggs. What is prob of sequence ss?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 7\/(-14) + (-58)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s - 1. Suppose -2*z - 2 = -0. Let v(k) = -k**2 + k + 1. Calculate z*v(o) + r(o).\nAnswer: o**2 - 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1646 is divided by 812?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of s**3 + 25*s**2\/2 - s - 3. Let n be y(-3). Solve -3*c - 8 = 4*a, 0*a - 2*c = 3*a + n for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 3*h**2 + h + 5. Let t be (3\/(-3))\/((-1)\/9). Let s = t - 5. Suppose 4*l = 3*m - 20, 5*l - s*l = 3*m - 14. Give g(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 522 and 2596014?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiaaiaii. What is prob of picking 1 a and 2 i?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + 0 + -4 + -1 + sqrt(320) + 3)**2 + -3.\nAnswer: -64*sqrt(5) + 1281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -753424*l**3\/5 - 12554752*l**2\/5 + 4287436*l\/5 - 362372\/5.\nAnswer: -4*(l + 17)*(434*l - 73)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 27*s**2 + 279*s - 152. Let a(v) = -2*v**2 - 8*v - 1. Let i(r) = 42*a(r) + 3*m(r). Factor i(f).\nAnswer: -3*(f - 166)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 + 176 - 140 - 25*x.\nAnswer: -25*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 25 + -17 + (-2 - 0) + 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 17 = 1 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2249648422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 14*b**3 - 246*b**2 + 7*b - 8. Let l(z) = -16*z**3 + 250*z**2 - 8*z + 9. Calculate -7*g(x) - 6*l(x).\nAnswer: -2*x**3 + 222*x**2 - x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-6 - 7 - -10 - -2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 194\/345203?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + y - 66 = 0. Is y a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(2\/(-1) + 3). Suppose 1 = -q - 3*x, -x - k*x - 13 = -4*q. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 48, 5, -2\/5 in decreasing order.\nAnswer: 48, 5, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 533, 1044, 1555, 2066, 2577, 3088?\n\"Answer: 511*k + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/2 of a meter in centimeters?\nAnswer: 3450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 111*k**2*t**2 + 11*k**2 + k*t**2 - 14002*k wrt k?\nAnswer: 222*t**2 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -4, 5*k = -2*m + 6*m + 7. Let c = m - -13. Let b = 18 - c. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15807213 divided by -15807213\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 3*u - 41, f - 37*u + 35*u = 2. Solve 33 = -3*s - 3*c + 18, 4*c = -s - f for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*v + 48 = 0. Is -14*3\/24*v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97733328 a multiple of 924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f - 18. Let q be s(-17). Calculate the common denominator of (-7)\/q + -2 - (-6)\/(-12) and 139\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3840 - 560. Is r a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.152 - 0.239. Round d to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*g**2 - 39 - 584596*g + 292515*g + 39 + 292081*g.\nAnswer: -11*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-84)*7*3\/(-3))\/(2\/(-130)).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 24 + -20 - (1 - (-9)\/3). Solve -x = -3*x - 2*m + 4, 4*m - 12 = r for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*r = -u - 18*r + 2, 16 = -4*r for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 10) to base 6\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 270.4423 days in milliseconds?\nAnswer: 23366214720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 121843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(270)*-1)\/sqrt(10))**2 + -3*(sqrt(3) + -2*sqrt(12) + sqrt(3) - sqrt(3)).\nAnswer: 9*sqrt(3) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8 or 287\/44?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 481.9949 + 0.0051. Let s = -482.02 + n. Sort -2\/5, s, -1\/5, 2\/7 in decreasing order.\nAnswer: 2\/7, s, -1\/5, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17147 + -8962. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000530033023 rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + (-6*sqrt(1008)*6)**2) - (-1 + (3*(-4 + sqrt(1008))*-3)**2).\nAnswer: -5308403 + 7776*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2161 = -5*b + 2*f, b = 5*f - 2*f + 427. Suppose -224 = -9*d + b. What is the highest common divisor of d and 146?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-25)\/375*10)\/(46\/(-9)). Let j = -4.19 - -0.19. Which is the second smallest value? (a) j (b) r (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((144\/11256)\/(-3))\/((-62)\/(-217)*1\/(-6))?\nAnswer: 6\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 11*x - 7*x - 0*x + 2, -3*f = -114*x + 113*x - 7 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1029418, 1029406, 1029386, 1029358, 1029322, 1029278?\nAnswer: 1029226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 11*u - 4. Suppose 0 = -3*q + 21 + 48. Suppose 3*w + 24 = 3*m, -17 = 5*w - 3*m + q. Is 10 a factor of d(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 229*w + 176. Let q be (-24)\/18 - (-10)\/(-15). Let k(n) = 458*n + 352. Let m(o) = q*k(o) + 5*g(o). Differentiate m(h) wrt h.\nAnswer: 229","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of 8*z**7\/7 - 9*z**4\/4 + 358*z**3\/3 + z**2 + 2*z - 2728. What is the third derivative of t(m) wrt m?\nAnswer: 960*m**3 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12.89 + 18347697.\nAnswer: 18347709.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of 8*v + 0*v**5 + 0*v**4 + 7\/30*v**6 + 0 - 5\/2*v**2 + 0*v**3. Differentiate t(r) wrt r.\nAnswer: 28*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231097 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11\/3 - 3. Let b be (-1)\/(-2)*(-72)\/(-54). Suppose -h*u**3 + 2\/3*u - 2\/3 + b*u**2 = 0. What is u?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13867144, 13867149, 13867156, 13867165, 13867176?\nAnswer: 13867189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n**3 + 2*n**5 + 4*n**3 + (5*n**2 - 3*n**2 - 3*n**2)*(-n**3 + 0*n**3 - n**3) + 2*n**5 + 85 + 3*n**4 - 46 - 37.\nAnswer: 6*n**5 + 3*n**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96917 is divided by 285.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 113*g - 116*g - 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2448 is divided by 1076?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r*r**(15\/4))*r*r)*r*r)**(-28)*r*r**4*(((r\/(r\/((r**(-16)\/r)\/r))*r)\/r)\/r*r)\/r*r assuming r is positive.\nAnswer: r**(-146)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 224.804cm?\nAnswer: 2248040000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 41115 = -0*p. Let i = p + -28295. What is i rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -6, -2 in decreasing order.\nAnswer: 6, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 11:54 PM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114)*1 + sqrt(114))*-2)\/((sqrt(54)*2)\/sqrt(9) + sqrt(6)) + 5.\nAnswer: -4*sqrt(19)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005357426936 rounded to five decimal places?\nAnswer: 0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 61690 or 61684?\nAnswer: 61684","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 b when three letters picked without replacement from baabbbauaaaaau.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 962511 to the power of 1\/2, to the nearest integer?\nAnswer: 981","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of -s**8\/672 + s**7\/210 - s**5\/60 + s**4\/48 + s**2 - 3*s. Let k(j) be the first derivative of t(j). Factor k(c).\nAnswer: -c*(c - 1)**3*(c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1971 is divided by 1910.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 - (21 + 17) - -15?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o - 11. Let d(t) = t - 1. Let a(y) = 10*d(y) - 2*p(y). Let z = 15 - 9. List the prime factors of a(z).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/t**(-1\/16)*t\/t**5*t\/(t\/((t\/((t*t**(-2\/9))\/t))\/t))*t\/(t\/t**(2\/11)) assuming t is positive.\nAnswer: t**(-4013\/1584)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, y: 3, k: 8, a: 2}. Give prob of picking 2 p.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -38?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 46, -5, -14 in decreasing order.\nAnswer: 46, 6, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161038*p**3 + 222847*p**3 + 124728*p**3.\nAnswer: 508613*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1018, 1225, 1432?\n\"Answer: 207*p + 811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 5. Let h be 0 - (6 + (5 - 10)). What is the fourth biggest value in -5\/2, h, l, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8360 divided by -2?\nAnswer: -4180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t**3\/2 - 7*t**2 - 48*t + 720 = 0. Calculate t.\nAnswer: -10, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/21, 7, 642 in descending order.\nAnswer: 642, 7, 2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - 10*h + 6. Let i be k(7). Let n = -1.32 + 1.52. Sort n, i, 1\/3.\nAnswer: i, n, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*u**4 - 2082*u**3 - 13624 wrt u.\nAnswer: 8*u**3 - 6246*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(1*sqrt(2057) - sqrt(2057) - sqrt(2057))*3 - (-4 + sqrt(2057) + (-2*sqrt(2057) + sqrt(2057) - sqrt(2057)) + 1))*1)**2.\nAnswer: -726*sqrt(17) + 248906","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*q - 7317 - 5633 = 669*q for q.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 38, -0.5, -3, -2\/3 in ascending order.\nAnswer: -3, -2\/3, -0.5, 2\/5, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8479 to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 - ((5 - 27) + 19 - -14)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence skl when three letters picked without replacement from {k: 1, d: 3, z: 4, i: 4, l: 2, s: 3}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 8 = 0, 4*k - 6 - 26 = c. What is the remainder when 26 is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 187713403?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*g**3 - 33*g**3 + 21*g**3 - 75*g**2 + 75*g**2.\nAnswer: 41*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + sqrt(72)*1 + sqrt(72) + -1 + sqrt(72) + 1*sqrt(72)*-1 - (sqrt(72) - sqrt(72)*2*1 - sqrt(72) - (sqrt(72) + -1 + -4)))**2*-5.\nAnswer: -13140 + 2160*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(80) + -1)*2 - sqrt(80)) + -3)**2 + -2*(sqrt(80)*2 + sqrt(80)) + ((-1*sqrt(80))**2 - sqrt(80)) + sqrt(80) + -1 + sqrt(80) + -3 + 5.\nAnswer: -60*sqrt(5) + 186","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 874321.\nAnswer: 3497284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 8818 + 13810 = 0. Is 27 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42463471 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02951043149 - 0.05.\nAnswer: -0.02048956851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 78706416.5 less than 13.7?\nAnswer: -78706402.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 5*d. Suppose d*l = -l. Let i(s) = s**2 + s + l*s - 5*s**2. Determine i(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 10 = 5*i, -3*s + 0*i + 4 = -5*i. Let o be 2\/(-6) + (-10)\/(-3). Let a = -3747 - -3756. Solve a = s*n - o for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q - 2. Let k(f) = 22*f**2 - 21*f - 2815. Let l(c) = k(c) + 4*r(c). Differentiate l(d) with respect to d.\nAnswer: 44*d - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 109.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**(1\/3)*j*j)**44\/((j\/j**(-1\/4))\/(j*(j*j**0)\/j*j)) assuming j is positive.\nAnswer: j**(2297\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*a - 35 + 104 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-458)\/687*(-9)\/(-12) + 2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-284)\/(-8)*4 + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8217 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 539 divide 1542363699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -k + 5, k - 7 + 20 = -5*z. Let y(x) = 4*x - 14*x + 10 + 0*x + k + x + x**2. Determine y(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x. Let h be j(3). Let c be (0*h\/(-12))\/(-2). Solve c = -3*p - 4*a + 7, -5*p + 2*a + 9 = 6*a for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 5*n**2 - 11*n + 11. Let s be (-25 + (-8 - -11))*1\/(-2). Let d(g) = 2*g**2 - 4*g + 4. Determine s*d(m) - 4*z(m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 10573 divided by 3\nAnswer: 10573\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/12)\/((-18)\/(-96)). Which is the third biggest value? (a) -4 (b) -0.2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 203557 and 3575149.\nAnswer: 2867","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = c - 3*k + 19592, 0 = -c + 8*k + 4863. List the prime factors of c.\nAnswer: 5, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49749 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 6*g**2 - 3*g - 2. Let p be b(5). Let q be (-10)\/40 + 18\/p. Is 19*(q + (-3)\/(-3)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*l + 2*o, 0 = 4*l - 6*l + 2*o - 4. Suppose l*z - 5*z - 17 = -4*m, -m = -2. Let r = -45 - -49. Put -0.2, 6\/7, z, r in decreasing order.\nAnswer: r, 6\/7, -0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 - 12. Solve 4*u = 5*u + 4*a + 11, 3*a = -u - t for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.721 (b) 54\/23 (c) -0.12 (d) -1 (e) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 248196 and 198246555?\nAnswer: 792986220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fvffffvfffff. What is prob of sequence vf?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 4 - 58. Calculate the remainder when 71 is divided by g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -238, -372, -12 in ascending order.\nAnswer: -372, -238, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 75\/11351?\nAnswer: 75\/11351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7 and -0.22002.\nAnswer: -7.22002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10674 and 150579304?\nAnswer: 1186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -24241 (base 5) to base 10\nAnswer: -1821","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 161746335?\nAnswer: -161746340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -0.07?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 9*s + 5. List the prime factors of y(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1262203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*z - 2737*z = 1065*z + 91730 + 187780 for z.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = 5*i, 3*i + 7*i + 2 = 6*i + 14 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 q when three letters picked without replacement from {q: 8, u: 5}.\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 166988237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11973707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 78c8aa + -3?\nAnswer: 78c8a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1596140179 - -14.\nAnswer: -1596140165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/148 and -9\/25613.\nAnswer: 3790724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 24391496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 215151420.9 to the nearest ten thousand.\nAnswer: 215150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2701 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25586 is divided by 25250?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*z**5 + 37*z**4 + 33*z**3 + 7*z**2 - 2*z.\nAnswer: z*(z + 1)**3*(13*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 0*w. Suppose -3*s + 3 + 18 = w. Round s to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4005\/(-9936) + 2\/3 and 35\/184.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y = -y + 297. Which is the second biggest value? (a) 0.4 (b) y (c) 3 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*n**4 - 628*n**3 - 32436*n**2 - 528092*n + 1191016 = 0. What is n?\nAnswer: -53, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -395*z**2 - 355*z**2 + z**4 - 55*z - 3*z**4 - 5313 + 750*z**2 wrt z?\nAnswer: -8*z**3 - 55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30225 - -1207.2459?\nAnswer: -29017.7541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 155766139 to the power of 1\/2, to the nearest integer?\nAnswer: 12481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119446?\nAnswer: 2, 59723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-12 + 18) - -13.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -21 + 17 + 3*d - 2*d. Let z be t(7). Suppose 168 = -z*k + 15*k. What is the greatest common factor of 98 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -154.7 + 148.7. What is the third smallest value in 2, i, 0.4, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1455 + -1455. Solve -16*r + r - 30 = t for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -237\/4 - -727\/12. Let k(v) be the second derivative of 10*v - 1\/5*v**5 + 0*v**2 + h*v**4 + 0 - 8\/3*v**3. Factor k(o).\nAnswer: -4*o*(o - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a millimeter in micrometers?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.735 and 2?\nAnswer: 0.265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 362 in 0.3, 0, -4\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 25228?\nAnswer: -25225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 9.52778 tonnes?\nAnswer: 9527.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5457947.\nAnswer: 11, 43, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -b - 108, -o + b = 5*b - 44. Let s = -120 - -169. Suppose 7*d - 441 = s. What is the highest common divisor of d and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4976905899557513999187\/6410 + 776428372849516076. Let o = i - -4616554740. Let w = 4\/641 + o. What is the common denominator of 139\/12 and w?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 155 + -142 - (36 + 64).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 16*h + 564. Calculate the remainder when y(-26) is divided by 91.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 80*c**2 + 56\/5*c - 608\/5*c**4 + 14*c**5 + 882\/5*c**3 = 0. Calculate c.\nAnswer: 0, 2\/7, 2\/5, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 23 + 5 = 0. Suppose d = 2*f - 142, -4*f + 2*d = 3*d - 290. Let u = f + -79. Is t at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6991008 to the power of 1\/3, to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + (-10)\/(-3) + (-588)\/198. Let o = w - -283\/99. Which is the second smallest value? (a) -4 (b) o (c) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - ((3 - 2) + 2 + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(52) - (1 + sqrt(1573) - sqrt(13)))**2.\nAnswer: 44*sqrt(13) + 6293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 184*b**2 - 4*b. Let c(j) = -2*j + 6. Let i(y) = 2*y - 7. Let r(v) = -7*c(v) - 6*i(v). Give r(t(q)).\nAnswer: 368*q**2 - 8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12054 + -12040. Solve 5*j - 18 = -3*o, 0 = 5*o + 4*j - j - u for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 32 (c) 2\/173 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 100099 times 2\nAnswer: 200198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**2*m**3 + 4*g**2*m**2 + g**2 - 5493*g*m**3 + 21*g + 8*m**3 - 31*m**2 + 2*m wrt m?\nAnswer: 6*g**2 - 32958*g + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + 2. Let u be ((-10)\/(-18))\/(2\/d). Put -5, u, 2 in decreasing order.\nAnswer: 2, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 447290333 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 57 - 57. Solve z*a + 15 = -3*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2170 is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -27145 - -5?\nAnswer: -27140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**11*(k*k\/k**(-9))\/k)\/((k*k*k*k*k*k\/k**(-2\/19)*k)\/k*k**(-24)*k*k))**(2\/99) assuming k is positive.\nAnswer: k**(1402\/1881)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + 10*j + 54. Let v be (-2)\/(-6)*3*(-9 + 0). Is s(v) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33.7 + 3.3. Let j = l + -39. Which is the closest to -1? (a) 2\/7 (b) j (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1203 + 1137 = -44*c + 96 for c.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 216441?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 79366739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 17345*r. Let y(k) = -3*k**2. Determine y(f(x)).\nAnswer: -902547075*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 2 + -5 + 3 + -2 - 11.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10.33 - 7.69. Let h = z - -14.6. Let x = h - -0.42. Sort 3, -5, x in increasing order.\nAnswer: -5, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31074008 divided by 56\nAnswer: 554893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -629*h - 838 = -587*h + 209 + 927 for h.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggy. Give prob of sequence gg.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*z**4 + 2*z**4 + 14*z - 5*z**4 wrt z?\nAnswer: -84*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8402.635 - -8066.6. Let n = 334 + p. Let x = n + 0.035. What is the nearest to 1\/2 in 1, x, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*q**3 - 22328*q - 22332*q - 22330*q - 22337*q + 89327*q.\nAnswer: 15*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(704) - (-4 + sqrt(704) + 1*sqrt(704))))**2.\nAnswer: -48*sqrt(11) + 713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 102540722.\nAnswer: -102540721.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in -1.9, -0.9, 5, -17?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 5903*u + 914968. Calculate h(-155).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-26)\/4)\/((-45)\/(-10) + -5). Solve 2*t = -5*i - b, -9 = 4*i + 2*t + t for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 2*w + 1 + (340 + 757 - 26)*(-4*w + 2*w - 2*w) - 2*w + w - w in the form o*w + k and give o.\nAnswer: -4284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 449840 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/6 of a hour in seconds?\nAnswer: 18600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -56880*z - 170631. Calculate b(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 252567, 252409, 252251?\n\"Answer: -158*k + 252725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 94 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 12661.\nAnswer: 25322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 4*y**5\/9 - 14*y**4\/9 + 4*y**3\/3 + 8*y**2\/9 - 16*y\/9 + 2\/3 = 0.\nAnswer: -1, 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*x**5 - 448*x**4 - 2098*x**3 + 6300*x**2 - 3744*x = 0. What is x?\nAnswer: -39, -8, 0, 1, 6\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (211\/(-1899) - (-214)\/(-18)) + 59 + 0?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(176) + -1)**2 + (4 + (sqrt(1331) - (sqrt(1331) + -1)))**2 + 1 + 0.\nAnswer: -1036 + 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10108 - -15056. Calculate the remainder when m is divided by 101.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 39 - 32. Calculate the remainder when ((-738)\/(-14) + 2\/b)*1 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s - 10. Let g be l(-8). Let k = g - -2. Suppose k = y - 1 - 3. Does 4 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 412 - -179\nAnswer: 591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n = 12*n - 6. Let t be 15\/(-10)*-2*(0 + 1). Let i be n\/1*2\/t. Solve -i*y = -3*f + 18, -2*y - 3*y = 2*f + 11 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13.5 + 0.5. Let i = 23 + -14. Let y = f - i. Which is the second smallest value? (a) y (b) 0.4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/7801 and 17\/8199663.\nAnswer: 2205709347","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2 - 11*d + 7. Suppose -3 = 4*s + 1. Let n(a) = -a**2. Let g(k) = s*n(k) - m(k). What are the prime factors of g(9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6116374?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5003790 divided by -500379\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-18)\/s)**(-4\/19)\/((s*s**(5\/2)*s)\/s*s)**(5\/13) assuming s is positive.\nAnswer: s**(59\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 65, 229, -3, -5 in decreasing order.\nAnswer: 229, 65, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -1) + 5 - (-198 - -203).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 176 (base 13) to base 11.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -28*q - 1 + 20*q + 2 + q**2. Give u(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 305 and 122?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 divided by 290?\nAnswer: 16\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103958?\nAnswer: 2, 59, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11300130 (base 4) in base 3?\nAnswer: 1012100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2082633690 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3*g**2 - 3*g + 5. Let c be -2*1\/((-4)\/82). Let h = c + -46. What are the prime factors of x(h)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m. Let c be j(4). Let s = c + 13. Suppose 6 = -3*a, -5 = s*d - 4*a - 83. What is the highest common divisor of 35 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -99 (b) 5\/3 (c) -5 (d) -0.5 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/3)\/(q\/((q**(-7)\/q)\/q*q)*q))\/(q**2\/(q**(-1\/4)\/q*q)))\/(q*(q\/q**(1\/4))\/q*q*q*q**5)**(-6\/13) assuming q is positive.\nAnswer: q**(-1301\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -363*q*v**3 + 10*q*v**2 - 13*q - 4*v**6 + 3*v**2 wrt v?\nAnswer: -2178*q - 480*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -322?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7865 is divided by 108.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a**3 - 17*a**2 + 9*a + 10. Let c be x(5). Suppose m + 10 = 4*m + 2*j, 3*j + 4 = c*m. Sort m, -3, -10, -4.\nAnswer: -10, -4, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 42475.903 to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -699.\nAnswer: -704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 24202 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, x: 1, a: 1, u: 1, v: 1, i: 1}. Give prob of picking 1 v, 1 u, and 1 x.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 6:27 PM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1.14883 times 11\nAnswer: 12.63713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -3.91.\nAnswer: 1.564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 32\/3, -10\/11, -4?\nAnswer: 32\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22 * 46.\nAnswer: -1012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 12.14464 and -0.5?\nAnswer: 12.64464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -70 - -86. Let t be 3 + (-10266)\/(-36) + 5\/(-30). What is the highest common divisor of t and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6*a + 4 + (3*a - 5*a + 3*a)*(5 - 3 + 0) - 2 + 2 + 2*a)*(0 - 2*a**3 + 0).\nAnswer: -20*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 80331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253938 is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -0.12, -4\/3, -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + 34 + -1 + -48.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*h = -173*h + 1246 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 3:17 PM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 560 is divided by 53.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 5710?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q. Let p(l) = -164099*l. Calculate p(u(t)).\nAnswer: -164099*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -1. Suppose -d = -1 - x. Let r = -150.5 - -150. Which is the third biggest value? (a) 1 (b) d (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18*k**3 + 599*k**2*p**2 - 61908*p**2 wrt k?\nAnswer: -54*k**2 + 1198*k*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 526 - 526 + 4*s**5 + (-2*s**2 + 4 - 4)*(-2 - s**3 + 2).\nAnswer: 6*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53 = -3*y + 5*v, 393*y + 2*v = 398*y + 82 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 11*x**2 - 26*x + 15. Calculate d(-13).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-26)\/((-4732)\/148009470) + (148\/(-52) - -3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 4*z - 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 14 + 14)*(c - c - 2*c**3) + 0 + 0 + c**3.\nAnswer: -25*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b + 13. Let u be m(9). Does 8 divide u*2\/(4\/11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.388 - 0.098. Let c = 0.28 - 0.06. Let u = x - c. Sort u, 0.2, 2\/19 in increasing order.\nAnswer: u, 2\/19, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*w - 0*w. Let p(u) = -3. Let n(m) = m + 2. Let v(c) = w*p(c) + 3*n(c). Is 7 a factor of v(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202 - 678 = 107*l + 594 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 17*v**2 - 487*v - 70. What is the thousands digit of f(47)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 792030 is divided by 158404?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21749?\nAnswer: 7, 13, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 r when two letters picked without replacement from arrrrmaraa.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-4))**6\/(r\/(r*r*r*r**1))**(-28) assuming r is positive.\nAnswer: r**(-54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/3*(1*-1)\/(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 5) to base 12.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.11 greater than -3111?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 110*o**2 + o + 1. Is a(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i + 2. Let g be ((-1)\/4)\/(2\/(-16)). Let o be h(g). Suppose o = 3*s + 2*s - 135. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/1022 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24597 and 289404.\nAnswer: 790941132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 25738 + 14928. Suppose -m = -42861 - t. Suppose 3*a - 3*z + 47406 = 0, a + 3*z = -3*a - m. What is a rounded to the nearest 1000?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39b5 (base 16) to base 12\nAnswer: 8671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*a**5 - 625*a**4 + 15*a**3 + 1865*a**2 - 1250*a = 0. What is a?\nAnswer: -125, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16 by -12.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, y: 1, a: 3}. Give prob of sequence yf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 3*n**2 + 81624*n = 0.\nAnswer: -27208, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -6*n**2 + 148*n + 1343. Calculate t(-8).\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2313813 or -2313814?\nAnswer: -2313813","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 - 145*s + 121*s as u*s + r and give u.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3809155 is divided by 952278.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -16*y**3 - 5*y**2 - 59*y + 68. Let w be f(-20). Suppose 2*i - 3*h - w = -13402, -227688 = -4*i + 4*h. Round i to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 4*z**2 - 5*z + 5. Let r be b(5). Suppose -r*c = 32 + 13. Let l = c + 4. Let q(h) = h**2 + 6*h + 2. Determine q(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of 15681*v**5\/20 - v**4\/4 + 5*v**3\/6 - 3*v**2\/2 - 131*v. Let a be k(1). Round a to the nearest one thousand.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2890218 divided by -481703?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -21260 + 0.5\nAnswer: -21259.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 141 (base 10) to base 9.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.34 + 0.64. Let k = -1 - -2. Let z = 3 + -2. What is the nearest to k in z, n, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 9) in base 11?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 4*p**3 + 4*p**2 - 4*p - 4 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1109060?\nAnswer: 2, 5, 23, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 25*f**2 - 19*f - 142. Let d be b(26). What is the greatest common divisor of 25 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - 7. Let d = z - -14. Which is the third biggest value? (a) -1\/5 (b) d (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.26 + 0.26. Sort -2, 0.1, n.\nAnswer: n, -2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-6*(-5*(sqrt(1539) + -1) + -2))**2)*4.\nAnswer: -38880*sqrt(19) + 5541692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -7670440 to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1135 + -1123. Suppose 0*z - 3*z - 9 = 0, 4*q - 79 = 5*z. Suppose 3*h - 13 = -4*y + 15, 2*h + 2*y - q = 0. Solve -h*a + a = b for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(50\/3)*23\/(-2415)*20?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 8*y + 76. Determine g(17).\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 11:46 AM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**4\/3 - 4*g**2 + 8*g\/3.\nAnswer: 4*g*(g - 1)**2*(g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 879 (b) -8 (c) 1 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16 - -11?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -1982*k**2\/3 - 195558*k - 592\/3 = 0.\nAnswer: -296, -1\/991","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pz when two letters picked without replacement from ppzpppwheeen.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of b**4\/4 + b**3\/3 + b**2\/2 - b. Let v be d(-1). Suppose v*l + 0 = 18. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/1400 and -61\/56?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 3, 1\/7, 4, -1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -154 - -338. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 p when two letters picked without replacement from {p: 4, h: 7, o: 2, s: 2, r: 2}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 7*i**2 - 11*i. Let p be a(-5). Solve 2*m + 4 = 5*h - 2*h, -2*h - p*m + 9 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 3668*l + 16 = -3669*l - 10, -14 = -2*v + 4*l for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**0)**(-42\/5)*(r**(-1\/3)*r)**(15\/7) assuming r is positive.\nAnswer: r**(10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = g + 44. Let v(m) = 21*m + 79. Does 16 divide v(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*(-9)\/(-30)*-10. Let g(l) = -5*l + l**2 + 14*l - 2*l**2 + 9 - 12. Does 15 divide g(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 2*o - 5, -11 = 2*q - 5*q + 5*o. Is (-1070)\/(-5) + 1*q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 307904 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25\/3 + -8. Let u(j) = j**2 - 5*j + 6. Let x be u(3). Which is the second smallest value? (a) -3\/7 (b) x (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 101 - 57. Suppose 3*v - 229 = -181. What is the remainder when j is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -356 - -356.45. Round t to 2 decimal places.\nAnswer: 0.45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -2 - 16. Does 6 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -4*m + 5*w - 5, 2 = -2*w for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, e: 3, u: 1, f: 3, b: 3}. Give prob of sequence ff.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*5\/20*(-424)\/(-5777). What is the second smallest value in -2, 0, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 288 and 160.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 87*r**2 - 7*r + 9. Let i(u) = 58*u**2 - 5*u + 6. Determine 7*i(p) - 5*z(p).\nAnswer: -29*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14*(-7)\/392)\/((-2)\/16).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 2*a - 3*c + 39, -2*a - 47 + 839 = 36*c for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39\/(-567) - 1*(-12 + (-166)\/(-14))?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -2.01013472\nAnswer: -0.402026944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 6:27 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-4) - 275\/(-10). Let m be 1\/(-4) - v\/(-8). Find the first derivative of -2*s + 3 - s**2 - s + m*s wrt s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 725357201 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.036982*1.\nAnswer: -0.036982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 2 = -2*k. Suppose 3*d = -15, k*n = -4*d + 5*d + 29. Find the common denominator of -74\/9 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -ab0349 (base 13) to base 8\nAnswer: -17272425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1096388 times 0.5?\nAnswer: -548194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.9735851 * 0.1.\nAnswer: -0.49735851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 15\/6*-59*(-34726)\/(-86815)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a. Let x(b) = -15*b**2 + 7*b - 30. Let p(c) = -2*v(c) - x(c). Is 43 a factor of p(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -11.999964. Round y to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3231 + 1735 - 4582 = -259*o + 11275 for o.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 0*q + 56 = -4*q, 4*i - 70 = 3*q. Let t = -15 + i. Is 3\/22 greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1295*n + 12773 + 3024 = -2333 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17875219 to the power of 1\/2, to the nearest integer?\nAnswer: 4228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - 84\/(-7 - -3))*5. Let z(t) = -703*t**3 - 95*t**2. Let j(f) = 22*f**3 + 3*f**2. Give h*j(a) + 3*z(a).\nAnswer: -19*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*k + 6908 = 38*k. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -0.8226, 1\/4 in descending order.\nAnswer: 1\/4, -0.2, -0.8226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 4. Let i = -3 - -2.6. Let j = 1 - 0.8. Sort j, i, r in ascending order.\nAnswer: i, r, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2126 is divided by 108.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5881732l in millilitres?\nAnswer: 588.1732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(220\/(-3)))\/((-972)\/4050).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s. Let w(f) be the second derivative of 43*f**4\/4 - 265*f - 3. Give p(w(j)).\nAnswer: 258*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 5*y. Let k be f(1). Let q = k - 0. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xbbcfknc. Give prob of picking 1 c and 1 x.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -3. Solve n*h = 1 - 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -32*r**2 - 652*r + 1969. Determine c(3).\nAnswer: -275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/30 and -20\/233991.\nAnswer: 2339910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of n**6\/120 - n**5\/10 + n**4\/4 - n**3\/3 - 12*n**2. Let i be v(5). Solve 2*h + 15 = -i*q, -5*h - 3 = -q - 8 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 26235.116 and 291274.\nAnswer: 317509.116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5 and -5831.7948.\nAnswer: -5836.7948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 593 is divided by 82.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 1:49 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 124\/(-32) - 205\/(-328).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of -n**8\/84 + 496*n**7\/105 - 3444*n**6\/5 + 591712*n**5\/15 - 551368*n**4\/3 - 256*n**2. Factor w(y).\nAnswer: -4*y*(y - 82)**3*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -205, -170, -131, -88, -41, 10, 65?\n\"Answer: 2*m**2 + 29*m - 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 285.9 - 286. Let p = 0.3 - -0.2. Let v be (-1*3\/(-2))\/(-3). Which is the biggest value? (a) p (b) j (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114884258.\nAnswer: 2, 57442129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/9 + 49840*x\/9 - 49846\/3.\nAnswer: 2*(x - 3)*(x + 24923)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 7405 = s + 7403, -5*n = 4*s + 28 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + n + 187 = 0, 3*l - l + 106 = 2*n. Let i = 1 + 11. Does 14 divide l\/i - (-128 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97476, 194216, 290956?\nAnswer: 387696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 78*p**2 + 9*p = 0.\nAnswer: -3\/26, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5*k + 5*h + 25 = 0, -k = 3*h + 15. Suppose -4*y + d = -d - 24, 2*y - 2*d - 12 = k. Suppose -2 - 13 = -3*r. Which is smaller: y or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/1217 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 9*b**3 + 7*b**2 - 34*b - 18. Let k be x(6). Suppose 0 = -5*c + 3*c - l + k, -3*c - 2*l = -2962. What are the prime factors of c?\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 83644224?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6, -69, -250, -609, -1206, -2101, -3354?\n\"Answer: -10*k**3 + k**2 + 4*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1090189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -611 + 1052. Is h a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence no when two letters picked without replacement from wilnwowiglow.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*o**3 + 27*o**3 + 48*o**3 - 7*o + 106*o**3 + 29*o**3.\nAnswer: 220*o**3 - 7*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - 10*u**2 - 9*u + 27. What is the units digit of z(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -143, -122, -89, -44, 13, 82?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -138 - 220?\nAnswer: -358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -2, -19 in ascending order.\nAnswer: -19, -5, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -9*r**2\/2 - 180. Let p(z) = -12*z**2 - 9*z + 9. Let b(h) = 3*h**2 + 2*h - 2. Let j(u) = -9*b(u) - 2*p(u). Determine j(y(w)).\nAnswer: -243*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -11*i - 90 + 68 + 5*i**2 + 4*i**2. Let y be p(-2). Calculate the greatest common divisor of y and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 48\/36*((-23)\/(-2) - -2). Let v = q - 14. What is the highest common divisor of 16 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*s - 270 + 909. Let l = 17 + s. Let w be l\/(-70) + (-8)\/14. What is the biggest value in -0.07, -0.5, 0, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + -77\/4. Which is the nearest to 4? (a) 5 (b) -2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 10*a - 4. Let g(x) = -3*x + 1. Suppose 3*j - p = -5, j + 4*p - 4 = -3*j. Let o be (((-14)\/1)\/(-1))\/j. Determine o*g(t) - 4*r(t).\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*r + 58 - 2 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1702507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40922, 40898, 40874, 40850, 40826, 40802?\nAnswer: 40778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sgc when three letters picked without replacement from cggqsisicccgsqgq.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71227625?\nAnswer: 5, 7, 29, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 4*u - 2 - 4*u)*(-7 + 7 + 3).\nAnswer: 6*u - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - 156*n + 327. Let a be b(-40). Is a greater than 4966?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 48, -42 in increasing order.\nAnswer: -42, -4, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pttdwpspdshd. What is prob of picking 2 p?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16714 and 12871.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -396565, -1586232, -3569009, -6344896?\nAnswer: -9913893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/303456 and 61\/245904?\nAnswer: 14262432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3*h**2. Let a(b) = -6*b. Suppose c - 31 = -4*r, -3*r + 2*c + 12 = 5*c. Let z(n) = 6*n. Let s(y) = r*a(y) + 6*z(y). Calculate s(q(k)).\nAnswer: 54*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f + 11. Let x be d(-9). Let b(u) = 6*u**2 - 3*u + 1. Is b(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 36*a**3 + 34*a**2 + 5*a - 5. Let w(y) = 54*y**3 + 51*y**2 + 8*y - 8. Let t(n) = 8*f(n) - 5*w(n). Find the third derivative of t(x) wrt x.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 + 2*t**2 - 2*t**2)*((-t + t - t**2)*((0 - 2 + 0)*(-1 - 2*t + 1) - t + 3 - 3 + 24*t + 2*t - 2*t) + (-68*t - 21*t + 13*t)*(-t**2 + 0*t + 0*t)).\nAnswer: 49*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 46444628 - 0.0941\nAnswer: 46444627.9059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2003316678?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.07, 1\/8, 1\/5, 0, -0.9?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of 887*z**2\/2 + 949*z - 1343. Differentiate u(w) with respect to w.\nAnswer: 887","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 5*p - 445 = 0. Let z = 130 + p. Let h(r) = -r**2 - 10*r. Let c be h(-8). Solve -5*g - z + c = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = -4*l + 110. Calculate the lowest common multiple of l and 14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27076209 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: Is 2 greater than or equal to 3047?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 77*j - 185. Let g be y(-60). What is the highest common divisor of g and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/857814 and -6\/17 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 746233?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 234 - 231. Is 2 + 307 - (0 + (k - 1)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q - 2. Let p be m(6). Suppose -82 = -p*x - 94. Suppose 0 = g - 2 + 3. Which is the smallest value? (a) -5 (b) g (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f**2 + 6*f + 6. Let h be z(-4). Let g be (-20)\/6*h\/5. List the prime factors of ((-27)\/(-36))\/((-1)\/g).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 779804220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*m**3 - 36*m**4 + 39*m**4 + 8*m**3 - 51*m**2 - 7*m**3 in the form g*m**2 + x*m + j*m**3 + z + r*m**4 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u. Let z(f) = 47*f + 3. Determine 2*j(d) - z(d).\nAnswer: -45*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2774 and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5757 + -529649\/92. Find the common denominator of v and 23\/12.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 9201885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -3*b**2 + 3180*b - 3177 = 0.\nAnswer: 1, 1059","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {d: 10, y: 4}?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 217966.28*-0.4.\nAnswer: -87186.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -5 - (1 - -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 9:30 PM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 776594 or 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c\/((c*c*c\/c**25*c*c*c)\/c))\/c*c*c))\/c**(-13))\/(c**(1\/4)*c**(-27)) assuming c is positive.\nAnswer: c**(75\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -8*j**4 + 79*j**3 + 1663*j**2 - 12399*j + 19872. Let c(x) = -x**4 - x**3 + x**2 + x - 1. Let p(u) = -18*c(u) + 2*s(u). Factor p(w).\nAnswer: 2*(w - 3)**2*(w + 47)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 44*v**3 - v**2. Suppose 2 = -t + 3. What is the remainder when z(t) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-2) - 12\/(-12). Suppose -c = 3*c - 4. List the prime factors of (4\/d)\/(c\/4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -258343557*k*m**2 - 123627*m**2 - 3*m + 85 wrt k.\nAnswer: -258343557*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 946 = 12*o - 1058. Let b = o - 163. Solve -24 = -b*d - 4 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 8362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 88 and 124.\nAnswer: 2728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -233 - -2663.\nAnswer: 2430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3*o**2 + 2*o. Let k(w) be the first derivative of -w**4\/4 - 4*w**3\/3 + 3*w**2\/2 + 1. Calculate 2*k(n) - 3*r(n).\nAnswer: -2*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -5\/1457469?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -8 - 12. Suppose -4*p = o - c, 3*p + 3*o + o - 16 = 0. Suppose 2*f = -p*f + 122. What are the prime factors of f?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/2 (b) -1 (c) 0.5 (d) -5\/24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2247059?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 33 - 7 + 95*g - 92*g. Let z(f) = 10 - 3*f + 17 + 7*f + 0*f. Let m(h) = 5*o(h) - 4*z(h). What is the derivative of m(p) wrt p?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44 - -34 - 18\/((-6)\/2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*h**2 - 2*h**3 + 70*h**2 + 16*h + 5*h**3 - 40*h**2.\nAnswer: 3*h**3 + 16*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 379*b + 265. What is the hundreds digit of c(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21 - (-31 - -41)) + -24\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 227387?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 35192 a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjb. Give prob of sequence jj.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a - 28?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1)*v**0*(v*v**(1\/3))**(-1\/56)*((v**(-1\/4)\/v)\/v)**(2\/5)*((v\/(v\/(v\/(v\/((v**(-1\/4)\/v*v)\/v*v)))*v))\/v)\/(v**(-3\/4)\/v) assuming v is positive.\nAnswer: v**(-509\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 337724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10434, -10433, -10432, -10431, -10430?\nAnswer: -10429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*a**5 + 5*a + 88*a**2 - 38*a**5 + 40*a**3 - 30*a**4 - 58*a**2 = 0. What is a?\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 61 + -61.4. Let w = 2.6 - s. What is the second smallest value in w, -2, -10?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 124, 136, 156, 184, 220, 264, 316?\nAnswer: 376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + (3\/(-2))\/((561\/110)\/(-17))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 248\/25 + (-44)\/(-550). What is the greatest common factor of 40 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -3*c + 8, -2*p + 12 = -p - 2*c. Suppose -o + 4 = -5. What is the third derivative of u**4 - u**p + o*u**2 + 0*u**5 - u**5 wrt u?\nAnswer: -60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 10 + 7)*(1 - 2 - 1)*(-29*r**4 + 202 - 202).\nAnswer: 580*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of 9\/2*q**3 + 19*q**2 + 35*q + 1\/12*q**4 + 0. Does 3 divide c(-26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -111564, -111511, -111422, -111297, -111136, -110939?\nAnswer: -110706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*y - 35 + 35 + (2 - 7 + 2)*(2 - 2 - 2*y) + (-2 + 2 + y)*(-1 + 4 - 1) - 6*y + 2*y + 3*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 75219*g - 37606*g - 37608*g - 65*g**2 + 1 in the form n + u*g + c*g**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 12. Let b = 7 + w. Let x = 8 + b. Solve 2*l = -x*l - 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13.100102569864 - 1.5.\nAnswer: -14.600102569864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 14, 2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 25 = 6*m + 5*v, -v = 5. Let w(n) be the third derivative of m + 0*n + 1\/3*n**3 - 1\/4*n**4 + 4*n**2. Calculate w(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10352 + -9364. Let a be 2*(-1 + 9\/2). Suppose a*z - r = 5*z - w, 5*w - 503 = -z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 382?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-16) + 114\/24.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 575*s**3 + 485.\nAnswer: 1725*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 + 26. Suppose -k + 6 + 8 = 3*b, b - k - a = 0. Suppose 6 = -q + b*q - u, -q = -u. Is 2 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32429?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/((3 + -2)*2\/(-2)). Let f be (6 + -7)\/((-8)\/6 - v). Suppose -6580015 = -t + f*t + 3*b, b = t + 3289995. Round t to the nearest 100000.\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5822338050?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -45*w + 88*w - 44*w. Let n(i) = 11*i. Let t(r) = 18*j(r) + 2*n(r). Let q(v) = -v**2. Calculate t(q(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/23, 32, 0.4?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/74 and 17\/134976?\nAnswer: 134976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.99 + -1.\nAnswer: 2.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.02, -5, 0.07, 17?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 3*w - 192 = 126, -q - 5*w = -90. Suppose -3*u + 1 + 2 = 0. Put u, q, 0.5 in decreasing order.\nAnswer: q, u, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/v**(5\/2)*v\/v**(-10)*(v\/(v*v\/v**(5\/6)))\/v**(-1\/2) assuming v is positive.\nAnswer: v**(59\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 2*j = 24, 0*j = -5*j + 20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -588716?\nAnswer: 588712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m + 3401 = m + 5*v + 3222, 2*v - 12 = -3*m + 57 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -237 divided by -79\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/14)\/(5\/35).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9ed27c - a4?\nAnswer: -9ed331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of -s**4\/24 + 3*s**3\/2 + s**2. Let g be a(5). What is the first derivative of x**3 + x**3 - 1 - 5*x**3 + g wrt x?\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59854784557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/(-3) - 20217\/1465\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - -1196453363.09811.\nAnswer: 1196453358.09811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 12317.6+3434.822438\nAnswer: 15752.422438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11111010101000101101010 - 0?\nAnswer: -11111010101000101101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7983?\nAnswer: 3, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5*1\/5 + 17. Suppose -d - 23 = -4*x + t, -2*t = 4*x - 26. Is 9 at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/2 + (21 - 19). Let b be -4*5\/30*w. Let a be b\/34 + (-26)\/(-221). Sort -2\/13, -2\/3, a, -5 in decreasing order.\nAnswer: a, -2\/13, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**5 + 2*p**3 + 6 - 2*p**3 + (3*p - 3*p + p)*(-9*p**3 + 9*p**3 - 4*p**4) + (-3*p**2 - 2 + 2 + (4*p + 0*p - 3*p)*(-4*p + 2*p + 3*p))*(p**2 - p**3 - p**2).\nAnswer: -p**5 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 87001 times -66.9\nAnswer: -5820366.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 10194.\nAnswer: 10194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (32\/(-40))\/(2\/(-70)). Suppose 3*a + 0*i + 53 = i, 0 = -2*a - 3*i - v. Is a less than or equal to -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**27\/k)\/k)**(-4\/17) assuming k is positive.\nAnswer: k**(-100\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 9002 (base 11) to base 6\nAnswer: 131245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -262, -559, -856?\nAnswer: -1153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1491)\/567 - (6\/9)\/(-2) and 44\/51.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 366, 682, 998?\nAnswer: 1314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -12182, -1, 35, 3 in decreasing order.\nAnswer: 35, 3, -1, -12182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0 + 2 = 0. Let c be (32 - 29)\/(f\/(-8)*3). Sort 16, -2, c in decreasing order.\nAnswer: 16, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 13*m**2 - 4. Let j(v) = -8372*v. Give j(d(u)).\nAnswer: -108836*u**2 + 33488","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/4 + 117*g**2\/2 - 77*g\/4 - 9087.\nAnswer: -(g - 233)*(g - 13)*(g + 12)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6110133, -24440506, -54991121, -97761972, -152753053, -219964358?\n\"Answer: i**3 - 6110127*i**2 + i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 35\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*y + 10 = 9*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 70447750 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: What is the thousands digit of 9897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 90545563?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 9*z**2 - 14*z + 13. Calculate q(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-10) - (-68)\/(-10). Let p(v) = v**2 + 5*v - 10. Let z be p(d). Let q = -36.9 + 37. Which is the closest to 1? (a) q (b) z (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/86, 2\/13, 0.4, -96?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and 18129.\nAnswer: 18134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*s = 8*s - 18, 3*s = 3*o + 9. What are the prime factors of o + 200\/((-8)\/(-2))?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2991 and 9970?\nAnswer: 29910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 3*p + 3*g + 200968, 0 = 2*p + 6*g - 401972. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -436 - 8.8\nAnswer: -444.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 56 = 4. Let d(y) = -2*y**3 - 3*y**2 - 3*y - 2. Calculate the least common multiple of k and d(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*i + 3577 - 1762 = 0. Suppose 3*c - 58 = c. Is i smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -96, -131, -164, -195?\nAnswer: -224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 0)*(-9*t + 3*t + 4*t)*(3*t**4 + 6 - 6).\nAnswer: 6*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1276)\/(-198))\/29)\/((-6)\/9).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 + 5*h**2 - 5*h + 4. Let f be y(4). Let x(l) be the third derivative of f*l + 1\/24*l**3 + 0 + 1\/240*l**5 + l**2 + 1\/48*l**4. Factor x(o).\nAnswer: (o + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27 - 152*m**4 - 14*m**4 - 25*m**4 wrt m.\nAnswer: -764*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -4*a**3 - 4*a**2 - 3*a. Let l(o) = 3*o**3 + 4*o**2 + 3*o. What is -6*l(w) - 5*v(w)?\nAnswer: 2*w**3 - 4*w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3 - 6288*z**2 + 6292*z.\nAnswer: -4*z*(z - 1)*(z + 1573)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 - 32 = 5*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.05 (b) 121\/12 (c) 2\/87 (d) 2 (e) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 0 = 12, -5*z + 15 = -3*w. Suppose 2*p - 152 - 592 = w. Suppose -5*r + 3*m = -p, 0*m - 3*m + 378 = 5*r. Is r a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 9*m**3 + 5*m**2 - 3*m - 3. Let g(x) = -8*x**3 - 4*x**2 + 2*x + 2. Let n(z) = -3*g(z) - 2*k(z). What is the third derivative of n(t) wrt t?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 13. Let s = 7 + -16. Let c = s + z. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76 and 72.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(((6 - 9)\/((-9)\/6))\/(-2)). Put o, 28, -6 in increasing order.\nAnswer: -6, o, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -28 or -19.01085?\nAnswer: -19.01085","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z + 9. Let v be g(-6). Let w(a) = -a**3 + 3*a**2 + 3. What is w(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 6*y - 10*y + 356 = 0, -4*l = -3*y - 745. Is l a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 5*n. Let s be d(6). Suppose 120 = 3*f + 12*j - 15*j, 2*j - 40 = -f. Suppose -4*o - f = -4*k, -k = 2*o + o - s. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - -9. Let n = 3 + u. Suppose -3*r + 5*w - n = -8*r, -9 = -3*r + w. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 79561442?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 1 = 3*r + 15, r = 4*x. Let n = 1 - r. Solve -n*k = 3*j + 20, k + j = 3*j + 9 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 14*t = 15. Suppose 2*a - 1 = 2*n + 1, 0 = -3*a - t*n + 15. Let x = 16 - a. Solve -2*f = 4*j - 4*f + 28, -j = -2*f + x for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 25 - 9)*(-1 + 1 + 10*c) to the form q*c + h and give q.\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - 12) + (0 - -3) + -2 - -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6473, 25804, 57929, 102848?\n\"Answer: 6397*v**2 + 140*v - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -473 - 1276*v + 473 in the form o*v + l and give o.\nAnswer: -1276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -1) + (-298)\/40. Let x = n - -31\/4. Find the common denominator of (4\/(-6))\/((-40)\/294) and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i + 5. Let s(x) = -4*x - 1. Let f = 7 + 1. Let y = f - 7. Let d be s(y). What is w(d)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/2 + -4 + (-635)\/(-5). Suppose q - x = -104. What is the remainder when 39 is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.78145 millilitres in litres?\nAnswer: 0.00978145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -8*d**2 - 6*d + 6. Let o be (-5 - 5)\/5 + -3. Let w(r) = 9*r**2 + 7*r - 7. Determine o*w(h) - 6*c(h).\nAnswer: 3*h**2 + h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1947628 divided by -9\nAnswer: 1947628\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1342 a factor of 105113492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 + 8 + 2*g - 8)*(-126*g + 126*g + 6*g**3).\nAnswer: -6*g**5 + 12*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 0*v + 0*v)*(-1950*v - 519*v + 228*v).\nAnswer: 6723*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -1216110\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143164?\nAnswer: 2, 7, 5113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2007 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 778 = -2*d + 134, 2*t - 3*d = 330. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a tonne in kilograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-2)*(-3)\/6*6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 3879936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 21. What is the remainder when 27 is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0209365321 to three decimal places.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/2 - 147\/(-14). Calculate the highest common factor of a and 110.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71 = 56*j - 15 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33224\/21 + 1582. What is the nearest to 4\/11 in -0.1, -1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 300\/525*(-7)\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8298 is divided by 553?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b**2 + 20. Let k(i) = -8*i**2 - 7. Let q(z) = 7*z**2 + 7. Let x(a) = -6*k(a) - 7*q(a). Calculate -17*x(h) - 6*y(h).\nAnswer: -h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -11605000 rounded to the nearest 100000?\nAnswer: -11600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 1 = -4*p - 5, p = -1. Suppose q*b - 960000 = 3*b. Round b to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 832 + -832.14. Sort w, 3\/5, 2\/15, -5.\nAnswer: -5, w, 2\/15, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(4041\/(-808) - -5) a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.7 and 0.413845.\nAnswer: -0.2896915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 26095986 and -3.\nAnswer: 26095983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 8. Differentiate -22*l**3 - 5*l**2 + 23*l**3 - 9 + y*l**2 with respect to l.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 5 (b) 2\/11 (c) 1\/4 (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*i + 2*i**2 - 1 - 7*i - 6*i + 2*i**2 - 2*i**2 + i**2 + (4*i - 4*i - i)*(0*i + 5*i - 3*i) to m*i**2 + d*i + k and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-208)\/234*(-15)\/4 + -3. Let m(h) be the first derivative of 0*h**2 + 0*h + 0*h**3 - 3 + 0*h**4 + 2\/5*h**5 - s*h**6. Find q, given that m(q) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - a**2 + a - 2. Let k be 0*(-1 - (-3 + 1)). Let l be d(k). What is the remainder when (-2 - -47)*(l - -3) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1197)\/(-231) + (-2)\/11. Put l, -5, -4, -10 in descending order.\nAnswer: l, -4, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + v)*(-4 + 3 + 0) - 10*v - 22 + 22 + v + 1 - 1.\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 23334441?\nAnswer: -23334434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in two fifteenths of a minute?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2149472.\nAnswer: 2, 13, 5167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21.38 * 13.\nAnswer: -277.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {v: 8, j: 5}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4697, -9386, -14075?\n\"Answer: -4689*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -m + 25. What is the second derivative of 63*x**5 - 44*x**m - 3*x - 45*x**5 wrt x?\nAnswer: -520*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14443630 (base 9) in base 7?\nAnswer: -114656040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 212983?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 82f?\nAnswer: -830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 5*m - 31 = -193, -4*d - 2*m - 70 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/73833 and 30\/31?\nAnswer: 2288823","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - y - 2 = 0. Suppose y*q - 1 + 11 = 0. List the prime factors of 1\/q - 231\/(-5).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 s when four letters picked without replacement from {y: 1, c: 1, s: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4268 and 3.\nAnswer: 1.2804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**3 - 2*z**2 - z - 2. Let s(d) = 6*d**3 + 5*d**2 + 4*d + 6. What is -2*s(t) - 7*y(t)?\nAnswer: 2*t**3 + 4*t**2 - t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 11. Suppose 2*c - 5 = -v. Calculate the remainder when 6 is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 947626834 to the nearest integer?\nAnswer: 982","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of w**2 - 2. Let b(g) = 3*g. Let p(r) = 7*r - 2 + 2. Let k(u) = 5*b(u) - 2*p(u). Give z(k(v)).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1072 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3*o = -0 - 3, -3*o - 3 = -3*y. Let w(a) be the third derivative of y - a**2 - 1\/7*a**4 - 4\/21*a**3 + 0*a - 3\/70*a**5. Factor w(i).\nAnswer: -2*(3*i + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 4*5*3*(3 + -1*sqrt(300)) + 4)**2*3.\nAnswer: -658800*sqrt(3) + 3340467","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(5\/6)\/(r\/(r**(-1\/2)*r))*(r**(-2\/7))**(6\/11) assuming r is positive.\nAnswer: r**(41\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 107*z**2 - 1738*z + 168. What is g(-87)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.3 - -0.3. Let r = 67 + -69. Let u = w - r. Is u smaller than 8\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2\/13, -1917, 3 in descending order.\nAnswer: 3, -2\/13, -3, -1917","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 32 + 28 = 4*q, -4*q + 3*w = -28. Let r = -8 + 33. Suppose 5*m + q = r. Solve y - 2*n = -m*y - 6, 5*y - n = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31204441 (base 5) to base 3\nAnswer: -111001100202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1116516270.\nAnswer: 2, 3, 5, 571, 65179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 19, 1, -1, -1\/7 in increasing order.\nAnswer: -1, -1\/7, 1, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.883177 to 1 decimal place.\nAnswer: 6.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 7, -0.4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3413 - -15486. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4*s**2 - 2*s + 1. Suppose -5*f + o + 45 = -4*o, 5*f = 3*o + 49. Suppose 3*n - r = f, -5*r = n - 0*r + 23. What is l(n)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7a8b1 - 5?\nAnswer: 7a8a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 278 = o, 3*a = 4*o - 538 - 514. What is the least common multiple of o and 28?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 282*q + 285*q + 7 = 0, 0 = 5*t + 4*q + 7 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of 5*h**3\/3 + 5*h**2\/2 + 9. What is the second derivative of o(d) wrt d?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -475 by 25.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 136 and 133 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8274053, -16548109, -24822165, -33096221?\n\"Answer: -8274056*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-8)*200\/150. Solve -16 = -2*k - 5*a, -4*a - a + o = -3*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 767.\nAnswer: 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 7, j: 1}. What is prob of sequence bjbj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3496 divided by -874.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1101560, 2203570, 3305580?\n\"Answer: 1102010*i - 450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in six fifths of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5d - -70?\nAnswer: cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1312 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6425 - 3245. Calculate the lowest common multiple of 22 and d.\nAnswer: 34980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 5*u = 4 + 9, u + 5 = 0. Suppose 0 = -0*k + 4*k - 12. Solve -k*x = -4*o - 12 + 36, -x = -5*o + m for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6926 - -7018. What is the lowest common multiple of 128 and j?\nAnswer: 2944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 5*m = -15, 2*c + 3 = -2*m + 9. Put c, -3, 4, 1 in ascending order.\nAnswer: -3, c, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46 - -50)\/((-20)\/12)*175\/14?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200 is divided by 86.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 8*o**2 + 17*o. Let l(d) be the third derivative of d**5\/20 + d**4\/4 + d**2. Suppose -i + 4 + 7 = 0. Suppose 2*z + 3*z + 20 = 0. Give i*l(f) + z*j(f).\nAnswer: f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u**10)**(-8\/5)*((u**7\/u*u)\/u)\/(((u**(2\/55)\/u)\/u)\/u))**(-19\/5) assuming u is positive.\nAnswer: u**(10697\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 289024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21551 and 1081?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 11:31 AM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 2\/51759?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10 - (-370)\/40)*4\/(-1). Solve -b*p = -31 + 46 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.6 + 2.4. Let r = 3.1 - b. Let u = -2.2 - 0.8. What is the second smallest value in u, r, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -57, 4 in descending order.\nAnswer: 4, -6, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 14693192.\nAnswer: 1\/7346596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*j + 20*j + 5 + 40*j - 7*j + 8*j.\nAnswer: 49*j + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2*(0 + sqrt(27) + -1 + sqrt(3)))**2 - ((1 + sqrt(363))**2 - (sqrt(27)*2)\/sqrt(9) - (sqrt(30) - sqrt(1470)*1)\/sqrt(10)).\nAnswer: -171 - 58*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 r when three letters picked without replacement from {d: 4, r: 2, o: 2, l: 1, f: 3, x: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.04, -0.6, 0.5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -9148515, -3, 7 in decreasing order.\nAnswer: 7, -3, -9148515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 39 * 59872.\nAnswer: 2335008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -1, 67, 13 in increasing order.\nAnswer: -5, -4, -1, 13, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 3\/5 (b) 2 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20241321114 (base 5) to base 13.\nAnswer: 4380a8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 250 - 1620 = 0. Suppose 11*y - k = -0*y. What are the prime factors of y?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -67194 (b) -0.1 (c) 3 (d) -5 (e) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**4*q**4)\/((q*(q*((q**2*q)\/q*q)\/q*q)\/q)\/(q*q**(-3\/5)\/q*q)) assuming q is positive.\nAnswer: q**(22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(7\/4)\/o*o*o*o*o**(-20)*(o\/(o\/(o**(5\/2)\/o)))\/(o\/((o\/(o\/(o*o\/(o\/(o*o**(-6\/23)*o*o))*o)))\/o)*o))**(-35) assuming o is positive.\nAnswer: o**(38675\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 2\/159, 1, 23.\nAnswer: -2\/7, 2\/159, 1, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3*h + 4*m - 150, 3*h - 2*m = 150. Suppose 0 = -0*i - 2*i - 4*j + h, -3*j - 5 = -i. What is the remainder when 66 is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 7*o**2 + 6*o + 3. Let s be j(7). Suppose -1576 = -43*k + s*k. Let p = 2259 + k. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 35 + -104?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 2*i + 41, n - 47 = -0*i - 4*i. Suppose p - 26 = n. Round p to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*n + 7*n + 76 = 1223. Suppose 0*r = 5*r - 55. Let i = r + -3. What is the remainder when n is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 15) + (5 + -3 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/39039 and 89\/11154?\nAnswer: 78078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 566316 - -33?\nAnswer: 566352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-18)\/6)\/(-12))\/(3\/(-4)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 178063 to the nearest integer?\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 325848 divided by -27154.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 12446, 53982, 123198, 220094, 344670, 496926?\n\"Answer: 13840*f**2 + 16*f - 1410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 979*p. Let o(u) = -u**2. Give c(o(a)).\nAnswer: -979*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.67 + 1.74. Which is the third smallest value? (a) v (b) 0.2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 611800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 4*u - 4 = 0, 5*u = -4*b - 1 - 3. Suppose x + 2*x - 3*a - 4686 = 0, -b*x + 3*a = -6245. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(16\/3)*z*z**34 assuming z is positive.\nAnswer: z**(124\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 3*g**3 + 26772*g**2 + 59728332*g = 0.\nAnswer: -4462, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6195\/(-531)*36\/10?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a centimeter in micrometers?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 444*2.\nAnswer: 888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23382 is divided by 377?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -7*j. Suppose j = o + o + 50. Let d be (-2)\/10 + (-2005)\/o. What is the greatest common divisor of d and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110267*c**3 - 425118*c**3 - 7091*c**3 + 23467*c**3.\nAnswer: -519009*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3410, -3423, -3436, -3449, -3462?\nAnswer: -3475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 5*l**2 - 4*l + 5. Let g be c(-4). What is the common denominator of 1\/(g\/13 + 0) and 1 + (-770)\/(-60) - (3 + -8)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 673955512 and -161573?\nAnswer: 674117085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 283*d - 506. Let k be g(3). What is the highest common factor of 7 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5 = -u. Suppose 3*n + 2*n = -u*w - 15, -3*w - n = -1. Find the third derivative of -m**2 - m**w + 2*m**6 + 3*m**2 wrt m.\nAnswer: 240*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-164)\/369 + 165244\/9 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254824126 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -r**4\/14 - 172*r**3\/7 + 519*r**2\/7 - 520*r\/7 - 1501. Solve c(h) = 0 for h.\nAnswer: -260, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10596 and 71017924?\nAnswer: 3532","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**4\/3 + 9163*o**3\/3 + 653843*o**2\/3 - 6443899*o\/3 + 4909140 = 0. Calculate o.\nAnswer: -9091, -81, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/11)*o**(-12))**23)**(-25) assuming o is positive.\nAnswer: o**(76475\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12768 and 5665344?\nAnswer: 1824","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/5 of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + (-2)\/4)*4. Let o(x) = 3*x - 9. Let n(s) = -s**2 + 4*s - 11. Let m(j) = -4*n(j) + 5*o(j). What are the prime factors of m(v)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/6 (b) -0.3 (c) -18 (d) -102\/79 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 2*h - 3*h + (6*h + 2*h - 39*h)*(-4 + 0 + 1))*(3 + 1 - 2).\nAnswer: 180*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*c - 12. Suppose b + 1 = 3*w, -41 = -5*b - 3*w - c. Let s(x) = -x**3 + 7*x**2 - 5*x - 11. What is the tens digit of s(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a (base 11) to base 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 640 + 1.73399791.\nAnswer: 641.73399791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -4806*m - 62326. Calculate c(-13).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -12*t + 1. Let u = 1 + -11. Is 11 a factor of z(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373871.2 millennia in decades?\nAnswer: 37387120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l + 173. Suppose -7 = 4*z - 27, 3*q + 139 = 2*z. Is 11 a factor of b(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 2, -22, -24\/5, -0.5 in ascending order.\nAnswer: -22, -24\/5, -0.5, 2, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 1967, 2196 in descending order.\nAnswer: 2196, 1967, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-1) - 2 - -6. Suppose 3 = g + 4*j, g + g - 3*j - o = 0. Solve -3*l = 9, 0 = -g*i - 5*l - 8 - 16 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23433\/10 or -2344?\nAnswer: -2344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 299 = -1061. Suppose 2*l - 2148 = g. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -4\/7, -5, 54?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - 5*a**2 + 8*a - 38. Let p be o(-7). Suppose 0 = i + 5, 3*i - p = -2*z - 21. Is z equal to -4\/433?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 5 = -2*v. Let r be ((-3)\/6)\/v*0. Let c(l) be the first derivative of l**3\/3 + l**2\/2 + 7*l + 3. Calculate c(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5461 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.19 in 1\/9, 1\/5, -4\/5, 3\/5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -3*u - 126, 40*u - 68 = -3*j + 38*u. Suppose 0*l = 2*l - 6. Differentiate 4*d**l - 26*d**3 + 7 + j - 10 wrt d.\nAnswer: -66*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/20 and -41\/428?\nAnswer: 2140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.8 - 1.1. Let x = -2.3 + 2.9. Let g = -3.4 - x. What is the second biggest value in g, d, -0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/6*(3 - 6). Suppose -13*k + 26*k - 169 = 0. What is the remainder when v - (-66)\/(-2 - -4) is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 2*sqrt(500)*1 + sqrt(500) + 3)**2.\nAnswer: 360*sqrt(5) + 4536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in 0.1, 0.2, 21, -0.4, -4.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(0 - (388\/386 + -1)). Suppose 4*t - p = 50. List the prime factors of t.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4*z - 2)*(2 - 1 - 5).\nAnswer: 16*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -428772596, -428772597, -428772598, -428772599, -428772600?\n\"Answer: -u - 428772595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/(-50)*(-8)\/18. Let s be 0 - -2 - (-88)\/(-42). Let w = -0.4 - -0.3. What is the second biggest value in w, s, n?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 4*u = -7*u, -u = -4*a + 7. Let g(q) = 101*q - 50*q - 52*q - q**3 + q**2. Let m(n) = 3*n. Let h(c) = a*g(c) + m(c). Factor h(v).\nAnswer: -3*v**2*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = f - 6. Is 13 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4005 - -4020. Solve -4*a + q = 35 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5229 is divided by 5215.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -869566, -1739268, -2608970, -3478672, -4348374?\n\"Answer: -869702*q + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -782*a = -2460*a - 52018 for a.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h + 10. List the prime factors of u(6).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -57 + -7062?\nAnswer: -70b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53*s**2 - 8142*s + 8142*s)*(0 + 4 - 3)*(0 + 15*s - 2 - 3*s).\nAnswer: 636*s**3 - 106*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 6 - (-4 - -3 - 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (7 + 18 + -29 + -10 - -71)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(-4) + 105\/84. Do 0 and z have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in u**3\/2 + 1039308*u**2 - 4157235*u\/2 + 1039309 = 0?\nAnswer: -2078618, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 27056 minus 3681919180?\nAnswer: -3681892124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -b9 (base 16) to base 9\nAnswer: -225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - 8*s**2 - 16*s - 17. Let y be v(-6). Solve -m = -y*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4543*n + 225569 = -260406 + 163422 for n.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 2, 1, 0, -1, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2621 * -6826.\nAnswer: 17890946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -730 - -748. What is the greatest common divisor of t and 8784?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223149215 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 - -23. Which is the second smallest value? (a) p (b) 0.3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 plus -6.06?\nAnswer: 8.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnnn. Give prob of sequence nn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.91 + -0.09. Let o = g - -3. Is -2 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -26*c - 93. Let z(n) = -4*n**3 - 6*n**2 - 6*n - 2. Calculate the smallest common multiple of 77 and z(c).\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = j - 4*j - 91, 5*j = -5*c - 475. Let d = 110 + c. What is the remainder when 25 is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.795 - 0.025. Let a = -0.8 - p. Let j = -0.12 + a. Which is bigger: j or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a decade in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + 3. Calculate the remainder when 307 is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) + 5*sqrt(121)*-2 + sqrt(121))\/(-3*sqrt(44)\/sqrt(4)).\nAnswer: 8*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 8:44 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(6 - 3)*(-6 + 2). Suppose -3*r = u*q - 7, -1 = 3*r + 5*q - 6. Let a(g) be the first derivative of -g**3\/3 + 3*g**2 - 4*g + 7. Determine a(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 785897894 is divided by 476.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at least -2\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -135 - 22474?\nAnswer: -22631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 4*i**2 + 2*i + 1. Let l be g(2). Which is the closest to 0.1? (a) 0.2 (b) -1\/2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 476924?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 183 - 179. Suppose 0 = -j - 3*v + 1, 9*v - s*v - 7 = -3*j. Solve 0 = 4*z + 11 + 1, -5*p - 37 = j*z for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*z = 19*z. Suppose -2*f - w - 55 = z, -3*f - 3*w + 41 = 131. Let q be (-9)\/(-15) + (-60)\/f. Solve -1 = -2*t - 5*u, 3*t = -q*u - 0 - 3 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-5)*(-5 + 0). Suppose -l*x = 2*x - 36. Let s = x - 4. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -5*j - 478. Let n(s) = 6*s + 479. What is -5*a(z) - 4*n(z)?\nAnswer: z + 474","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 51*g - 100*g + 49*g - 2 + 128*g**2. List the prime factors of p(1).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 49928\/9 or 0.2?\nAnswer: 49928\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 15 (b) 51 (c) 2\/17 (d) 12\/11 (e) -14 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*p*v**3 - 2*p*v**2 - p*v - 36857*v**3 - v**2 - 32555773*v wrt v.\nAnswer: -66*p*v - 4*p - 221142*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*3 + (0 - 1). Does 14 divide 185\/10*(0 + b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-2*(sqrt(1728) - sqrt(1728)*1) - (1 + (sqrt(1728)*-3 - sqrt(1728)))))**2*-5.\nAnswer: -138285 - 2880*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q - 4 + 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 15*t - 13. Let i be 134\/(-8) - 6\/(-8). Let u be d(i). Solve 0 = -5*z + u*s + 7, -3*z + 4*z - 3*s = -1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1028 + 1019 - 2059 - w + w**2 + 0*w + w**2 + 0*w - w**2 + 0*w**2 + 3*w**2 + (-4 - 2 + 5)*(-3*w**2 + 4*w**2 - 2*w**2).\nAnswer: 5*w**2 - w - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2398791 and 1.01.\nAnswer: 2398792.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2 - 6265484*t + 25061872.\nAnswer: 4*(t - 1566367)*(t - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*i**3\/4 + 15*i**2 - 215*i\/4 + 75\/2 = 0. Calculate i.\nAnswer: -15, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 6*z + 13*z + 4 - 5*z + 3*z**2. Calculate the smallest common multiple of i(-1) and 190.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/(-10))\/((-26)\/(-65)). Let l = q - -2. Let n = -3 + 7. Which is the nearest to l? (a) n (b) -2\/3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 8 - 11*i**4 - 11*i**4 - 2*i + 21*i**4 - 5*i**2 in the form o*i**2 + c*i**4 + g*i + x + j*i**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v. Let g(o) be the first derivative of -129*o**2 + 2*o + 2. What is g(d(s))?\nAnswer: -258*s + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.709 to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 99 - 16. Suppose 4*p = p + 3, 3*p = 2*x - w. Is x a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, 37\/3, 235, -2, 0, -0.15?\nAnswer: 37\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243 = 852*r - 825*r for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7108062 less than -49?\nAnswer: 7108013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -715.5 + 715.1. Which is the second biggest value? (a) 3 (b) f (c) -2\/3 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8*11\/198)\/((-154)\/363*(-80)\/(-70))?\nAnswer: 11\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 582 - 133. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17318 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 208*r**5 + 78*r**5 + 86*r**5 + (-3*r - 2*r + 6*r)*(r**3 - r**3 + r**4).\nAnswer: -43*r**5 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*k*r**3 - 10*k*r - 307*k - r wrt r.\nAnswer: -6*k*r**2 - 10*k - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o + 1 + o**2 + 0*o**2 + 0*o**2. Suppose -k + 6*k = 10. Let t(d) = -3*d**2 + 3*d - 2. Determine k*s(z) + t(z).\nAnswer: -z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 6:49 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.5, -90, -0.42, -97?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/260 and -37\/52988?\nAnswer: 264940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34 and 15504?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.051 * -134921.\nAnswer: -6880.971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 377076 a multiple of 402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -444 (base 6) to base 10.\nAnswer: -172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 817100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -495 (b) -0.3 (c) -2\/23 (d) -7.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d + 13 = -9. Let h(z) = -5*z**2 - 2*z + 2. Let p(w) = 15*w**2 + 7*w - 7. Calculate d*p(k) - 7*h(k).\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-2)*(-1 - 3\/15).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -3*x**3\/2 - 21*x**2\/2 - 3*x + 60 = 0.\nAnswer: -5, -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 1473 = -z, 584 + 865 = z - 5*y. What is the hundreds digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 299, 313, 327, 341, 355, 369?\n\"Answer: 14*h + 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/6 and -121\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + m = 20 + 123, -4*s = 5*m - 123. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(91) + (3*sqrt(91) - sqrt(91) - sqrt(91)) + sqrt(91)))\/sqrt(7).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y - 9 = 14*y. Suppose y*g = 8*g + 10. What is the derivative of -14 - g*l + 3 + 8 wrt l?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2130999911 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -38*r + 33*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**5 + 16*c**5 + 6*c**5 + (-5*c**3 + 2*c**3 + c**3)*(-c**2 + 3*c**2 - 3*c**2).\nAnswer: 22*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 16 = 2*o - o, s + 1 = -o. Suppose -3*r - 2 = -2*r. Sort r, 4, s.\nAnswer: s, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -6*b - 712. Let z(g) = 20*g + 2139. Calculate 7*q(r) + 2*z(r).\nAnswer: -2*r - 706","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -34 - l + 34 - 5*l + 6*l - 3*l + (-3*l + 3*l - 2*l)*(6 - 4 + 0).\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 91 + -5?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, d: 1, r: 3, f: 3, y: 1, i: 1}. Give prob of picking 3 f.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + -4*2\/(-4). Find the first derivative of -5 + 15*l**3 + s - 16*l**3 + 4 wrt l.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 45\/(57915\/52) + 4\/(-18). Let r = -0.6 - -0.1. What is the closest to y in r, 0.4, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -10848952\nAnswer: 21697904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (14\/(-4))\/(1 + -4)*6. Which is the second smallest value? (a) y (b) -2\/5 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/218 and 76\/532 + 1238\/(-140).\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2975*p**2 + 33*p + 31. Let d(k) = 4464*k**2 + 49*k + 46. Let n(b) = -7*c(b) + 5*d(b). What is the units digit of n(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20003 - -130231131?\nAnswer: 130311200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-51)*(-18411)\/(-513).\nAnswer: 38\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.069*2.8.\nAnswer: -0.1932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -34*z - 179. What is the units digit of s(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o - 3. Let n be v(-4). Suppose 9*m - 4*m + n = 0. Let y(t) = -7*t**3 + 6*t**2 + 6*t - 6. Let u(a) = -a**3 + a**2 + a - 1. Give m*y(w) + 6*u(w).\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 1128\/112)*12\/(-9)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*4\/(-6)*99\/264.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + (0\/(3 + 2) - -536). Let t = q + -499. Calculate the remainder when 45 is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/32 and 23\/5040.\nAnswer: 10080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t - t - t)*(3 - 3 - t) + 0 + 0 + 2*t**2 + t + 7*t**2 - t + t**2 + t**2 - t**2 + (0*t - t - t)*(-t + 0*t + 3*t) + t**2 + t**2 - 3*t**2.\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76063*j + 152137*j - 76061*j.\nAnswer: 13*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 5*m - 2, -r + 12 = 4*r - 4*m. Suppose -2*q + 4*g = q, -r*q = -4*g. Solve -3*y - 4*t - 24 = q, 0 = 5*y - 2*y + t + 15 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 706673064 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 88.2 * 564.\nAnswer: 49744.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1c2a0cc9 - 1?\nAnswer: -1c2a0cca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -118, -5, -13, 3, -12 in descending order.\nAnswer: 3, -5, -12, -13, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*k**4 + k**3*t + 128*k*t - 2955080*t with respect to k.\nAnswer: 28*k**3 + 3*k**2*t + 128*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56024 by -2.\nAnswer: -28012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one twentieth of a kilogram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7359 and 660?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 16*n - 16*n - 210*n**2 + 1 + 226*n**2. Let q(p) = 5*p**2 - 503*p + 503*p - 4*p**2. Determine q(b(k)).\nAnswer: 256*k**4 + 32*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 556 - 556.287. Let m = t + -11.613. What is m rounded to 0 dps?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 56 - 167\/3. Let v = 0.1 - -0.9. Let r = v + -2. Which is the closest to h? (a) 3 (b) r (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -12.6. Let v = -8.4 - -9. Let t = v - x. What is the nearest to t in 0.4, -4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) + sqrt(143) + 2*sqrt(143)*3)\/sqrt(11) + -2 + (sqrt(637) - (1*sqrt(637) + -2)) + -3)**2.\nAnswer: -48*sqrt(13) + 841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8859637117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 402314 (base 6) in base 13?\nAnswer: 1153c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/3 of a hour?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3 + 22224*t**2 - 3103125*t - 16070850.\nAnswer: 3*(t - 142)*(t + 5)*(t + 7545)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 5 + 3. Let l(x) = -24*x + 10. Let j(w) = -w + 1. Let n(z) = g*j(z) + l(z). Is n(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 - 22. Let v = s + 1. Let z be -1 + 0 + (0 - v). Which is greater: 2 or z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -14075?\nAnswer: -6\/14075","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 125065085 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63063 and 2079?\nAnswer: 189189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -4*q - 5. Let i(y) = 45*y - 20*y - 22*y + 4. Let l(m) = -5*i(m) - 4*r(m). Let p(k) = -14*k. Give l(p(j)).\nAnswer: -14*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -101000110001001 (base 2) in base 6?\nAnswer: -240345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 22\/(-4 + 216\/52). Suppose -2*p - 2*n = 3*p - 389, -5*n = 2*p - u. Let z = p + -19. Calculate the greatest common factor of z and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 202201021?\nAnswer: 202201010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do -36\/14560669 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6 and -983.392.\nAnswer: -977.392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -49*-0.063\nAnswer: 3.087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 + 19*l**2 - 23)*(3*l**2 - l + l)*(-28*l - 80*l + 36*l)*(4 - 4 + 2).\nAnswer: -8208*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2790\/391 - -156\/23. Let s be 6463\/(-184) + 37 + (1 - 3). Which is the nearest to -1? (a) s (b) 5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 + (-41 - (5 + -1 - 33))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 8*t. Let l be (-16)\/(-9) + 50\/225 - 0. Let j(m) = 10*m**l - 20*m**2 - 4*m**2 - m**2. Calculate j(r(y)).\nAnswer: -960*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36665*x**6 + x**5 + 94*x**3 - 3*x**2 - 2*x - 2047268.\nAnswer: 4399800*x**3 + 60*x**2 + 564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3*v**2 - 32*v + 11. Let p(i) = -5*i**2 - 57*i + 20. Let x(d) = 4*p(d) - 7*s(d). Suppose -4*h - 5 = h. Let z = h + 3. Calculate x(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y + 4 - y**3 + 0*y**3 + 4*y**2 - 6*y. Let g be p(-4). Let o be (-2)\/8*((-99)\/9 + -65). Calculate the highest common factor of o and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1405*u + 3268 + 3069 + 1405*u + 2*u**2 - 861 to v*u + x + b*u**2 and give x.\nAnswer: 5476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 80*s**3 + 7*s**2 - 3*s - 2. Let b(r) = -238*r**3 - 17*r**2 + 8*r + 6. Calculate -3*b(a) - 8*y(a).\nAnswer: 74*a**3 - 5*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -9. Let f = -6.2 + g. Let s = 1213 - 1212. Which is the nearest to f? (a) 3 (b) s (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -625*f**2. Let b(w) = 5*w**2. What is h(b(u))?\nAnswer: -15625*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -1387*c**3 - 2*c**2 + 1. Let t be h(-1). Let u = t + -712. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43 + 103. Let v be (112\/(-10))\/(-30*70\/39375). Calculate the highest common divisor of j and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -3*k - 19. Let f be q(-9). Suppose -f*x - 206 = -7*x. Is 8\/60 + 1 + x\/(-30) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and 5201904223.27.\nAnswer: 5201904223.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4386951 to the nearest integer?\nAnswer: 2095","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 24*v. Let p(t) = -96*t**2 - 168*t - 168. Let l(o) = -o**2 - 2*o - 2. Let k(h) = -168*l(h) + 2*p(h). Determine q(k(m)).\nAnswer: -576*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeq when three letters picked without replacement from eeq?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 54 = -4*u, -v + 21 = -3*u + 5*u. Solve 0 + u = 3*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3124*g**2 - 560*g.\nAnswer: 6248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -53, -52, -51, -50, -49, -48?\n\"Answer: n - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1031895 and 405?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8.05, -1, -6?\nAnswer: -8.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/55)\/((-2002)\/4719)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170977 is divided by 830?\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 178?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 47542 and -632860841?\nAnswer: 632908383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1743725539 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 162 + -5*9\/(-15). Let f = 165 - t. Which is the closest to 1? (a) f (b) -0.3 (c) -3 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 2 - (2 + -7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -288 and 0.2?\nAnswer: -57.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven sixths of a century?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((162\/(-252))\/(12\/(-14)))\/(1365\/56)?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 0)*(13*g**2 - 580*g**2 - 524*g**2 + 218*g**2).\nAnswer: 3492*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 1511 divide 504616582?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 b when four letters picked without replacement from {o: 1, b: 4, l: 4, y: 1, h: 1, m: 1}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*l**2)*(-4 + 5 + 1) + 2*l - 4*l + 5*l**2 - 6 + 8.\nAnswer: 9*l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of h**5\/60 + 26*h**2. Let u(a) = 0*a + 0*a - a. Give u(f(g)).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2118315\/14 - -150429. Let b = 2759\/28 - w. Let n = -972 + b. Find the common denominator of n and -19\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 - (8 + -2 + -9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f + 976. Let a(k) = -30037*k**2. Determine n(a(b)).\nAnswer: -30037*b**2 + 976","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 928 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -484, -0.2, 2\/23, -21 in increasing order.\nAnswer: -484, -21, -5, -0.2, 2\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1 + 0 + 2 - 4 + (1 + 2 - 1)*(0 + 4 - 2) - 2 - 3 + 4)*(-4*x - 4*x + 4*x) + x - 5*x + 3*x.\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23224442 (base 8) to base 10.\nAnswer: 5056802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-22)\/3 - (715\/(-39) + 20). Let f(j) = -j**3 - 9*j**2 + 2*j + 10. Determine f(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (14\/6)\/((-4)\/776). Let a = -18877\/42 - y. Calculate the common denominator of a and 23\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 38837*r + 1. Let m(f) = 1248*f. What is a(m(b))?\nAnswer: 48468576*b + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*b = b. Suppose 2*k - 4 = 2*s, 2*s + 3*k - 4*k = b. What is the units digit of s\/(-11) + (-870)\/(-66)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2*sqrt(209)*-6)\/sqrt(11) - 3*((-1 + sqrt(171) - sqrt(171)) + -1))**2.\nAnswer: -576*sqrt(19) + 43812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 7*m**2 + 4*m - 7. Let q be z(-5). Suppose 5*u + 17 = -q. Let r(s) = 3*s**3 - 5*s**2 + 8. Let i(k) = k**3 - 2*k**2 + 3. Give u*i(x) + 3*r(x).\nAnswer: x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 184161*k**6 - 303822*k**2 wrt k?\nAnswer: 22099320*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -4*l + 6*l + 32, 5*i + 4*l = 98. Calculate the common denominator of 0 + -1 + (-243)\/i and -31\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -u - 1. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -82*m**2 - 66*m + 143. Give u(2).\nAnswer: -317","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 8, p: 5, i: 1, j: 1, e: 5}. Give prob of sequence pi.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**4 + 96086*t**3 - 672561*t**2 + 768616*t + 1537264 = 0. What is t?\nAnswer: -1, 4, 96079","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 48371 times 0.17?\nAnswer: 8223.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 14311078077 and 0.3.\nAnswer: 14311078077.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 448 - 671. Let i = -963 - -1423. Let d = i + v. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135*o - 258*o + 3 - 2 + 162*o - 3 + 4.\nAnswer: 39*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58472896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*i**2 + 561216 - 561216.\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8414 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of 17*s**6\/90 + 53*s**5\/30 + s**4 - 80*s**3\/3 + 69. Let i(o) be the third derivative of b(o). Let i(l) = 0. Calculate l.\nAnswer: -3, -2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -163913, -163916, -163919, -163922, -163925?\nAnswer: -163928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddv when three letters picked without replacement from vdtvv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -17*h**2 - h - 2. Let l be y(4). Find the common denominator of 1 - 2 - l\/12 and -53\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 80 = -4*v, -11*r = 5*v - 10*r - 79. Solve 9 = -3*x + v for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 + 0.1. Let l = -98.2 + 98.26. Let u = -41\/190 - -6\/19. Which is the closest to l? (a) w (b) 3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {l: 3, k: 1, x: 4, y: 5, u: 3, g: 1}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 446*y = -2694 - 874 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -321 - -320.9937. Let m = 0.00809 + o. Round m to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1003077960?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4057 to 2 decimal places.\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -62*l**2 - 2978*l - 88. What is h(-48)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 519 and 72487.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 0, -28, 1\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3928 - -583. What is the highest common factor of b and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = 4*h + 2*z, -10*h + z + 53357 = 53516 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 103 - 84. Suppose -3*i + b = w - 0, 0 = 5*i - 25. What is the third derivative of -6*u**4 - 309*u**2 + 279*u**2 - 5*u**w wrt u?\nAnswer: -264*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 7*l - 3*l + 320, 4*l = r - 71. What are the prime factors of r?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 + -1412?\nAnswer: -1402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/13056 and 95\/1988?\nAnswer: 6488832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 309607574.\nAnswer: 2, 59, 61, 43013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*x + 3451 = 13*x. Let z = -468 - x. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1260 - -2519\/2. Is -88 less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(13\/5)*z*z\/z**(-3\/4))\/(z**(-14))**(-20) assuming z is positive.\nAnswer: z**(-5577\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 18254909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d - 3. Let n(w) = -3*w + 10. Suppose -14*x + 20 = -10*x. Let a be n(x). Calculate o(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from -179264.\nAnswer: -179269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + 20*g + 12. Is l(10) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 155375324 divided by 6388\nAnswer: 24323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43641816690 + 1649966163829523\/37807. Let x = j - -1\/491. Let r = -64\/11 + x. Which is the third smallest value? (a) -2\/5 (b) 3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*a**3*d - 26231*a**3 + a**2 + 50245*d wrt a?\nAnswer: -18*d - 157386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-21414)\/(-135) - (-6)\/(-15). Let u = x - 158. What is the third biggest value in u, -0.5, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86758 is divided by 1458.\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/23936 and 119\/40?\nAnswer: 119680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of 4*n**7\/21 + 2*n**6\/5 - n**5\/5 - n**4 - 2*n**3\/3 - 10*n. Find z such that u(z) = 0.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 97 - 74. Let r(p) = p**2 - 21*p - 8. Let m be r(t). Let y = 40 + 55. What is the highest common divisor of m and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 16) in base 15?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 228830039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 3 + 1)*(-17 + 17 - 3*r) to n*r + t and give n.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**4 - 204*l**3 - 783*l**2 - 966*l - 384.\nAnswer: -3*(l + 1)**2*(l + 2)*(l + 64)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - -2 - -6 - 2 - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q - 5*q**3 - 99*q**3 - 4*q.\nAnswer: -104*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 566247148?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1623246.03 hours in weeks?\nAnswer: 9662.17875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(504) - sqrt(56))\/(sqrt(24)\/(sqrt(21)\/sqrt(7)) + sqrt(8)).\nAnswer: -19*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4452 - 7?\nAnswer: 444a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32726\/9 - -3636. What is the third smallest value in 201, f, 0?\nAnswer: 201","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0062 - -0.1062. Which is smaller: s or -2028?\nAnswer: -2028","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -s**7\/840 + s**6\/360 - s**3\/3 + 4. Let r(l) be the third derivative of g(l). What is the third derivative of r(d) wrt d?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -72.62951 + -0.03049. Let q = -131 + 59. Let j = q - b. Round j to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4529 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: Convert 167365 (base 10) to base 9.\nAnswer: 274521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -89 - -179. Let z be 71\/4 - ((-21)\/(-12))\/(-7). Calculate the greatest common factor of s and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14511 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 14\/222977 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/2 of a millimeter?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/57127 and 3.\nAnswer: 57127","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11620907?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -8*y - 3. Let h(j) = 15*j + 5. Let w(z) = 3*h(z) + 5*o(z). Let q(c) = -c. What is q(w(d))?\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 222 and 938505?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -1, -2, 11.8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -4*q**2 + 5 + q**2 - q**2 - q**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006 to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40469, 147868, 326867, 577466, 899665, 1293464?\nAnswer: 1758863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 349 = -5*z, 10*v - 5*v - 3*z = 857. Is 45 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 3*n - 9024 = 0, -12052 = -3*g - g + n. What is the highest common divisor of 12 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**5*g))\/g**9*(g*g**(-22))\/g**12 assuming g is positive.\nAnswer: g**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262 is divided by 39.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 95206033?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -978, -6995, -13012, -19029?\nAnswer: -25046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2022103132 (base 4) in base 7?\nAnswer: -4546405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/12 + (-51)\/(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010001000110111 + -101?\nAnswer: -1010001000111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}