{"text":"Question: Is 17828870\/7 - 699\/1631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2\/7 - 23\/7. Let x = 4 + -4. Let y be (3 + d)*(x + 1). Solve y = 4*w + 8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -10 + 12. Let o = -1\/1289 + 1293\/5156. What is the second smallest value in 0, d, -4, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 513 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -0.1  (b) -3\/7  (c) -21\/1283  (d) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8116345.\nAnswer: 5, 1623269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 19 + 1. Let c = p - -3. Calculate the remainder when c is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (5*-2*sqrt(130))\/(sqrt(40)\/sqrt(4)*-5))**2 - (sqrt(117)\/(sqrt(900) + (1*sqrt(900) - sqrt(900))) - (2 + (-2*sqrt(832))**2)).\nAnswer: -81*sqrt(13)\/10 + 3386","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 127530 and 180?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3616181.29793 - 3616419.3. Let s = d - -238. What is s rounded to four dps?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 156 = t, 4 = -t - 0*t. Let m = k + 45. Solve g + 11 - m = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/u**12)\/(u*u*u**(-1\/3)*u*u) assuming u is positive.\nAnswer: u**(-44\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 60*d**3 - 60*d**3 - 3*d**2 + 2 - 4 - d**4 to v*d**2 + t + r*d**4 + f*d**3 + u*d and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*q - 2*q**4 - 2*q)*((4 - 4 - 1)*(-3 + 5 + 0) + 3 - 7 - 3 - 5 - 1 + 4).\nAnswer: 22*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2439412.\nAnswer: 2, 179, 3407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11681 is divided by 562.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 197948063?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 2070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*a + 0*a + 2*a)*(-3 + 4 + 1) - 30*a + 8*a - 19*a + (-20 + 48 - 4)*(-4*a + 3*a + 0*a) + (3 + 2 - 10)*((-1 - 1 + 3)*(-a - 4 + 4) + 3*a - 2*a - 2*a).\nAnswer: -57*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*-268116.\nAnswer: 536232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 plus -25624?\nAnswer: -25622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 534953343.\nAnswer: 3, 23, 29, 83, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 35004517 to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + 3 + -5 + 2 + ((1*sqrt(125) - sqrt(125))*1 + (sqrt(315)\/sqrt(7) - (sqrt(5) - sqrt(10)\/sqrt(2)*-6 - sqrt(5))))**2.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -8*u + 15*u - 2 + 3*u**3 - u**2 - u in the form r*u + x + s*u**2 + j*u**3 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0208023868 rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 2, g: 4, v: 3, s: 3, b: 2, z: 1}. Give prob of picking 1 z, 2 v, and 1 b.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 210482 and 53998?\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*y + 1 + 0 - 4*y + (1 - 3 + 3)*(-3 + 3 + 3*y).\nAnswer: 5*y + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 6 and 157725077?\nAnswer: 946350462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*d**3*j**2 - 19*d**3*j + 2*d**3 - 2*d*j**2 - d*j + 89 wrt d.\nAnswer: -18*d*j**2 - 114*d*j + 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8433 is divided by 2800.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -4.309408 + 51654.866\nAnswer: 51650.556592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - 2*a)*(-2 - 11 + 0)*(-1 - 1 + 0)*(-5 + 4 + 3)*(3*a - a - 3*a).\nAnswer: 104*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 54, -2, 4, -8 in ascending order.\nAnswer: -8, -3, -2, 4, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -552*r - 622*r + 4713 + 21430 = -37253 for r.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 434905792?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -s**2 + 18*s - 56. Let t be q(14). Suppose 3*h - 4*f - 94 = t, -h - f + 31 = -2*f. Calculate the smallest common multiple of 33 and h.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3702 + -0.10269.\nAnswer: -3702.10269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (256 - 473 - 424)*(0*p + 0*p - 3*p**2) in the form m*p**2 + k*p + c and give m.\nAnswer: 1923","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 22 + -19. Let r be 3\/1 - (2 + (-831)\/h). Suppose 5*k - 5*x - 52 = r, -4*k + 264 = 2*x. Is 6 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*m**2\/7 - 200*m\/7 + 736\/7.\nAnswer: 4*(m - 46)*(m - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*w = -27 - 99. What is the remainder when 28 is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 9125.255ml?\nAnswer: 9.125255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -97?  (a) 0.05  (b) 1\/2  (c) -2  (d) 0.24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 365 + -125. Let r be ((-2)\/(-4))\/((-6)\/q). Is 6 a factor of ((-18)\/(-12))\/((-2)\/r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -3*h + 18. Let d(i) = -4*i - 8. Let r be d(0). Does 22 divide l(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1322 is divided by 1300?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1294575905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find n, given that -5*n**5 + 25*n**4 + 85*n**3 - 245*n**2 - 800*n - 500 = 0.\nAnswer: -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -7 - -5. Let a(h) = -117*h**2 + 5 + 118*h**2 + h - 1. Suppose 2*o - 4 = 14. Let v(u) = 1. Determine k*a(b) + o*v(b).\nAnswer: -2*b**2 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14638276 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((5\/(-12))\/(-5))\/(14\/(-42)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 207290379 is divided by 95.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 13*w**2 + 130*w - 596. What is g(5)?\nAnswer: 379","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 10373899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2*10\/356*(2294\/465)\/(-37)*3.\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:56 PM and 2:56 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 8*f**2 - 7*f + 3. Let b be w(3). What is the greatest common factor of b and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1\/4  (b) 3\/2  (c) -7\/3  (d) -10  (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 21 = -3*i, i + 2*i + 3*m - 27 = 0. Let c(v) be the second derivative of v**3\/6 + 2*v**2 + 10*v + 21. Give c(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 133443 and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 84178 greater than or equal to 84179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -36 + 145\/4. Let d = -0.4 + 0.5. Let f = 1835\/13 + -141. What is the second smallest value in v, d, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = n**2 - 7*n + 4. Suppose 0 = 3*m - m. Suppose -3*p - 9 = m, 0*o - 26 = -5*o - 3*p. What is the units digit of b(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 89*n + 451. Let m be c(-5). Solve 3*t - 14 = 5*w - 0*w, -t = w + m for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 4. Let z(t) = 2*t - 8 - t + 7. Calculate r(k) + 2*z(k).\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = z + 5*z. Is 1\/380 at most as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -163\/11490 and 81\/230.\nAnswer: 264270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fh when two letters picked without replacement from wwrrwhrkrhfrhr?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1215*q + 1213*q + 4 + 1220*q - 3643*q - 4.\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = w**2 + 3 + 5*w - 4*w**2 + 2*w**2 + 1. List the prime factors of n(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b = 3*u - 121, -5*b + 255 = 3*u + 2*u. Suppose 5*i + 3*p = u, -i + 0*p + 5*p + 15 = 0. What is the remainder when 39 is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (57 - 25) + (-2 - 20) - -27.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 10 and 1055.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 12*v**3 - 3*v - 16. Let n(i) = 36*i**3 - 8*i - 48. Let m(k) = -8*b(k) + 3*n(k). What is the first derivative of m(t) wrt t?\nAnswer: 36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 13, 55, 119, 199, 289, 383, 475, 559?\nAnswer: 629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 1756664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -110100111111011000110000000 - -1?\nAnswer: -110100111111011000101111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 3*g - 41. Calculate z(9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3 + -1. Suppose 0 = 3*g - 2*g - 5*t - 4, t = k*g - 44. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -630*t = -631*t + 27. Find the common denominator of ((-4248)\/t)\/8 - (-2)\/(-4) and -29\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/13, 2\/215, 0.25, -3\/55 in descending order.\nAnswer: 0.25, 2\/13, 2\/215, -3\/55","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: Let s(g) be the first derivative of -g**2 - 3. Let b(d) be the first derivative of 5*d**3\/3 + 21. Determine b(s(i)).\nAnswer: 20*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 563784 to the power of 1\/2, to the nearest integer?\nAnswer: 751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/8*(-4136)\/66 + (-7 - -4)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 492 minutes after 11:59 PM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1210250013 - -4?\nAnswer: 1210250021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-6*sqrt(350)\/(sqrt(640) + sqrt(10) - sqrt(10)))\/(3*sqrt(21)\/sqrt(12)))**2.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*u - 105 = -5*u. Factor 30*k + 32 - u*k**2 - 4*k**4 - 14*k - 20*k**3 - 17*k**2.\nAnswer: -4*(k - 1)*(k + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 27328916 is divided by 50?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 18, 28, 36, 42, 46, 48, 48?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -87*a**4 + 2071*a**3 + 36*a**2 + 2*a + 179 wrt a.\nAnswer: -2088*a + 12426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.2 - -37.8. Let y = -35 + g. Which is the second smallest value?  (a) -5  (b) 2\/15  (c) -2\/7  (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4 - 2. Suppose 4*g - 2*g - z = 0. Which is the biggest value?  (a) 0.4  (b) g  (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*t = -8*t + 75 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-20)\/(-195))\/(81\/351)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 865 - 8?\nAnswer: 859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -s**3 + 4*s**2 - 6*s - 2. What is a(3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 115 divide 73370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*i**3\/3 + 1089839*i**2\/6 + 12372363190*i - 3093102150 = 0. Calculate i.\nAnswer: -136230, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + ((4 + (sqrt(1216) + -2*sqrt(1216) + sqrt(1216) + sqrt(1216) - sqrt(1216)))*-5)**2 + 6*(-1*sqrt(304))**2*-3.\nAnswer: -5072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -202 - -2207?\nAnswer: 2005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -6791*n**2*q**2*x - 9*n**2*x - 22*n**2 - 48*n*q**2*x + 8*n*q*x + 3*n*x - 4*q wrt q?\nAnswer: -13582*n**2*x - 96*n*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 3) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is (-128)\/(-352) - 829194\/(-22) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/10 of a kilogram in grams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 13 = -3*b, -b - 9 = t - 2*b. Let o be 25\/20 - 6\/t. Solve 0 = -3*k + 3*v + o*v + 35, 0 = 3*v + 12 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) be the first derivative of -w**3\/6 + 13. Factor j(p).\nAnswer: -p**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2518 = -4*u - 2*p, -2420 = -3*u - 4*p - 519. What is the hundreds digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -31, 9, 7, -5, 3507 in descending order.\nAnswer: 3507, 9, 7, -5, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -81*l + 206. What is m(3)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 264 minutes before 11:58 PM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 9*n = -30. Let k = 0.4339 - 0.0339. What is the second biggest value in 0.11, n, k, 2\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43 a factor of 903?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -609697*m**2 - 109*m + 197063034?\nAnswer: -1219394*m - 109","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 75  (b) -5  (c) 0.3  (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*v + 7*v - k = -6304, 0 = -3*v - 5*k + 4745. Do v and 1575 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1369, 1496, 1691, 1954, 2285?\nAnswer: 2684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 1 e when two letters picked without replacement from {t: 1, c: 1, e: 2, z: 1, a: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*6*sqrt(95)\/sqrt(5))**2 + 3 + (sqrt(19) + 2*sqrt(2736))**2.\nAnswer: 18034","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -219\/5, -0.3, -0.1 in descending order.\nAnswer: 1, -0.1, -0.3, -219\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 4*k - 104. Calculate z(0).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 216, 11, 16, 26, 1, -5, 5 in ascending order.\nAnswer: -5, 1, 5, 11, 16, 26, 216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 2*y - 3. Let c(i) = i - 1. Suppose 0 = 3*u + 12, 15 + 3 = -2*a - 3*u. Let s(z) = a*c(z) + o(z). Let v(d) = -4*d + 2*d + 0*d. Determine v(s(r)).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 392?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 474\/42 - (-2)\/(-7). Suppose 5*f - 34 - l = 0. Let r = -3 - -3. Solve f = -r*w + 3*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -4 - 3*u**2 + u**2 + 4. Let x(o) = -41*o - 5. Let l(z) = -z - 7. Let c be l(-9). Let y(g) = -20*g - 2. Let m(h) = c*x(h) - 5*y(h). What is m(s(p))?\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 504756 and 2016?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 4*y - 5 = 7, 0 = u + 5*y + 3. Suppose u - 8 = -n. Let d = n - 0. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -57\/10, 0.2, -127951, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -89 + 93. Solve -4*f = -2*f - o for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((676\/(-26))\/(-52))\/(2*2\/(-192))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q = -2*z + 20, -5*z + 2*q + 20 = -15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 5, 7, -221, 3 in decreasing order.\nAnswer: 7, 5, 3, -3, -221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3 + 2.5. Let m = 11458.4 - 11458. Put 4.3, m, 0.3, s in descending order.\nAnswer: 4.3, m, 0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -7\/20, 61, -2, -5787 in descending order.\nAnswer: 61, -7\/20, -2, -5787","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = z**2 - z - 3. What is the remainder when 42 is divided by i(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*j*u**2*z**3 - j*u**2 - 94*j + 10*u**2*z + 6*u*z**3 + 2*z**3 with respect to j.\nAnswer: -2*u**2*z**3 - u**2 - 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.3874  (b) 2\/11  (c) -1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -31527\/8 - -12721\/8. Let i = s + 2337. Calculate the common denominator of 22\/37 and i.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 + 3 = j. Let p(t) = t + 2 - j + 0 + 3. Let m(v) = -v**3 - 2*v**2 + 2*v. Determine m(c) - 2*p(c).\nAnswer: -c**3 - 2*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -508*v**5 - 1299*v**4 + v**3 - 267520*v**2 - 2*v + 2 wrt v.\nAnswer: -30480*v**2 - 31176*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -3*s + 2*s. Let x(b) = -7 + 0 + 9*b**s + 3*b - 2. Let o(r) = -4*r**3 - r + 4. Let a = -339 - -334. Determine a*o(q) - 2*x(q).\nAnswer: 2*q**3 - q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, 2, 12, 3 in descending order.\nAnswer: 12, 6, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 543145938?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) be the second derivative of y**3\/3 - 29*y**2\/2 - 4*y. Let p be d(13). Put 0.4, p, 3\/5 in descending order.\nAnswer: 3\/5, 0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s**(-8\/9))\/s*s)\/(s\/(s**(6\/7)*s)) assuming s is positive.\nAnswer: s**(61\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0176712 to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:44 PM and 12:22 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f*f**0*f\/f**(-3\/4) assuming f is positive.\nAnswer: f**(11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1044 and 4303107.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(425)*2)**2 + sqrt(425) - ((sqrt(2448) - (1 + sqrt(2448))) + sqrt(2448)) - sqrt(51)\/(-2*sqrt(243)).\nAnswer: -125*sqrt(17)\/18 + 1701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5 in -4, 1\/2, -0.1, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.10356884 rounded to four decimal places?\nAnswer: 0.1036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*i = -24 + 40 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 81*b*o*z**2 + b*o + 20*b*z**2 + 2*b*z - o*z**2 + 2*o*z + 13*z**2 wrt o.\nAnswer: 81*b*z**2 + b - z**2 + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -49\/240 and 17\/192.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:01 AM and 8:24 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 10*g. Let b(a) be the second derivative of -a**4\/6 - 5*a + 5. What is b(t(w))?\nAnswer: -200*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = i**2 + 2*i**2 - 77*i**3 + 76*i**3 + 3*i + 8. Let w be f(4). Solve 4*p - 7*v - 30 = -2*v, 3*v - w = -2*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 305364.\nAnswer: 2, 3, 25447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 493 minutes after 6:03 PM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-3)\/(-6) + 58\/120. Let x = -26\/15 + z. Let u = 433 + -432.8. Which is the closest to u?  (a) 0.4  (b) x  (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.2205 * 12.5.\nAnswer: 2.75625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 8, l: 2, e: 2, r: 2}. Give prob of picking 1 r and 1 l.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14 + 5 - 10 - 1 - 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 537*p + 1081. Let d be s(-2). Solve 4*g = -15 + d for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:25 AM and 11:05 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2 * -586.72.\nAnswer: 117.344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1197550*n**2 + 28269319*n?\nAnswer: -2395100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -74287, -75591, -76895?\nAnswer: -78199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 12) to base 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/((r\/(r*(r*r**4)\/r)*r)\/r))**(-31\/2)\/((r*r**(11\/3))\/(r**(-4\/7)*r)))**28 assuming r is positive.\nAnswer: r**(-6866\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-852)\/1288 - 684\/(-798))\/(-3)?\nAnswer: -3\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1051 a factor of 141624352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = n + 18, 4*n = -4*v - 0*v - 12. What is the remainder when ((-4)\/10)\/(n\/(-20)) is divided by -9*1*(-2)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -29 - -32. Suppose 0 = -k*w - 2*i + 6, -5*i = 2*w - 10*i - 23. Solve 0 = 3*l - 2*o - 4, 0 = w*l + o - 4*o - 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -n**2 + 10*n + 16 + 4 - 4. Let q be g(11). Solve 9 = -2*m + q*m + 2*b, -2*m + 4*b = -22 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 63575 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2.3?  (a) 0.4  (b) 0.53  (c) 0.3  (d) 0  (e) -23  (f) 18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = -2*q + 487, -2*q = q - 3*b - 726. Suppose 2633 - 526 = 43*m. Calculate the highest common divisor of q and m.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*q + 13*q**2 + 28*q**2 - q - 39*q**2 + q**3 + 1 to i*q**2 + z*q + x + h*q**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:39 AM and 6:37 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*h - 4*h + 450 = 0. Let u = -199\/4 - h. What is the nearest to 0.2 in u, 2\/3, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2 + 5\/2)\/((-56)\/(-448)). Solve -q*m + 26 = 6, -3*a = m - 5 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1*12825290.\nAnswer: -1282529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -42, -45, -48, -51, -54, -57?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = a**2 - 6*a - 10. Let l be t(8). Solve -f = f - l for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -64 divided by -16\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1152 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 42*z**2 - 122*z**2 + 42*z**2 - 34*z**3 + 40*z**2.\nAnswer: -34*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 473.96 + -473.56. What is the closest to 0 in b, -314.2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -12749 - -12773. What is the greatest common divisor of w and 528?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -49a (base 12) in base 4?\nAnswer: -22312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2.7 + 1.8. Let m = -0.6 + 1. Let k = v + m. Which is the second smallest value?  (a) 2  (b) k  (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11474572 a multiple of 375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -2*b + 1. Let o be k(1). Let g = o + 6. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is e3 - 4bad0e?\nAnswer: -4bac1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 2 k when three letters picked without replacement from {z: 5, k: 7, i: 2}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 41006427 divided by -57?\nAnswer: -719411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1430)\/390*14\/11*(-585)\/(-26)?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -135, -247, -427, -675, -991, -1375, -1827?\n\"Answer: -34*y**2 - 10*y - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve c = -z + 8, 5*z - 4*z + 2*c = 13 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.1057784 and -17796481.\nAnswer: -17796480.8942216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 148792 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 y and 1 m when two letters picked without replacement from mdmmddmmyyyii.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 681*k**3 + 99 wrt k.\nAnswer: 2043*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z + 2*r + 8 = 0, 0 = -4*z + r + 7 + 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -20*n**2\/3 + 35828*n\/3 + 334696.\nAnswer: -4*(n - 1819)*(5*n + 138)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -50 + (-20 + 29 + -23 - -26)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 114\/15 + (-185)\/(-25) + -7?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 459.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:10 AM and 2:11 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 13 = 2. Suppose -4 + 319 = g*a. Is 35 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 4, r: 2}. Give prob of picking 2 r.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 42 - 23 + 4 - 18 - 3*p - 5.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 4*u = 8823 - 2957, 3*u - 5869 = -2*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1011 - -21111?\nAnswer: 20100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = n**2 + 6*n - 13. Let z be k(2). Let r(h) = -h**3 + 3*h + 2. Let p be r(-2). Solve -5 = -p*t + z for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 0 - 2 - 3 + 2 + 11 + (4 - 1 - 4)*(-3 + 2 + 0) + 0 + 2 - 1)*((12 - 12 - 11)*(3*r + r - 3*r) + r - 2*r + 3*r) to the form w*r + h and give w.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from memereeerremeeme. Give prob of picking 1 r, 1 e, and 2 m.\nAnswer: 81\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that 5*s**3 + 1650*s**2 - 414995*s = 0.\nAnswer: -497, 0, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) be the first derivative of -19*s**6\/60 - 11*s**5\/60 - 3*s**2 + 1. Let f(k) be the second derivative of j(k). Find the third derivative of f(i) wrt i.\nAnswer: -228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 35482.\nAnswer: 2, 113, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n - 2*y = 17, 0 = -3*y + 1707 - 1695 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -51 - -50. Which is greater: 1\/8 or z?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 629 and 1921.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 58855812437 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5\/13 - 9\/91. Which is the nearest to h?  (a) -1\/2  (b) -3  (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 + 0 + 0 + 5 + -8\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*p**2 + 4 - 4)*(0 - 1 + 0)*(6 - 1 - 2)*(8 + 6 - 9).\nAnswer: -30*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3802 + 15459\/4. Let o = b + -63. Suppose 3*u - 2*u + 4*n + 1 = 0, 4*n = 5*u + 5. Is u greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) be the first derivative of m**7\/24 + 2*m**6\/15 + 11*m**5\/80 + m**4\/24 - 4*m - 1. Let z(l) be the first derivative of s(l). Solve z(i) = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*k = -168481 - 79179. What is k rounded to the nearest one thousand?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = -u - 12, f = 2*u + 7 - 1. Let o(r) = r**2 - 2*r + 1. Let l be o(0). Let m = 8 + -3. Put l, u, m in descending order.\nAnswer: m, l, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -85*u - 5*u + 0*u - 180 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.37259364 to 2 dps.\nAnswer: 1.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-56)\/(-6)*315\/42?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a + 130*c = 134*c + 20, 3*c + 1 = -4*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5445 + -5442. What is the third biggest value in 2\/5, 0.3, 22, f, -1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1551\/1178884 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = f + 2. Suppose 2*i + 3*w - 15 - 6 = 0, -f*i + 4*w + 12 = 0. What is the lowest common multiple of i and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.291913 + -0.36904. What is q rounded to four decimal places?\nAnswer: -0.0771","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 6*k - 16 = 0. Sort 1, 5, k, -13 in descending order.\nAnswer: 5, k, 1, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) be the third derivative of -l**4\/12 + 2*l**2. Let c(m) = -7*m**2 - 3*m + 3. Let v(j) = -j**2 - j + 1. Let f(g) = c(g) - 3*v(g). Determine f(k(h)).\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = 2 - 0. Let v be 3*6\/(-2 + t). Let b = v + 7. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 1623, 3275, 4929, 6585, 8243?\n\"Answer: h**2 + 1649*h - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -5276 divided by -2?\nAnswer: 2638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 90 and 195.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: ((-8)\/(-10))\/((-2)\/(-1))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -12*u**3 + 5*u + 37*u**3 + 1166 - 537 + 6*u**3 wrt u.\nAnswer: 93*u**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 3, j: 2, a: 2, s: 3, l: 1, v: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5 + -4.33. Let w = h + -0.37. Which is the nearest to 0?  (a) 19  (b) -2  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5 - -50. Let q = -46 + x. Calculate the greatest common divisor of 333 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 49220000 rounded to the nearest 1000000?\nAnswer: 49000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.02, 24, 4\/5, 15, 0.5 in increasing order.\nAnswer: 0.02, 0.5, 4\/5, 15, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = y**2 + 14952*y. Let h(z) = 2*z. Give u(h(l)).\nAnswer: 4*l**2 + 29904*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 71 + -647. Let x = -573 - r. Let p = -0.11 - 4.89. Which is the nearest to 0.2?  (a) p  (b) x  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 8558*i**5 + i**4 - 7*i**2 - 35101*i - 1?\nAnswer: 171160*i**3 + 12*i**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1600 and 131488?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6442361425?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-3481 + 2)*(455\/(-150) + 3). Let x = -123\/10 + i. Let k = 104 - x. Which is the nearest to 12?  (a) 0.3  (b) 3\/4  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 492 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 42854 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -48*o**2 + 143*o - 30. Let k(n) = 49*n**2 - 149*n + 30. Let z(v) = 9*g(v) + 8*k(v). Factor z(p).\nAnswer: -5*(p - 2)*(8*p - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*j - 4*w - 3, j + 7*w = 5*w - 3. Sort j, 15, 0.05, 0 in decreasing order.\nAnswer: 15, j, 0.05, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 5 - 3)*(2 + 22*o - 46*o + 22*o)*(-5 - 1 + 5) to x*o + z and give x.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = -2*o - 3. Let c(p) be the third derivative of -p**4\/12 - 7*p**3\/6 + 4*p**2 + 104. Determine c(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 5\/7281 and -121\/252.\nAnswer: 203868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 26*j - 1)*(-3*j - 3 + 9*j - 4*j + j**2) + (-j**2 + 3*j - 3*j)*(1 - 8*j - 1) to p + b*j**3 + o*j + n*j**2 and give o.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0014731601 to six decimal places.\nAnswer: 0.001473","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 > 223?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -39326.331 to the nearest one hundred.\nAnswer: -39300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2 + 1 - (-32 - 5). Solve 2*x - 4*u + 0 = 26, 5*u + s = 4*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -552*i. Let d(v) = 19*v. What is -115*d(r) - 4*s(r)?\nAnswer: 23*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1101  (b) -0.05518  (c) 4  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = q - 3. Let h(j) = -6*j - 160. Let c be h(-41). Let m = 91 - c. Determine l(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 6  (b) 1\/2  (c) -2  (d) -9455\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -233*d**2. Let x(s) = -2*s**2. Calculate x(i(q)).\nAnswer: -108578*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -98\/3 + 34. What is the fourth biggest value in 7, 2, 5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -137 or -138?\nAnswer: -138","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15\/(-10)*10\/(-15)*-1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 24121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -926*x - 4186 = -744*x for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 265 * -0.3\nAnswer: -79.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -2*w**3 + 52*w**2 + 46*w + 34. What is m(27)?\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.031 * -0.5.\nAnswer: -0.0155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -29*x**2 - x - 3. Let t(n) = 29*n**2 + n + 2. Let u(p) = -3*r(p) - 4*t(p). Let c be u(1). Suppose -18*d - 210 = -11*d. Which is smaller: d or c?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3630342 and 1208?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.7855261 months to years.\nAnswer: 0.232127175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1070962 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 2*q**3 + 483*q**2 + 260*q + 4807. What is l(-241)?\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38*g = -41*g + 27. Solve 0 = -g*u - 36 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that -5*g**3 + 13950*g**2 + 3915395*g = 0.\nAnswer: -257, 0, 3047","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 17311.12cm?\nAnswer: 0.1731112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 120400 and 1050?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -5, 1\/2, -28, 1\/6651?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -424918, -424912, -424906?\nAnswer: -424900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 485 minutes before 7:01 AM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 2, -3, 15, 31, 7, -2.\nAnswer: -5, -3, -2, 2, 7, 15, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 127 minutes after 11:09 AM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by -80.\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 492633853?\nAnswer: 199, 2475547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 191406305?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a + 2058 = -a + 6*z + 2086, -2*a + 22 = -4*z for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 35 and 180?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 12568773?\nAnswer: 8","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 {p: 2, g: 8}?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = l**2 + 15*l + 15. Let y be o(-14). Let a be (2 - 0)*(2 + y). Suppose 0 = h - 5*u - 29, 0 = 2*h - a*h - 2*u + 138. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2 - 2. Let f = 1890.8 + -1898.8. What is the second biggest value in -1\/3, g, f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 64, 102, 162, 238, 324?\nAnswer: 414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 46, -1967, -70, 2 in decreasing order.\nAnswer: 46, 2, -70, -1967","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Are -32485 and -32485 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*w = 116 - 116. Solve -4*l + h = w, -2*l + 6*l + h + 8 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1, 2\/35, 0.0191?\nAnswer: 0.0191","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by -115\nAnswer: -3\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 88 - 254 = -2*m. Let h = m - 47. Is 13 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.36 + -54.64. Let v = u - -54.9999913. What is v rounded to 6 dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*m**2\/5 - 132156*m\/5 - 10026528\/5.\nAnswer: -3*(m + 76)*(m + 43976)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -f + 2, -4*h - 24 = -0*h - 2*f. Let q = h + 6. Let s be -2*(-1 + 0) + q. Solve -p = -1, -l - p - 15 = s*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = d**2 - 122*d + 3084. Determine f(85).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 224 = -4*g, u = -4*g - 0*g + 36. Does 13 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 227507\/95818 + -10\/2083. Let h = i - 20\/23. Is h < 28\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -220436, 1.9, -4.\nAnswer: -220436, -4, 1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 63\/8 of a centimeter in micrometers?\nAnswer: 78750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1\/88 + -221\/88. Find the common denominator of 57\/(-9)*(-6)\/(-10) and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(350)*1*5 - sqrt(350)) + sqrt(350))\/(sqrt(7) + (sqrt(70)\/sqrt(2))\/sqrt(5)).\nAnswer: 25*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1021212 - 21101?\nAnswer: 1000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1506871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -34 (base 9) in base 10?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/9, 134\/7, 2\/13, 2, 0.2 in decreasing order.\nAnswer: 134\/7, 2, 0.2, 2\/13, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -14*5018\/(-91) - (-1 - (-2)\/(-2)). Solve -768*i = -l*i - 12 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -14*g + 4. Suppose -3 + 0 = 3*v - 3*y, -3*v + 4*y = 2. Let p be z(v). Calculate the greatest common divisor of 48 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11c639 (base 13) to base 9\nAnswer: 721105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1)\/(-2) + (-162)\/4. Let t = i + 93. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in twenty-one halves of a centimeter?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -20*h - 3. Let a = -4 + 7. Suppose -3*r - 23 = 4*o, 5*r - 8 = a*o - 27. Is l(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 62\/507 and 61\/312.\nAnswer: 4056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 80974\/9755 - 3\/3902. Calculate the common denominator of t and 8\/33.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -4104930498 and 1?\nAnswer: 4104930499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 240169497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(19) + -1)*4*-6 + -5*sqrt(228)\/(sqrt(108) - sqrt(12)).\nAnswer: -53*sqrt(19)\/2 + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 40*c**3*k**2*n - 35*c**3*k*n*v + 11*c**3*n*v - c**3*n - 13*c*k**2*n + k**2*n*v + 5*k*v wrt k?\nAnswer: 80*c**3*n - 26*c*n + 2*n*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n - 3*x = -21, -4*n + 38*x = 33*x - 10 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 93.9255 grams?\nAnswer: 0.0000939255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 855 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4 in 0.4, -0.1, -2\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 17*y**2 + y. What is the lowest common multiple of 20 and a(-1)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 89478?\nAnswer: 2, 3, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (120*(-111)\/(-6660))\/(8\/(-132)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 2*n = 7 + 29, -12 = -2*j - 2*n. Suppose -1 - j = -3*g. Is g equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2 - 1.5. Suppose 20 = -j - 0. Let p be (-6)\/j*(-12)\/9. Which is the biggest value?  (a) -4  (b) p  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4 + -2 - 4) + (9 - 6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 181 minutes after 3:04 AM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 9423 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -524506 - -5022?\nAnswer: -516454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that -a**4 + 439*a**3 + 12510*a**2 + 33552*a = 0.\nAnswer: -24, -3, 0, 466","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0 and 59?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -6155, -12312, -18469?\n\"Answer: -6157*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -1306863.4647 to the nearest ten thousand.\nAnswer: -1310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 times 10.64509?\nAnswer: -4.258036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 98\/((-4)\/(-4)) + -1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -25*m**3 + m**2 + 2*m + 1. Let k = 24 - 25. Let x be u(k). Solve 5*q = -4*a - x, -2*a + 11 = -3*q - 4 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 16 - 11 - (3 + 127). Let p = 838 + j. What are the prime factors of p?\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1258 (base 9) in base 12?\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1020 + -220111100?\nAnswer: -220110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -c**2 - 5*c - 334. Let v(k) = k**2 + k - 1. Let a(w) = -u(w) - 2*v(w). Does 48 divide a(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-24)\/(-15)*3\/(-212)*(-5010)\/1503.\nAnswer: 4\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 53 + -48. Find the second derivative of 22 - 27 + 60*u**4 + 39*u + n wrt u.\nAnswer: 720*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -67*g**2 - 805*g - 56. Calculate q(-11).\nAnswer: 692","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) be the second derivative of -c**5\/20 - c**4\/4 + 3*c**2\/2 + c. Let t(p) = -p**2 + 4*p + 2. Let k be t(4). Suppose -k = b + 1. Give n(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -86, 2\/9, 482, 0.04, 0.3?\nAnswer: 482","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -51*h - 2. Let s(x) = x. Let u(q) = 5*s(q) + w(q). Let v be -1 + (4 + -2 - 2). What are the prime factors of u(v)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -2*v**3 - 5*v**2 + 3*v - 113. Is s(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = n**3 - n**2 + 2295*n - 9202. Determine t(4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 5200 and 4240.\nAnswer: 275600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8\/(-6))\/2*1848\/(-176).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 23 - -14. Let s = 0.907 - 0.707. Which is the second biggest value?  (a) m  (b) -1\/4  (c) -0.2  (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -50 - -65. Solve -4*i + i = f for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 539 minutes after 7:19 AM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in thirty-three fifths of a tonne?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*t - 5. Let y be 15\/t*(13 - 12). Suppose -y*o - 6 = -18*o. Solve 3*m - 18 = 3*d, 6*d - 2*d = -o*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -7173, -57467, -193981, -459825, -898109?\n\"Answer: -7185*d**3 + d + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -2*k, -2*c + c + 3*k = -13. Let y(b) = 5*b + 7. Let s be y(c). What is the third derivative of 32*o**2 - s*o**2 + 32*o**2 + 13*o**4 wrt o?\nAnswer: 312*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:05 PM and 4:06 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -b**3 - 7*b**2 + 2. Let t be h(-7). Suppose 0 = 5*l + 2*m - 3*m - 9, 2*l = 2*m + t. Let p(q) = 10*q**2 - 2*q + 1. Is p(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (2*(5 + -176))\/(-1*2)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4\/(-10) + 2 - 6\/(-15). Solve 0*c - i = -2*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*v**3 + 1472208*v**2 - 135457857972*v - 812800148184.\nAnswer: -4*(v - 184029)**2*(v + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 15 + 6\/(-5)*55380\/(-639). Let g(q) = -3*q**3 + 2*q**2 - q. Let l be g(-2). Calculate the greatest common factor of l and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = 3*o - 20. Is o a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*n - 5*n + 2*n)*(-2 + 4 - 3) + 2*n - 4*n + n + 0 + 0 - n + (3 - 2 - 2)*(6*n - 3*n - n).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -22 - -16. Put 5, -4, 0, l in increasing order.\nAnswer: l, -4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -22443 - -2310?\nAnswer: -20133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -11\/47763?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6 + -10 - -1*47?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -64\/25125 and -119\/16750.\nAnswer: 50250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 3753, 5927, 8101, 10275, 12449, 14623?\n\"Answer: 2174*m + 1579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (348\/(-24) + 15)\/((-1)\/14).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1311176 to the power of 1\/2, to the nearest integer?\nAnswer: 1145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 15  (b) -4  (c) 0.1  (d) -2\/27  (e) 1482  (f) -15\/4  (g) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 481519.2um to millimeters.\nAnswer: 481.5192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5 - 4. Let h = -13.7 - -92.7. Let n = h - 79. Which is the nearest to n?  (a) 1\/2  (b) 2  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -2*k**2 - 13*k - 11. Let z(m) = m + 1. Let s(c) = -r(c) - 4*z(c). Determine s(-6).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*n - 18 = 38. Let g be (88\/n)\/(-8) + -1. Factor 20\/7*w**2 + 16\/7*w - g.\nAnswer: 4*(w + 1)*(5*w - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*v - 9*m + 419 - 392, -m = -5 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 12 and 28184?\nAnswer: 84552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -1.4  (b) -1\/5  (c) 14\/29  (d) -0.049  (e) 8  (f) 2\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3 + 3 - 2*n**2 + (1 + 3 - 1)*(0*n + 2*n**2 + 0*n).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 151 - 753\/5. What is the nearest to 0 in o, -3, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 plus -41304041845?\nAnswer: -41304041849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6\/5?  (a) 0.1  (b) 1\/3  (c) -0.5  (d) 3  (e) -1.15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 2*a**3 + 161*a**2 - 79*a + 172. What is p(-81)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-36)\/(-10)*-3*(-30)\/36. Let b be 493\/k - (2 - (-20)\/(-9)). Let h = 57 + b. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (sqrt(2057) - (0 + -1 + sqrt(2057))) + 0 + ((sqrt(2057)*-1 - sqrt(2057)) + 0 - sqrt(2057)) + 5 + -4)**2.\nAnswer: -66*sqrt(17) + 18514","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 3*m**2 - 6*m. Let w(b) = -4*b. Give w(y(r)).\nAnswer: -12*r**2 + 24*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*r**3 - 19*r**3 - 5*r**3.\nAnswer: -35*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 89 - 79. Suppose -21 - 59 = 2*i. Let b be (i\/6)\/(10\/(-150)). What is the greatest common divisor of u and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 248 = -608. What is the greatest common factor of z and 340?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -173.9 - -173.99. What is the biggest value in -4, q, 1, -9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 611 and 1937?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*z**2 - z + z + (-z - z + 4*z)*(z - 5*z - 3*z) + 0 + 0 - 3*z**2 - 2*z**2 + 13*z**2 + 0*z**2 to the form c + g*z**2 + d*z and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide -851235 by -56749.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -933\/494 - -1009\/494. Let -2\/13*x**3 + 0 + 12\/13*x - g*x**2 = 0. What is x?\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/190 in 0, 4\/9, 0.4, -1.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4150470.365258 + 0.5.\nAnswer: -4150469.865258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 67 + -40. Suppose -4*l + 2 = -6. Let x be (1 - 1)\/(l\/(-1)). Solve 3*p - d = -4*a - 0*a, 2*p - 5*a + 5 = x for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in v + 139184 - 139184.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g**(4\/5))\/((g\/g**4)\/g))**(5\/9) assuming g is positive.\nAnswer: g**(29\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 155 - 220. Suppose -22 = -4*z - 90. Let w = z - c. Is 7 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -22*x - 2. Let b be r(-1). Suppose -w = -5*y - 18, -b = w + w + 4*y. Is -347*(-5 - (3 + w - 1)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 122 a factor of 372573809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (-40*(-28)\/70)\/((-7)\/((-28)\/8))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 2*p**2 - 5*p + 2. Let z(j) = j. Give -r(a) - 6*z(a).\nAnswer: -2*a**2 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((h*h**(-29)*h)\/(h\/h**2))**(-1\/6))**(-2\/29))**30 assuming h is positive.\nAnswer: h**(-260\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(95)\/((sqrt(240)\/sqrt(6))\/sqrt(8)).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -q**2 - q - 8. Let m be g(0). Let c be (-2 - 0)*12\/m. Let p = c + -2. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.86*0.01531.\nAnswer: 0.0284766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = s - 21. Suppose -15*p + s*p = 0. Solve 6 = 3*l - p for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -4*j**2 - 2 - 2*j**3 + 0*j**3 + j**3. Let z(p) = -p. Let v be z(-3). Let l(m) = -m**3 - 4*m**2 - m - 3. Let a(y) = v*l(y) - 2*u(y). Determine a(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 11218395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Product of 59263449 and 1.\nAnswer: 59263449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 291 or 294?\nAnswer: 291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 70c (base 15) to base 2\nAnswer: 11000110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -11.4280399 to two decimal places.\nAnswer: -11.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 310 minutes after 5:33 PM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 234269921\/141675282 + -40618\/14233. Let t = -49081031\/711 + 69031. Let p = q - t. Calculate the common denominator of -89\/10 and p.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*g**2 + 820091240*g - 33627482096236880.\nAnswer: -5*(g - 82009124)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 2*l**3 - 4*l**2 + 8*l - 24. Calculate j(4).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 27*j - 1 - j**2 + 27*j - 54*j to the form s*j + l + n*j**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 17.4 - 17. Let k = 0.3 - j. Which is smaller: -0.5 or k?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 3*j**3 - 2*j**2 - 2*j + 4. Let t(o) be the second derivative of o**5\/20 - o**4\/12 + o**2\/2 + 492*o. Give -4*t(v) + x(v).\nAnswer: -v**3 + 2*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 3 * -14.5433\nAnswer: -43.6299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 35366.73 litres in millilitres?\nAnswer: 35366730","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(-32)*r**(-1\/5)*r*(r**(6\/19)*r*r*r*r)**(-1\/45) assuming r is positive.\nAnswer: r**(-26758\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -76429, -76672, -76915, -77158?\nAnswer: -77401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6205\/362 + 14\/543. Find the common denominator of d and 89\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-5)\/45)\/(((-1)\/(-6))\/(-1))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*u**3 + 13410*u**2 - 14945364*u - 90155592.\nAnswer: -3*(u - 2238)**2*(u + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1.16 + -0.16. Let u = 0.4 - 0.5. Let f = -0.02 - -0.42. Which is the closest to g?  (a) 2  (b) u  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -17\/53 + 577\/477. Let -8\/9*q**2 + 50\/3*q**5 + f*q + 0 + 80\/9*q**4 - 86\/9*q**3 = 0. What is q?\nAnswer: -1, -1\/3, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) be the first derivative of -3*a**2\/2 + 2. Let n(g) be the first derivative of g**3\/3 + 1. Calculate y(n(p)).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/6)\/(((-22)\/715)\/(12\/(-10))).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -22 + 22 + 3*g**2 - 2*g + (-2*g + 0*g + 0*g)*(g + 0 + 0) + g**2 - 2*g**2 + 2*g**2.\nAnswer: 2*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 11 (base 4) to base 8\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4 - 1)*(-4 - 2 + 4)*(3*b**3 - 2*b**3 + b**3).\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*o + 2*o - o)*(0*o**2 - 2*o**2 + o**2) - 4*o**3 - o**3 + o**3 + 18*o - 36*o + 24*o**2 + o**3 + 19*o.\nAnswer: -2*o**3 + 24*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Add together 4168 and 88.\nAnswer: 4256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -1 + 2*(-5)\/(-5). Let o(s) = 8*s + 3. Let g(d) = d + 1. Calculate a*o(w) - 6*g(w).\nAnswer: 2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) be the second derivative of 5*r**3\/6 - 6*r**2 + 10*r. Is 11 a factor of f(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 8, b: 1, v: 9, t: 2}. Give prob of sequence svv.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17883737?\nAnswer: 53, 263, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*u + 4*w - 19, -10*u + 8*u - w + 2 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 4644103219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2100*c + 3640*c - 1147*c)*(-3*c + 0*c + 2*c).\nAnswer: -4593*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.5, -78, 3, -3, -1\/14 in descending order.\nAnswer: 3, -1\/14, -0.5, -3, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vkkvvvvkvvvvvvvv. What is prob of picking 4 v?\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*n + 161 + 203 = 0. Calculate the remainder when 193 is divided by n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that q**3\/2 + 4171*q**2 - 41731*q\/2 + 16694 = 0.\nAnswer: -8347, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -639 = 2*s - y, 2*s + 1602 = -3*s - 2*y. Let t be (6\/s)\/(1 + 45\/(-18)). Do t and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 6*w - 2. Let b be t(0). Suppose v = 3*n - 4*v + 2, 4*v = -4*n + 8. Let j(p) = 2*p - 2. Let x(l) = l**3 + l - 1. Give b*x(m) + n*j(m).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 299 divide 11592529?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -14.2 + 14. Put -1, 4, m in decreasing order.\nAnswer: 4, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4588490411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -586, -10, -2269 in descending order.\nAnswer: -10, -586, -2269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-260)*-8)\/((-46)\/230).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 263482?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -25347, -50674, -76001?\nAnswer: -101328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 3 a when four letters picked without replacement from aeaaaaae?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 40 + -28. Suppose 3*v - 5*v = -f. Calculate the highest common divisor of v and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -1 + (-128)\/(-156) + 18\/(-117). What is the closest to d in -5, -2\/9, -5\/2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/(-1)*(-220)\/990.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1461.91 - -1452. Let t = -0.09 + j. Let y = t - -10.00000029. What is y rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*u - 9 - 23. Let a = -9 + u. Suppose a*x - 663 = 3*x - 5*s, -5*x - s + 834 = 0. What is x rounded to the nearest ten?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:55 PM and 4:25 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -543 - 301 = 4*g + 5*s, 224 = -g + 2*s. Calculate the least common multiple of 3\/(-7) + g\/(-63) and 11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -630 - -15.\nAnswer: -615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1714627\/36 - 47632. Find the common denominator of -61\/18 and u.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3527935837?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-172 - -152)*((-3)\/(-15) + -1).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 1362 + h**3 + 1059876*h + 3*h**3 - 1059878*h + 2902 as v*h**3 + g + s*h + w*h**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 1 x when two letters picked without replacement from xcrxicrriccci?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 178 is divided by 56?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 4*m - m + 5*l, 0 = 4*l - 4. Suppose m*z - 104 = -4*z. What is the remainder when z is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.03772 + -0.14772. Let n = -0.06 - 0.1. Let y = n + d. What is y rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 80 and 32460.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = k**3 - 4*k**2 + 3*k - 5. Let i be (12 - -9) + (0 - 1). Let q = i - 14. Is h(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -5*p**2 + 2*p + 4. Let i(j) = j**3 + 16*j**2 - 5*j - 11. Let d(c) = -4*i(c) - 11*w(c). Let q(b) = 5*b**3 + 10*b**2 + 3*b. Determine 3*d(o) + 2*q(o).\nAnswer: -2*o**3 - 7*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -457 + 812. Suppose 10*r - v = 1045. What is the highest common factor of 56 and r?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -5*f. Let s be 9\/2 - (-2)\/4. Let d = s - 4. Give b(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -16.4 + 16.5. Let t be (-20)\/24 - (-2)\/6. What is the closest to t in -0.4, y, 0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -313046 divided by -811.\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (28 - 3) + -14 - (7 - 4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l**(5\/2)*l)\/l)\/(l\/l**28)*l**(-7)\/l**(-2\/17) assuming l is positive.\nAnswer: l**(803\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(27)*3 - (sqrt(3) - (sqrt(75) - sqrt(75)*-1)).\nAnswer: 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = q**3 - 9*q**2 - 3*q - 5. Let m(w) = -w**3 + 13*w**2 + 4*w + 7. Let n be (4\/(140\/(-49)))\/((-4)\/20). Calculate n*b(o) + 5*m(o).\nAnswer: 2*o**3 + 2*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-8)\/(-2))\/((-1)\/(-2)). Suppose 4*s - t = -2*g - 0*s, s - 17 = 2*g. Let k be (18\/g)\/(2\/(-2)). What is the highest common divisor of 9 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 41813 is divided by 891?\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/a**(-3\/8)*a*a\/(a**(-1\/5)*a*a))**(3\/2) assuming a is positive.\nAnswer: a**(189\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (1351\/(-5))\/((-12)\/(-10)). Let q = v + 226. Find the common denominator of q and -119\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -27 + 26*n**3 + 47*n**3 + 21*n**3 - 36*n**3 wrt n.\nAnswer: 174*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2 - -6. Let f be (-279)\/(-5) + y\/(-5). Suppose 11*m - 16*m = f. Let t(i) = 31*i**2 + 11*i - 11. Let n(d) = 6*d**2 + 2*d - 2. Determine m*n(a) + 2*t(a).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -2\/61, 1, 0.1, -6750\/11, -0.9, 3\/7, -5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1143 and 254.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*x - x - 15. Let s(n) = 3*n**2 + 8*n - 10. Let m be s(x). What is the tens digit of m + (4 + -5 - -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -7742 - -7738. Put -421, s, 0.4 in descending order.\nAnswer: 0.4, s, -421","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 8 + -6. Find the second derivative of -7*l**2 - 9*l**r + 6*l - 4*l**2 wrt l.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.04 + 4.96. What is the smallest value in q, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 12*d - 10*d. Suppose 3*v = 22 - d. Solve -v = q - 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1138913 and 221495?\nAnswer: 1429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pdpp when four letters picked without replacement from ppcppppvcpdpp.\nAnswer: 21\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -3144424 (base 5) in base 13?\nAnswer: -1b239","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -5*f - 16. Let u = 19 + -10. What is the least common multiple of u and t(-4)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -b*w**4 - 2354200*b*w**3 - 1313*b*w**2 - 3*b - 58*w**2 - 2*w wrt w?\nAnswer: -24*b*w - 14125200*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4176 and 105759810.\nAnswer: 846078480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 161 - 155. Let m(o) = -o**2 - 7*o - 3. Let t be m(-5). Suppose -3*x + t + 8 = 0. Solve -4*a + x*p = -u, -5*a = -3*a + 5*p + 12 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (9\/(-6))\/((-1599)\/164)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 60 (base 9) to base 15\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 790 by 5.\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -11*q**2. Let t(j) = 16*j**2 + 2408*j. What is t(g(s))?\nAnswer: 1936*s**4 - 26488*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -489782 divided by -1?\nAnswer: 489782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((1 + sqrt(1008) + sqrt(1008))*-4)**2.\nAnswer: 4608*sqrt(7) + 387168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 5128 (base 14) to base 2\nAnswer: 11011010000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1 - 0 - (-10)\/15*30. Suppose 4*d = -3*d - t. Let g be 5 + d\/2*2. Solve -5*u - g + 22 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 510 + -17037?\nAnswer: -16527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 41.93 + 76.62. Round w to zero dps.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (59 + 0)*(19 + -18). Let r = -47 + i. What is the second derivative of 5*q - r*q**2 + q**2 - 3*q**2 + 5*q wrt q?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*c**3 - 326*c**3 + 324*c**3 - 4*c**3.\nAnswer: -11*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 7*r + n - 228 = 0, 0 = 5*n - 15. Suppose 0 = 5*f - 2*f - r. Calculate the remainder when 57 is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -0.2, 5, -21, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-1 + (10 - 10))\/(1\/(-508))?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 85229 is divided by 112?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 166837067\/118 + -1413887. Let y = c - -3\/59. Let w = -360187\/52 + 6926. What is the common denominator of y and w?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -34335, -3867, 4 in descending order.\nAnswer: 4, -3867, -34335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = u**3 - 2*u**2 - 12*u + 509. Is 35 a factor of c(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.5370504 milligrams to nanograms.\nAnswer: 537050.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -34182 - 37694 - 17*f**2 + 17*f**2 - f**3.\nAnswer: -f**3 - 71876","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -9210 rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 8412, 7677, 6942, 6207, 5472, 4737?\nAnswer: 4002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-170 - 1) + -6198 + 6240.\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + 2\/((-48)\/(-4))*(1 - -37).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -2*x**3 - x. Suppose -d + 24 = 2*d. Suppose 0 = -3*a + 2*u - 5 - 0, -d = 4*a - 4*u. Let o be z(a). Solve -3*l = w - 7, -2*w + 5*w + 27 = o*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bc when two letters picked without replacement from {h: 1, b: 6, c: 1, k: 4, l: 4}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 247 is divided by 69?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4\/24 + (-453)\/18. Let d = g - -60. What is the remainder when 173 is divided by d?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -32 * -8.37298.\nAnswer: 267.93536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Do -0.64534 and 1040 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) be the first derivative of y**3\/3 - 4. Let b be (-2)\/9 - 40\/(-18). Let w(p) = b*p + 0*p - 4*p. Calculate r(w(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.108291 to three decimal places.\nAnswer: -0.108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -9232*x + 9987. Let t(w) = -3077*w + 3336. Let q(b) = 6*g(b) - 17*t(b). What is the first derivative of q(j) wrt j?\nAnswer: -3083","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 2439*q**2 + 183. Let v(h) = 4*h. Determine v(i(y)).\nAnswer: 9756*y**2 + 732","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - 8 = -5*q, q + 11*g + 4 = 9*g. Find the third derivative of -4*l**2 - 1 + 7*l**2 - 11 + 2*l**4 + q*l**2 - 4*l**6 wrt l.\nAnswer: -480*l**3 + 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-116)\/(-754) - 7\/(182\/(-48)))\/(-8).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -41, 2, -2, 4, -5463 in ascending order.\nAnswer: -5463, -41, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 1 = -3*a, -5*a + 3*y + 25 = -2*y. Suppose -a*w = -6, w - 29 = 4*k - 3. Let d = 5 - k. What is the greatest common divisor of 77 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1 + -1402013042?\nAnswer: -1402013041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -368*x - 7412. What is t(-20)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 88\/((-235840)\/(-235907)) + -88.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that -12\/7*c**4 + 6\/7*c**2 + 0 + 0*c + 3*c**3 = 0.\nAnswer: -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 27, -14, -2717 in descending order.\nAnswer: 27, -14, -2717","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -60572811, -60572820, -60572829, -60572838?\nAnswer: -60572847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 2 + 4 = 2*n, 0 = -l - n. Let b be 0\/l - (-209 + -2). Suppose 2*u - 845 = -b. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor s**3 + 2149*s**2 + 29939*s + 104615.\nAnswer: (s + 7)**2*(s + 2135)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 0 - (-7 + -2) - (6118 - 6198)\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = w**3 + 29*w**2 + 31*w + 96. Let a be p(-28). Suppose 15*f - a*f = 1710. What is the hundreds digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3665 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-116 - -187) + 104 + -156?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 20 = z, -5*z + 0*z + 100 = -3*o. Solve z = 56*l - 61*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(405)*-2 + sqrt(405) + 1)**2 - 3*(4*sqrt(405) + sqrt(405)).\nAnswer: -153*sqrt(5) + 406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:54 AM and 12:03 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (2 - 1 - -4) + (32 - 42). Let m(g) = -30*g + 45. Does 13 divide m(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/21, 3.3, 1.94 in decreasing order.\nAnswer: 3.3, 1.94, 2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 40*a**2 + 16*a - 1. Let p be f(-4). Let v = p - 348. List the prime factors of v.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2111*i - 17856*i - 739348 = 2389*i + 1509268 for i.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 69098?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.19 + -2.51. Let b = 0.3 - h. Let w = -5 + b. What is the closest to w in 0, -0.5, 2\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 38113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*r**2 + 134500*r - 904512500.\nAnswer: -5*(r - 13450)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 6, e: 1, o: 4, s: 6}. Give prob of sequence oe.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -34 + 29. Let d(s) = -s - 2. Give d(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -753500 + 756031.936. Let w = 2516 - b. Let v = w + 16. Round v to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -12 and 29929546.\nAnswer: -359154552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8485 = 2*p + 5*w, -p = 2*p - 4*w - 12716. Suppose -2*u + 12*u = p. List the prime factors of u.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = 36 - 12. Suppose -6 = r*d - 14*d. Solve 0 + 6 = -d*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -1227*s - 838. What is the thousands digit of r(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-80*h + 7582 - 2559*h - 7582)*(-1 - 3 + 3) to g*h + i and give g.\nAnswer: 2639","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -6\/5  (b) 1\/2  (c) -0.0744  (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3217\/60 - (-6)\/(-8). Let t = c + -53. Which is smaller: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is w in -w**2 - 6\/5*w + 0 - 1\/5*w**3 = 0?\nAnswer: -3, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2203 or 2521?\nAnswer: 2203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 + -12 - 0 - -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -6029 + 6029.0000054196. What is h rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -92 by 7303.\nAnswer: -92\/7303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 121\/40 and (3\/36)\/((-197)\/(-194) - 1).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 2 m when three letters picked without replacement from {t: 2, m: 10}?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10*o**4 + 4*o**4 + 2*o**4)*(0 + 3 - 1)*(0*o + 4*o - 7*o).\nAnswer: -96*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 68 = -31*v - 211. Find the common denominator of 134\/v*(0 + 2\/(-8)) and 97\/(-40)*(-4)\/14.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*a**2 - 20*a - 480.\nAnswer: 5*(a - 12)*(a + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g = -2*g + 104. Let s(p) = p + 4. Let q be s(-2). Suppose -4*y + 2*y + g = 3*r, -5*r + q*y + 92 = 0. Calculate the remainder when r is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 10}. What is prob of sequence cc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -31\/1157148 and -47\/3?\nAnswer: 1157148","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Is 36162223079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 17*f**2*p**2 - 35*f**2*p - 2*f**2 - 131*f*p**3 + 2*f*p - 5*p wrt p.\nAnswer: 34*f**2 - 786*f*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -13*g + 10. Let v(i) = i - 1. Let f(u) = 3*v(u) + z(u). Let w(d) = -d + 1. Let b(l) = f(l) - 5*w(l). Calculate b(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -83*q + 11 = -84*q for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - p = -0*p + 3, 9 = -3*t - 3*p. Suppose 3*s - a - 4*a + 35 = t, -3*s - 5*a + 5 = 0. What is the units digit of (s - -3)*(-2)\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5977, 5999, 6021?\nAnswer: 6043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 92 minutes after 1:26 AM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -45231 - -45223.99936. Let z = 7 + v. What is z rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**2*d)**(-9\/7)*d\/(d*d**3*d)*((d**(2\/5)*d*d)\/d)\/d*(d**(2\/35)*d**(1\/12))**(-16\/3) assuming d is positive.\nAnswer: d**(-517\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*g - g + 8*g)*(-9 + 22 - 30 + (3 + 2 - 3)*(5 + 1 - 2)).\nAnswer: -63*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1661122113.\nAnswer: 3, 7, 167, 473659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jsssjjssjjsj. What is prob of picking 3 s?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.003381191136 to 7 dps.\nAnswer: 0.0033812","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (37\/925*9)\/((-2)\/10)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 1 - 2)*(-3*c**2 + 2*c**2 - c**2) + 0*c + c**2 + 0*c - 43*c**2 + 41*c**2 + 27*c**2 + (-5 - c + 5)*(-2 + 2 + 2*c).\nAnswer: 26*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(2\/25)\/(k\/(k\/k**(-13\/4))*k)*k\/k**(6\/5)*k**7\/k assuming k is positive.\nAnswer: k**(813\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 41*y**2. Let u(v) = 490*v**2. Determine p(u(h)).\nAnswer: 9844100*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (510 + -1)\/(10\/(-4 - -14)). Let s = 672 - f. Does 2 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17\/44 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/(-1)*586*1\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -3, 127, 531, 1347, 2713?\n\"Answer: 23*m**3 - m**2 - 28*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.5, 5.009, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -53647 take away 29394?\nAnswer: -83041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 116 is divided by 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 285222?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -9.78115 + 51.7798. Let t = -42 + p. Round t to 4 decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -9\/2 in 0, -2, 3862?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = -0*z - 2*z + n, -5*z - n + 23 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 7 + 1 - 153*a + 157*a + 6*a**3 in the form k*a**3 + x + w*a + d*a**2 and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -11*p**2 - 6*p - 7. Give g(2).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -10108315 divided by -2021663\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = 3*g - 20. Let k = 35 - g. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*k**2 + 5*k**2 - 6*k**5 - 37*k**4 + 9*k**5 + 37*k**4 + (k**2 - 4*k**2 + 4*k**2)*(0*k**3 - 2*k**3 + 3*k**3).\nAnswer: 4*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 546937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) be the third derivative of -a**5\/75 - 53*a**4\/15 - 5618*a**3\/15 - 208*a**2 - 2. Suppose t(c) = 0. What is c?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (3*64\/(-60) + -2)*-5. Suppose 4*w = -2*z + t, -2*w = 2*z - 0*w - 18. Solve -4*x + 1 = -z*h - 3, -2*x + 2 = -3*h for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -415*a**3*g**2 + 2*a**3 + 2*a**2*g**3 - 148*a**2 wrt g.\nAnswer: -830*a**3*g + 6*a**2*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-39 + 3 - 10)*(-2*k - 2*k + 2*k)*(-k**2 + 2*k - 2*k).\nAnswer: -92*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1132 in 163, 3\/7, 0.3, -1?\nAnswer: 163","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -14 + 14.2. Let z = 2.2 - u. Which is smaller: z or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 435?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 5353012099 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 363 + -397. Put 1, -1, n in decreasing order.\nAnswer: 1, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -32 + 34 + (0 - -2 - 2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 9957, 19937, 29939, 39963?\nAnswer: 50009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 135 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8878\/(-460) - -19)\/(0 + (-3)\/4).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ckc when three letters picked without replacement from {c: 3, k: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 4618.652ms in microseconds?\nAnswer: 4618652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 26 + 1a37a?\nAnswer: 1a3a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Is 92 a factor of 119760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -1024203 (base 12) in base 13?\nAnswer: -823374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 101*v - 1 - 1261*v**4 + 1 + 1275*v**4 wrt v.\nAnswer: 168*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2)\/9 - (-1 + 1). Let f = 682.8 - 682.3. Which is the third smallest value?  (a) f  (b) 3  (c) o  (d) -7\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8.81964s to microseconds.\nAnswer: 8819640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1491014297 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sum 1.235094 and -76.\nAnswer: -74.764906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5)\/((-70)\/4)*27\/27?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -4\/3, -1.2, 0 in ascending order.\nAnswer: -4\/3, -1.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 12 + o - 20 + 5 + 9. Let w be f(-2). Suppose -w*x + 8*x = 0, 3*s + 4*x - 48 = 0. Does 4 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2908 divided by -4\nAnswer: -727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*-1.42.\nAnswer: -2.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -k + 3. Let b(y) = -y + 3. Let g(n) = -3*b(n) + 2*m(n). What is the lowest common multiple of 1 and g(14)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -103 + 223. Let l = j - 56. Calculate the highest common divisor of l and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (2 + -5)*(-8432)\/6 + 4. Let p = -2463 + c. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23 = -5*c + 8. Let m be 2\/(6\/(-15))*(6 + -5). Put c, 3, m in descending order.\nAnswer: 3, c, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*t + 4*b = 18*t - 25, 0 = 2*t - 20*b - 74 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 947201.8 micrometers?\nAnswer: 0.0009472018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, 1, -1, -15, -5 in decreasing order.\nAnswer: 1, -0.5, -1, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) be the third derivative of -l**7\/630 + l**5\/120 - l**4\/12 + 4*l**2. Let j(q) be the second derivative of h(q). Find the first derivative of j(w) wrt w.\nAnswer: -8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 30 divide 30234480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 3, r: 5, n: 1, g: 7}. Give prob of picking 1 u and 2 g.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = 4*a**3 - 7*a**2 - 5*a - 3. Let x(m) = 4*m**3 - 6*m**2 - 4*m - 4. Calculate -4*j(y) + 3*x(y).\nAnswer: -4*y**3 + 10*y**2 + 8*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 29\/1928 and 85\/4?\nAnswer: 1928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (15 + 16 - 92 + 33)*(-144*n**3 + 16512*n - 16512*n) in the form j + y*n**3 + p*n + t*n**2 and give y.\nAnswer: 4032","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Let r(u) be the second derivative of -u**6\/40 + 19*u**3\/6 + 7*u**2 + 8*u. Let a(k) be the first derivative of r(k). What is the first derivative of a(f) wrt f?\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1133000 to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9551*n + y = 9549*n + 2, 5*y - 50 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*b + 0*b**2 + 4*b - 2*b**2 + 2 + 57*b**3 - 8 + 3*b**2 to t*b**3 + u + h*b + f*b**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirteen quarters of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7675*l - l**3 + 7905*l - 15580*l.\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o - 5*o - 10 = 0. Let l be 5\/o*8\/(-70). Let w = -365507\/7 - -52215. Put w, -5, l in ascending order.\nAnswer: -5, w, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 128*t**3*u**3 - 11950*t*u**3 - 697934*u**3 + u wrt t.\nAnswer: 384*t**2*u**3 - 11950*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -1166*i**2 + 5994*i - 819. Determine r(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 68330.74 millilitres to litres.\nAnswer: 68.33074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -255.364 + 255.1. What is the closest to 1 in 0.3, 0.2, o?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 14981 + -10257. Is 134 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*t - 3*u - 21, 4*t - 28 = -3*u + u. Solve -20 = 3*b - t*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 11\/4  (b) -3  (c) 1  (d) 374\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 175\/100*(-12)\/(-1 + -2). Is 15 a factor of (-379 - n)*(-4)\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 58 + -60.24. Let f = m - 2.76. What is the third smallest value in -2\/5, f, -2\/61?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let j = 191 - 106. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - 17 = 5*m - 0*h, 5 = -2*m - 3*h. Sort m, 0.4, -1\/2, 3 in decreasing order.\nAnswer: 3, 0.4, -1\/2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 3*y - 27 = 0, -39 + 16 = 2*u - 5*y. Solve -4*h = n - 12, h = 3*n - u - 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -11, -7, 1, 13, 29, 49, 73?\n\"Answer: 2*s**2 - 2*s - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 4 + 3)*(0*c + 2*c + 2*c)*(0 - c**3 + 0).\nAnswer: 4*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 67\/458450 and 169\/5501400?\nAnswer: 5501400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 540638 is divided by 1221.\nAnswer: 956","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2300138?\nAnswer: 2, 23, 31, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 2c + 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -19\/92 and 143\/1152.\nAnswer: 26496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/5)\/(-3)*3960\/440.\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s**5 + 18692*s**4\/3 + 84865*s**3 - 1881758*s**2\/3 - 8753056*s + 2984160 = 0. What is s?\nAnswer: -6217, -12, 1\/3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 times -5.23\nAnswer: -1.569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (11 - 7 - 0) + -14.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = 4*o - 12, -3*o = -5*n + 6*n - 10. Let m be (-16)\/72 + 37\/45. Which is the biggest value?  (a) n  (b) -1\/2  (c) m  (d) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 193766 and 164.\nAnswer: 387532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.5  (b) 0.2  (c) -46  (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 11*m**4 - 17*m**3 - 11*m**2 + 17*m - 5. Let b(w) = -27*w**4 + 42*w**3 + 27*w**2 - 42*w + 12. Let l(k) = -5*b(k) - 12*f(k). Factor l(x).\nAnswer: 3*x*(x - 2)*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 36 and 5072046426?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 214*0.11.\nAnswer: 23.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*d + 305565 + 2982. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3410 + -124400431?\nAnswer: -124404341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40*z + 3717 = 23*z. Let w = z - 130. Sort -0.5, -5, 4, w in decreasing order.\nAnswer: 4, -0.5, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*l - 30 = 2*l. Solve -4*y + 3*s = 14, 0 = -l*y - y - 4*s - 28 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -m**3 + 4*m**2 + m + 1. Let s be h(4). Let r = 9 - s. Let c(q) = -q**2 + 7*q. Let b be c(6). Solve -r = 2*g + b for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:02 AM and 8:20 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4972771 - -2.\nAnswer: -4972769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 369 is divided by 55.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**6*(t\/t**(2\/13))\/t)\/((t**(-1)*t)\/t**(-5)))\/((t**(-2\/15)*(t\/(t*t**(-4)))\/t)\/(t*t*((t*t**(-2\/5)\/t*t)\/t)\/t*t*t)**26) assuming t is positive.\nAnswer: t**(12788\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -20*s**2 + 37*s - 38. What is x(1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1036\/210 - 5)\/(4\/24). What is the nearest to x in 0.03, 2\/9, 2?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 950 + -434. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1617672 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 bigger than -5\/259?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 64312.74l?\nAnswer: 64312740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 64420752 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -263 (base 7) to base 5\nAnswer: -1033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-12 - (-189)\/14)*(-4)\/4902. Is s less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.51 times -7?\nAnswer: 24.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2220221210212 (base 3) to base 7.\nAnswer: 16131605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 101627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 32913 - 35803 + 88417 - 2*g**2 + g.\nAnswer: -2*g**2 + g + 85527","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2 + 2. Suppose 0 = 2*z + q - 2 - 0, -22 = -2*z + x*q. Let m(f) = -2*f - z*f**2 - 1 - f**2 - f + 3*f**2. What is m(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6442 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/10 of a litre in millilitres?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 6*g**2*r*s - 2*g**2*s**2 - 3*g**2 + 8*g*r*s**2 - 3*g*s**2 + 5*g*s + 284*r*s**2 + 46*r wrt s.\nAnswer: -4*g**2 + 16*g*r - 6*g + 568*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 107553972?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(3 + (sqrt(315)*-1)\/sqrt(7)).\nAnswer: -18 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 11*n**2 + 108*n. Let t(z) = 13*z. Determine x(t(m)).\nAnswer: 1859*m**2 + 1404*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in 4, 19856, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 4948.18 and -0.4?\nAnswer: 4948.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ebeebeeeeeebeebb. What is prob of picking 4 e?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 465 and 37575?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*(sqrt(70) + 2*sqrt(70) + sqrt(70) + sqrt(70)) - (-1*sqrt(70) + sqrt(70))*-6)*4)\/((1*sqrt(8640))\/(-5*sqrt(18)\/sqrt(3))).\nAnswer: 50*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 46900 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -i**2*n**3*z - 964*i**2*n**2 + 50*i**2*n - 2*i*n**3 - i*n**2*z + i*z - 615818*n**3*z wrt n.\nAnswer: -6*i**2*z - 12*i - 3694908*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -193219*c**3 + 64415*c**3 + 64412*c**3 + 0*c + 64411*c**3 + c.\nAnswer: 19*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 69*m**2 + 47*m - 173. Is i(23) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -3332, -28 in descending order.\nAnswer: 3, -28, -3332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + ((-2*sqrt(1331))**2 + 4 - (-5 + (sqrt(1331)*2)**2 + sqrt(1331))) - ((sqrt(1331) + 1 + 3 - sqrt(1331)) + sqrt(1331))**2*1*1.\nAnswer: -1337 - 99*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 14*d + 140. Let h be j(-10). Let b be h\/(-2 - (7 + -7)). Solve -7*s - 26 - 9 = b for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -c**2 - c. Suppose -8*y - 5 = -3*y. Let j(u) = u**3 + 5*u**2 + 2*u - 2. Let h(f) = y*j(f) - 5*x(f). Determine r, given that h(r) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = 6*t - 3*t. Suppose t = -16*x + 17*x - 105. What are the prime factors of x?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (2*(sqrt(120)\/sqrt(10))**2 - (0 + 4*sqrt(192))).\nAnswer: -32*sqrt(3) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -2478 less than 25823?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q - 3*q = 12. Let o(y) = -6*y - 4. What is the tens digit of o(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = h**2 - 7*h + 9. Let t be p(6). Factor 10*k**t + 8*k**4 + k + 2*k**2 - 3*k + 2*k.\nAnswer: 2*k**2*(k + 1)*(4*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -39*q**2 + 3. Let y(i) = 78*i**2 - 6. Let z(h) = 13*o(h) + 6*y(h). Let t(m) be the first derivative of z(m). Let n(c) = 3*c. Give t(n(u)).\nAnswer: -234*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 9702291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b**3\/5 + 2639*b**2\/5 + 25890*b = 0. Calculate b.\nAnswer: -2589, -50, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -a**2 + 3*a - 2. Suppose 3*w = -2*d + 4, 2*w - d = 3*d + 8. What is q(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -840 + 839.7. Let d = 4.14 - 0.14. What is the second smallest value in 10, n, d, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d - 28 = 5*g, -9*g = -7*g - 4*d for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 2\/7  (b) -1\/7  (c) -2\/391\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 2*r = -2, 2*r + 6 = 4*k + r. Let d = 3 - 2. Let x = -4 + 0. Which is the closest to d?  (a) k  (b) -0.4  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 421 + -408. Suppose -14*f - x = -139. What is the greatest common divisor of f and 243?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18123572 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -42*f**3 + 1289 - 1289 - f**4 + 30*f + f**2 wrt f.\nAnswer: -24*f - 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c + 3*d = -27, -2*d + 2 = 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2.4 + -2.8. Let l = 2.95 + 0.05. What is the closest to l in 2, -1\/8, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 - 7291.\nAnswer: -7281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 35 a factor of 19255845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 97*p - 2. Let l be c(5). Suppose -4*b - 135 = -l. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3512304 is divided by 3512295.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*2*((sqrt(891)*2 - (-2 + (sqrt(11)*1 - sqrt(11) - sqrt(11)) + sqrt(11))) + 2 + sqrt(11) + sqrt(11) + 3 + -5)**2.\nAnswer: 320*sqrt(11) + 17616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -g**2 - 4*g - 9. Let x(r) = -2*r**2 - 7*r - 17. Calculate -11*j(h) + 6*x(h).\nAnswer: -h**2 + 2*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.6 + 1.616. What is o rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1290\/1505)\/(-3*7\/(-63)).\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -676848437.2 to the nearest 1000000.\nAnswer: -677000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -240 + 684. Is 6 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 3*k + 5 = -5*l, 0 = 3*k - l - 15. Suppose 4*v - 2*v = k*j + 10, -4*j - 4*v = -20. Solve -s + j*s = 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, -2114, 42\/11.\nAnswer: -2114, -10, 42\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (27\/18)\/((-42)\/8) - (-99600)\/31374?\nAnswer: 26\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*i**2 + 2 + 22*i**2 - 5 + 3.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1720546?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 s and 1 l when four letters picked without replacement from llsslllsll?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -280, -282, -284, -286?\nAnswer: -288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 2, -20, 7575 in descending order.\nAnswer: 7575, 2, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5900 - 429. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1 - 0\/((-2)\/(-1)). Let l(u) = u - 1. Let r(o) = 4*o - 2. Let h(g) = x*r(g) - 3*l(g). Let v = 2 + -8. Let a(f) = -f**2 + 6*f + 6. What is v*h(n) + a(n)?\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 225293461.\nAnswer: 31, 97, 74923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 127\/72 and -65\/27.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1.63 + 7.63. Let s = 0.7 + -1. Sort y, s, -0.2, -2\/15 in ascending order.\nAnswer: s, -0.2, -2\/15, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 15*d**2 - d - 11. Let f(r) = r**2 - 1. What is -22*f(h) + 2*p(h)?\nAnswer: 8*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:30 AM and 7:20 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 4, f: 5, z: 5}. Give prob of picking 2 z.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 435395*v - 435398*v - 55 = -5*u, v + 15 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -96 = -127*n + 123*n. Let s be (28 - n) + -1 + 1. Solve 0 = 2*d - s*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -8*k**2 - 26*k + 2*k**4 + 4*k**2 - 460*k**3 + 458*k**3 + 2 as c*k + i*k**2 + s + q*k**4 + f*k**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1469, -1122, 4.\nAnswer: -1469, -1122, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 65*i - 69*i - 3836 = -4*a, -4*i = 4*a - 3836. Round a to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 36 and 62772?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -844 + 320. Let g = q - -295. Which is smaller: 1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -6*k**2 - 25*k + 1. Let b be o(-4). Solve -4*j = 2*n - 2, j - 21 = -2*j + b*n for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*b**3*q + 46*b**2*q - 7*b*q + 5787*q with respect to b.\nAnswer: 6*b**2*q + 92*b*q - 7*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 24  (b) 1  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -4*v**3 + v**2 + v + 2. Let u(s) = 22*s**3 - 1490*s**2 - 10*s - 12. Give 6*f(l) + u(l).\nAnswer: -2*l**3 - 1484*l**2 - 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -9, -6188, 5 in decreasing order.\nAnswer: 5, -9, -6188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 5*x**2. Let r(o) = -o + 14. Let b be ((-10)\/(-15))\/(2\/36). Let z be r(b). Let p(s) = 0*s**z - 4*s**2 + 3*s**2. Give q(p(l)).\nAnswer: 5*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -88, -149, -210, -271, -332, -393?\nAnswer: -454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 10 = 2*a - 3*a, 5*a = l - 2. Suppose -1 = -p + 2*z, a = p - 4*p + 2*z - 1. Put p, 6, 0 in decreasing order.\nAnswer: 6, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve u - 2*q = 3*u + 4, 1 = -3*u + 2*q for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -0.4, -3, 1145 in decreasing order.\nAnswer: 1145, 4, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve h + m = 0, h - 5*m + 9*m = -6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1568  (b) 0.4  (c) 3\/5  (d) 10\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(2) + -1)*1 - sqrt(2)) + sqrt(12)\/(sqrt(24)\/sqrt(4)))**2*-6 - -4*((sqrt(2) + sqrt(2) + sqrt(64)\/sqrt(2))**2 - (sqrt(2) + sqrt(2) + 0 + 5)).\nAnswer: 4*sqrt(2) + 250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 50320 a multiple of 296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -n**3 - 4*n**2 - 3*n + 4. Let d be w(-3). Let b be (2 - 5) + 21 + -5. Solve 5 - b = -d*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/(-5))\/((-18)\/(-90)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) be the third derivative of -8*l**2 + 2\/39*l**3 + 0 + 5\/156*l**4 + 1\/130*l**5 + 0*l. Factor z(v).\nAnswer: 2*(v + 1)*(3*v + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*w**2 + 0*w**2 - w**2)*(w - w + w**2) + w**4 + 0*w**4 + w**4 - 9*w**4 + 7*w**4 - 8*w**4 + (4*w**3 - 4*w**3 - w**3)*(-2 + 2 + w).\nAnswer: -8*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10953622.\nAnswer: 2, 5476811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 10*h. Let k(n) = 13*n. Let x(u) = -3*k(u) + 4*q(u). Let o(v) = 16*v - 17. Let g(i) = 2*i - 2. Let t(y) = 51*g(y) - 6*o(y). What is t(x(d))?\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 129 + -127. Let n be -1*(u - 1)*65\/1. Let r be -3*(-1)\/(-15)*n. Solve v + j - r = -2*j, -2*j = v - 9 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) be the third derivative of 31*m**6\/120 + 11*m**3\/6 + 34*m**2. What is the derivative of f(i) wrt i?\nAnswer: 93*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 125129 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3097233 is divided by 527.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1102 - 4419. Let n = a + 4678. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate -14 + 28 - 22 - -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4 - -6. Let g(j) = 6*j**2 - 2*j**i - 2*j**2. Let t(b) = 0*b + 3*b - 5*b. Determine t(g(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 97973639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -12*w + 22. Suppose -m = -5*k - 3*m - 31, -2*m + 4 = -2*k. Let v be y(k). Suppose -103 - v = -5*x. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 4*m - 49. Let r be q(13). Solve r*f - 13 = -5*n + 7, 12 = -f + 3*n for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = n**2 - 12*n + 11. Determine r(12).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -40 + 45 + (-44 - (0 - (3 + -3)))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -36.5 - -37. Let d be (2\/(-21))\/(-10 - 62\/(-6)). What is the smallest value in d, 1, 11, a?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 12*o - 15. Let a(l) be the first derivative of l**2\/2 - l + 39. Determine -30*a(y) + 2*x(y).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 38 = 40. Let j = l - -38. Let c(d) = 7*d - 5. Let t(s) = 8*s - 3. Let w(q) = 2*c(q) - 3*t(q). Calculate w(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 28\/3 - 2\/6. Let k(y) = y - 5. Is k(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.14 in 3\/2, -329, -4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-5 + 3 + 42)\/(2\/16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -575 = -4*n - d + 990, 4*d = -4*n + 1568. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39 a factor of 1615841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-6)\/4*(-1632)\/144. Suppose c = -x - 3*a, -5*a = -x + 3 + 12. Sort x, 93, 4 in descending order.\nAnswer: 93, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -4*o. Let t(x) be the second derivative of -x**7\/504 + 7*x**4\/6 - 7*x. Let p(j) be the third derivative of t(j). Give z(p(s)).\nAnswer: 20*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5945, 23741, 53411, 94961, 148397, 213725, 290951, 380081?\nAnswer: 481121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = c**3 + 5*c**2 - c - 3. Let b be n(-5). Suppose -s = -3*x + 9, 4*s = b*x + 7 + 7. Let t = -456 + 459. What is the remainder when s is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = -5*a - 3*a. Suppose -10*m + 41 + 2749 = a. Is 17 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = f + 1. Solve -b = f*a + 4, -4*b + 14 = 2*a - a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -z**2 - 15*z + 152. Let y be a(7). Put 0, 12, y in increasing order.\nAnswer: y, 0, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = t**3 - 15*t**2 + 19*t - 5. Calculate y(14).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 42409?\nAnswer: 42409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*(sqrt(2904) + sqrt(2904)*1)*-5)\/(((-2*sqrt(512) - sqrt(512)) + sqrt(512))*-5 - 4*sqrt(512)*-2))**2.\nAnswer: 3025\/1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-12)\/(-15)*(-5)\/(-2). Let q(u) = -u**3 + u**2 - 1. Let n be q(z). Let r = n - -14. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q + 0*q = 2, 4*n + q + 475 = 0. Let s be (-1)\/4 - n\/28. Solve 3*y - s = 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 426 (base 16) to base 3.\nAnswer: 1110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 782 is divided by 23?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (-217)\/112*4 + (-3)\/(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*y - y**2 + 16*y - 13*y.\nAnswer: -y**2 + 18*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + ((sqrt(1620) + -2)*-2 - 5*(5 + sqrt(1620))))**2*-2.\nAnswer: -159642 - 10584*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -687, -1383, -2091, -2817, -3567, -4347?\n\"Answer: -h**3 - 689*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(-2\/19)\/(a*(a*a\/((((a**(-2\/5)*a)\/a)\/a)\/a*a))\/a*a)*a**(-3\/11)\/(a*a*a**3\/a) assuming a is positive.\nAnswer: a**(-9173\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1560481419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {b: 1, v: 2, i: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z - 65 = 3*v + 70, 5*v = 5*z - 265. Let h = v - -11. Let a = 52 + h. What is the remainder when a is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.5 + -2.5. Let x = m + 1. Let o be (6 - 224\/35)*5. Which is bigger: x or o?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5c14b (base 14) in base 3?\nAnswer: -102110000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 76*g - 71*g - 1590. Let k = -101 + g. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 102820.26 months?\nAnswer: 8568.355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -10*u**2 - 44*u - 52. Let r be d(-7). Round r to the nearest ten.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5459*d - 2251*d - 3060*d.\nAnswer: 148*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - 2*r)*(-r + r - 2*r**2) - 5*r**2 + 5*r**2 - r**3 + (1 - 1 - r**2)*(0*r + 2*r + 0*r) + 2*r**3 - r**3 - 3*r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -0.029 times -5\nAnswer: 0.145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (1 - 1)*1\/(-2). Factor 3*g**4 - 2*g - 4*g**4 + 0*g**4 + w*g**3 + g**2 + 2*g**3.\nAnswer: -g*(g - 2)*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + (-2 - 1) - (5 - 12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) be the first derivative of -y**3\/3 + 2*y**2 - 42*y + 440. Suppose 0 = 3*s - 5*r + 23, r = -5 + 3. Let a be g(s). Round a to the nearest ten.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - -78 - (-187 - -246)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -u + 15. Let z be c(-7). What is the common denominator of 97\/6 and (-4)\/z - (-557)\/220?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5105817 take away 0.2?\nAnswer: 0.3105817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) be the third derivative of 0*q - 1\/60*q**5 - q**2 - 5\/6*q**3 + 5\/24*q**4 + 0. Calculate j(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:31 PM and 9:52 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.21036 to 3 decimal places.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 593 minutes before 8:33 AM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 33787?\nAnswer: 13, 23, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -1\/6  (b) 1\/9  (c) 43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -9126 + 9126.05952. Round w to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 71573 = -5*f, 5*m - 70921 = -3*f - 27958. List the prime factors of f.\nAnswer: 11, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/(-24))\/((-56)\/(-960)*3)?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 25682 and 77046?\nAnswer: 77046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 + q - 4*q + q.\nAnswer: -2*q + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 2*q**2. Let k(m) be the second derivative of -m + 1\/6*m**3 + 0 + 0*m**2. What is r(k(b))?\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5557073?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2411\/77 + 346\/11. Factor 6\/7*x + 1\/7*x**4 - 6\/7*x**3 - h*x**2 + 0.\nAnswer: x*(x - 6)*(x - 1)*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11439 (base 13) to base 8\nAnswer: -75372","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 154 is divided by 56?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*y = 186 - 198. Let m be 5 + 0\/3 - y. Solve -m*q + 24 = 33 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -506 (base 7) to base 9.\nAnswer: -308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10100101110010111011111111 + -1?\nAnswer: -10100101110010111100000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 0.0536964 times 64\nAnswer: 3.4365696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.5196 + -0.0196. Does l = 258?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 less than -106?\nAnswer: -105.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 298658 + -298653. Let y = -7 + 4. Which is the second biggest value?  (a) u  (b) -1.6  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 320.9851 - 321. What is c rounded to three dps?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*t + 2*v - 3 + 22, 2*v - 2 = -2*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*b + 2*i + 43 = -3*b, -2*i - 10 = 0. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = v + 5. Let s be m(17). Let o = s - 30. Let t = -8 - o. Solve t = -w - 0 - 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 >= 2\/104989?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 67904243.\nAnswer: 11, 131, 47123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -3*b + 12. Let w be v(4). Do w and -4\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20591018 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 43158797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 550 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = z**2. Let d(c) = -c**3 - 3*c**2 - 6*c + 5. Let b(a) = -a**3 - 7*a**2 - 10*a + 8. Let r(x) = 3*b(x) - 5*d(x). What is -6*f(k) - r(k)?\nAnswer: -2*k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -6 divided by -97153349\nAnswer: 6\/97153349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 21103422503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -r**2 - 2 + 3*r**2 - 3*r**2 - 4 + 10*r. Let l be h(9). Let y be l\/4*56\/(-105). Which is the closest to -0.1?  (a) y  (b) 2\/9  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -50 - 4*r + 152 - 51 + 23*r - 49.\nAnswer: 19*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 2*o**3 + o**2 - 3*o - 3. Let l(x) = -2*x + 4. Let v be l(3). Let q be b(v). Let y = 6 - q. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -5  (b) 14811  (c) -24\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i - 50034*w = -50029*w + 26, 3*i = -2*w - 5 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -274*o**4 - 20314*o**2 + 20314*o**2 + 2*o**4 + 0*o**4 - o**4 + (2*o**2 + 0*o + 0*o)*(-o + o + o**2).\nAnswer: -271*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1876238 - 5?\nAnswer: -1876244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2165.\nAnswer: 5, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 433 divide 210806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2979 - -2979.5. Put c, -3.5, -0.5, 0 in decreasing order.\nAnswer: c, 0, -0.5, -3.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 5*d**2 + 3*d. Let f(n) = 6*n**2. What is o(f(u))?\nAnswer: 180*u**4 + 18*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -28020, -28019, -28030, -28059, -28112, -28195, -28314, -28475?\nAnswer: -28684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) be the first derivative of 2 + 2*q**2 + 0*q - 1\/3*q**3. Let p(x) = -x**2 + 3*x. Let z(g) = 4*p(g) - 3*u(g). Calculate z(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1 + 1 + 7 + 0. Let h be (-369273)\/(-2)*2*q. Suppose -h + 10823457 = 5*c. Round c to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - m + 2 = 0, 4*m = 3*k - 7*k - 4. Let r = 335 + -228. Suppose k*v - r = -8. List the prime factors of v.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -139 - 151 = -5*z - 24*z for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -282*j**2*w**3 + 45*j**2 + 2*j + w**3 + 20 with respect to w.\nAnswer: -846*j**2*w**2 + 3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 2 h when three letters picked without replacement from {h: 2, w: 8}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 41*y - 41*y - 21 + y**3 + y**4 as c*y + o*y**2 + x*y**3 + i + s*y**4 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3633382161371\/92650040 + -114\/1654465. Let x = -39218 - h. What is the common denominator of -76\/63 and x?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 - (8 + (-9 - (8 - 0))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6026.\nAnswer: 2, 23, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 824716486 to the power of 1\/5, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38951*u + 2*d = -38950*u - 41, 2*d + 38 = 4*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) be the first derivative of s**2\/2 - 3*s - 381. Let b be v(6). Find m, given that 3\/7*m**5 + 6\/7 + 6\/7*m**4 + 3\/7*m - 12\/7*m**2 - 6\/7*m**b = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*h + 3*h - h - h - 2*h + h + 2 - 2*h - 2 - 5*h + 0*h + 4*h + (-3 + 3 - 2)*(1 - 1 + h) + 0*h + 2*h - h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 2 = -3*f - 2*p, -2*f - 4*p = 14. Let a be (1 - f - -1)*-2. Suppose 20239 = -a*g + 226239. What is g rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-1\/4))**(11\/4)\/(s**(4\/7)*s*s**(2\/17)))\/(s\/s**(-7\/5)*s**(-2\/5))**(20\/9) assuming s is positive.\nAnswer: s**(-116885\/17136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 7535, 7570, 7635, 7736, 7879, 8070, 8315?\n\"Answer: p**3 + 9*p**2 + p + 7524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1212012212 - -12?\nAnswer: -1212012200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -84 divided by -105226.\nAnswer: 42\/52613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = c**3 - 5*c**2 - 7*c + 6. Suppose u - m = 1, -34 = -u - 3*u - 2*m. Let g be l(u). Suppose g*n - 22 = -n. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -58\/4067 and -17\/2013912.\nAnswer: 98681688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 0, 3\/4, -1.813, 87, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -v + 2*v - 4*v. Suppose -3*n = 5*c - 68, 5*c = -v*c + 20. Factor n*w**3 + 4*w**2 - 17*w**3 - 2*w**2.\nAnswer: -w**2*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -h + 3. Let d be k(0). Let g(o) = 3*o - 2. List the prime factors of g(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -4*l**2 + 97*l - 29. Let n be s(24). Which is greater: 0.46 or n?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 814836 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -2*c - 51. Let w be s(-24). Let q be 0 + 0 + 0 - -1. Is q equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1377 and 175100?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 376*f**2 - 776*f**2 + 397*f**2.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = d**3 + 84*d**2 - 314*d - 657. Determine g(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.14944 - -187.83944. What is h rounded to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence krk when three letters picked without replacement from {k: 3, z: 5, v: 9, r: 2}?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 863602?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Total of 151 and -15.\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-14)\/49 + 79\/(-91). Suppose -23*p - 84 = 19*p. Which is bigger: p or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 8, 4, -3 in ascending order.\nAnswer: -3, -2, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 384783 a multiple of 251?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -214993 - -1294321\/6. Let q = j - 35207\/48. Calculate the common denominator of -37\/2 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r**5\/2 - 2019*r**4\/4 + 1806*r**3 + 7149*r**2 + 3060*r = 0.\nAnswer: -340, -2, -1\/2, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in three eighths of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 17 + (-1 - 15) + 8 + (9 - (12 - -10))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 41 (base 6) to base 16\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 386 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 836*5.\nAnswer: 4180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j = 2*q + 8, 2*j - 8*q + 12*q - 14 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 0.016  (b) 4  (c) -6  (d) 2\/5  (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find b such that b**3\/2 + 735*b**2\/2 + 180075*b\/2 + 14706125\/2 = 0.\nAnswer: -245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange y + 3574*y**2 - 7148*y**2 + 11*y**3 + 3549*y**2 to z*y + p*y**2 + c + h*y**3 and give p.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f**2 + 1. Let w(y) = -5*y**2 + 2. Calculate -2*o(v) + w(v).\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 m when two letters picked without replacement from ggggggmgigg?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4*(72\/(-32) + 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = k**2 + 3*k + 2. Suppose 3*i + 6 = 0, -20 = 4*a + 3*i + i. Let n be c(a). Suppose -4 = n*s + 2. Are -3 and s nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -19285.6 + 10.\nAnswer: -19275.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (-82)\/(-3)*(252\/(-49))\/(24\/21)\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 199*d**2 - 6*d - 5. Let j be c(-5). What is j rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/(12\/(-15))*-1*20\/75.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ls when two letters picked without replacement from otlthhoosooooooosso?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + 77*c = 81*c + 15270, 3*w = 5*c + 9175. What are the prime factors of w?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 14201, 14210, 14219, 14228?\n\"Answer: 9*h + 14192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - 4*z = p - 24, 5*p - 30 = 3*z. Suppose 0 = -3*x + 2*x + p. Suppose -3*v = -x*v - 2*h + 253, -86 = -v + h. List the prime factors of v.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that -2738*r**2 - 3552*r - 1152 = 0.\nAnswer: -24\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -2*j**2 - 4*j. Let l be d(-3). Let b(u) = -u**3 + u**2 + 4*u - 5. Is b(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 4*g + 2. Suppose -5*h - 55 + 160 = 0. Suppose h*u + 8 = 25*u. Let w(b) = -b - 1. Calculate u*p(r) + 4*w(r).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5789 is divided by 36?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 1 n when two letters picked without replacement from {d: 1, z: 4, c: 1, b: 1, v: 5, n: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w, 1 z, and 1 g when three letters picked without replacement from wdgzhshdwwzh.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 22 + -84d0c?\nAnswer: -84cca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -19*r**2 + 9. Let f be 14\/6 + 3*(-2)\/18. Let u(d) = 17*d**f + d**2 - 4 - 9*d**2. What is 3*o(v) + 7*u(v)?\nAnswer: 6*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d**3 + 2*d**2 - 2*d - 2. Let l be v(2). Suppose r - y - 8 = 0, 54 = 5*r + 2*y - 0*y. What is the greatest common factor of r and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.01, -1, -6\/11 in ascending order.\nAnswer: -1, -6\/11, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 8810 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = b**3 + 13*b**2 + 11*b - 5. What is z(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 284 (base 11) to base 6.\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of g**4*j - 10*g**4 + 4*g*j + 45*g + j wrt g?\nAnswer: 12*g**2*j - 120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -144, -147, -150?\n\"Answer: -3*z - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 5*u + 30 = 0, -5*o + u - 6 = 15. Let b be (o\/(-2) - 2)*0. Solve 7*y - 4*y - 12 = -z, -y + 5 = b for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -4565888*v**3 - 10539082 wrt v?\nAnswer: -13697664*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -163 - -163.031. Let b = -53 - -52.779. Let q = s + b. Round q to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6 + 2 + 3)*(5 - 38*d - 44*d + 63*d) in the form w*d + x and give w.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2289.212 + 8.788. What is the closest to 0 in s, -0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 192282 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -66.004 + -5.006. Let v = u + 71. Which is smaller: -14 or v?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(((sqrt(180) - (sqrt(180) + sqrt(180)*-1*6)) + -1 + sqrt(180) + 5)*-4 + 5))**2*-2.\nAnswer: -2542338 - 66528*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ly when two letters picked without replacement from {l: 7, d: 1, g: 8, h: 2, y: 2}?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-20)\/8*1*-2. Suppose q - 4 = -12. Let m = -8 - q. Solve m = -b + w*b - 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) be the second derivative of 0 + 3*n + 0*n**3 - 2\/3*n**4 + 1\/2*n**2. Find the first derivative of i(q) wrt q.\nAnswer: -16*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*(6\/4)\/((-21)\/35).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -z**2 - 9*z - 6. Let p be a(-12). Let q be ((-14)\/(-10))\/(p\/(-6090)). Calculate the highest common factor of q and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 - 5 + 3)*(14*g + 15*g + 18*g)*(-2 + 2 + 2)*(2 - 2*g - 2) in the form c + n*g**2 + p*g and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is u in -3*u**2 + 352*u + 236 = 0?\nAnswer: -2\/3, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 38946170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Put 0.0896, -1, 3\/7, -1\/2 in decreasing order.\nAnswer: 3\/7, 0.0896, -1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = j**2 - 3*j + 2. Let k be u(2). Suppose k = -p + 4*p - 2*r + 9, -3 = -3*p - 2*r. Let x = -1 - -1. Which is the nearest to x?  (a) p  (b) 2\/3  (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (10 - (5 + 2)) + -11 - 6.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + 6 + -4 + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -111110000101011 (base 2) to base 12.\nAnswer: -1648b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1329785293.\nAnswer: 1329785293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y*y*y**(7\/5)*y\/(y*y**20) assuming y is positive.\nAnswer: y**(-83\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 167 - 163.83. Let g = 0.17 - t. Which is the closest to 0?  (a) g  (b) -1\/2  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x + 5*m - 190 = 0, m + 2*m = -2*x + 76. Let n = x - 17. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1 and 2597.7297424597.\nAnswer: 2598.7297424597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -25*a**3 + 18*a**2 - 9*a + 453. Let g(q) = 6*q**3 - 4*q**2 + 2*q - 113. Let m(n) = 18*g(n) + 4*v(n). What is the first derivative of m(f) wrt f?\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -98*x**3 + 4*x**2 - x - 5. Let a be w(3). Is 14 a factor of (0 + -5)*a\/85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k = -2*k - 2. Let g be 28\/(-144) + (-3)\/12. Which is the nearest to 0.2?  (a) g  (b) 2  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + 4*i - i + 110 = 0, 5*i + 50 = 3*q. Suppose 4*l - q = -5. Suppose 5*v - l*c = 575, -5*v - 5*c - 219 = -794. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3388?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -13969240*n**2 - 46307343*n?\nAnswer: -27938480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 17 - 5 = 0. Solve -n*u - 12 = -2*k + k, k + 3*u + 16 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 81 + 103 - 8231*u**2 + 91 - 275.\nAnswer: -8231*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 8241984 a multiple of 705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Are 2\/106251929 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 72913802, 145827607, 218741414, 291655223, 364569034, 437482847, 510396662?\nAnswer: 583310479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 84\/(-35)*(7 + -4)\/(-6) and -32\/39.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3239?\nAnswer: 41, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b, 1 m, and 1 j when three letters picked without replacement from {q: 4, m: 1, t: 4, b: 1, j: 7, w: 1}?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 2*l**2 - 3123. Let g(v) = 2*v**2. Calculate u(g(a)).\nAnswer: 8*a**4 - 3123","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 39758.\nAnswer: 2, 103, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*r**2 + 24*r**2 + r**2 - 36*r**2 + 4*r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.024 times 115?\nAnswer: 2.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -238607848*i**3*y**3 - 265*i**3*y**2 - 779*i**3 - 35*i**2*y wrt y?\nAnswer: -1431647088*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -97*t**5 + 19*t**5 - 41*t**5 + (-2 - 2 + 1)*(8*t**2 - 8*t**2 - 4*t**5) + 0*t**5 - 2*t**5 + 3*t**5.\nAnswer: -106*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 610400 is divided by 101732?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-10)\/(-8))\/(2\/(-8)). Let y be (1\/(-2))\/((-1)\/(-2)). Let t = -34.8 - -35. Which is the third biggest value?  (a) t  (b) y  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor o**3 - 924*o**2 - 11196*o - 33696.\nAnswer: (o - 936)*(o + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 58 + 53 = -5*x, -2*x + 2 = -i. Solve -c = -s - x, 2*c + 5*s + 3 = 2*s for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1)\/(14\/(-360)) + 1. Let n = 22 - h. Calculate the common denominator of n and 389\/63 + 6\/(-21).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1243347113.\nAnswer: 1973, 630181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 162.2672 centimeters to micrometers.\nAnswer: 1622672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1baa (base 13) to base 9\nAnswer: 5672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -2*n**3 + 2*n**2 + 2*n. Let p be g(2). Let q be 2\/p - 55\/22. Put -5, q, -4 in decreasing order.\nAnswer: q, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + -4*((sqrt(1300) + 1)*3 + sqrt(1300) + sqrt(1300) + sqrt(1300)*1*-4 + sqrt(1300))*-1)**2.\nAnswer: 1280*sqrt(13) + 83264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g = 2*r - 2*g + 9, -2*r + 2*g = 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -3762, -3747, -3706, -3633, -3522?\n\"Answer: t**3 + 7*t**2 - 13*t - 3757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 17 + -12. Suppose -20 = -4*q + 2*q. Suppose l*j - q = 185. What is the remainder when j is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.01 - 1.99. Let z = -1 - t. Let w = -1.2 + z. What is the nearest to -1\/3 in 1, -1\/4, w?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8006*l**2 - 16016*l**2 + 8010*l**2 + 29*l**3.\nAnswer: 29*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*i + 11*i = 15. Suppose -43 = i*t + 4*l + 210, -3*l + 43 = -t. Let f = t + 46. Let s(h) = -2*h**2 + 2*h. Determine s(f).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1278*n**3 + 25*n**2 + 573*n**2 + 725*n**2 wrt n?\nAnswer: -7668","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 89.80774 litres?\nAnswer: 89807.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -6*t**2 + 3*t. Let f(s) = -210*s + 23. Give p(f(j)).\nAnswer: -264600*j**2 + 57330*j - 3105","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 5, v: 4, y: 6, j: 4}. Give prob of picking 2 h, 1 j, and 1 y.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(204) + sqrt(204))\/sqrt(12))**2 - (sqrt(17)*-1 + -3).\nAnswer: sqrt(17) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-8)\/(-4))\/((-3)\/(-12)). Let v(s) = -s**3 - s**2 + s - 4. Let y be v(-4). Calculate the greatest common divisor of z and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = 7*g + 5*m - 75, -5*m = 2*g - 33. Let s = -11 + 16. Calculate the lowest common multiple of g and s.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5*o - 6*o + 5*o)*(13*o + 45*o - 16*o + 18*o) to i + n*o + u*o**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -131*p + 446. Give w(4).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2655228 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 181783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -61159.5 and -3.\nAnswer: 183478.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 235*x + 46428 - 46663 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 277 minutes after 9:48 PM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1652 - -1649. Let i = -14 + 14.3. Which is the smallest value?  (a) h  (b) 1  (c) -0.8  (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 26*d**3 - 6*d**2 + 10*d - 4. Let g(x) = 27*x**3 - 4*x**2 + 9*x - 3. Let h(p) = -4*g(p) + 3*l(p). What is the third derivative of h(o) wrt o?\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1311340 and 54576?\nAnswer: 1516","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 215, 0, -2 in decreasing order.\nAnswer: 215, 5, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = 3*m + 5. Suppose -10 = -8*q + 3*q. Let z(l) = -3 + q*l - 3*l - 2. Determine z(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3103 - -3?\nAnswer: 3112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -22 + 24. Let x(i) = 6*i - s*i - 5*i + 1. What is x(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by 367\nAnswer: 3\/367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*v - 10*v - 976*v**2 + 14*v + 978*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*-3*(3 + sqrt(26)\/sqrt(2)))**2.\nAnswer: 486*sqrt(13) + 1782","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5862 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 18*n**4 - 27*n**4 + 3 + 0 wrt n.\nAnswer: -36*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/(-8)*(390\/18 + -15)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -416 - 6256*r + 18767*r - 6257*r - 6256*r.\nAnswer: -2*r - 416","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 6*k**2 - 4*k - 1 - k**3 + 3 - 2*k. Let t be 2\/(-1)*10\/(-4). What is j(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -5*l**2 - 14*l + 23. Let c(p) = 11*p**2 + 28*p - 46. Let s(w) = 6*c(w) + 13*y(w). Let i be s(-11). Let q = -88 + i. Is q a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = k**3 + 105*k**2 - 82*k + 2546. Let g be d(-106). Suppose 2*p + 3 = 13. Let s be (1 - 1) + 1 + 1. Solve -5*w - 27 = -g*b, 3 + p = -s*b - 2*w for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 127.07 - -0.93. Let g = m + -128.1. Which is the second biggest value?  (a) -1\/4  (b) g  (c) -0.2  (d) -10\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 21 - 12. Let s(g) = -3*g + 2. Let a(q) = -q**3 - q + 4. Let u be a(0). Let v(n) = 2 + n - 3 + 0*n. What is t*v(m) + u*s(m)?\nAnswer: -3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 22048?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 77359.\nAnswer: 77359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 0*v - 6 = 4*t, 4*v + 18 = -2*t. Let b be t + -13305 - (-4)\/1. Round b to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -998 and -2123.\nAnswer: -3121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -15\/7, -3, 2\/11, -1\/6 in increasing order.\nAnswer: -3, -15\/7, -1\/6, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 2808.589922 to the nearest 100.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 66*f - 166 - 172 = 58 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -21 + 9 - 1 - -7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 327 - 325. Solve 5*b - 3*b + 2*r = 6, 4*r - 18 = w*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 115 minutes after 7:21 PM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -1, 1, -12\/7, 5, -13, 80 in descending order.\nAnswer: 80, 5, 1, -1, -12\/7, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -3*j**2 + 2*j - 2. Let n(t) = 21*t**2 - 15*t + 15. Let q(y) = 2*n(y) + 15*z(y). Suppose h - 9 = -2*h. Let o(l) = 0*l - 2*l + h*l. Calculate q(o(c)).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-9\/5)\/r)\/r**(-1\/3) assuming r is positive.\nAnswer: r**(-37\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*r**3 - 4*r**3 + 32*r**2 - 6*r**3 - 32*r**2 - r**3.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {a: 4, n: 6}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -402 - -425 - (0 - -26)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1\/5*s**2 + 4\/5*s + 21\/5 = 0.\nAnswer: -3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j*j*j*j\/((j\/j**(-7))\/j))\/(j*j**(-1)))\/(j**0*j)**(13\/6))\/(((j*(j\/(j*j**(3\/7)*j)*j)\/j*j)\/j**(-1\/3))\/(j**6*j**(-2\/13))) assuming j is positive.\nAnswer: j**(-41\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 2564365497*s**2. Let m(j) = j. Determine m(k(c)).\nAnswer: 2564365497*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 26.894780505 + 1123\nAnswer: 1149.894780505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1220\/(-1525)*931\/98?\nAnswer: -38\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 536417708?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1846?\nAnswer: 2, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-21)\/(-7) - (-2)\/(-1 + 2). Suppose 0 = j*z, 128 = -g + 3*g + 4*z. What is the greatest common divisor of 4 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 191*a**3*t**2 + 558*a**3 - 2*a**2*t**2 - t wrt t?\nAnswer: 382*a**3*t - 4*a**2*t - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4)\/(-6)*(-4 - (-6)\/(-24)*-34). Solve 0 = 4*l - z*c - 10 - 5, c + 5 = -5*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1 - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -12, -31, -60, -99, -148, -207?\nAnswer: -276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 282 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 2*i**2 - 3*i - 9. Let y(t) = t**2 - t - 4. Suppose -12 + 3 = -3*v. Give v*z(c) - 7*y(c).\nAnswer: -c**2 - 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 111120002022 (base 3) in base 6?\nAnswer: 5415312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.03, -122.186, 5 in descending order.\nAnswer: 5, -0.03, -122.186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 6040027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -6*g + 128. Let c be b(21). Solve 2*s + j - 7 = 0, j + c - 10 = -3*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -43*w + 76. Let c(q) = 21*q - 34. Calculate -9*c(b) - 4*p(b).\nAnswer: -17*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 43 - 26. Let y = s + -13. Find the third derivative of -4*a**2 - 2*a**y - a**2 - a**4 wrt a.\nAnswer: -72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 562644?\nAnswer: 2, 3, 15629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 109 - 111. Put 1, 74, -3, j in descending order.\nAnswer: 74, 1, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 2, w: 2, n: 1, m: 1, g: 2, r: 1}. What is prob of sequence wvnr?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10*a**3 + 15*a**3 - 3467 - 26*a**3 + 3467.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Add 1 and 1015.03.\nAnswer: 1016.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.061 and -893372193242.\nAnswer: -893372193242.061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -29\/1965258 and -115\/198?\nAnswer: 21617838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 98845 + 3?\nAnswer: 98848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = z**2 + 19*z - 48. Let c be p(-20). Is 2\/c*-4 - (-4009)\/7 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -28 (base 9) to base 4.\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -180*g**2 - 2*g. Let q be n(-1). Let z = 153 + -69. Find the common denominator of 47\/6 and q*(2 - 171\/z).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 769883966 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + sqrt(704) + sqrt(11) + (-1*(-3 + sqrt(11)))**2.\nAnswer: 3*sqrt(11) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -917, -920, -923, -926, -929?\n\"Answer: -3*s - 914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -39*f**5*q**2 - 32*f**5*q - 1591*f*q**2 wrt f?\nAnswer: -780*f**3*q**2 - 640*f**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*g - 20, 11215*g = -k + 11213*g - 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 2*x. Let z(k) = 13*k**2 - 1. Give i(z(n)).\nAnswer: 26*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) be the second derivative of w**4\/12 - 2*w**3\/3 + 13*w**2\/2 - 30*w. Let m(y) be the first derivative of u(y). What is m(7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 266.694 - 2.794. Let d = k - 241. Let l = -22.8907 + d. What is l rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4971 is divided by 1655?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -186*a + 1699*a + 197924 - 74840 = -1643*a for a.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -24*y - 51. Let t = -32 + 23. Is 10 a factor of c(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 329 + -327. Let x = 229 + -218. Sort x, 3, a.\nAnswer: a, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 7 - 183*l + 187*l + 0*l**3 + l**2 - 7*l**3. Let t(m) = 8*m**3 - m**2 - 5*m - 8. Give -4*t(a) - 5*v(a).\nAnswer: 3*a**3 - a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -1402, -2804, -4202, -5596, -6986?\n\"Answer: 2*u**2 - 1408*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -4998*y + 359. What is h(0)?\nAnswer: 359","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 85.87415595+-110\nAnswer: -24.12584405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 41 - 24. Let p(n) = 2*n**2 - 3*n - 5. Let i be p(-6). What is the greatest common factor of i and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, a: 1, t: 1, b: 1, x: 1}. Give prob of picking 1 a and 1 b.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from bojjoobo?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -902 + 406. What is the lowest common multiple of -5 - w\/12 - (-1)\/(-3) and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n**2 + 288*n - 5184 = 0 for n.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dlvlk. What is prob of sequence dvk?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16016.\nAnswer: 2, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4 - 3. Suppose 2*o + g = o. Let j = 59 + -239\/4. Is o <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 37 + -26. 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 the smallest value in -299, 2\/5, 0.05?\nAnswer: -299","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = l**3 - 4*l**2 - 9*l + 27. Let z be s(5). Let n(t) = t**2 + 5*t + 2. Let b be n(-6). Which is greater: z or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -101001110001100101 (base 2) to base 16\nAnswer: -29c65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that -660*x**5 + 506758*x**4 - 2926196*x**3 + 1244282*x**2 + 4114016*x - 563880 = 0.\nAnswer: -1, 2\/15, 37\/22, 5, 762","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 11.5475295 to two dps.\nAnswer: 11.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 2\/1*40\/(-20)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Total of 26.387888 and -6918369.\nAnswer: -6918342.612112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*j - 9 = 9. Suppose j*z - 114 - 72 = 0. Let y = z + -38. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1252588*i**3*o**5 - i**3*o**2 + 1611*i**2*o + i - 2 wrt o.\nAnswer: 75155280*i**3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 5, -3693, 51 in decreasing order.\nAnswer: 51, 5, 3, -3693","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 298 minutes after 6:07 AM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 7948423 a multiple of 396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*t + 16376 + 34480 = 823*t - 2670 for t.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -184*p**2 - 4*p - 3. Suppose 5*u + 19 = -11. Let l be v(u). Let w be (6 - 9\/3) + l. Round w to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 91267.25l in millilitres?\nAnswer: 91267250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1.3  (b) 0.2  (c) 0.3  (d) -5  (e) 1\/2  (f) -39\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -48 - -43. Let n be ((-2)\/d)\/((-1)\/30). Let c(u) = -6*u - 29. Is c(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 3*m**3 - 15*m**2 - 57*m + 522. Let u be d(8). What is the highest common factor of u and 72?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(6\/(-40))*-16*33\/4224?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 5312.5249 to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*y + 3*f + 9, 15 = -10*y + 6*y - 3*f. Let r(x) = -5*x**2 - 50*x - 39. Let m(t) = -9*t**2 - 99*t - 79. Let q(b) = y*m(b) + 11*r(b). Factor q(n).\nAnswer: -(n - 45)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 260 + -518. Let a = r - -282. Put 0.1, a, 1\/8 in ascending order.\nAnswer: 0.1, 1\/8, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that -3\/7*l**2 - 31827\/7 + 618\/7*l = 0.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 123 minutes after 7:18 PM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -a. Let z be h(0). Solve z = l + 5*f + 6, 2 = -4*l + 3*f + 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*l + 13 - 79 = 0. Calculate the remainder when l is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -60 - 2423941*n + 2423936*n + 60.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:46 AM and 12:28 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.3 and -1948563.\nAnswer: -584568.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1\/5 + 13\/60. Let k(d) be the third derivative of 0 + 0*d**4 - b*d**5 - 3*d**2 + 0*d + 5\/6*d**3. Differentiate k(n) wrt n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2 + 1. Solve -t + 25 = -6*t - d*u, -t + 5*u - 5 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.2*-1520052.\nAnswer: -304010.4","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: What is 1.20002 rounded to two decimal places?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + l - 1270 + 188229 = 0, -l + 93487 = 2*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -z**2 - 8*z + 14. Let a be x(-9). Suppose 5*f - 25 = 5*m, a*f - 11 = 14. Let r = m - -5. Solve r*k = k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 6180, -6538, -27734, -57408, -95560?\n\"Answer: -4239*w**2 - w + 10420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1946862579?\nAnswer: 3, 10973, 59141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (19882\/29823)\/((-4)\/(-102))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4339701.\nAnswer: 3, 482189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) be the third derivative of j**5\/60 - j**4\/8 + 6*j**2. Let z be v(3). Solve z = -4*i - 2 - 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((0 + 4)*18\/24)\/((-54)\/(-180))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 24279.5 - 24279. Let b be ((-2)\/4)\/((-40)\/(-16)). Sort 1.3, b, m in ascending order.\nAnswer: b, m, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 7*h*l*r**3 + 163*h*r**3 + 3672*l*r**3 wrt h?\nAnswer: 7*l*r**3 + 163*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 50 - 21. Calculate the remainder when f is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 2, u: 4, v: 7, j: 1, y: 3}. Give prob of sequence njv.\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 3 + 4 = -4*o, -4*m - 42 = -2*o. Let w(c) = -c**3 - 11*c**2 + 10*c - 42. Let r be w(m). Which is smaller: 167 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 31 + -13 - (-202)\/(-12)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a**4 + 122*a**3 + 1122*a**2 - 1242*a = 0. What is a?\nAnswer: -9, 0, 1, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by 11700027.\nAnswer: 5\/11700027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of q**4 + 74*q**3 + 426*q**2.\nAnswer: 24*q + 444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i - 2077*l = -2081*l + 25, 5*l = -i - 2 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -103 - -0.047722.\nAnswer: -102.952278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) be the third derivative of y**8\/1344 - y**7\/840 + y**5\/4 - 37*y**2. Let i(u) be the third derivative of r(u). Solve i(l) = 0.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 42\/16 + (-8 - (-469)\/56). Let w(f) be the third derivative of -1\/270*f**5 + 0*f - 3*f**2 - 1\/540*f**6 + 0*f**4 + 0*f**c + 0. Factor w(j).\nAnswer: -2*j**2*(j + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (16 - 7) + 1 + -5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 38 - -10. Let r be (200\/(-6) + -1)\/((-48)\/144). Let s = r - 9. Calculate the remainder when s is divided by y.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-544)\/204 - 209\/(-3). Solve v*o = 68*o - 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = 12*r - 81. Let y be (28\/r + -1)\/(27\/81). Suppose -y*q + 20 = -q. Solve 4*w = 4*o + 12, 0 = -q*o - 4 + 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1030627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 189 + -57. Let u = g - 83. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3 + -1. Suppose -h = o - 5. Suppose 0 = 2*m + t - 6, -7*t = -4*m - 2*t + 40. Solve -12 = -0*w - m*w - 2*c, -h*w - 5*c + 11 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 14510 + -8523. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 146433\/43 + -3405. Let k = -255\/301 + f. Let v(h) = -h + 11. Let z be v(7). Which is the closest to 1?  (a) -0.03  (b) z  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/(-24)*(1\/(-5))\/((-1)\/2).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -24 - -35. Let w(y) = -33*y + 154. Let p be w(2). What is the greatest common divisor of p and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.129 - 0.2. Let j = h - -4.971. Let p = j - 5. Is p != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5674 is divided by 24.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 570 divide 171017408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1a92407 (base 12) to base 3.\nAnswer: -101122210212121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2168857?\nAnswer: 67, 32371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g**4\/7 - 2936*g**3\/7 + 775514*g**2\/7 + 3302720*g - 3413088 = 0. What is g?\nAnswer: -1693, -28, 1, 252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) be the first derivative of -a**4\/4 + a**3\/3 - a**2\/2 - a + 7. Let t be l(-1). Solve t*u - 16 = 2*o, -28 = -2*u + o + 4*o for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10000 - 1010111?\nAnswer: -1100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 29 * -9260\nAnswer: -268540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8044 is divided by 36.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 13 + 16*v**2 - 8 + 5*v**2 - 4*v**2 in the form j*v**2 + k + n*v and give j.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4593.38 centuries to years.\nAnswer: 459338","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Is 1473053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 77900 to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.047 + -2.047. Which is the biggest value?  (a) -1\/2  (b) -0.05  (c) -2\/17  (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 140 and 440?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Are -12 and -9 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 47*o = 12*o + 100 - 415 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 3*j = 0. Let p = j - -4. Solve -4*m + 12 = 2*u - 5*m, 20 = u - p*m for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.554344 + -0.5637. What is x rounded to 4 dps?\nAnswer: -0.0094","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20340 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 11\/4 - 91\/36. Let x(k) = -k**2 + 3*k + 42. Let j be x(-5). Which is the second smallest value?  (a) j  (b) -5  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 194 minutes before 10:33 PM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2\/233 - 1157\/932. Let m be 13\/((-19080)\/3824 - (-10)\/2). Let b = m - 1238. Find the common denominator of b and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 37 + -47. Let q = 0 + 5. Sort -1, q, f in decreasing order.\nAnswer: q, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -s**2 + 6879*s - 4 - 6796*s + 7 to b*s**2 + w + i*s and give i.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -16*u - 21 + 3*u + 6*u. Let d be l(-5). Suppose 0 = d*v - 53108 - 3578. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 3, n: 3}. Give prob of sequence nnj.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r and 1 h when three letters picked without replacement from hiihrrrrirrhrrrrihii.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*n = 6*n. Let m(z) = z**2 - z - 3. Let s be m(n). Is (96\/20)\/(s\/(-10)) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-1)\/4)\/((-6)\/96). Solve -p*s = b - 3*b + 20, -3*s - 4*b - 15 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 13230 - 408 = -3*l + 2*o, 0 = -o. Is l a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -207488 and 21 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = -4*s + 28, -h - 2*h + 35 = -s. Let c(j) = 32*j - 13. Is c(h) a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 45 = -0*i. Suppose 3*z - i = -3. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1 + 554?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.4 from 205154.\nAnswer: 205153.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 19589?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -33287 or -33288?\nAnswer: -33287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -54 + 58. Let k(r) = 5*r + 5*r - u*r + 0 + 9. What is the tens digit of k(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 0.5, 14\/51, -2, -0.4, -33?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -l**2 - 3*l - 12. Suppose 2*k = -5*k - 77. Let w(g) = 5*g**2 + 15*g + 59. Let i(s) = k*n(s) - 2*w(s). Does 24 divide i(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 223292284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -a**2 - 38*a. List the prime factors of b(-17).\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*s**2 - 3*s**2 + s**2 + 3 + s**2 - 3 + (0*s - 5*s - 11*s)*(2 - 2 + 2*s) + 6*s**2 + 22*s**2 - 40*s**2.\nAnswer: -42*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 33 - -2. Is o a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -2\/9, 0, -1\/5, 54, 0.3, -386?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 26*u**4 - 5*u**4 + 102*u**4 + u - u + 2*u**4 + (5 + u**2 - 5)*(-6*u**2 + 3*u**2 + 2*u**2).\nAnswer: 124*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 407808\/33792 + 12\/(-176)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 847206?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(275) + -2 - sqrt(275) - sqrt(275)) + sqrt(99) + -2 - -5*6*2*sqrt(704))**2.\nAnswer: -3824*sqrt(11) + 2513340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 - -2 - (-66)\/10?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 189317179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 448769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 18239832714225 - 18239839039875.7000007. Let t = 6325663.7 + x. Let c = t + -13. Round c to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -34, -40, -44, -46, -46?\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 47*y + 50*y - 97*y - y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 135, 521, 1157, 2043?\nAnswer: 3179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4  (b) 0.1  (c) -2\/5  (d) -303  (e) 1\/6  (f) -0.1067\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 5*b**2 + 13 + 693*b - 693*b wrt b?\nAnswer: 10*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-6)\/((-7)\/((-28)\/(-8))). Suppose -5*m + 2 + u = 0. Let p be (4\/(-6))\/(m\/(-6)). Which is the second smallest value?  (a) -4  (b) p  (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = d + 1. Let l(u) = -2*u - 2. Let g(j) = -25*j - 25. Let o(b) = -3*g(b) + 40*l(b). Suppose 3*n = 2*n - s, 0 = n - 3*s - 4. Calculate n*o(x) + 6*y(x).\nAnswer: x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -160 = 5*o - 10. Let k = 35 + o. Let s be 2\/3 + 14\/(-30). Put -2\/47, k, s in ascending order.\nAnswer: -2\/47, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -18  (b) 0.3  (c) 0.6  (d) 0  (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5760, 11521, 17282, 23043?\nAnswer: 28804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0228189813 rounded to 5 decimal places?\nAnswer: -0.02282","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -10 + 18. Let k(l) = -l**3 + 7*l**2 + 9*l + 6. Let s be k(t). Suppose s*q - 36 = 5*q. Solve 0 = b + 1 + q for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 + 7 = 5*l. Sort 3, 1, l in ascending order.\nAnswer: 1, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 + 1 - 2*s**3 + (161 - 161 - 45*s)*(0 + s**2 + 0) + 12*s + s**3 + 4*s + 9*s.\nAnswer: -46*s**3 + 25*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (15 + 2*h - 13 - 6)*(2*h**4 - 5 + 5).\nAnswer: 4*h**5 - 8*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*l**4 - 15*l**3 + 20*l**2.\nAnswer: -5*l**2*(l - 1)*(l + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Add 5 and 39113.372.\nAnswer: 39118.372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 15 and 11105.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-38)\/(-57))\/(20\/(-234)) and (-52)\/(-39)*(15 - 1).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 80, 413, 758, 1115?\nAnswer: 1484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 55 times -0.6\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/(q\/(q*q**(2\/5))*q))**(-2\/35)\/((q**5*q)\/q**(-3))*(q**(-1\/2))**0*((q*q*q**(-1\/2)*q)\/q)**(1\/20) assuming q is positive.\nAnswer: q**(-12527\/1400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by -351175\nAnswer: 1\/351175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 209 and 187.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 303 minutes before 4:54 PM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = t - 2*t + 3*a, 5*t + 3*a - 9 = 0. Suppose -p - 23 = m + 4*m, -5*p - 5*m = 15. Let n(y) = -11*y**p + 12*y**2 + 1 + y - 9. What is n(t)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11111100000001001 (base 2) in base 15?\nAnswer: -28373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1755 + 1766. Solve 0 = 8*p - x*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 7 - 57?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*n**3\/5 - 159*n**2 - 77748*n\/5.\nAnswer: 3*n*(n - 341)*(n + 76)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -9 + 34. Is -6*1\/2 + t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -151, -158, -175, -208, -263, -346?\nAnswer: -463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 7340.55 to the nearest ten.\nAnswer: 7340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = n**2 - 8*n - 13. Let q(p) = -3*p + 4. Let s be q(-3). Suppose -18 = -10*y + s*y. Is j(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -21398689609 rounded to the nearest 100000?\nAnswer: -21398700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) be the third derivative of n**5\/60 + 5*n**4\/24 + 5*n**3\/6 - 30*n**2. Suppose 4*t = 2*t - 10. Is g(t) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 1268, 2530, 3790, 5048, 6304, 7558, 8810?\n\"Answer: -g**2 + 1265*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v - x + 34 = 0, 6*v = 3*v + 3*x + 6. Let n be 128\/v + 2\/(-6). Solve -3*t - 5 = -2*j, -j - 3*t + 1 - n = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 977739?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 247, 125, -205, -845, -1897, -3463, -5645, -8545?\n\"Answer: -17*y**3 - 2*y**2 + 3*y + 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 388 + -563. What is the hundreds digit of (32*33\/(-30))\/(14\/v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (4\/30 + (-39)\/(-45))*95. Suppose -s = -3*r + 40. Let z be 3\/((2\/(-6))\/(-1)). What is the greatest common divisor of z and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1521222*k*n + 26368*n - 78 wrt k?\nAnswer: 1521222*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 - (2 - (-1 + -4 - -1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*x**3 + 4924*x - 61263 wrt x.\nAnswer: 6*x**2 + 4924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 26\/104 + (-174)\/(-8). Let y be (-1)\/w*-6*-1. Which is the nearest to 1\/4?  (a) -3  (b) y  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 52619 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 2*b**3 + 7*b**2 - 10*b. Let i(c) = 4*c**3 + 15*c**2 - 22*c. Let t(o) = -4*i(o) + 9*j(o). Let h(n) = n**3 + n**2 - n. Calculate 3*h(x) - t(x).\nAnswer: x**3 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 175537 and 406.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35*t = -37*t - 4*m + 20, 3*t = -3*m + 24 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 54.543953621 + -1.7\nAnswer: 52.843953621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 254 a factor of 10149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (2 - (4 + -2)) + 0. Suppose -2*v - 4 + 6 = y. Let s(r) = r**3 - 20*r**2 + 75*r - 405. What is the remainder when s(17) is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 7 or -57565?\nAnswer: -57565","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 15554 - 4754. Is z a multiple of 216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (43 - 1) + -23 + -26?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2\/7  (b) -1  (c) 18  (d) -5.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = 27*b**2. Let i = -395 + 451. Let x(z) = -54*z + 160*z - i*z - 56*z. Give x(u(l)).\nAnswer: -162*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand -8*n + 6*n - 2 + 4*n + (-1 + 0 - 1)*(-101*n + 3184 - 3184)*(-3 + 3 + 5).\nAnswer: 1012*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4831048?\nAnswer: 2, 603881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) be the second derivative of 6*l**3 + 24*l**2 - 2*l - 3. What are the prime factors of w(5)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4277\/329)\/(-9*3\/9*-1).\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -908*n + 329. Is t(-13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 take away 621?\nAnswer: -615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 681642*t. Let o(m) = 452*m**2. Give o(j(h)).\nAnswer: 210015388906128*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -v**2 - v + 1. Let l(i) = 4 - 5*i**2 + 27*i**3 - 116*i**3 + 33*i**3 + 58*i**3 - 14*i. Calculate 5*g(t) - l(t).\nAnswer: -2*t**3 + 9*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 113, 224, 333, 440, 545, 648?\n\"Answer: -g**2 + 114*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14855.\nAnswer: 5, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(847)*2 + -5 - (-2 + sqrt(847) + -2*sqrt(847) + sqrt(847) + sqrt(847) + sqrt(847) + -1 + sqrt(847) + -4)**2)*6.\nAnswer: -46062 + 2244*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -36 - -69. Calculate the highest common factor of u and 264.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -15384 + 15870. What is the second biggest value in 0.1, -1, 2, i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 21*v**2 + 1. Let h(b) = -7037*b. Determine h(c(o)).\nAnswer: -147777*o**2 - 7037","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 51078 and 31072450?\nAnswer: 93217350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2*(-4)\/((-60)\/(-15)). Let r = -6 + 10. What is the remainder when 36 is divided by 20 + (3 - (-5)\/n)*r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 19254632 and 8?\nAnswer: 19254632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2 + 0 + -3*(-4)\/(-6). Let r = 290 + -3192\/11. Which is smaller: r or w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 3*q*r*s**2 - 13*q*r - 2*q*s + 3*q + 12*r*s**2 - 2*s**2 - s + 2 wrt q?\nAnswer: 3*r*s**2 - 13*r - 2*s + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2126 < 2295?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 799*c**3 + c**2 + c - 1. Let n be s(1). Suppose -23*h = -27*h + n. Does 25 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*((sqrt(320)*-2 + sqrt(320) - sqrt(320)) + 5)*-6 - (-4*(1*sqrt(320) - sqrt(320))*-6 + 1))*-6)**2.\nAnswer: -843264*sqrt(5) + 6769476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -2518617 at most -2518616?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 130, 113, 96, 79, 62?\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*z**2\/4 + 45*z\/2.\nAnswer: 5*z*(z + 18)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand 14*s**4 - 2*s**4 + 13*s**4 - 2*s**4 + 3*s**4 - 2*s**4 + s + 2*s**4 - s + (-3*s**4 + s**4 + 0*s**4)*(-2 + 6 - 2) + 2*s - 2*s**4 - 2*s + s - s + 2*s**4.\nAnswer: 22*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*u + 21*u + 7*u**3 - 26*u.\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (19 - -1) + (-3 + 1 - 24528\/438).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3  (b) 22  (c) 0  (d) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (7 + 4)*(2 + -1). Suppose 2*w + p = 4*w - k, 0 = 5*w - 4*p - 29. Solve 6 + 4 = -w*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 5, -3, -8 in descending order.\nAnswer: 5, 4, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = x**2 - 4*x + 3. Let b be y(4). Suppose -1950 = -b*g - 5*d - 661, -1303 = -3*g + 2*d. Calculate the common denominator of 4\/(-14) + g\/70 and 21\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 + 8 + 3 - b + 12*b**2 + 2*b**4 - 14 in the form k + z*b + l*b**3 + q*b**4 + a*b**2 and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*z - 20 = 2*z + o, -5*o - 13 = 4*z. Let m(k) = k**2 - 16*k + 51. Let w be m(10). Let j be (8\/(-12))\/(z\/w). Solve l + 2 + j = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -16 - 6968*z + 7062*z - 12 + (0 - 5 - 3)*(2 - 2 - 2*z).\nAnswer: 110*z - 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1 - ((-18)\/14)\/(-3). Suppose 0 = 3*l - l + 8. Let s be (-10)\/(-8) + (-20)\/l + -7. What is the nearest to 0.1 in z, s, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {s: 1, a: 2, q: 1, w: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = g**3 - 12*g**2 + 10*g + 22. Give d(10).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -x**3\/2 + 233*x**2 - 34320*x + 1627200.\nAnswer: -(x - 226)*(x - 120)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) be the second derivative of h**3\/2 + 2*h**2 + 5*h. Calculate the remainder when 19 is divided by d(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) be the first derivative of h**2 - h - 2. Let q be r(-2). Let n = q - -7. Solve -m - 1 = j + n*m, 0 = -2*j - 2*m - 6 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 8150 by -50.\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((8 - -1) + -10 - 10) + 32?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -13267 - -291943\/22. Calculate the common denominator of f and 81\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*1*sqrt(504))\/(sqrt(60)\/sqrt(5)*-3))\/(-2*sqrt(726) - sqrt(384)).\nAnswer: -sqrt(7)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -361 + 699. What is the greatest common divisor of z and 364?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -5*j*w**5 + 18361*j*w**2 + 23*w**6 wrt w.\nAnswer: -300*j*w**2 + 2760*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -w**3 - 13*w**2 - 29*w + 14. Let y be r(-10). Which is the nearest to 1?  (a) -6  (b) y  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.05078 - -0.32292. Let b = 0.1735 - p. Let t = -0.097 - b. What is t rounded to four decimal places?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 98 + -68. Let x = -32 + q. Put 3\/4, 0.4, x in ascending order.\nAnswer: x, 0.4, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 53 and -23.\nAnswer: -1219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 + -13 + (2 - -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = -7*j + 55. Suppose z - 21 = -5*o, 3 + 42 = 5*z + 5*o. Let k = z + j. What is the remainder when k is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.84102822 rounded to two dps?\nAnswer: 8.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -0.8, 3\/5, 3, 56\/9?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 7 - 4. Suppose 0 = -8*p + d*p + 10. Suppose 3*s = -3, -95 = -p*q - 2*q - 5*s. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-4 - 6)*((-114)\/(-361) + (-585)\/(-494))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -763178*c + 762830*c - 26100 = 0 for c.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -922655 minus -0.428?\nAnswer: -922654.572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (-8)\/(-518)*((-21)\/(-10))\/(333\/(-555))\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a**3 - 3820*a**2 - 45*a + 34380 = 0.\nAnswer: -3, 3, 764","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -9, -44, -81, -120, -161, -204, -249?\nAnswer: -296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 39 = 3*z, -18*z + 30 = -13*z + 5*b. Solve 0 = 4*k - 7*k - 9, 2*u + z = -3*k for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 59 = -3*y + 50, -4*y - 51 = -a. Calculate the highest common factor of 496 and a.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -v - v. Suppose a - 56 = -3*a. Let d = -4 + a. What is the least common multiple of d and v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 133645?\nAnswer: 5, 26729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 4*y**3 - 3*y**3 + 5*y**2 - 2*y**3 + 2 + 2*y**3. Let n be w(-5). Find the third derivative of -132*g**5 + 4*g**n + 125*g**5 + 6*g**2 wrt g.\nAnswer: -420*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wo when two letters picked without replacement from {o: 4, w: 2, a: 5}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 15267, -1, 5 in increasing order.\nAnswer: -1, 5, 15267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34*l = 35 - 103 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 77767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 at least 530\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 2*u + 5. Let p(s) = 4*s + 9. Let x = 3 - 3. Suppose 0 = -x*i - i - 2*b + 2, -5*b = -15. Let j(w) = i*p(w) + 7*c(w). Differentiate j(z) wrt z.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-95600005)\/(-20) - 5\/20. What is o rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d, 2 h, and 1 b when four letters picked without replacement from bdfffubfbhttbbhbbbub?\nAnswer: 3\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) be the third derivative of k**9\/12096 - k**8\/2016 - k**7\/336 - 16*k**5\/5 + 150*k**2. Let q(v) be the third derivative of m(v). Factor q(o).\nAnswer: 5*o*(o - 3)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 599249943.\nAnswer: 3, 67, 993781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 11 = 3*n, -2*s + 15 = 2*s + n. Suppose 4*q - 16 = -s*f, -f - 5*q = -3*q + 1. Calculate the greatest common divisor of f and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -26 - (-7 + 14 + -2).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 85 = -9. Let m = -32 - p. Suppose s - m*s = -20. Solve 2*d + d + 22 = -5*t, -s*t - 16 = 2*d for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) be the third derivative of -50\/3*j**4 - 4\/3*j**5 - 28*j**2 + 0*j + 0*j**3 - 1\/30*j**6 + 1. Suppose g(m) = 0. What is m?\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Do 1 and 2\/1049549 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 16) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/(-12))\/((-35)\/4 - -8)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*s**3 + 0 + s - 3*s + 5*s**2 - 13*s**2 + 14 + 0*s**3 to i*s**2 + w*s**3 + b*s + y and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (5*10\/250)\/((-1)\/(-10)). Solve 2*k - 3*k - b = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -168 = 15*o - 43*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (1\/(-3))\/(4\/(-24)). Let g(p) = p**2 - 4*p - 1. Let f be g(5). Suppose f = -k, 2*k = -y - a + 9. Solve -y = -2*w - w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -41406279 by 13802093.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in 16\/7, 1\/6, -3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 10) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 334*h - 986. Let o be k(4). What is the greatest common divisor of 125 and o?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -22*m**3 + m**2 - m - 2. Let a be j(-1). Suppose -a = -5*w + g, -5*w - g = -17 - 11. Solve -v + w*y = -16, 0 = -y + 2 - 6 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t = 2*j - 230, -4*j = -2*j + 128915*t - 128918*t - 20 + 174 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22 = 12*j - 14 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Add together 2 and 1738.01.\nAnswer: 1740.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 8, -2\/9, 0.1, -13?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10952 is divided by 144?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2107, -1227, -349, 527?\nAnswer: 1401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 147 - 148. Is n <= -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_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: Expand (7*u - 3*u - 17*u)*(2*u - 4*u + 1 + 3*u).\nAnswer: -13*u**2 - 13*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 7 by -13733374.\nAnswer: -7\/13733374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 0.19 * 0.09367\nAnswer: 0.0177973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 3*p + 16. Let h be j(-5). Let c(k) = 17*k**3 - 2*k + 1. Let g be c(h). Let w(x) = x**3 - 15*x**2 - 12*x + 12. Is w(g) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 338730923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-936)\/(-144))\/((-2470)\/120)?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 13884 and 2886?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2  (b) -1\/8  (c) 1000  (d) 1  (e) -0.03  (f) -0.1  (g) 1.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-18)\/54 + (-19)\/(-3). Which is the nearest to o?  (a) 2\/3  (b) -0.1  (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 6\/5 of a week?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*a**2 + 3*a**2 + a**3)*(1 - 1 + a)*(0 + 3 - 2).\nAnswer: a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 50345100 and 13902.\nAnswer: 352415700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4400 and 112992000?\nAnswer: 112992000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 749563 is divided by 128?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 35 and 847?\nAnswer: 4235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 9\/2552?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.230769 nanometers to millimeters.\nAnswer: 0.000004230769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 3 = -12. Let t = -4 + 4.2. Let g = -3.1 - -3. Sort k, g, t in descending order.\nAnswer: t, g, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = d**3 - d. Let y(o) = 3*o**4 + 16*o**3 - 14*o - 6. Let v(x) = 5*n(x) - y(x). What is the second derivative of v(a) wrt a?\nAnswer: -36*a**2 - 66*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/7?  (a) 0.192  (b) -4  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 30 = -6*v + r, -r - 9 = -v. Round v to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 412182305 to the power of 1\/3, to the nearest integer?\nAnswer: 744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1 + 233210?\nAnswer: 233211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p - 5*p = 50. What are the prime factors of 41\/2 - 5\/p?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) 23  (b) 0  (c) -0.03  (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 81 and 326187.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 543*a - 30 = 533*a. Solve 12*p = -a*p + 90 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 49802 or 49801?\nAnswer: 49801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(-1\/2))**(8\/3)*(v*v\/v**(2\/17))\/v*v**13)**(17\/7) assuming v is positive.\nAnswer: v**(640\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -10802.93 + 10759. Round q to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 13.2259422 to 2 dps.\nAnswer: 13.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -7 - -10. Suppose 6 = 3*k, -4*q = -0*k + w*k - 18. Suppose -q*x + 63 = -0*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13, -6, -14, -17, 0, 16 in ascending order.\nAnswer: -17, -14, -6, 0, 13, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t\/((((t**(-1)\/t)\/t)\/t)\/t)*t)**(-5\/3))**(-38\/5))**(1\/3) assuming t is positive.\nAnswer: t**(266\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6618 is divided by 187?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 25 + -23. Suppose -l + 161 = -c*a, -3*l + 7*l = 5*a + 638. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -341*b - 102*b + 34*b.\nAnswer: -409*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10 + -20002?\nAnswer: -20012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4 + u**2 + 5*u - 17*u - 6*u**3 - u**4 - 13*u**2 - u**2.\nAnswer: -(u + 1)**2*(u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 102 = 123*l - 121*l. Let h = 2 - 29. Let x = h + l. Is x a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 plus 2.744?\nAnswer: 1.744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 141\/235 + 432\/5 is divided by 24?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 79\/48 and ((-66)\/(-100))\/(198\/935).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 265631.5156 - 265676. Let a = r - 0.4856. Let h = a - -45. Round h to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*f**3 - 332*f**2 + 4*f + 332.\nAnswer: -4*(f - 1)*(f + 1)*(f + 83)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/11, -445, 3 in ascending order.\nAnswer: -445, -2\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = 385*i + 9994. What is b(-26)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine t, given that 3*t**2 + 3948*t + 1298892 = 0.\nAnswer: -658","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = a**3 + 5*a**2 + a - 2. Suppose -d - h + 16 = 0, d - 2*h + 56 = 5*d. Calculate the least common multiple of w(-4) and d\/(-9)*9\/(-2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6.9545, 1\/7, 41 in descending order.\nAnswer: 41, 1\/7, -6.9545","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -114 + 143. What is the remainder when 83 is divided by x?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (1*sqrt(132))\/(sqrt(11) + sqrt(11) + sqrt(121)\/sqrt(99)) + (5*(sqrt(3) + sqrt(9)\/sqrt(3) + 1 - -1*sqrt(3)*-6)*-1)**2.\nAnswer: -1394*sqrt(3)\/7 + 1224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 38 a factor of 337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5 - -204?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 1 = -24. Suppose -15*j = -10*j - 20. Suppose -2*p + j*i + 60 = -p, -94 = -2*p - f*i. Calculate the highest common divisor of p and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) be the second derivative of -7*l**5\/20 + l**4\/4 + 4*l**3\/3 + 19*l - 3. Let i(j) = 6*j**3 - 4*j**2 - 7*j. Calculate 5*a(p) + 6*i(p).\nAnswer: p**3 - 9*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 765508 to the nearest integer?\nAnswer: 875","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-272)\/102)\/((-2)\/3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = 4*u - 5*o, -5*u + 4*u - 5*o - 7 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2\/(-6)*-10 - 20\/(-30). Suppose -2*o - 5*b - 169 = -10, d*b + 406 = -5*o. What is o rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*b*i*m - 275682*b*i + 374*b*m - 27*m wrt m?\nAnswer: 2*b*i + 374*b - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 139479151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 100253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/(l*l\/(l**(-1\/3)*l*l)))**(-1\/16)*(l**(2\/7))**(1\/11)*((l**3*l*l)\/(l*l**(-2)))\/(l**(-2\/23)\/l**0) assuming l is positive.\nAnswer: l**(258053\/42504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y**2 - 6364*y - 6360 = 0.\nAnswer: -1590, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (419 + 1082 - 68)*(-2 - 7 + 8 - 2*o).\nAnswer: -2866*o - 1433","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-15)\/10)\/((-15)\/(-8)). Which is the biggest value?  (a) 18  (b) j  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.021384 times -5?\nAnswer: 0.10692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + 5 + (6*6*(sqrt(1300) + 1))**2 + (sqrt(1300)*2)**2*6*-1.\nAnswer: 25920*sqrt(13) + 1654906","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -690899*s - 93. Let w(y) = 1381798*y + 183. Let j(p) = 13*k(p) + 6*w(p). Let n be j(11). What is n rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-2)\/(-3))\/(1\/(-3)). Let z(x) = x**2 - 2*x - 3. Let g be z(c). Suppose w = -2*a + g, -2*a + 7*a - 23 = w. Sort 5, a, -3 in descending order.\nAnswer: 5, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00436496402 to five dps.\nAnswer: -0.00436","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*p + 1429 + 4495. Suppose p = -18*z + 5315. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 88896?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1278  (b) -8  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 9*t - 35. Let z(i) = 6*i - 17. Determine -3*h(g) + 5*z(g).\nAnswer: 3*g + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/19, 2\/361, 5 in descending order.\nAnswer: 5, 2\/361, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = 2*z + 2*a, -21*a + 24*a = -2*z + 33. Solve 0 = -z*w - 18 + 78 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1037?\nAnswer: 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rp when two letters picked without replacement from {r: 7, p: 4}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1588948 or 1588896?\nAnswer: 1588896","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) be the second derivative of 67\/3*s**3 + 10*s + 0 - 37\/2*s**2. Is l(19) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1903*s - 70 = -1893*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 12064064 to the power of 1\/3, to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 0 - (-12 + 2 + 5 - -7)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 92 - 86. Sort 1, j, 2.\nAnswer: 1, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) 4  (b) 0.105  (c) 2\/11  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1271 or -750278\/591?\nAnswer: -750278\/591","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in 1\/3, -5\/3, 34563?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -598*x - 359 + 36*x + 741 - 44*x - 382.\nAnswer: -606*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -74342 divided by 3?\nAnswer: -74342\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = 3*q + 41, 3*y + 2*y = 3*q - 4. Suppose p + 168 = 170. Let x be p + 2 + -1 + -2. Which is the third biggest value?  (a) x  (b) -0.5  (c) -5  (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 275*g**2 - 13 - 274*g**2 + 2*g + 5*g. What is the smallest common multiple of 5 and j(9)?\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (552\/(-184))\/((-1)\/((-8)\/(-18)))*-18?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 3*n**3 + 2*n**2 - 1. Let p = 3 + -9. Let o = p - -26. What is the smallest common multiple of o and f(1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2776\/6940)\/(2 + 24\/(-10)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.04 - 0.34. Let l = -1445 + 15899\/11. Sort -0.4, l, a, -1 in increasing order.\nAnswer: -1, -0.4, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1071655093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -5*g + 461. Let r(p) = -6*p + 463. What is 4*q(w) - 3*r(w)?\nAnswer: -2*w + 455","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -33 + 65. Let y = q - 50. What is the tens digit of ((2 - 0) + y)*27\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + sqrt(325)*1 + -4)*2.\nAnswer: -18 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 26*p**2\/3 + 1082*p - 116000\/3.\nAnswer: 2*(p - 29)*(13*p + 2000)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the second derivative of -m**6\/12 + 5*m**5\/8 - 5*m**4\/8 - 15*m**3\/4 + 358*m. Factor q(x).\nAnswer: -5*x*(x - 3)**2*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -112 + (24 - (30 - 76)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 2*a + 3. Let f(m) be the second derivative of -m**4\/12 + 9*m**2\/2 - 3*m. Let c be f(0). Is k(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2  (b) 2\/3  (c) -2  (d) 27  (e) 33.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5676552.\nAnswer: 2, 3, 7, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 19 = g, -u - 2*u = -2*g + 23. Suppose -4 - 8 = -g*y. Let r(j) = y*j + j - 3*j - 1. Let d(t) = -2*t + 4. Calculate -d(n) - 5*r(n).\nAnswer: -3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in fourty-seven quarters of a decade?\nAnswer: 1410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-8 + (-1 - 3 - -13))*121. Solve -2 = 120*k - d*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7649*q + 244082 + 90521 + 398666 = -39280 for q.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -k**3 + 8*k + 11. Calculate f(-5).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 92157\/5, -1\/2, 2\/7.\nAnswer: -1\/2, 2\/7, 92157\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -5 + 570?\nAnswer: 563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2b82a (base 13) to base 2.\nAnswer: -10100001011110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 22408 greater than 22450?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 549260 divided by 58\nAnswer: 9470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -332 (base 12) to base 14\nAnswer: -258","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -b**2 + 33*b - 119. What is s(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1684, -3, -5, 16, -4, 28 in descending order.\nAnswer: 1684, 28, 16, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 276 in 1\/6, 432, -65?\nAnswer: 432","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 259, 1322, 3083, 5542?\n\"Answer: 349*c**2 + 16*c - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 46\/5 of a litre in millilitres?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h, 1 g, and 2 c when four letters picked without replacement from {g: 1, c: 8, p: 2, h: 5}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p**(10\/11))\/(p*p*(p*p*p**1)\/p))**(-5) assuming p is positive.\nAnswer: p**(115\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11236 is divided by 575.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1.91 + -0.09. Let i be ((-1)\/3)\/((-2)\/9). Which is the second smallest value?  (a) i  (b) j  (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 301, 830, 1721, 3154, 5309, 8366, 12505, 17906?\n\"Answer: 30*w**3 + w**2 + 316*w - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 16\/15 of a hour?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 39*s**2 + 1. Suppose 3*x + b = -8, 2*b - 5 = 3*b. Let p be q(x). Suppose v = 57 - 52. What is the greatest common divisor of p and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*f + 3*s + 44, 4*s + 66 = -0*f + 3*f. Let k(c) = -f*c - 35*c + 57*c - c**2. Let g(o) = 14 + 25 + o - 14. Calculate g(k(q)).\nAnswer: -q**2 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 12*q**2. Let o(r) = 7*r - 5. Let a(c) = 20*c - 14. Let d(j) = -5*a(j) + 14*o(j). What is d(u(z))?\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 832639663?\nAnswer: 349, 2385787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -76.16  (b) -138  (c) 3  (d) -5  (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 585934270?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 46301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a*a**(-1\/2)*a)**42*a**(-5)*a**(-11))**24)**(-3) assuming a is positive.\nAnswer: a**(-3384)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 6) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 120\/28 - 0 - (-4)\/(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 8, y: 5}. Give prob of picking 2 y.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*s**3 + 198*s**2 - 3*s - 198.\nAnswer: 3*(s - 1)*(s + 1)*(s + 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (21*o - 21*o - 3*o**2)*(-13 + 12 - 2*o - 12)*(-o**2 + 4*o**2 + 0*o**2) - 6*o**5 + 2*o**5 + 3*o**5.\nAnswer: 17*o**5 + 117*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (31 + 44 + 6)*(2*d**4 - 3*d**4 - 2*d**4)*(0 - 2 + 5 + 3*d).\nAnswer: -729*d**5 - 729*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 41317.61 millennia in centuries?\nAnswer: 413176.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -k**3 + k**2 + 8*k - 12. Calculate y(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 117, 159, 201, 243?\nAnswer: 285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 17407.78 + -17408. Which is the third smallest value?  (a) z  (b) -32  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1120 + -886. List the prime factors of z.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 (base 13) in base 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 15*r**2 + 6708*r - 6710. Calculate p(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*g**4*y**2 - 12*g**4 + 10764*g**3 - 69680*g**2*y - 220*g*y**2 wrt g.\nAnswer: -72*g*y**2 - 288*g + 64584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1195 is divided by 388.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 + -11 + 10)*310\/(-12) - 99\/297?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 divided by -742656.\nAnswer: 11\/742656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -x**2 + 3*x + 3. Give o(-4).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/20 of a micrometer in nanometers?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1147.055 - 1149. What is l rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1984427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 - 2)*(-4*g + 0*g + 2*g) - 1130 + 2581 - 1469 - 19*g.\nAnswer: -15*g - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4690 and 43550?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 459 minutes after 8:53 PM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 899070832 to the nearest integer?\nAnswer: 965","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*b**5 + 157040*b**4 - 1232763960*b**3 - 4932940480*b**2 - 4933568720*b.\nAnswer: -5*b*(b - 15706)**2*(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8909\/649 + -2 - (-4)\/(-66)?\nAnswer: 35\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vvvyvvvvvyvvv. Give prob of picking 3 v.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -20, -5, 5, 3\/7, 0.09?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) 3.5  (b) -6\/5  (c) 1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -79 - -77. Let s be 2\/(-8)*(n + 6). Let t = -10 - -6. Which is the nearest to 0.3?  (a) 3\/2  (b) t  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 35099893 to the nearest integer?\nAnswer: 5925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 60641 or 1394744\/23?\nAnswer: 1394744\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 209708.9971 - 209662. Let w = l - 47. Round w to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1230, 1132, 960, 714?\nAnswer: 394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.536276517 to three decimal places.\nAnswer: 0.536","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -3*c, 5*c - 8*c - 521 = -4*g. Suppose 64 = 11*k - g. Solve -4 = -4*h, 0*y = -3*y + 3*h - k for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) be the third derivative of y**5\/420 - 31*y**4\/6 + 289*y**3\/14 + 421*y**2 + 3*y. Factor d(n).\nAnswer: (n - 867)*(n - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -w + 9. What is the remainder when 23 is divided by v(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -43266.267 to the nearest 1000.\nAnswer: -43000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 2*x**3 - 16*x**2 + 4*x - 19. Let d be t(8). Suppose 0 = -b + 3*u + 2969, -d*b + 8851 = -10*b + 5*u. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) be the first derivative of 1 + 1\/2*f**2 + 0*f. Let o(n) = n**2. What is o(k(v))?\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -969.2 - -1456. Let y = x - 487. What is the nearest to 0.3 in y, 0.1, -9, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.65 and -55852.\nAnswer: 36303.8","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + -13 + 23 - (1 - -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.4 and -153?\nAnswer: 61.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -5*s + 24. Is o(-18) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4009 is divided by 665.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = o**3 - 5*o**2 + 1. Let q(x) = x**3 + 3*x**2 - 3*x - 4. Let h be q(-3). Let n be t(h). Let c(s) = s**2. What is c(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 280?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.1 from 28.8.\nAnswer: 28.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 9 + -3580?\nAnswer: -3573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -23*k. Let h(c) = -1. Let n = -18064 - -18065. What is n*h(s) - z(s)?\nAnswer: 23*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:00 AM and 3:16 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -5*n + 8. Give m(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:38 PM and 1:56 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-x**2 + 0*x**2 - x**2)*(-5 - 1 + 4) + 4444*x**2 - 3343*x**2 - 2489*x**2.\nAnswer: -1384*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 152322 divided by -2.\nAnswer: -76161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide 1439691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1400 and 18970?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 51 divide 10775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -19, -23, -29, -37, -47?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.37 + 1.03. Let m = -1.1 + z. Let s = 0.2 - m. Sort 6\/5, 0, s in ascending order.\nAnswer: s, 0, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 827572 to the power of 1\/2, to the nearest integer?\nAnswer: 910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 820, -5, 4, -3 in decreasing order.\nAnswer: 820, 4, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (-25)\/((-200)\/(-6))*52\/(-39)*-38\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 90006 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 758618*p - 758614*p + 160 = 0 for p.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) be the first derivative of -k**3\/3 - 2. Let y(m) = 5*m. Give y(p(n)).\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -8 + 14. Let j(l) = l**3 - l**2 - 7*l + 7. Let n be j(5). Suppose 0 = q + 2*q - n. Solve 2*b + s*a - a + q = 0, 0 = 2*b - 3*a - 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 14602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*d + 3*d**3 - 69*d + 17*d.\nAnswer: 3*d**3 - 38*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 4 = 0, l + 3*g - 6*g - 23 = 0. Let o = l + 22. Is 24 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -52.36 to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 27, 57, 85, 111, 135?\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -235473 by 11213.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -8*s**2 - 244*s + 16. Let o be a(-32). Which is smaller: o or -370?\nAnswer: -370","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 92633893.\nAnswer: 11, 83, 241, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 450516721.\nAnswer: 450516721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that 4*w**2\/7 - 844*w - 5912\/7 = 0.\nAnswer: -1, 1478","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -3310 (base 4) in base 5?\nAnswer: -1434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 16\/175 and 38\/175.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1385.\nAnswer: 5, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2548 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*s - 10*s**4 + 0*s + 3*s**4 + 1 - 1 + (-2 + 2 - 1)*(3*s**4 - 3*s**4 - 9*s**4) in the form b + p*s**2 + o*s**4 + y*s + a*s**3 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 2*s - 21. Let a be (-8)\/((-64)\/12)*8. Let c be y(a). Suppose o = 4*v - 102 - 16, o = c*v - 88. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-140)\/(-3) - -2)\/(4\/66) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(1\/2)*y)**29*y*y\/y**4*y*y*((y**(-6)*y)\/y)\/y*y assuming y is positive.\nAnswer: y**(75\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -106379*v + 210 = 9*z - 106377*v, 5*z = -3*v + 111 for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 329501823 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: Calculate -3 divided by 37.\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 5320 and 5320?\nAnswer: 5320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = q**2 - 3*q - 2. Suppose -50 = 2*l + 2*h, -5*h + 19 = -2*l + l. Let f = -21 - l. Calculate o(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -68*f**2 + 26*f**2 + 22*f**2 + 15*f**2 - f**2.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -16*g**2. Let y(d) = -7*d. Calculate p(y(m)).\nAnswer: -784*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -2 + q**2 + 0*q - 2*q - q. Let d(r) = 2*r + 1. Suppose -31*b - 17*b + 19*b - 58 = 0. Determine b*z(t) - 3*d(t).\nAnswer: -2*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -11 divided by -12\nAnswer: 11\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (308\/224)\/(4\/(-32))*1\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -j**3 - 10*j**2 - 10*j - 9. Let g be l(-9). Let z = -48 - -82. Let i = z - 33. Which is the nearest to i?  (a) 1\/2  (b) 5  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 404 + -406. Which is the third biggest value?  (a) -0.3  (b) h  (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -77\/18 and 49\/31518420?\nAnswer: 94555260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ynynnnnnnnnyny. What is prob of picking 1 y and 3 n?\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.9398 + 4.9398. Let k = 0.36 + 0.04. Which is the third smallest value?  (a) -3  (b) k  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 3, x: 3}. What is prob of sequence hhhx?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 8 by -587452.\nAnswer: -2\/146863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mammammamammmmmmmmma. What is prob of sequence maam?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 38*f = 42*f + 3*v - 25, 2*f + 3*v - 5 = 0 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 3, k: 4}. What is prob of picking 1 k and 2 i?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 500605, 999474, 1498343, 1997212, 2496081?\nAnswer: 2994950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 41352?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -0.335*-1.4\nAnswer: 0.469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.9643396cm to micrometers.\nAnswer: 9643.396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 4  (b) -8108  (c) 1\/4  (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in fifty-seven halves of a kilogram?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4893, 20, -21 in increasing order.\nAnswer: -4893, -21, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 2*a - 112. Suppose 21*y = 2*q + 22*y - 128, 0 = -5*q + 3*y + 298. Let p(z) = -27*z**2 - 36*z**2 + q*z**2. Determine p(v(m)).\nAnswer: -4*m**2 + 448*m - 12544","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -2511*p + 40189. Give b(16).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yrk when three letters picked without replacement from rrrkkekkryrrrrrer?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n**2 + 911624*n + 103882289672 = 0 for n.\nAnswer: -227906","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 21*n - 16*n. Let s(m) = m**2 + m + 4369. Let x be s(n). Let f = 1839 - x. What is f rounded to the nearest 100?\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 4\/217 or -1?\nAnswer: 4\/217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 times -276326?\nAnswer: -110530.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bn when two letters picked without replacement from yyvpnvnbvypepypnn.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 388 minutes before 6:46 AM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 2*q**2 + 2*q**2 + 3*q**2. Suppose z - 3*p = 17 + 16, -3*z + 71 = -2*p. Let l(h) = -z*h - 11*h + 25*h. Give l(j(f)).\nAnswer: -49*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -k**3*u + 2968*k**3 - 51*k**2*u**2 - 4*u**2 wrt u.\nAnswer: -k**3 - 102*k**2*u - 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -2111 (base 3) in base 9?\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = h**3 - h**2 - h. Let p(v) = v**5 + 3*v**3 + 34*v**2 - 3*v. Let d(l) = 3*m(l) - p(l). What is the third derivative of d(o) wrt o?\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1544 and 89938?\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -102*b + 1606 = 109*b + 4982 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 835 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: Calculate the greatest common factor of 3199 and 17213.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -37018*x + 113304*x + 28342*x + 40648*x.\nAnswer: 145276*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 30 and 392.\nAnswer: 5880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -3*g - 1. Let s = 109 - 111. What is w(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + -2*sqrt(343)*-3 + -5 + -2*sqrt(343) + sqrt(343) - (5 + sqrt(343) + 0 + 2)*5)**2*4.\nAnswer: 6724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 36 minutes after 9:01 AM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**2)**(-2\/59)\/(p*p**(2\/11))**(-16) assuming p is positive.\nAnswer: p**(12228\/649)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 6 - 5 - 7 + 2*t - 4 in the form l*t + s and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 122, 242, 362?\nAnswer: 482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 782517 is divided by 15048.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 26, 26, 30, 44, 74, 126, 206?\n\"Answer: s**3 - 4*s**2 + 5*s + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -x + 2*x. Let f(z) = x*z + z - z. Let i(q) = -3*q. Let r(k) = 3*f(k) + 4*i(k). Let j(d) = 2*d. Determine r(j(g)).\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) be the first derivative of -4*m**3\/3 - 3*m**2\/2 + 16. What is the second derivative of a(y) wrt y?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l, 1 f, and 2 n when four letters picked without replacement from lfflfffnnflnlnfffff?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l + 534 - 524 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.04 - 4.96. Let o = 4 + -4. Suppose 8 = -2*r - o. Put x, r, 0.1 in decreasing order.\nAnswer: 0.1, r, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -55 + 66 + (-9 - 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cxordllro. What is prob of sequence drrx?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 10*(3 - 5)\/(-4). Let u be (-136)\/(-6)*(-6)\/(-4). Suppose -3*j + 2*w + u = 0, 2*j + 4*w - m = 23. What is the greatest common divisor of j and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*l**3\/7 - 24*l**2\/7 + 90*l\/7 - 108\/7 = 0. Calculate l.\nAnswer: 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*v - 4*a + 20, -2*a = -8 - 0. Let s be (-3)\/(3*v)*1254. What is the common denominator of 67\/10 and (-4)\/(-21)*s\/22?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ssshqzs. What is prob of picking 1 z, 1 q, and 1 s?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1222321 + 112?\nAnswer: 1223033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 14, 1, -19504, -3, -1, 3 in descending order.\nAnswer: 14, 3, 1, 0, -1, -3, -19504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 1. Let y(b) = b**3 + 1. What is -5*l(m) + 5*y(m)?\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -22 + 17. Let l be (-1 - -8) + 3 + g. Suppose -3*f = -l*f + 62. List the prime factors of f.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-12)\/10)\/2)\/3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*j - 7*j = -5*u - 16, 0 = 2*j + u + 16. Let g(b) = -2*b - 7. Calculate g(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xmmk when four letters picked without replacement from xmmmkxxxoxmxkmxx?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -q - 5*c - 15, -25 = -q + 7*c - 2*c. Find the second derivative of 2*j**5 - 2*j - 9*j**3 + 9*j**3 + 2*j**q wrt j.\nAnswer: 80*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7742*t + 2596*t + 2594*t + 2573*t.\nAnswer: 21*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 + 154*j - 6 - 154*j - j**2 + 16*j**3 to k + m*j + c*j**2 + u*j**3 and give u.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -968, -961, -924, -845, -712, -513?\n\"Answer: 2*j**3 + 3*j**2 - 16*j - 957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 111 a factor of 78336784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1643*r - 88.\nAnswer: -1643","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-7\/2)\/b**(-25))\/(b**16*b*b\/(b\/(b**(-1\/19)*b*b))) assuming b is positive.\nAnswer: b**(97\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 221 + 12?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 5, h: 3}. Give prob of picking 1 h and 1 a.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -4*t + 19. Let a be n(5). Let w be 57032\/(-48) - a\/(-6)*-1. What is the common denominator of 23\/6 and (-1976)\/w - (-6)\/(-33)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -24\/85 + 1319\/1360. Is 0.9 > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10914, 10852, 10748, 10602, 10414?\nAnswer: 10184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:38 PM and 4:25 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 430 minutes before 6:28 PM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) be the first derivative of w**2\/2 - 2*w - 2. Suppose 3*h - 2*z = 9, -2*h + 6 = 5*z - 4*z. Calculate a(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fourty-three halves of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -9*p**6 + 19 + 20 - 39 - 11*p**2 wrt p.\nAnswer: -1080*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 393 divide 557383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 35 - 18. 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 15.43129l in millilitres?\nAnswer: 15431.29","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**0)**0)**(1\/12)*(((c*c**(1\/6)\/c)\/c*c)\/c)\/(c*c\/(c\/c**(5\/2)))*c**(3\/2)\/(c\/((c*c\/(c*c**1))\/c)) assuming c is positive.\nAnswer: c**(-29\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19290 is divided by 2814?\nAnswer: 2406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -0.3  (b) -0.035  (c) 4  (d) 7.78  (e) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -324 + 331. Let i be (-2 + 2)\/((-18)\/(p - 1)). Solve -m + i*m - f = 0, 0 = 2*f - 10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 + (0 - -3) - (13 - (-28 + 27))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**9*n**1 assuming n is positive.\nAnswer: n**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r + 3*c = 0, -14 = 4*r + c - 1 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -1, -3, -4 in decreasing order.\nAnswer: 0, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 16\/(-14) + (-1556928)\/672. Let b = -2316 - n. Determine m so that 4 + 4\/3*m**b - 2*m**3 + 38\/3*m = 0.\nAnswer: -2, -1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 43*u - 38*u - 2*y + 50, 15 = 3*y for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(85)*5 + sqrt(85) + sqrt(85) + 6*(sqrt(85) - sqrt(85)*1))\/((sqrt(500) - -5*(sqrt(500) + (5*sqrt(500) + sqrt(500) - sqrt(500))))*4).\nAnswer: 3*sqrt(17)\/310","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Do -6 and -405\/68 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -4*o**3 + o**2 - 6*o - 1. Let z(q) = -5040*q**3 - 15110*q**2 + 24*q + 4. Let r(l) = -4*n(l) - z(l). What is the third derivative of r(w) wrt w?\nAnswer: 30336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 15*t + 3. Let y be 25*(-1 + -1)\/(-2). Suppose y = 3*g + 2*g + 5*i, -5*g + 57 = -3*i. Let x(d) = -7*d - 2. Let o(n) = g*x(n) + 4*z(n). Give o(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/((-24)\/38) - (-8)\/32\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 430063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 (base 6) in base 10?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 2.11750934 - 5.438\nAnswer: -3.32049066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 21 - 6 = 0. Does 3 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*d**2 - 3*d**2 - 10*d**2)*((-2*d**2 - 5*d + 5*d)*(-4*d + 0*d + 2*d) - 3*d**3 + d**3 - d**3).\nAnswer: -9*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0069829 to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that 5*g**3 + 59520*g**2 + 59505*g - 119030 = 0.\nAnswer: -11903, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (0 + 4 - (13 + (6 - 14))) + -19\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) be the first derivative of 13*d**4 + d**3 - 448*d + 764. Differentiate l(t) with respect to t.\nAnswer: 156*t**2 + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1330042 rounded to 3 decimal places?\nAnswer: 0.133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 6*m**2 - m + 3. Let v be f(1). Suppose -6*p + 5*p + 2 = 0. Suppose -2 = -p*s + 8. Solve 0 = -s*t - c - 3*c + 16, -t = 2*c - v for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) be the first derivative of -5*f**3\/3 - 1. Let z(a) be the second derivative of a**4\/12 - 21*a. Determine l(z(r)).\nAnswer: -5*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -k**2 + 18*k + 6. Let u be t(14). Let p = 66 - u. Solve 9 = -a - 5*v, -3*a - p*v = -0*a + 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1109042 rounded to three decimal places?\nAnswer: -0.111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 4 - 2)*(-2*l - 3*l + 3*l)*(2 + 0 - 5).\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 194384071.\nAnswer: 7, 29, 957557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 20\/6*((-453336)\/(-90))\/13. Let q = 1295 - n. Find the common denominator of 58\/33 and q.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) be the second derivative of h**3\/6 + 25*h**2\/2 - 2*h + 67. Calculate z(-16).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(76)*3 - sqrt(76))\/(sqrt(20)\/(sqrt(5)*1)) + (sqrt(228) - 2*sqrt(228)*6 - sqrt(228))\/(4*sqrt(12)*-1 + sqrt(12)).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 582316257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/(-10)*1295\/(-74)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 1146, 1156, 1180, 1224, 1294, 1396, 1536?\n\"Answer: q**3 + q**2 + 1144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 252596280 divided by 5?\nAnswer: 50519256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11295251?\nAnswer: 11, 251, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00846532831 to 7 dps.\nAnswer: 0.0084653","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1\/20 + -73\/140. Find the common denominator of s and 58\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -33 + 21. Let s = -8 - x. Suppose 5*l = 4*d - 4, -4*d - 15 = 2*l + 9. Which is the closest to l?  (a) -0.5  (b) s  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 3*p - 2 = 0. Let u = -6.9 - -7. Which is bigger: p or u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1987 + -1937. Which is bigger: 48 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -46*m**2 - 6*m**2 - 94*m**2.\nAnswer: -146*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -1862145.6123 to the nearest 1000.\nAnswer: -1862000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m**(1\/3)*m)**(-2\/5)*(m*m\/m**(1\/11)*m)\/((m\/(m\/(m\/(m\/(m**(-2\/13)*m))*m)))\/m) assuming m is positive.\nAnswer: m**(2423\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 55 a factor of 1804498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-116)\/(-38) - (600\/25 - 21).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 - -2374 - (7 - 6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*sqrt(130) + sqrt(130) + sqrt(130))*-3 + sqrt(130))\/sqrt(10).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2902931281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 540 and 24?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in 2, 3, -0.7, -1\/5?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*c**2 - c**2 + 2*c**2)*(-5*c - 3*c + 5*c + (3 + 0 - 5)*(-4*c + 5*c - 6*c) - 6*c + 2*c + 20*c).\nAnswer: 69*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -3590523 rounded to the nearest 100000?\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 49\/12 + -17\/6. Let w = 23.7 + -24. Let a = 138 + -143. Put m, a, w in decreasing order.\nAnswer: m, w, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - -5) + (-28)\/8\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 88 + -62. Suppose 5*s = 3*s + w. Suppose -p + 5*l + s = -9, 4*l + 55 = 3*p. Is 5 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -11 and -5.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 times -1140.378\nAnswer: -342.1134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 3*r**2 - r. Let i be v(1). Let w be ((-52)\/7)\/4 + i. Let t = 6356 - 6351. What is the smallest value in w, t, -0.1, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**5\/w*w**14)\/(w*w**(2\/13))**(-13))**(-1\/36) assuming w is positive.\nAnswer: w**(-11\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from vvvvsvsvvsvsvvvvvsv?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 547 is divided by 265.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (286\/55)\/(17\/85). Solve 20 = -u*q + 30*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 1, u: 2, p: 1, q: 2, z: 2, y: 5}. What is prob of sequence rpu?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3*2\/15*15*10\/((-23370)\/(-41)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) be the second derivative of 1\/12*s**4 + 12 + 5\/3*s**3 - 2*s - 35\/2*s**2. Let u be w(-13). Is u at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(4\/(-198)*12)*(-116)\/(783\/(-27)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 4*x = -9. Let f be 3\/1 - x\/(-3). Let z(g) = 7*g**3 - 2*g**2 - g. Is 17 a factor of z(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -3036 - -6671?\nAnswer: 3633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.12 and -1117532.\nAnswer: -1117532.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*s = -114 + 289 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j, 1 z, and 1 s when three letters picked without replacement from {s: 1, z: 2, j: 14, a: 2}?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4701 - 4701 - 70*u**3)*(-99 + 54 + 58)*(2 - 2 - 2*u).\nAnswer: 1820*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 y when two letters picked without replacement from {i: 4, y: 1, x: 2, q: 1, b: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 2588, -0.03911, 0.6 in descending order.\nAnswer: 2588, 0.6, -0.03911","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 11 + -8. Sort -0.3, 1, c in increasing order.\nAnswer: -0.3, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -79.061 + 79. Round k to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1257 divided by -3.\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*n - n**2 + 4*n)*(-n + 4*n + n) - n**3 + 0*n**3 - n**3 - 3*n**3 + 2*n**3 + 3*n**3 as h*n**2 + b + y*n + o*n**3 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 19591762 and 4089?\nAnswer: 1363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 27 and 57852?\nAnswer: 173556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3397 + 3399. Factor 1\/3*v**2 - n*v + 3.\nAnswer: (v - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8 + 2*a - 7 + 2*a - a.\nAnswer: 3*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-6 + -7 + 12)\/(0 + -2). Suppose 2*u = s + 10 - 3, 4*s = 3*u - 8. What is the closest to x in s, -5, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -5*i + 19. Let v be j(4). Let n(t) = -6*t**3 - t. Calculate n(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 6574012 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1512996 to the power of 1\/3, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (17\/102 - 5\/((-630)\/(-13)))\/(2\/9)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -91 - 96 - 105 - t**2 - 2*t - 67.\nAnswer: -t**2 - 2*t - 359","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 4 + 1456?\nAnswer: 1463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -369*c = -342*c - 162. Factor 9*i + c - 9\/4*i**3 - 3\/2*i**2.\nAnswer: -3*(i - 2)*(i + 2)*(3*i + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 27541 + -220329\/8. Let k be 2\/9 - (-110)\/(-90). Which is the smallest value?  (a) 0.5  (b) o  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-5)\/(-5))\/(2\/2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -69*b + 60*b = -45. Solve 4*l = l - b*x - 5, -2 = 2*x for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -1*(-116)\/(3 + 1). Suppose -37 - 113 = 5*b. Let m = b + x. Which is smaller: m or -2\/97?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -f - 8. Let m be a(-10). What is x in -m - 10*x + 15*x - 2*x**2 - x = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 44*v + 6. Let q(u) = 10*u + 67*u + 75*u - 5 - 196*u. Calculate 5*q(r) + 4*z(r).\nAnswer: -44*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 474 minutes before 7:32 PM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -418250 divided by 35?\nAnswer: -11950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4\/40*-4*-5. Round n to zero dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 55 a factor of 2753575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Product of -28751 and -0.7.\nAnswer: 20125.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-99)\/(-12)*((-44)\/12 - -5). What is the highest common divisor of 23683 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) 2\/17  (b) 1  (c) -3  (d) 0.05778\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w*w*w*w**(-3\/4)*w*w**(-2\/13)*w)\/(w**1*w\/(w*w**(1\/12)\/w*w)) assuming w is positive.\nAnswer: w**(163\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 15 = -5. Suppose 10 + 5 = m*u. Let s(b) = b**3 - 4*b**2 + 2*b - 1. What is s(u)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by -30578972\nAnswer: 1\/30578972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = w**3 + 8*w**2 + 5*w + 14. Calculate s(-6).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 10518 and 30?\nAnswer: 52590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -p + 9. Let m be s(7). Let z(b) = 3 + b + m*b**2 + b - 2*b - 6*b. List the prime factors of z(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*j - 8*j + x + 22, -2*x = -4*j + 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (4\/(-2))\/(((-72)\/(-4))\/9)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 - 2 + 6)*(8 + 18 - 1)*(-36 - 40 + 7*z + 78) in the form k + h*z and give h.\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -91 - -91. Sort 1\/4, j, -10\/13 in descending order.\nAnswer: 1\/4, j, -10\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 67*j + 71*j + 33*j + 32*j - 31*j.\nAnswer: 172*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -2*q**2 - 3. Let v = -19 - -40. Let a = -787 + 765. Let o = v + a. Let k(f) = -f - 1. Give o*l(j) + 2*k(j).\nAnswer: 2*j**2 - 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1113)\/(-1540) + 147\/(-28) + 5 + 270\/(-225).\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -5*i**2 + 407*i + 4554. Give h(-10).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 36 is divided by 22.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 285.939 - 286. Which is smaller: h or 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -26012, -26290, -26662, -27128, -27688, -28342?\n\"Answer: -47*a**2 - 137*a - 25828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 481*o - 65. Let s(w) = 15*w - 2. What is 2*g(d) - 65*s(d)?\nAnswer: -13*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -g**3 + 4*g**2 - 2*g - 6. Determine p(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -69*g**2 - 7 - 11*g**2 + 99*g**2 + 1 - 10*g**2.\nAnswer: 9*g**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) be the second derivative of 0 + 0*h**2 + 0*h**3 + 1\/12*h**4 - 6*h - 7\/20*h**5. Find the third derivative of r(l) wrt l.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2165*k**2*m**3 - 10*k**2*v**3 - 12*k**2*v - 4*k*m**3*v - 70*k*m**2*v + m**3*v**3 wrt m.\nAnswer: -12990*k**2 - 24*k*v + 6*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = z**3 + 8*z**2 - 7*z + 3. Give g(-9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*y - 1100645*y**2 + 1100651*y**2 + 9*y.\nAnswer: 6*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = r**3 - 80*r**2 - 3164*r + 290. Determine i(109).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 1395 = 3*n, 3*n + i + 1387 = 6*n. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 333?  (a) -0.9  (b) -0.5  (c) 0.009  (d) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -6\/19  (b) 0.4  (c) 4  (d) -0.3  (e) 4\/27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r, 1 c, and 1 m when three letters picked without replacement from gmsrcsr?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express t + 13 - 3*t**4 - t**4 - 15 - 18*t**3 + 5*t**4 in the form n*t + c*t**2 + j + p*t**3 + b*t**4 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2358035 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - 4 - 2) + -8?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/(s\/s**6)*s)\/s**(-12))**(-4)\/((((s*s**(-1\/5))\/s)\/(s*s*s**(-5)*s))\/(s**(-2\/19)*s*s**(-8)\/s*s)) assuming s is positive.\nAnswer: s**(-8066\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (39 - (108 + -84) - ((-3 - -1) + 7)) + -53.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -78 + 78 + 15*p**2 - 6*p**2.\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that 33*d**3 - 1698*d**2 - 7656*d + 349440 = 0.\nAnswer: -160\/11, 14, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 5129820 and 1709940.\nAnswer: 5129820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -m**2 + 3. Let c(h) = 2*h**2 - 5. Let z = 0 + -5. Let l(u) = z*b(u) - 3*c(u). Let w(j) be the third derivative of j**4\/24 + j**2. Give l(w(k)).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 - 16135 = -18*o. Let y = -618 + o. List the prime factors of y.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4511.\nAnswer: 13, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*f**3 + f**3 + 0*f**3 + (-2*f**2 + 2*f**2 + 2*f**3)*(-6 - 2 - 4) to j + a*f + y*f**2 + u*f**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (-74 + 45*v + 74)*(6 - 4 - 4) + (-3 + 2 + 11)*(-v - 4*v + 4*v) as q*v + z and give q.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -110 + 162. Calculate the remainder when 99 is divided by z.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0*(-3)\/(6\/2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 279*u - 268*u - 66 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 2*b + 4*b - 6 = 0, -2*m + 18 = 5*b. Let l be m*(-3)\/((-6)\/4). What is the common denominator of 1\/6 and 7 - 5 - 32\/l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 1 + 1641*l**2 + 1 - 1617*l**2.\nAnswer: 24*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -18 + 20. Solve y*l + 3 = 5*c, -c + 6*c = -3*l + 8 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 236314, 236245, 236176, 236107, 236038?\n\"Answer: -69*w + 236383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3 - 1. Solve 0 = q + 4*m - 12, -q - q - 16 = -d*m for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2816)*-2)\/(-2*sqrt(4)*-1).\nAnswer: -8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*y + 47*y = 153*y - 1659 for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -10.11 + 10.41. Let k = -27 - -23. Is g > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from {q: 4, a: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -1209655 (base 12) in base 16?\nAnswer: -356861","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-111)\/(4218\/3040) - -44?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 35*w**2 - 2 + 7*w - 36*w**2 + 0*w. Calculate x(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange x**2 - 96*x**4 + 3*x - 2*x**3 + 79*x**4 + 4*x**3 to i*x**4 + t*x**3 + h*x + l*x**2 + s and give i.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 4\/(12\/9 + -2). Let d = y - -8. Let k be 15\/9 - 2\/3. Which is bigger: d or k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6032)\/(-338) - (39 - 21) - 93\/(-351).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (sqrt(704) + -1 + sqrt(704) + 1 - (sqrt(704) - (2*sqrt(704) + sqrt(704) + -4)) - (2 + (sqrt(704) - sqrt(704)*-1) + -1))**2 + 5.\nAnswer: -160*sqrt(11) + 2841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-9)\/(-15) + 34\/10. Let r(z) = 12 - 18 + 4 + g*z + z. Give r(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -30 - -60. What is the greatest common divisor of t and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48 = 21*v - 24*v. Is v a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1193*k + 2467*k - 1200*k.\nAnswer: 74*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -5177 and 0.004335?\nAnswer: -22.442295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 18998, 76392, 172044, 305948, 478098, 688488, 937112, 1223964?\n\"Answer: -n**3 + 19135*n**2 - 4*n - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wwaqawwwtwqwww. Give prob of picking 2 a and 1 t.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4 + 1. Let q(w) = w**2 + 3*w. Let n be q(f). Let g(a) = -a**3 + 4*a**2 + 7*a. Let s be g(5). Solve c - 5*c + s = -2*m, n = -3*m + c + 5 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-3)\/2)\/((1 + 0)\/(-46)). Let d = 73 - s. Let i be d - ((-28)\/(-4) + 0). Let c(n) = n**3 + 3*n**2 + 3*n - 2. Give c(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) be the third derivative of 253*n**7\/105 + 73*n**5\/60 + 321*n**2. Find the third derivative of t(d) wrt d.\nAnswer: 12144*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -6908, -478, 5 in increasing order.\nAnswer: -6908, -478, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-18 + -2 - (-6 + -11)) + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/7, 14.9, -8 in descending order.\nAnswer: 14.9, 2\/7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2153173*m**2*r**4 + 2*m**2*r - m**2 + 11*m*r - 1916*r**2 + 19*r wrt r?\nAnswer: 51676152*m**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 159*z = 157*z - 5*i - 313, 3*z + 4*i = -249 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -33, -33, -25, -3, 39, 107?\nAnswer: 207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*n - 1 + 1)*(0 + 1 + 4)*(-1 + 1 - 1)*(1 - 4 + 5 - 11 + 7 + 33 + (2 + 1 - 1)*(-2 + 5 - 1) - 1 - 3 + 7).\nAnswer: 380*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*r - 2*r + 16 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 99*f**2*x**3*y - 2*f**2*x + 3*f**2*y + 94*f*x**2*y - 4*f - 2*x**3*y wrt f.\nAnswer: 198*x**3*y - 4*x + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -176 - 5470436466.\nAnswer: -5470436642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 10d55 + 11?\nAnswer: 10d66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) be the second derivative of 19*u**6\/30 - u**4\/6 - u**3\/2 + 8*u**2 + 22*u - 5. Find the second derivative of r(g) wrt g.\nAnswer: 228*g**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = m**2 + 2*m + 2. Let z be h(0). Solve 2*f - 9 = -z*d + f, 0 = 3*d - 3*f for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (12 - 12 + 10*w)*(-w**2 + 2*w**2 + w**2)*(w + w - 5*w) as f*w**4 + q*w**3 + x*w + k + t*w**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2 + 40?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 - (2 + (1 - -1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 375536?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*v + 10*v - 10*v + 3 - v + 3*v - 4*v - v + 0*v + 3*v + v - v + 2*v + (-5 - 1 + 4)*(2*v - 1 + 1) - 5*v + 2*v + 2*v - 4 + 4 + 2*v.\nAnswer: 4*v + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -106.91688 rounded to one dp?\nAnswer: -106.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 - 5\/2*f**2 - f + f**4 + 1\/4*f**3 + 1\/4*f**5 = 0. What is f?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 13958?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 5, w: 6, r: 1, j: 2, q: 2}. What is prob of picking 1 q, 2 c, and 1 r?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 41 + 21*b**2 - 70 + 31 in the form z*b**2 + j*b + i and give z.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*y**3 + 0*y**3 + 2*y**3.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -324*v = 172*v + 9424 for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -14 - -18. Suppose -2 = -2*c + z. Let l be 2\/c - (-144)\/(-297). Is l at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-56 - 371 + 51)*(342 - 342 - 29*b)*(3*b - 3*b - b) as k + y*b + v*b**2 and give v.\nAnswer: -10904","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u = p + 16, -u + 105 = 8*p + 69 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -404762 + 3*t**2 + 6*t**2 - 10*t**2 + 404762.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 24\/(-13) - (-3202948)\/1955616?\nAnswer: -5\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 592 minutes after 2:09 AM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9)\/(-6) - 9\/((-1080)\/(-460)) - 1*-4.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = h**3 + h - 5. Let g be w(0). Let y = -1575 + 1575.2. What is the biggest value in g, y, -7\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let i = 54 + -56. Let z be (-30)\/(-8) - i\/16*2. What is the second derivative of 21*r**4 - 11*r - 13*r**4 + 7*r**z wrt r?\nAnswer: 180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) be the third derivative of t**6\/20 + 34*t**4\/3 - 1573*t**3\/6 - 59*t**2 - 12*t. Find the first derivative of w(z) wrt z.\nAnswer: 18*z**2 + 272","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*t**2 - t + t - 3807*t**3 + 3606*t**3 + (2 - 2*t**2 - 2)*(-2*t + 0*t + 3*t) - 2*t**3 - t**2 + t**2.\nAnswer: -205*t**3 + 3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Let h be (-24)\/(-10) + 6\/(-15). Suppose -a - 4*a - u = -104, -2*a + h*u = -32. Solve 5*b = -0 - a for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*c + 15, -3*g + c + 1 + 1 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 61442707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) be the third derivative of -3*c**2 + 1\/60*c**5 + 0*c + 0*c**4 + 0 - 1\/2*c**3. What is the first derivative of l(v) wrt v?\nAnswer: 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 306 divided by 102?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -4 - 536245?\nAnswer: -536249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1855 - -2506. What are the prime factors of b?\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(1\/2)*w)**(7\/4)*(w*w*w*w\/(w\/(w\/w**(-2\/15))*w))\/(w\/((w*w**(7\/5))\/w))*w**(-1\/4)*w**5*w*(w*w**(1\/2))\/w*w\/w**(-3) assuming w is positive.\nAnswer: w**(1969\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-2)\/(-2))\/(1\/27). Let p = 21 - m. Let f be 84006\/15 + p\/15. Round f to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -26*s**2\/5 - 8*s\/5.\nAnswer: -2*s*(13*s + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 3*r + 4*r - 3*r. Let j(v) = 109*v - 54*v - 54*v. Calculate s(j(y)).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -64, -115, -200, -325, -496, -719?\nAnswer: -1000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/22009, -22, -3, 0, -2, 1 in descending order.\nAnswer: 1, 2\/22009, 0, -2, -3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2345*b**5 + 3392*b**2 wrt b?\nAnswer: -140700*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 16405, 16623, 16841?\n\"Answer: 218*c + 16187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 8 = z, -2*z - 7 + 0 = -5*v. Suppose -2*r = -v - 3. What is the remainder when 14\/(-2)*2*-1 is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 15*f**2*l**3*s*w**3 - 9*f**2*l*s**3*w**2 - 2*f**2*l*w - f*l**3*s*w**2 + f*l*s*w**2 + 20*l**3*s**3*w**3 wrt w.\nAnswer: 90*f**2*l**3*s + 120*l**3*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -bbbc4d (base 14) in base 5?\nAnswer: -3112334440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 3, n: 13}. Give prob of sequence nccc.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 50012 + 35?\nAnswer: 50051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/(-28)*3*(-84)\/(-24)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - (-3 - -1 - -5 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1061*x - 8145 - 5*x**4 - 11*x**4 + 2104*x - 13*x**2 - 1043*x wrt x.\nAnswer: -64*x**3 - 26*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 + 5 + 4)*(0*d**3 + 2*d**3 - 4*d**3) + 0*d**3 + 2*d**3 + 2*d**3 + (-d + 0*d + 3*d)*(d + d**2 - d) - 6*d**3 + d**3 + 3*d**3.\nAnswer: -28*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 2113*i - 220. Let u be m(8). Suppose 14*p - u - 1530 = 0. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -3 + (0 + 3)*1. Let s be 1\/4*(1 + y). Which is smaller: -2\/9 or s?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23 = 5*u - 8. Let w = -1 - u. Determine c so that -2*c**4 - 2 - 3*c**2 + 3 + 3*c**4 + c**w = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -4 - (2\/(-4))\/(2\/4). Is 40 a factor of (-7 - x)\/(4 + (-706)\/176)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in -5, -2, 5, 0.169775, -1?\nAnswer: 0.169775","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4249151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 divided by 1287?\nAnswer: -10\/1287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*x**4 + 56*x**2 - 2*x - 1 + 67*x**2 + 2*x**3 - 126*x**2 in the form v*x**4 + a*x**3 + s*x**2 + z*x + q and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 100 - 22*y + 14*y - 18*y + 46*y - 17*y.\nAnswer: 3*y + 100","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 111583 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 19*p + 290. What is h(-17)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 561*f - 33. Let p(n) = 35*n - 2. Let v(d) = -2*i(d) + 33*p(d). Is v(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7733.3 bigger than -3\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q = 4*b - 4, -4*b - 4*q = -q - 12. Suppose 0*n = -3*n + b. What is the remainder when n is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -b**2 + 7*b - 3. Let u be k(6). Let c(i) = 2*i**2 + 4*i - 4. Let v(j) = -2*j**2 - 3*j + 3. What is u*c(m) + 4*v(m)?\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -104*f**3 + 5*f**2 + 5*f. Let r(c) = 935*c**3 - 44*c**2 - 44*c. What is -44*l(b) - 5*r(b)?\nAnswer: -99*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the third derivative of 0 - 19\/6*s**4 - 1\/3*s**3 - 76*s**2 - 1\/3*s**5 + 0*s. Find the second derivative of g(m) wrt m.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 609 minutes after 4:55 PM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-12)\/(0 - -3)*-2. Let r = 18 + -6. Let m = b - r. Put 2, m, -5 in decreasing order.\nAnswer: 2, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -302 + 461. Let h = -87 + f. Is h a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -2*d. Let c(o) = -7*o + 10*o - 4*o - 3*o. Calculate c(t(f)).\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) be the first derivative of w**5\/60 + w**4\/12 - w**3 + 1. Let d(t) be the third derivative of u(t). Suppose 2*v + 8 = -2*v. Calculate d(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(1\/2)\/g*g\/g**(-3))\/((g**(-6\/7)*g)\/(g*g**(-1\/5)\/g*g)) assuming g is positive.\nAnswer: g**(291\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 32 and 17228?\nAnswer: 137824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1.5 + 3.3. Let j = 9.3 - d. Let b = 7 - j. What is the smallest value in b, -1\/7, 4\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1495591001 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -43 + 43.2. Put x, -0.2, -5, 3 in descending order.\nAnswer: 3, x, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -54, -108, -164, -222, -282, -344, -408?\n\"Answer: -g**2 - 51*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 16.10927l to millilitres.\nAnswer: 16109.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 37\/14 and 7\/16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 708 and 204140?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Total of -5 and -40361441.\nAnswer: -40361446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/2 of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 9c888 (base 15) in base 16?\nAnswer: 79985","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Do 29\/51588 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10 + 5513*j - 8 + 19264*j + 15.\nAnswer: 24777*j - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0001974 to five decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (3\/(-3) - -1)\/(-2). Suppose 2*y - w - 33 = n, 3*w = -3*y + 2*w + 47. Suppose -h - h + y = 0. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 36824?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1536 = -0*g + 4*g - 4*f, 3*f + 3 = 0. Suppose -6*o - 149 = -g. What are the prime factors of o?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -31 - -55. Let m be (-1)\/(-3)*(-2706)\/(-88) - 2\/8. Let f be m\/o - (-3)\/12. What is the third smallest value in -1\/5, 3\/5, 4\/7, f?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 2*v. Let l(s) = 63*s. Let j(w) = -15*h(w) + l(w). Let o(r) = 2*r. Calculate o(j(x)).\nAnswer: 66*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 82920 rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1165 + 351 - 1553*x**3 + 2034 + 4271 wrt x?\nAnswer: -4659*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 4\/(-2 + 0 + 4). Let d(g) be the second derivative of -1\/6*g**4 + g**3 + 3*g - 2*g**a + 0. Factor d(t).\nAnswer: -2*(t - 2)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u*u*u**(-2\/7)*u)**(-4\/3)*(u*u**13)\/(u**(1\/11)*u*u*u) assuming u is positive.\nAnswer: u**(1376\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 4*x - 1 = 0, -58*h + 3*x = -54*h - 43. Solve 3*n + 20 = -4*m, -h - 3 = 2*m - 4*n for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l**5 - l**4 - 189*l**3 - 1247*l**2 - 2692*l - 1632 = 0. Calculate l.\nAnswer: -8, -4, -3, -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 178*d + 12 = 182*d. Suppose -5*x + 5 = 6*i - i, 5*x + i = 1. Put -3, d, 4, x in increasing order.\nAnswer: -3, x, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 44008 and 352.\nAnswer: 1936352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*c**3 + 2*c**2 + 2*c**3 - 2 + 0 - 4*c + 0*c**2 as b + j*c**2 + l*c + t*c**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (87*b**3 - 84*b**3 - 2 + 3*b + 4*b)*(0*b + 0*b - b**2).\nAnswer: -3*b**5 - 7*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 594 + -598. Let b be r\/8*(6 - 7). Factor -1\/2*d**5 + 0*d**2 + 0*d - b*d**4 + 0 + 0*d**3.\nAnswer: -d**4*(d + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -76852, -1, 4.\nAnswer: -76852, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 33031893599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 15499498 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 29\/63 and -67\/582092.\nAnswer: 5238828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 25.2 + -17. Let g = z - 7. Do g and -1\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 68531867 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 23\/36 and 5 + -7 + 76\/30.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1\/6, -0.4, -0.03983, -2\/9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 810541261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 28 + -17. Suppose -4*t + 7 = -13. Suppose r + t*o = 124, 4*r + 5*o - 406 = 3*o. Calculate the greatest common divisor of r and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 0.1, -4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = d + 2*p + 5, -23*d - 44 = 2*p + 14 + 277 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -91594, -92430, -93266, -94102?\n\"Answer: -836*d - 90758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -t**3 - 6*t**2 + t + 9. What is v(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 14 = -4*o + 103, 0 = -j + 5. What is the highest common factor of o and 231?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -c (base 16) in base 14?\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 226, 1, 0.\nAnswer: 0, 1, 226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:13 AM and 3:43 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 10.39 rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 10310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -12 + 12. Let w be (2\/3)\/((-17)\/3). What is the nearest to t in -4, w, 0.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36 a factor of 212462136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4215 + -4183. What is the remainder when 40 is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 264222 is divided by 169?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*m - 30*m - 15629 - 9603 = 0. Is m a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3*12*34\/102. Let p be (-2*(-3)\/m)\/(5\/10). Which is the closest to 0?  (a) -4  (b) 2  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 6 = -10. Suppose -i*j + 66 = 16. Let c be -3*(3 + j\/(-3)). Solve -4*r - c = -4*w - w, 0 = 3*r - w + 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 4, -2, -0.2, -245?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -743, -1642, -2541?\n\"Answer: -899*t + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put together -1 and 46552971.\nAnswer: 46552970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 351856747 to the power of 1\/3, to the nearest integer?\nAnswer: 706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 12 + 25 - 44 + 7 - 242*j to n*j + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) be the first derivative of w**5\/120 - w**4\/3 + 4*w**3\/3 + 4. Let o(u) be the third derivative of s(u). What is the units digit of o(12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -131\/130 and 55\/1937.\nAnswer: 19370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -18 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12147185 is divided by 1369?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2146*f*o**2 - 11*f*o - 31*f - 3*o**2 - 26 wrt o?\nAnswer: 4292*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 5339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*c - 2*i + 12, 0 = -120*i + 122*i for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -142 + 291. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 395568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-25)\/(-10))\/(6\/(-12))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -67\/116849670 and 74\/25347.\nAnswer: 116849670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 482357519 to the power of 1\/2, to the nearest integer?\nAnswer: 21963","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 65717 - 2*x - 65717 + 2*x - 2*x**2. Let n(z) = -1 + 4 - 1 - 48*z**2. Determine y(n(s)).\nAnswer: -4608*s**4 + 384*s**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*t**2 + 4*t**2 - 5*t**2)*(-3*t**3 - t**3 + 2*t**3) + 2*t**5 + 3*t**5 + t**5.\nAnswer: 8*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -13 - -11. What is the closest to i in -0.8, -3\/2, 0?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 31 divide 584071?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 2*l + 770 + 664 = 0, l - 727 = -2*b. Suppose 454 = -3*z - 143. Let j = z + b. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/6, 11\/5, -194 in decreasing order.\nAnswer: 11\/5, -1\/6, -194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*a**2*i**2*n - a**2*i**2 + 3*a**2*i + 4*a**2*n - 4*a*i*n - 15*a*i + 47*a + 4*i**2 + i*n wrt a.\nAnswer: -4*i**2*n - 2*i**2 + 6*i + 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 + 5)*(-4*l**2 - 2*l**2 + 3*l**2).\nAnswer: -12*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 10) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*t**2 - 819*t + 64 - 281*t + 12*t**2.\nAnswer: 4*t**2 - 1100*t + 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 70 or 70795\/997?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 1162*y - 472. What is the units digit of a(33)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 2 z when three letters picked without replacement from auryzzzazzazazuzzuza.\nAnswer: 9\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4.045 - -0.055. Let z = -4 + c. Which is greater: z or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 163685?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the second derivative of 1\/20*t**5 + 0 + 1\/6*t**3 + 2*t**2 - 3*t - 1\/4*t**4. Suppose 0 = -2*v - 3*v + 15. What is a(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor o**3 - 789*o**2\/4 - 595*o\/4 + 99\/2.\nAnswer: (o - 198)*(o + 1)*(4*o - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.18 and -827.58.\nAnswer: -827.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 212439 is divided by 3623?\nAnswer: 2305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2657\/4, 59, -52\/7?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that 2*a**4\/15 - 128*a**3\/15 - 2*a**2\/15 + 128*a\/15 = 0.\nAnswer: -1, 0, 1, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1\/7  (b) 4  (c) -1  (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 19 = 9. Let u = c + -4. Solve 0 = p + u - 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 109520 times -105?\nAnswer: -11499600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a tonne in kilograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 124 and 17856.\nAnswer: 17856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - 30206.\nAnswer: -30209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n + 2 = -3. Calculate the smallest common multiple of 5 and (-2)\/(-1*n\/(-6)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c = -u - 11, 38 = -14*u - 2392*c + 2394*c for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 34, 2\/11, 4, 0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*n**2 + 63*n + 0*n**2 - 63*n.\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -469*l - 507127 = -486*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 0  (b) 25  (c) -3\/7  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 7866806, 7866814, 7866826, 7866842, 7866862, 7866886, 7866914?\n\"Answer: 2*z**2 + 2*z + 7866802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3605 in 2, 4, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*b**3 + 2*b**3 + 2*b**3 + (521 - 35*b - 521)*(b**2 - 1 + 1) to t*b**2 + f + w*b + v*b**3 and give v.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 7*i**3 - 227*i**2 - 454*i - 241. Let y(n) = -8*n**3 + 228*n**2 + 452*n + 244. Let d(x) = -4*u(x) - 3*y(x). Factor d(h).\nAnswer: -4*(h - 58)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in seven halves of a week?\nAnswer: 35280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 185 + -547. Let f = -213 - z. What are the prime factors of f?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 4 + 5)*(6 - i + 8 - 27).\nAnswer: -i - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 3) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 39422, 78821, 118194, 157541, 196862, 236157, 275426?\nAnswer: 314669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:05 PM and 11:37 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 - -4.056939?\nAnswer: 3.556939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*q - 3393*q**3 + 9003*q**2 + 1636*q**3 - 9001*q**2 as s*q**2 + a*q**3 + n*q + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1029.36 + -0.36. Let q = -1020.22 + y. What is q rounded to 0 decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 17*c**2 + 21*c**2 + 8*c**2 to the form q*c + i*c**2 + b and give i.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 530 is divided by 53?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 35 = 23. Which is the second biggest value?  (a) m  (b) 1.2  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 + 10 = -3*k. Let u be (k\/(-3))\/(-1) - 333\/27. Is (-2)\/(-6) + (-1040)\/u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = l - 2*i + 6*i - 4, 4*i = -3*l - 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -23 + 11 + p - 7*p**3 + 12 wrt p?\nAnswer: -42*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 260, 334, 5 in descending order.\nAnswer: 334, 260, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = h**3 - 7*h**2 - h + 8. Let n be m(7). Which is greater: -1\/8 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 4*a**3 - 54*a**2 - 2. Let z(n) = -n**3 + 1. Calculate w(t) + 2*z(t).\nAnswer: 2*t**3 - 54*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-2)\/(-8))\/(1\/3). Which is the second smallest value?  (a) m  (b) -2\/3  (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/((b*b**(-2\/49)*b*b)\/b)*b)\/(b**(-10)\/b))**(-1\/53)\/((b\/(b*b**(2\/7)*b*b))**(-17\/3))**(-2\/105) assuming b is positive.\nAnswer: b**(641\/16695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*g - 14 = 4*g + 4*f, 8 = 4*g + 2*f. Let t be (g - 3)*(-3)\/6. Suppose t = -44*o + 46*o - 34. What is the remainder when 33 is divided by o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 35 times 157361\nAnswer: 5507635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 3, a: 5}. What is prob of picking 3 a and 1 p?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 110*j**5 + 22220*j**4 + j**3 - 40124328*j wrt j.\nAnswer: 2200*j**3 + 266640*j**2 + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + 3*r - 36 = 0, -293 + 253 = -5*o - r. Let x(d) = -2*d**3 + 5*d**2 - 8*d + 4. Let f(s) = 3*s**3 - 9*s**2 + 15*s - 7. Determine o*x(q) + 4*f(q).\nAnswer: -2*q**3 - q**2 + 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = h**3 + 18*h**2 + 12*h - 1. Give b(-17).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 2 + 7)*(-4 + 4 - 3)*(-15*i - 19*i + 62*i).\nAnswer: -168*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 14421963 and 6792.\nAnswer: 849","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:48 PM and 11:00 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 31496?\nAnswer: 2, 31, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -g**3 - g + 1. Let w(f) = 4*f**3 + f**2 + 8*f - 5. What is -5*t(z) - w(z)?\nAnswer: z**3 - z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from znr. Give prob of picking 1 r and 1 n.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) be the third derivative of i**5\/4 + i**4\/6 + 4*i**3\/3 - 5*i**2. Let o be j(-5). Suppose 67 - o = -4*w. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*i**4 + 1057*i**2 - 13 + 67*i + 5*i**4 - 492*i**2 - 4*i**4 wrt i?\nAnswer: -24*i**2 + 1130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(-15)*p\/((p\/(p\/(((p**(-24)*p*p)\/p)\/p)*p))\/p)*p**34\/p**(1\/43) assuming p is positive.\nAnswer: p**(1977\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13152 + 25821 = -1285*q - 31021 for q.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -32 (base 4) in base 10?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -14 - -14. Suppose -d + 6*d - 40 = x. Calculate the smallest common multiple of 20 and d.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1110011010011101010 (base 2) to base 11.\nAnswer: 2a2932","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -z**3 - 16*z**2 + 18*z + 17. Let g be m(-17). Factor 0*w - 3\/2*w**3 + g - 3\/4*w**4 - 3\/4*w**2.\nAnswer: -3*w**2*(w + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -9838*j**2 + 44*j - 30?\nAnswer: -19676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*g - 2*g + 0*g**3 - 20*g**3.\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -222584 - -657640. Suppose -139256 = -6*w - z. What is w rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 64.49074 litres to millilitres.\nAnswer: 64490.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = h**3 + 6*h**2 + 3*h + 6. Let t(u) = 2*u - 1. Let s be t(-2). Let a be c(s). Suppose 0*d = -2*d + a. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26635508 is divided by 414?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 3 + 0)*(-5084*y + 3702*y + 636*y - 7108*y - 8093*y)*(-1 + 3 - 1) in the form c + j*y and give j.\nAnswer: 31894","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.000006 + 0. Round c to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y**3 - 177856*y**2 - 9779161*y - 18846906 = 0. What is y?\nAnswer: -177801, -53, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -18861427 (base 9) to base 6\nAnswer: -540344341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 12582 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:03 PM and 5:45 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 401, 1, -250 in ascending order.\nAnswer: -250, -5, 1, 401","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 42822 is divided by 3858.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h**2 - 2*h - 4. Let l be z(5). Suppose 1747*f - 2999 - 1227 = -376*f + 20. Solve l = -9*s + f for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -18703 divided by -3\nAnswer: 18703\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -3325143, -6650337, -9975587, -13300893, -16626255, -19951673?\n\"Answer: -28*g**2 - 3325110*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i - m - 11 = 0, 0 = 4*i + 5*m - 2*m + 1. Calculate the remainder when 163 is divided by 18\/i*30\/(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = -5*b + 18 + 66, -3*b - 2*i = -50. Let a(g) = b - g - 7 - g. Let p be a(4). Solve 1 = p*l - 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -39 and -0.3.\nAnswer: 11.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 1, r: 3, q: 1, o: 2}. What is prob of sequence hqro?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 72.9942 - 73. Round h to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 491 minutes after 9:08 AM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.3 in -8, -5, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fgcfhocg. Give prob of picking 1 o, 1 g, and 1 f.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + (8 - (9 - 4)) + 12 + -2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Solve 7*m = 45*m + 152 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -220 not equal to -220?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13\/14 - ((-5)\/35)\/((-26)\/182).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s - 2*y - 23 = -6*s, 4*s + 2*y = 26. Put 5, -5, s in decreasing order.\nAnswer: s, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 divided by -164?\nAnswer: 13\/164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) be the third derivative of -s**6\/120 + s**5\/60 - s**4\/24 - s**2. Let c be x(0). Suppose 2*t - 18 + 6 = c. Is t a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*y - 2*y - 2*y)*(13*y**2 - 10*y**2 - 14*y**2 + (y + 0*y + y)*(-6*y + 2*y + 0*y) + y + 2*y**2 - y).\nAnswer: -34*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 25*d*m**3 - m**3 + 12*m wrt d?\nAnswer: 25*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 2*y - 15. Suppose -d = -0*d + u - 15, -18 = -d - 2*u. Let c be i(d). Suppose c*r = r + 744. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 111900 is divided by 1693?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 479 + -212. Suppose 3*p + 105 - i = 0. What is the least common multiple of p and 10?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 48 = 5*a, 3*f - 5*f + 32 = -5*a. Suppose 32*j - f = 24*j. Let c = 13 + 1. What is the highest common factor of c and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-10)\/18)\/(130\/(-52))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 585\/4 + 139\/8*d + 1\/8*d**2.\nAnswer: (d + 9)*(d + 130)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*b**3 + 5768*b**2 - 11692*b - 202160.\nAnswer: 4*(b - 7)*(b + 5)*(b + 1444)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jrxadjv. What is prob of sequence xv?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -73.99961 + 74. Round c to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 111 - 110. Put 3, -0.3, r in increasing order.\nAnswer: -0.3, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 264 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = 2*b + 3 + 5, 0 = -2*g - 3*b + 2. Let z be (-94)\/(-10) + g\/(-10). Let a be 1 - (1\/1 - z). Solve i + 2*i - a = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1920*g**2 + 11 + 5*g**2 - 11.\nAnswer: 1925*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 2*z - 2. Let p(l) = 1. Let j(a) = -2*a + 4. Let m(c) = 2*j(c) - 4*p(c). Give -4*m(f) - 7*w(f).\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 1, h: 4, b: 2, i: 3}. What is prob of sequence iih?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -0.02029 times -87596\nAnswer: 1777.32284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4\/5 + -3\/10. Let d = 1.23 - 0.13. Let f = d + -1. Which is the closest to m?  (a) 4  (b) f  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 165748448 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: What is the units digit of 69716?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1003920 a multiple of 534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -135 + 171 = 6*i - 0*i. Sort 5, i, -4, 22 in descending order.\nAnswer: 22, i, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = 54*z - 1. Let g(m) = 27*m. Let u(v) = 5*g(v) - 3*t(v). Let r be u(1). Let f be (3\/(-13))\/(r\/16). Which is the nearest to 2?  (a) f  (b) 2\/3  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -2\/99275 and -7\/66253.\nAnswer: 31470175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*d + 20*d = 72 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 57.40293 + -0.02293. What is o rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 6.89 + 33.59. Let u = 54.552 - a. Let t = u - 14. What is t rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 25 divided by -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 1a (base 15) to base 11\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Are 1.04 and 27 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5015 - 6630 = 95*c for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*v**5 - v**4 + 834*v**3 - 2*v - 6152 wrt v?\nAnswer: 40*v**3 - 12*v**2 + 5004*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a = -4*s - 10, -s + 7*a - 10 = 3*a for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 58b5 (base 13) in base 5?\nAnswer: 344420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 73657896?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -134*w + 133*w = -20. Let k(i) = 57*i + 73. Is k(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3155563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 - -12 - (7 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = w. Let b be g(2). Suppose b*m - 5 = 7. Factor m*d + 2*d**2 + 2*d - 4 - 4*d**2 - d**2.\nAnswer: -(d - 2)*(3*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -12*h**3 + 5*h**2 + 5*h + 6. Let o(p) = -6*p**3 + 3*p**2 + 3*p + 3. Let n(b) = -5*o(b) + 3*s(b). What is the first derivative of n(i) wrt i?\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 69394 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -42 + (-2 - 2) - (-75)\/25. Is m at least as big as -291\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 2*z + 1. Let b(k) = k**2 + 1. Let n(s) be the second derivative of s**4\/3 + s**3\/3 + 2*s**2 + s. Give z*n(v) + 5*b(v).\nAnswer: v**2 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 549 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 4, k: 2, t: 2, h: 3, x: 1}. What is prob of sequence kt?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 104 minutes before 10:23 AM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 260986072 and 10.\nAnswer: 1304930360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (20\/75)\/(4\/30).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 = j, -7*p - 3*j - 9 = -10*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 22, 9, -6, -1130 in ascending order.\nAnswer: -1130, -6, 9, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4 + 0 - 1) + -5 + 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-18)\/(-15)*(-70)\/(-3). Suppose 30*m - 4 = r*m. Suppose -2*n + 215 = 5*u + 3*n, 106 = m*u - 2*n. What is the greatest common divisor of 12 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 68 * 65.\nAnswer: 4420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5 - 9. Let r be 0 - (-2 - l\/4). Which is the closest to r?  (a) -1  (b) -2  (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) be the third derivative of 0 + 9*o**2 + 1\/6*o**3 - 1\/4*o**4 - 2*o. Determine s(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -766.5 + -13.5. Let d = 775 + r. Which is the closest to 0?  (a) d  (b) 4  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 735350 to the nearest 10000.\nAnswer: 740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*t**5 + 2*t**5 - 2*t**5)*(-3 + 1 + 3 + (4 - 2 - 1)*(-109 + 16 - 22)).\nAnswer: -342*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1879 is divided by 25.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -21 - -302132340?\nAnswer: 302132314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out 46 + -0.202.\nAnswer: 45.798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 90*i**3 - 42*i**2 + 10*i + 4. Let y(k) = 137*k**3 - 62*k**2 + 14*k + 6. Give 5*y(g) - 7*z(g).\nAnswer: 55*g**3 - 16*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z*z**(-2\/45)*z**(2\/5)*((z*z\/z**5*z)\/z)**13 assuming z is positive.\nAnswer: z**(-1694\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -11\/22248 and 1\/14832.\nAnswer: 44496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2286779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -2*x**2 - x - 2. Let a = -13 - -24. Let d be 12\/9 + 1\/(-3). Suppose 0 = -5*i + d - a. What is u(i)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1704 + 4437. Which is greater: 0.1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -7 in -1\/4, 0.2, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -118 by 1324506.\nAnswer: -59\/662253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -2 - 76\/(-12) - 3 - 1. Let f be 1 + 1*-1 - -3. What is the nearest to 2\/7 in r, f, -0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 67*x = 68*x + 4*v - 17, -v + 5 = x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -38 by -19.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 1850*c + 1365. Let q(z) = -115*z - 84. Let a(s) = -65*q(s) - 4*y(s). Let v(i) be the second derivative of i**4\/6 + 3*i. Give a(v(l)).\nAnswer: 150*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, -1, 1, -43, 2, 4.\nAnswer: -43, -1, 1, 2, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 16*f**2 + 24*f + 308. Let i(c) = 30*c**2 + 44*c + 615. Give 6*i(q) - 11*s(q).\nAnswer: 4*q**2 + 302","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -11517, 1\/3, 0, 3\/5, 66\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 22 + 1 = -3*s, -3*s + 21 = 5*x. Find the first derivative of -32 - s - 21 - 17 - 29*m**4 wrt m.\nAnswer: -116*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 305 divide 15555?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 273009\/46 + -5936. Let y = -468947\/1460 - -729\/292. Let j = y - -311. Calculate the common denominator of q and j.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4719887 is divided by 620?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p**5)\/p*p*p*(p*(p\/(p\/((p\/(p**2\/p)*p)\/p)))\/p)\/p)\/(p**(-5)*p\/(p\/(p*p\/p**(-1))*p)) assuming p is positive.\nAnswer: p**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.34092 years to centuries.\nAnswer: 0.0434092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 10*i**2 + 2565*i - 12938. Give o(5).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 5050057986?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(136)\/(sqrt(88)\/(3*sqrt(11))))**2.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x + 130 = -123*p + 125*p, 0 = 9*x + 360 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 14830000 rounded to the nearest 100000?\nAnswer: 14800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -658*x**2 + 85*x**2 - 382*x**2 - 221*x**2.\nAnswer: -1176*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -1294 to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eu when two letters picked without replacement from {u: 2, e: 1, q: 1, v: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (4\/(-6))\/((-1)\/(-3)). Let k be (o\/(-135))\/(4\/20). Let b = k - -73\/108. Sort b, 1\/2, -0.5.\nAnswer: -0.5, 1\/2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 157?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -93629, -93598, -93567, -93536?\n\"Answer: 31*d - 93660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -263, -511, -741, -953, -1147, -1323?\nAnswer: -1481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -152?  (a) 0.3  (b) -30  (c) -232\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 8, u: 5}. Give prob of sequence ui.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 290 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (t + 2*t - 5*t)*(-2 + 1 + 2).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 66*o**2 - 2*o + 1. Let j be x(1). Let c = 92 - 28. Let u = -51 + c. Calculate the greatest common divisor of u and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2 + -1)\/(2\/(-6)). Suppose 0 = 5*f + 3*n - 5*n + 3, -f - 3 = 2*n. Let y be (0 - (-9)\/(-1))*f. What is the highest common factor of y and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-20 - -9) + 5 + -10 + 0 + 30.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 64439004.\nAnswer: 2, 3, 7, 767131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 499764339?\nAnswer: 3, 353, 157307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.798828 centuries to millennia.\nAnswer: 0.5798828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (3 - (4 + 4))*(-7356)\/20.\nAnswer: 3, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 402 is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -11*n**2 - 10*n**2 + 9*n**2 - 16*n**2 to the form m*n + u + k*n**2 and give k.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 17\/2 of a centimeter?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -7 - 1 - (73 - 79). What is the closest to 2 in 0, o, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -11*n**3 + 4*n**2 - 13*n - 9. Let c(u) = -5*u**3 + 2*u**2 - 6*u - 4. What is -4*b(r) + 9*c(r)?\nAnswer: -r**3 + 2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 33018 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 11 + -9180872295\nAnswer: -9180872284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 3368.036 seconds in milliseconds?\nAnswer: 3368036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 91184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Do -0.1 and 1\/1775 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 9 - 8.8. Let m be (-15)\/10 - 3\/(-30). Let n = 19\/10 + m. Put n, z, 0 in increasing order.\nAnswer: 0, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -20*c + 734 - 994 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = 17*x - 12*x. Suppose 0 = -5*y - 4*z + 800 - 73, -2*y + x*z = -271. Calculate the greatest common divisor of y and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -340, -330, -330, -340, -360, -390, -430?\nAnswer: -480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -1\/5, 4, -0.07, -1\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42360020 = 4*f + 5*i, i = -f + 5*i - 10589984. What is f rounded to the nearest 100000?\nAnswer: -10600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 211439958?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-3 - (0 + -3))*33\/66. Let u = 1189817\/179 + -6647. Which is greater: l or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-15)\/(-20))\/1*12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10 + -10 + (4 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = n**3 + 8*n**2 - n + 19. Let t be o(-8). Suppose 2*y + 0*i - 15 = -3*i, -t = -4*y - 5*i. Solve -y*v + 4*z + 3 = 2*z, v = 2*z - 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 807185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 7, z: 6}. What is prob of picking 2 z?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 - 25 - 6)*(-3*v + 18*v + 7*v).\nAnswer: -528*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - 2*c = -8. Suppose -c*g = -6, 4*t + g - 50 = -3. Is t a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(1 + sqrt(162) + 2 - sqrt(162)))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2 - 0 - (-112 - -6). Let o = -75 + s. Calculate the remainder when o is divided by 24.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -241b + -9?\nAnswer: -2428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -74.73 + -3?\nAnswer: -77.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 21 - 19. Solve -3*c = -4*g - 31, -c = -3*g - o*c - 7 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2740 is divided by 95.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(32) + 0 + sqrt(32) + sqrt(2)*-1*-5)**2 + 1 - ((-2 + sqrt(128))**2 + (sqrt(12)\/(sqrt(42)\/sqrt(7)))**2).\nAnswer: 32*sqrt(2) + 205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 74627 - 11622. List the prime factors of s.\nAnswer: 5, 12601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -o**3 + 18*o**2 - 32*o - 4. Let q be x(16). Which is the closest to 12?  (a) -305  (b) q  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 519*h**3*z**2 + h**3*z - 8*h**2*z - 7*h wrt z?\nAnswer: 1038*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - (-5 + -1 + 7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = k**2 + 77*k - 494. What is the tens digit of z(52)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -63, 65, 467, 1281, 2645, 4697?\nAnswer: 7575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21 divided by 48.\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = y + 6. Let n be k(-5). Let d be n*(16 - (0 + 1)). Let j = -4 + d. Calculate the remainder when 32 is divided by j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -h. Let i(s) = -2*s - 9. Let g(f) = -i(f) + 3*u(f). Let d be g(8). What is the highest common factor of d and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b - 52 = -4*v, -3*v = -5*b - 31 - 8. Suppose 4*m + 67 = -v. Find the common denominator of 9\/7 and 4\/3*(-102)\/m.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 3 - 204015152?\nAnswer: -204015145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 72027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 727829.\nAnswer: 449, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*p**2 + 4*p**2 + 0*p**2)*(-5*p - p - p) - 2*p**3 + 4*p**3 + 3*p**3 + (-4*p - 3*p + 5*p)*(-2*p**2 + 1 - 1) to v*p**2 + a + z*p**3 + j*p and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/3?  (a) 0  (b) -61  (c) 0.03  (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -486 divided by 162?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/14*(392\/(-63))\/4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 59 divide 2\/(-3)*885\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.39657285 to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c + 31 = 5*w + 7, -3*w - 3*c = 0. Suppose 6*t = q + w*t - 16, 2*q + 3*t = -4. Does 3 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -5818202*h**5 + 1864268*h wrt h.\nAnswer: -116364040*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) be the third derivative of -s**6\/40 - 11*s**5\/10 - 21*s**4\/8 + 2*s**2 + 300*s. Factor z(k).\nAnswer: -3*k*(k + 1)*(k + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 70302651 to the nearest integer?\nAnswer: 8385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -y**2 - 6*y + 4. Let n be q(-6). Suppose 5 = 3*m - n. Solve -m*v = -3*w, 0 = -v - w - w + 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1.3 + 7.3. Let f = y + -11. What is the biggest value in f, -3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-3)\/(-17))\/(12\/(-8)). Which is the fourth biggest value?  (a) -1\/3  (b) 21\/2  (c) -2\/11  (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -10 + 7. Let s = 36\/11 + -277\/88. Which is the nearest to -2?  (a) p  (b) s  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -156 + 300. Which is smaller: 145 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2.65 in 3\/2, 1, 0.4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1700*j + 837*j + 865*j + 168*j**3.\nAnswer: 168*j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*q - 8*q + 24. Suppose 0 = -q*n + 27 - 7. Which is the nearest to -4?  (a) 0.1  (b) n  (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-l**2 + 4*l - 4*l + (-2*l - 5 + 5)*(-2 - l + 2) + (0*l + 3*l - l)*(-8646 + 8646 + 4813*l))*(-3 + 3 + 2*l) as y*l + a + t*l**2 + o*l**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -4\/3, 1, 39877 in increasing order.\nAnswer: -4\/3, 1, 39877","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -102*b*v**3 + 334*b*v - 128368*v**3 - 4907*v wrt v?\nAnswer: -612*b*v - 770208*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-249 - -251) + (-15 - (1 - 1))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-16)\/(-28) - 16\/(-168). Let d = 7 + -6. Put -15, d, h in decreasing order.\nAnswer: d, h, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 289*a**2*d + 339*a*d wrt a.\nAnswer: 578*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oxot when four letters picked without replacement from {l: 6, t: 3, y: 1, o: 5, x: 3, z: 2}?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 38386216 and 668232.\nAnswer: 345475944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 33404*w**3 - 28616*w**3 - 4800*w**3.\nAnswer: -12*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w = 5*o + 17, 4*w + o - 29 = 2*o. Calculate the least common multiple of w and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 21.578 + -4.578. Sort -4, n, -2\/3, -5, 2\/9.\nAnswer: -5, -4, -2\/3, 2\/9, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 35 + 4\/(-8)*14. 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 are the prime factors of 3\/13 - (-2301834)\/442?\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 5*x - 29 = 0, 2*x + 8 = 4. Let o = -18 + 71. Suppose -4*c + o = -147. Calculate the remainder when c is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = -3*c + 6, 4*c + 3*l - 13 = 3*c. What is the remainder when 5 is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(1\/6))**31 assuming k is positive.\nAnswer: k**(31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 7455 - 7407. Solve 187*m - 181*m + l = 0 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tttttttyttttt. What is prob of picking 4 t?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5016*a - 8821 = -20364 - 23569 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -h**2 - 6*h - 1. Let c be p(-5). Suppose -2*j + c*j + 6 = 0. Let z(m) = -6*m + 172. Let t be z(29). Put j, t, 0 in decreasing order.\nAnswer: 0, t, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.26391 + 0.2639053256. What is z rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -116 = -21*p + 241 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*r**4 + r**4 - 4*r + 8*r**3 - 6*r**3 to the form b*r + p*r**4 + z*r**3 + g + k*r**2 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sum -57.368 and 19.492397.\nAnswer: -37.875603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 796 = -4*y, 4*y + 623 = 3*m + 33. Let g(s) = -7*s - 188. Let a be g(-32). What is the greatest common factor of a and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-8 - -5) + -1 + 3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 95, 319, 699, 1235?\n\"Answer: 78*l**2 - 10*l + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*x**5\/19 + 6588*x**4\/19 + 5412008*x**3\/19 - 21786588*x**2\/19 - 27192010*x\/19 = 0. What is x?\nAnswer: -1649, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 684.9738 years to decades.\nAnswer: 68.49738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 65047 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand 446321*b**2 - 446321*b**2 - 675*b**3 + (-3*b - b**2 + 3*b)*(-5*b + 3*b + 0*b).\nAnswer: -673*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.47963 plus 3.3466?\nAnswer: 2.86697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 290 = 4*a - 3*c, -4*a + 5*c + 81 = -3*a. Let l(y) = 3*y + 6. What is the remainder when a is divided by l(4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -93 - 5*y + 156 - 79 to w + v*y and give w.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3314*c = 5422*c - 2475*c + 212874 for c.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = o**2 + 3*o + 4. Let t(f) = -11 - f**2 + 1 - 10*f + 0. Calculate the lowest common multiple of t(-8) and x(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*z = -25 + 366. Calculate the least common multiple of 46 and z.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-1))**(-3\/8) assuming b is positive.\nAnswer: b**(3\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 682 minutes before 4:52 PM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 307 divide 296860313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -25*j. Let s(i) = -235*i. Determine m(s(p)).\nAnswer: 5875*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + 5*s)*(-1 - 3 + 5)*(2*s**3 - s**3 - 2*s**3).\nAnswer: -5*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 4413 - 4?\nAnswer: 4404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 560 minutes after 9:26 PM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.08?  (a) 0.1  (b) 297219  (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 28797 and 5307.\nAnswer: 1756617","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 3.546267 months?\nAnswer: 0.0029552225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1419 = 58*n + 955 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*c**4 - 6*c**4 + c**4)*(-64*c + c - 4*c + (-1 + 4 - 1)*(-11*c + 7*c + 16*c)).\nAnswer: 129*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15355 is divided by 480.\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*3*(-10)\/120.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 64 take away 12913932991.98?\nAnswer: -12913932927.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8342 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -15\/203 and -5\/232.\nAnswer: 1624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 30\/11 and -37\/370756.\nAnswer: 4078316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) be the third derivative of -n**6\/120 - n**5\/10 - 7*n**4\/24 - 5*n**3\/6 - 2*n**2. Let l(q) = 11*q - 862. Let f be l(78). What is w(f)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -4\/3475 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -4*h + 2. Let v be i(5). Calculate the remainder when (-4)\/v + (-1655)\/(-45) is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(200) + (sqrt(200) - (sqrt(200)*1 + sqrt(200) - sqrt(200))))\/sqrt(10))\/(-2*sqrt(144) - sqrt(144)))**2 + 0 + -1.\nAnswer: -319\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/(c**(2\/5)*c*c))\/c)\/(c\/(c\/((c\/(c\/(c*c\/(c**(-1)*c)*c)*c)*c*c)\/c))*c)*(c**(2\/7)\/c)**(20\/3) assuming c is positive.\nAnswer: c**(-1172\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 3635.449*-0.5\nAnswer: -1817.7245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 34225?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2*b**2 - 2)*(-3*b + 0*b + b) + 26*b**3 - 98*b**2 + 6196*b - 6196*b.\nAnswer: 30*b**3 - 98*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*g + 11*g + 25 - 25.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3176201 is divided by 608.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 60*v - 31590 = 15*v. Calculate the highest common divisor of 594 and v.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -303*u + 306*u = 49911. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 17\/4 of a minute?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 4b6 + 3?\nAnswer: 4b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -9*v**2 + 3*v + 3. Let j(b) = 8*b**2 - 3*b - 2. Let k(y) = 3*j(y) + 2*o(y). What is the second derivative of k(u) wrt u?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 3  (b) 1\/3  (c) -0.12  (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**3\/4 + 5*h**2 - 899*h\/4 + 1935\/2.\nAnswer: (h - 18)*(h - 5)*(h + 43)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*a - 6712 = -24*a. Suppose -a - 368 = -11*k. Is k a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 933774 divided by -155629?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 19*r - 45046 - 42107. List the prime factors of r.\nAnswer: 3, 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 619372961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Let k = 15 - 1. Let g = 953 - 954. Put 4, g, k in decreasing order.\nAnswer: k, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 480*f**4 + 729*f**3 - 3164820 with respect to f.\nAnswer: 1920*f**3 + 2187*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h = 12*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a decade in months?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = h**3 - 2*h - 1. Suppose o = -o + 32. Suppose 0 = 5*l - g - 15, -3*g - g = 2*l + o. Calculate the least common multiple of t(2) and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 - ((-3 + -7 - 16) + 91)\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1.41 - 0.21. Let s = -1.2 + u. Let v = 3.4 + -3. What is the nearest to -1 in 2\/3, v, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 - 2 - 3*i**4 - 39*i - 1 + 24 - 20 in the form j*i + y*i**2 + m*i**3 + b*i**4 + t and give j.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 172 minutes before 7:11 PM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-55640)\/21)\/5 + 18\/(-189). Which is greater: -529 or f?\nAnswer: -529","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -n**3 + 11*n**2 - 22*n + 12. Let c be i(7). Suppose -c*l + 51*l = -6. Solve l*a - 18 = 8*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -226212 - -363799. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -2*t - 6. Is w(-11) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 357.1 - 357.12773. Round n to three dps.\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2  (b) 1\/3  (c) 0.4  (d) 8.3  (e) 0  (f) 0.0152\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 2*p**2 + 52*p - 100. List the prime factors of a(-50).\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 5.3 and -2565467661132.\nAnswer: -2565467661126.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 41 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 442 by 7.\nAnswer: 442\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 38 divide 546604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*(h*h*h*h**(1\/5)*h)\/h)**30\/(h**5*h)**34)**(-1\/13) assuming h is positive.\nAnswer: h**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 18 and 981.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) be the first derivative of 1\/2*d**2 - 13 + 12*d. Let h be r(-7). Solve 10*u - 5*u = h for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 83 + -1 + -43 + (124 - 95)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -14814*g**3 - 4*g**2 - 5*g - 2. Let i be (20 - 2)*(-4)\/6. Let d be (i\/10)\/((-1)\/5). Let v be q(d). What is v rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12336098239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = o + 9. Suppose 71*n + 292 = 75*n. Suppose -n = 6*x - 25. Give c(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 45 - (51 - (-36 + 13)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 6 + -2. Suppose 3*s = -2*s + 20. Solve 4*x = -s*z - 16 - 0, c*z = 3*x + 5 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 i when two letters picked without replacement from {p: 4, i: 1, n: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -13711, -27525, -41353, -55201, -69075, -82981, -96925?\nAnswer: -110913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(40)*-1)\/sqrt(8)*-2 + -5*(1 + sqrt(20)).\nAnswer: -8*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -135503142 by -6.\nAnswer: 22583857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -923, -1847, -2771, -3695?\n\"Answer: -924*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 10 = 0, -5*q + 13891 = 15*b - 17*b. What is the hundreds digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 9*g**3 - 27*g**2 + 2. Suppose 5 = -23*f + 28*f. Let d(m) = 1. Let t(p) = f*q(p) - 2*d(p). What is the third derivative of t(r) wrt r?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -6*v**3*z**4 + 8*v**3*z**2 - 3*v**2*z**2 - 2*v + 11*z**6 wrt z.\nAnswer: -144*v**3*z + 1320*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 18.3 + 117.7. Let y = m - 136. Let f = 0.04 + 0.08. Is y != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.117 + 0.117. Which is smaller: 0.142 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 414 + -182. Let r = 2307 - 2204. Let y = p - r. What are the prime factors of y?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 0.2, 0.5, -2\/23, 49, -2\/7, -2\/9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 35, -25, 38, 2.\nAnswer: -25, 2, 35, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ykn when three letters picked without replacement from {a: 3, k: 9, y: 1, g: 1, n: 2, c: 3}?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -38 + -26. Let w = 27 + a. Let g = 36.99999924 + w. Round g to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 22\/3*7575\/50. Suppose -11*z + 165 = -r. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 24289095 and 1110.\nAnswer: 1797393030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 560, 641, 722, 803?\n\"Answer: 81*n + 479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + 5 + ((sqrt(42)\/sqrt(6) - sqrt(7))*-2 + sqrt(7) - (sqrt(7) - (sqrt(49)*-2)\/sqrt(7)))**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-1)*(x**(-10)*x)\/x*x)\/((x**2*x)\/(x\/(x**1*x))) assuming x is positive.\nAnswer: x**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -22, 1\/7, -0.13, -2\/7.\nAnswer: -22, -2\/7, -0.13, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-3)\/30)\/1 - 11444\/(-40). What is the highest common factor of t and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from mffmiifm?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that -a**3 + 386*a**2 + 16836*a + 86904 = 0.\nAnswer: -34, -6, 426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 7 + 22 = d, 3*d + 9 = 0. Let g(p) = p**3 + 8*p**2 + 3*p + 5. Is g(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 3 + 5)*(-3 - 3 + 7)*(321*y - 16261 - 16260 + 32516).\nAnswer: 642*y - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10 + (-15)\/3 + -223*(-4)\/4 is divided by 66.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7*((-156)\/(-84))\/(-13)*-18?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l - 5*k - 26 + 2 = -0*k, -44 = 2*l + 10*k for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 84.2 - 82. Which is the nearest to g?  (a) 0.1  (b) 1  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t**2\/5 - 469948*t\/5 + 187976 = 0. What is t?\nAnswer: 2, 117485","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:05 AM and 4:38 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 894 (base 10) to base 9.\nAnswer: 1203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -51 + 32. Let o be 12\/16 + 125\/20. Suppose o*h = 4*h - 54. Which is bigger: d or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + u - 4)*(-3*u + 0*u - u + (3 - 3 + 2*u)*(5 - 1 - 2) + 3*u + 0*u - u - u + 2*u + 0*u + (-2 + 2*u + 2)*(0 + 0 + 2) + u - u + u + 3*u - u - 3*u).\nAnswer: 7*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 324.8 + -325. What is the closest to -1\/2 in f, 1, 5, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 142, 146, 152, 160, 170?\n\"Answer: o**2 + o + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b**3 - 15*b**2 - 17*b - 14. Give h(16).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 0*i - 104 = -4*l, i - 4*l = -40. Let f = 19.5 - 19.1. What is the nearest to i in 3, f, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*b = 41*b - 495*b + 60720. Calculate the remainder when 4275 is divided by b.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 412*3755.9.\nAnswer: 1547430.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -77*x = 5*x - 1148 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6191 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 210 = a. Let u = -104 - a. Solve -i - 3 = 2*b, 3*i + 2*i + u = 4*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -j**5\/3 - 672001*j**4 - 338691359992*j**3 - 7112419776028*j**2\/3 = 0. Calculate j.\nAnswer: -1007998, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 4*k**2 + 62*k - 28. Let x be o(-16). Differentiate 123 + 1010*h**3 + 1005*h**3 + 12*h**2 - 2015*h**3 + 3*h**x wrt h.\nAnswer: 12*h**3 + 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = o + 62. Let f be s(-10). Determine g, given that -9*g**5 - 4*g**4 + 15*g + 52*g**4 - 27*g - 79*g**3 + f*g**2 = 0.\nAnswer: 0, 2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/(-3))\/(11\/165) - -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -3364, -13050, -29194, -51796, -80856, -116374?\n\"Answer: -3229*g**2 + g - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 10, q: 2}. What is prob of sequence qnnn?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -5*i*k**4 + 16*i*k**3 - 1838*i*k**2 - i - 10368*k**3 + 254 wrt k.\nAnswer: -120*i*k + 96*i - 62208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2350928 is divided by 1437.\nAnswer: 1433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -3*i - 5*x, 5*i + 3 = 3*x - 8. Let k = -1.5 - -12.5. What is the nearest to i in 0.2, -1, k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 44\/15661 and 49\/1697.\nAnswer: 26576717","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 1\/14, 4977\/4, -3 in decreasing order.\nAnswer: 4977\/4, 1\/14, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 421 minutes before 4:38 PM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -39 - -63. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 6 - -9. Let v be (-2)\/3 + 40\/a. Let w(u) = 7*u - 2. Let m(o) = 6*o - 2. Let p(c) = -5*m(c) + 4*w(c). Give p(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*l + 107 - 28 = 64 + 63 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1677982241 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 286630259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/2, 8, -2\/9, 0.3, -5 in decreasing order.\nAnswer: 8, 1\/2, 0.3, -2\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 14292103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -72*q - 34*q = -530. Suppose -5*g - 1 = -26. Solve 5*f = 3*l - 0 + 3, 5*f = -g*l - q for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 7*m**3 + 6*m**2 - 11*m + 13. Is c(4) a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 56 is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5502 - 2354827\/428. Are 0 and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5705?\nAnswer: 5, 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1\/7, -5, 6\/55?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (10\/(-15))\/(2\/(-6)). Let m(q) = 1 - q**o + 4*q - 5 + 5. Let v be 20\/(-16)*(-5 - -1). Determine m(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4 - -8. Let j be ((-3)\/a)\/((-2)\/8). Let s be -3 + j - (-7 - -2). What is the greatest common divisor of s and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence av when two letters picked without replacement from vmvah.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 3 b when four letters picked without replacement from {b: 5, m: 14, j: 1}?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (24 + 8 - 26) + (-34 - -3).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1629600 is divided by 543197.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18 divided by -9825283.\nAnswer: -18\/9825283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 206\/10 + 90\/225. Let c = -6 - -12. What is the units digit of (c\/x)\/((-2)\/(-70))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 263 + -263. Let c be -2 - ((2 - 6) + u). Solve c*t + 6 = 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 17 + -14. What is the smallest common multiple of w and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k + 42*a = 38*a + 2, -5*k + 3*a + 18 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((sqrt(684)*-2 + 3)**2 - (2 + sqrt(684)*-1) - -3*2*(sqrt(684) + -1 + sqrt(684) + 0)**2).\nAnswer: -114990 + 1260*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -228 + 110 + 118 + m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - g**3 + 20*g - 20*g)*(-3*g - g + 3*g) - 5*g**4 + 5*g**4 - 2*g**4.\nAnswer: -g**4 - 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 68776, 137522, 206222, 274876, 343484, 412046?\n\"Answer: -23*x**2 + 68815*x - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -33039*x + 1957?\nAnswer: -33039","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 109630920 to the nearest integer?\nAnswer: 10470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.3 * 171104.\nAnswer: 51331.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 2*b - 206 = 0, 86*r + 4*b = 87*r - 92. Calculate the smallest common multiple of 6 and r.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iimg when four letters picked without replacement from gimgtgggiigtittt.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 89 = -57. Calculate the common denominator of ((-47)\/(-6) - -1) + -1 and (-2)\/h*2260\/30.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -212.24 rounded to 0 dps?\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -2*d**3 - 214*d**2 - 221*d - 841. Calculate the remainder when 216 is divided by a(-106).\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - 368 = -9*q. Calculate the remainder when q is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seven thirds of a week in hours?\nAnswer: 392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -5344 take away -3?\nAnswer: -5341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 13 + -9. Suppose -4*f + 5*f = z. Suppose 0 = -f*y - 5*q + 201, -3*y + 0*y + 146 = -q. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mjzzlvlmlvjs. Give prob of sequence sv.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 2*p**2 - 18*p - 32. Let c be o(15). Suppose 32 = -i + 4*w, c = -2*i - i - w. Let l = 307 + i. List the prime factors of l.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -44*g - 117. Let j be v(-4). What is the highest common factor of j and 5192?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (84\/(-33) - -2)*44\/(-66)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 420, -0.06, 0.2, 1\/9, -28\/9, 0?\nAnswer: 420","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m = 2*b - 6325, 11756 = 5*b + 2*m - 4046. Suppose 3*n - b = 71. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -135*m - 140*m - 1650 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -119 divided by -832.\nAnswer: 119\/832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 816737.\nAnswer: 59, 109, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 986 is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 322.7 + -321. What is r rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.684?  (a) 1075\/12  (b) 5  (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5146629.\nAnswer: 3, 59, 29077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-226)\/7 - 14\/(-49). Let g = 56 + x. Calculate the highest common factor of g and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 525 minutes after 1:50 PM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -2279 (base 15) to base 9\nAnswer: -11026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/(-39) - 666\/234?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4523687.448 rounded to the nearest one thousand?\nAnswer: 4524000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -w**2 + 87. Let l(m) = -109*m + 43. Calculate l(t(k)).\nAnswer: 109*k**2 - 9440","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 0*q = -16. Suppose -18 + 4 = -4*y - 2*f, q*f - 2 = 5*y. Suppose -l = -5*l + 8. Solve -y*w = 3*i + 10, -l*w - 2*w - 4 = 2*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wmwwwwwwmwmwwmmmwwm. Give prob of sequence mwm.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3498?\nAnswer: 2, 3, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -372662132*n**5 + 2*n**4 + 480439735*n wrt n.\nAnswer: -7453242640*n**3 + 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 67 minutes before 11:12 AM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 179*p**6 - 21*p**5*w + 4*p**2*w + 6*p**2 + 6*w wrt p?\nAnswer: 21480*p**3 - 1260*p**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3174532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 10741?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1117*x = 1112*x - 3*c + 7, 9 = -3*x - 4*c for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = 2*v, 4*a - 2*a = 5*v. Suppose -k = -a*k - 6. Let t(z) = z. Let c(x) = 4*x. Let r be ((-3 - -4)\/(-3))\/(5\/30). Give k*t(h) + r*c(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1 + 22332?\nAnswer: 22333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -v**2 + 23*v - 119. Let k be o(16). Let u(y) = 5*y - 18. Let i(j) = 6*j - 20. Let c(z) = k*u(z) + 6*i(z). What is c(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -60 - a405?\nAnswer: -a465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 14, -8, -2\/7 in decreasing order.\nAnswer: 14, -2\/7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1748918500 and 3500?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 48*p = -37*p + 340 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v - g = -30, -528*v = -533*v + 3*g - 30 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 21 = -4*l, l = -4*s + 23 + 16. Solve -2*g + s*g = -14 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 0\/1 + (7 - 5). Suppose 0 = -4*r + z*r. Let f = r - -2. Solve -l - f = -6 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -191 - -2801?\nAnswer: 2620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 5*p**3 - p**2 - 6*p + 8. Let f = -69 + 72. What is the tens digit of c(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -11, -6, -3, -8, -27?\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-1 + 1*sqrt(19) + sqrt(209)\/(sqrt(11) - -4*sqrt(11)) - (sqrt(2299) + (sqrt(2299) - 5*sqrt(2299)) + sqrt(19) + (sqrt(1900) + sqrt(19))*2))**2.\nAnswer: -224*sqrt(19)\/5 + 119218\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1123366, 2246726, 3370086?\nAnswer: 4493446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 3301359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find j such that 4*j**5 + 940*j**4 - 94088*j**3 - 24186712*j**2 + 48651908*j - 24372052 = 0.\nAnswer: -197, 1, 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -7*u + 3. Let w(z) = -13*z + 6. Let a(f) = 11*i(f) - 6*w(f). Let b(q) = 1. Let m(s) = -2*a(s) - 5*b(s). Calculate m(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5067583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 106577*c**2 - 36. Let j(y) = 9*y. Calculate o(j(w)).\nAnswer: 8632737*w**2 - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) be the third derivative of 1\/525*b**7 - 2\/75*b**5 + 0*b - 2 + 0*b**4 + 1\/100*b**6 + 0*b**3 - 34*b**2. Suppose l(k) = 0. What is k?\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -22 + 16. Let x be ((-16)\/d - 2)\/(2\/(-3)). Let p = 6 - 13\/2. Which is smaller: p or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -2*k. Let r(n) = -204*n**2 + 1931*n. Give p(r(l)).\nAnswer: 408*l**2 - 3862*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -730 - -732. Suppose 3*x + 3*m = 36, 3*x - 3*m + m - 41 = 0. Let l = 16 + -11. Solve -q - x = l*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 248  (b) 1\/5  (c) -5\/4  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 26*b**2 + 5*b + 6. Let r(t) = 76*t**2 + 14*t + 16. Determine -8*k(j) + 3*r(j).\nAnswer: 20*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(119)\/(4*(-2*sqrt(7) - sqrt(7)) - sqrt(7)) + (sqrt(68)*1 + 2)**2.\nAnswer: 103*sqrt(17)\/13 + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 4*o**2. Let c(i) = -i**2 - 4*i - 1. Let v(b) = -b + 5. Let t be v(9). Let g be c(t). Let m be f(g). Solve m*n - n = -9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 61828 and 585234.\nAnswer: 1066","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Convert -11202 (base 3) to base 15.\nAnswer: -88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2439975 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 7165483?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 3, -769 in decreasing order.\nAnswer: 3, -5, -769","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 - (-5 - ((-4 - 8) + 5)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 282788036?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3 - 2. Let n = 0.7 - f. Let t be -2*-2*2\/(-12). Which is the third smallest value?  (a) n  (b) t  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/11 in 0.5, -27, -9579?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -197040 divided by 20?\nAnswer: -9852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 423 divided by -105.\nAnswer: -141\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2849)\/28 + 2\/(-8). Let f = h + 107. Calculate the greatest common factor of f and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -7334.39 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -m**3 - 9*m**2 - 18*m - 78. Let d be b(-8). Solve 3*l - 2 = d*q, -4*l = -q - q - 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -f**2 - 9*f - 5. Let b be m(-3). Let n(z) = 13*z - 29*z + b*z. Let v(a) = 6*a**2. What is v(n(o))?\nAnswer: 54*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6514.\nAnswer: 2, 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 302 + 130013?\nAnswer: 130315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 36178500 is divided by 163.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 72*m**4 - 76*m**3 - 28*m**2 + 176*m. Let x(p) = -13*p**4 + 14*p**3 + 5*p**2 - 32*p. Let r(d) = 5*u(d) + 28*x(d). Find s such that r(s) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18712 (base 12) in base 11?\nAnswer: 24808","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from edcgl.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(11)*2 + sqrt(44)\/sqrt(4) + 1)**2.\nAnswer: 22*sqrt(11) + 1332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a millennium in decades?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 46757 or 46756?\nAnswer: 46756","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -474310, -474306, -474298, -474286, -474270, -474250, -474226?\n\"Answer: 2*q**2 - 2*q - 474310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 9*v - 52. Let h be n(6). Suppose 4*p - d - 7 = -h, -2*d - 10 = 4*p. Solve p = -3*m - 2*m - 15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1.5 + 2. What is the nearest to 0 in 0.4, -4\/5, t?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/(-7)*(7 + 8 - 1). Let n(t) be the third derivative of 0*t**3 + 0 + 1\/30*t**5 + 0*t + 1\/12*t**p + 2*t**2. Factor n(k).\nAnswer: 2*k*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -m**2 - 7*m + 10. Let u be w(-8). Let j(t) = -t**u + 35 + 4*t - 3*t - t. Is j(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -14\/27 and -1\/684?\nAnswer: 2052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (17\/((-119)\/(-25039)))\/1.\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -17*g**3 + 9*g**2 + 9. Let q(s) = -2*s**2 + 7*s. Let c be q(4). Let l(p) = 4*p**3 - 2*p**2 - 2. Determine c*n(x) - 18*l(x).\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 + 0*m - 1067*m**3 + m - 1 + 1232*m**3 - m**2 - 3*m in the form w*m + c*m**2 + i*m**3 + x and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -u - 3*l + 273, -5*u - 4*l + 790 + 608 = 0. Find the common denominator of 41 and 2\/(-4)*u\/27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (3 + (1*sqrt(102) - sqrt(102))\/sqrt(6))**2 + -2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jt when two letters picked without replacement from {j: 1, a: 2, d: 3, y: 3, t: 1}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*c + 22*c - 62*c**2 - 38*c.\nAnswer: -62*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 46.9771921 rounded to two decimal places?\nAnswer: 46.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -1679 times 0.02789?\nAnswer: -46.82731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6 - -4. Let s = 1 - -1. Let x = -5 + s. What is the closest to 0.1 in d, x, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y*y**(-1\/7)*y)\/y)\/(((y*y\/(y**(2\/11)*y))\/y*y)\/y))\/(y*y**10*y*((y\/((y\/(y*y**(3\/2)*y))\/y))\/y)\/y) assuming y is positive.\nAnswer: y**(-2073\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (275\/(-66))\/5*(-8)\/30?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 126317?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.01 and 68.\nAnswer: -0.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (-11 - 5 - 17)*(-3*z + 2*z + 3*z) + (5*z + 4*z - 7*z)*(3 + 3 - 5) in the form r*z + s and give r.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 1. Suppose -3*u = -13*u - 50. Let d(r) = -7*r - 5. Let k(m) = -4*m - 2. Let p(f) = u*k(f) + 3*d(f). Give -p(g) - 6*q(g).\nAnswer: g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 - 2*a)*(116 - 29 + 11 + 30).\nAnswer: -256*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 257561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 != -11\/2674?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -165*v - 3 = -162*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h - 20 = 4*w, -7*h + 12*h + 5 = -w for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*a - 26 - 242 = 32 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 38*u - 38*u - 2288*u**3.\nAnswer: -2288*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = q + 3*q - 4*f, -2*q + 3*f - 4 = 0. Let p(i) = -i**3 + 6*i**2 - 4*i + 6. Let v be p(q). Let w = 49 - v. Is w a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1339 is divided by 79?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -1851*-0.1\nAnswer: 185.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*j = -j + 13*f - 51, 2*f = -153 + 157 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1*(-25 - 9\/3). Let q = h + 30. Let d(y) = q*y**2 - 7 - y - 6*y + y. What is d(5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 479744?\nAnswer: 2, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -2*r**2 - 111*r + 5491. What is g(-87)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (4\/10)\/((-3)\/(-15)). Let u be 10\/3*3\/k. Solve u*g + 5 = -r - 4*r, 5*r + g = -9 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 16 = -m + o, 3*o - 12 = 0. Solve m*d = -0*d - 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) be the second derivative of -1311*z**3\/2 - 5939*z. Let d(j) = 3*j**2. Give a(d(q)).\nAnswer: -11799*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -641780390 divided by -128356078\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -410549 = 10935*j - 60629 for j.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6233*u = 316894 + 57086 for u.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 6*y. Let s(w) be the second derivative of -w**3\/2 + 76*w. Give s(t(u)).\nAnswer: -18*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 * -0.237793\nAnswer: -0.0951172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1)\/((-4)\/(-8)) + 2. Solve -4 = -v*i + i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3\/5  (b) -1  (c) 0.4  (d) 21\/8  (e) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (5\/(-12))\/(200075\/(-54360))?\nAnswer: 6\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -2*c. Let w(g) be the first derivative of 0*g**4 - 2\/3*g**3 + 1\/120*g**5 + 0*g + 1 + 0*g**2. Let j(z) be the third derivative of w(z). Give j(q(t)).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -51 - -57. Let p be 2\/1 - v*(-3)\/(-18). Let m(l) = 2*l - 1. Give m(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-d + 2 + 3*d - 3)*(d**2 - 1 + 1) + (2*d**2 + 0 + 0)*(2*d + 1 - 1).\nAnswer: 6*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*i**3 + 0 + 0)*(-i**2 - i**2 + 0*i**2) - 51*i**3 - 23*i**5 + 51*i**3.\nAnswer: -27*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 315 divided by 35.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 8495723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = -3*h + 249, 6*g - 10*g - 5*h = 323. Let x = 83 + g. Is -2\/539 less than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 5*j = 98, -3*j - 809 + 253 = -5*d. Let f = -556 - -594. Calculate the remainder when d is divided by f.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 3 + 1)*(i + 2*i - 2*i)*(-20*i**2 + 7*i**3 + 20*i**2).\nAnswer: -14*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -r**3 - 33*r**2 - 275*r - 20. What is p(-10)?\nAnswer: 430","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -16*t**2 + 11*t**2 + 3*t**2 - 2*t**3 + 4*t**4 + 6*t**2 as f*t**3 + h*t + d + q*t**4 + n*t**2 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -51, 4, 0 in descending order.\nAnswer: 4, 0, -5, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 23465042 to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = x + x - 12, -4*x + u = -22. What is the least common multiple of ((-1)\/1 - -2)\/1 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*u + 10*u + 12*u)*(-5*u**4 - u**4 - 4*u**4).\nAnswer: -220*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-2\/69)\/n**(-2\/9))**(21\/4) assuming n is positive.\nAnswer: n**(70\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 3ed7e1 (base 16) in base 5?\nAnswer: 2023242442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.2 and -326.\nAnswer: -65.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 20\/6 - 2\/6. Let f(n) = -3*n + 16. Let o be f(0). Suppose 0 = x + k*x - o. Calculate the remainder when 13 is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 99541.7um to millimeters.\nAnswer: 99.5417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 31 + -33 + (13 - -35) - (-6 - -5)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*1*(sqrt(612)*3 + 5 - -6*(sqrt(612) + 2))*-6)**2.\nAnswer: 66096*sqrt(17) + 1794996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -18 - -9. Let p(a) = -a + 4. What is the units digit of p(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1618617 a multiple of 1573?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 5*x - 1. Let a(t) = t**3 + 20*t**2 + 8*t - 1. Let l be a(-19). What is the remainder when (1 - (-25)\/(-10))*l\/(-6) is divided by g(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 11747895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 481 + -126. Let h = 3947469949 - 3947470304.0000147. Let n = u + h. Round n to six dps.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2 - ((-196)\/(-15))\/7. Sort -5, 1, i, 27 in increasing order.\nAnswer: -5, i, 1, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 95 divide 2375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1587698736 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -5a + -1?\nAnswer: -5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5932 - 2824*z - 581*z - 5932.\nAnswer: -3405*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 4*r**2. Suppose -19*j + 23*j = 104. Let h(m) = -j*m - 19*m - 21*m + 68*m. Determine t(h(z)).\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a millennium in years?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6*1738\/(-33)*38\/(-8664)*19.\nAnswer: 79\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 214622.\nAnswer: 2, 239, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -68*q = -25*q - 1355 - 666. What is the least common multiple of 43 and q?\nAnswer: 2021","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 6, -3\/8, 0.3, -14, 329\/656?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 4\/(-3)*(-31)\/(-62)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -148 + 115. Let l = u - -61. Let y(t) = 2*t - 1. Let w be y(2). Solve h - w*i - 24 = 2*i, -5*h + 2*i = -l for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 121914382 to the nearest integer?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k**(-3\/10))**36 assuming k is positive.\nAnswer: k**(126\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 4009*p**3 + 10*p**2 + 6*p - 7. Let y be i(1). What is the greatest common divisor of 656 and y?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -12 - -9. Let j be 3 - (y + 5)\/(-2). Find o, given that 2\/7*o**2 + 2\/7*o**j + 4\/7*o**3 + 0*o + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = 5*d + 1634, -24*u - 2682 = -29*u - 2*d. What is the hundreds digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 16.4 + -6.1. Let z = -14 + c. Round z to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -774554 by -2398.\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-4)\/6*9\/(-15). Factor -o*q**2 + 3\/5*q**3 + 0 + 0*q - 1\/5*q**4.\nAnswer: -q**2*(q - 2)*(q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2708*v + 3135*v - 1081*v.\nAnswer: 4762*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1288769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -b. Let l(v) be the third derivative of v**5\/30 - 3*v**2. Calculate l(r(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(288) + 5)**2 + sqrt(288) + sqrt(288) + sqrt(8)\/(sqrt(144)\/sqrt(4)) + (1*sqrt(18)*3 + sqrt(18))\/(sqrt(441)*4).\nAnswer: 3538*sqrt(2)\/21 + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (18\/8)\/(3\/400*5). Suppose k = 11*k - r. Let z(t) = 48*t + 38. Is z(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 3*w = 8, -w - 40 = -48. Solve 3*g = x*p, -3*g - 18 = 211*p - 209*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-4)\/(-180)*9)\/((-4)\/(-5)). Let j(b) be the second derivative of 0 + 2\/3*b**2 - a*b**5 - 1\/36*b**4 - 2*b + 2\/3*b**3. Factor j(s).\nAnswer: -(s - 1)*(3*s + 2)*(5*s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 3*t**2 - 2*t**2 - 5*t**2 + 0*t - t + 5 + t**3. Suppose -5 = -6*b + 19. Calculate r(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 34*h**3 + 2*h - 48*h**3 - 6*h + 422 + 6*h - 164*h**3 - 3*h**2 wrt h.\nAnswer: -1068*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 2959628.878 from 0.022.\nAnswer: -2959628.856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = p**3 - 6*p**2 - 5*p + 30. Let s be x(6). Suppose s*k + 3*k = 5*y - 20, 5*y + 5*k = 20. Calculate the least common multiple of y and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/10 in -9, -0.2, -1, 0.4, -1322?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1054, 2494, 3926, 5350, 6766, 8174?\nAnswer: 9574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -2*n. Suppose 7*p = -6 + 6. Let x(v) be the second derivative of 0*v**2 - 2*v + 0*v**3 - 1\/12*v**4 + p. Determine x(c(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 4203, 16370, 36641, 65010, 101471?\n\"Answer: -o**3 + 4058*o**2 + 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 6, q: 4, n: 4, v: 3}. What is prob of picking 1 n and 3 q?\nAnswer: 4\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6274 = 4*v + 3494. Let a = v - -19493\/8. What is the common denominator of 27\/11 and a?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 8221588 and 8221588.\nAnswer: 8221588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -143800 (base 12) to base 7\nAnswer: -2605515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -19 - (7 - (13 - (1 + 17)))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 92353, 369418, 831195, 1477684, 2308885, 3324798, 4525423?\n\"Answer: 92356*t**2 - 3*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 12 + -11. Let j = 1 + 4. Let l be 0\/q + (1565 - j). What is l rounded to the nearest 100?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -34.3 - -36. Let j = z - 2. Let n = -217\/198 - -29\/22. What is the second smallest value in n, j, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = -10*m + 14*m - 2771, 9*m = l - 466. What is the remainder when l is divided by 74?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 666 is divided by (-14)\/18 + 1 + (-185690)\/(-558).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2 - -4.7. Let d = -1.3 - b. Which is greater: -0.1 or d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -23\/1545357 and -125\/1123896.\nAnswer: 12362856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 206 + -93 + -127 - -86.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 8 and 1258787.\nAnswer: 10070296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13 + (-3 - 5 - -4).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 66*m**2 + 19.\nAnswer: 132*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 130134101 (base 5) to base 9.\nAnswer: 1160824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 0.2, 2\/5, 1\/2, 18, -9?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 52 = -244. Let l be (24\/t)\/((-2)\/16). Suppose -8*j + 665 = -l*j. What is the greatest common factor of j and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -49397275*b**3*m**2 - 1163*b**3*m - 14*b**3 - b**2*m - 8*m wrt m.\nAnswer: -98794550*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1395\/7 + -2783\/14. What is the biggest value in 0.3, 181, b, 3?\nAnswer: 181","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) be the second derivative of -w**5\/20 - w**4\/12 - w**3\/3 + 10*w**2 - 5*w - 1. List the prime factors of k(-9).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1490036?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 5*j + 21 = 0, 2*x - 3*j = x. Let s = x + -9. Solve 0*o - k + 21 = 4*o, o - 5*k = s for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 less than -4.0122?\nAnswer: -3.5122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -344*f + 345*f = -2*v + 59, -7*v = -9*v - 22*f + 1340 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(65)\/(sqrt(50)\/(sqrt(10) - sqrt(250))))**2 + -5*(sqrt(13) + (-3 + sqrt(637))**2).\nAnswer: -3022 + 205*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 39 - 7. Suppose c + c = 2. Calculate the remainder when (c + -6)\/((-4)\/x) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -638805*s. Let n(d) = -23*d. What is n(m(l))?\nAnswer: 14692515*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4 + -9. Let p = a + 7. Suppose p*l - 2 - 2 = 0. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 88*g - 11*g - 9467 - 697 = 0. Which is smaller: 118 or g?\nAnswer: 118","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2763\/(-614)*(-12)\/(216\/1)*928\/2.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = l**2 + 2*l - 1. Let v be w(-3). Suppose 3*g = 5*d + 54 - 17, v*g - 24 = 4*d. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(17) + (2*sqrt(17)*-1)**2 + (sqrt(612)*1)**2)*3.\nAnswer: 3*sqrt(17) + 2040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 168 + 40 = 19*x - 45*x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put together -255306992 and 8.1.\nAnswer: -255306983.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 244007940 = -141*x - 67111674. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 341 is divided by 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 14 = 5*q. Solve -5*b = -18 - q for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c - 13 = 4*c - 2*w, 2*c - 3*w + 14 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*p - 5 - 0, -v - 13 = -5*p. Let r = v + 26. Suppose 2*w = 4*u - r, -u - 12 = -w - 3*w. Let n(o) = o**2 - 6*o + 4. What is n(w)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*o**6 + 41*o**4 - o**2 - 49*o?\nAnswer: 360*o**3 + 984*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-14*2*4)\/(324\/8586). Which is bigger: -2966 or q?\nAnswer: -2966","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 373597.\nAnswer: 7, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 2879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1432 and 692014?\nAnswer: 2768056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 10\/25 + (-237)\/(-420). Let x be ((-5)\/(-14))\/((-1)\/(-2)). Let h = x - p. What is the third biggest value in -3, -1\/6, h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (3\/(-2))\/((-4)\/(-8)). Suppose 3*g = -3*k + 9, -2*g + 3*k = -5 - 6. What is the units digit of (g + x)*(6 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -3054691, -3054692, -3054693?\n\"Answer: -v - 3054690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 11384900 rounded to the nearest 100000?\nAnswer: 11400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*s + 7*s = 48. What are the prime factors of s\/(-2) - 2169\/(-9)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) be the third derivative of -5*c**2 + 0*c**5 - 1\/210*c**7 + 3\/40*c**6 - 7\/3*c**3 + 0*c**4 + 0 + 0*c. What is the first derivative of b(z) wrt z?\nAnswer: -4*z**3 + 27*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 2*z**2. Let n(m) = -19*m**2 - 5*m + 5. Let x(w) be the first derivative of 3*w**3 + w**2 - 2*w + 19. Let t(u) = -2*n(u) - 5*x(u). What is t(d(j))?\nAnswer: -28*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4035031, -8070068, -12105105, -16140142?\nAnswer: -20175179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11, 5, 4, -2, 30 in descending order.\nAnswer: 30, 11, 5, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w = -x + 75, -3*w - w = -3*x + 181. Suppose 0*r - 4*d + 35 = r, 2*d = -3*r + x. What are the prime factors of r?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 25 = -k, -4*a + 5*a + 5*k = 31. Let o(s) = 4*s - 119. Let t(p) = p**2 + 19*p - 35. Let z be t(-22). Let i be o(z). Solve 2*g - i*g = -a for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from sxsxsvxxvsxxx. What is prob of sequence svvs?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out 35 * -0.1.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 8 and 18769859.\nAnswer: 150158872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(80) - sqrt(80)*1*-2) + (2*sqrt(80) + 4)**2 - (-4*(-4*(sqrt(125) + 0 + sqrt(125)) - sqrt(125))*2)**2.\nAnswer: -647664 + 76*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 359259034.\nAnswer: 2, 23, 7809979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-408)\/1)\/(-4) + 1 + 3.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:20 AM and 3:18 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k - 43*y = -47*y - 25, 0 = 4*k - y - 16 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*k = k - 65. Suppose 0 = 4*n - k*h - 36 - 1, 3*n + h - 4 = 0. Which is the second biggest value?  (a) -5\/4  (b) -5  (c) n  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) be the second derivative of 5*q**4\/12 + 2*q**3\/3 + 5*q**2\/2 - 7*q. Let c be m(-6). What is the greatest common factor of c and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 426.7 + -753.8. Round b to the nearest 10.\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 10 + -16. Let y = j - -10. What is the greatest common divisor of y and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4\/(-14) - 1160\/(-3885). Let h be (-3)\/(-9) + 49954\/4144. Let d = m - h. Find the common denominator of 19\/6 and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1930046 to the power of 1\/4, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 4) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of ((16 - 4) + -2 + 0)*2992\/85 and 88?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -3806004 not equal to -3805984?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -2*l**3 + 5*l**2 + 6*l. Let f(j) = j**2 + j - 1. What is -5*f(n) + g(n)?\nAnswer: -2*n**3 + n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 72*f - 12. Is 22 a factor of i(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -8*i - 35. Let y(u) = -530*u**2. Give m(y(t)).\nAnswer: 4240*t**2 - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2323 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 314, 500, 826, 1310, 1970, 2824, 3890?\nAnswer: 5186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -l**2 - 117*l - 1268. Let d be g(-15). Put 7, d, 4, -5 in decreasing order.\nAnswer: d, 7, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-4)\/(32\/(-6)))\/(-3). Let j = -0.15 + -3.05. Let s = 0.8 - j. Put 0.3, s, o in decreasing order.\nAnswer: s, 0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - (5 + 5 - 1 - 2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -n**2. Let t(b) = 105*b**2. Let z(x) = 4*x**2. Let r(m) = 3*t(m) - 90*z(m). Give r(f(j)).\nAnswer: -45*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*j - 2*d = -5*j + 20, 2*j + 4*d = -8. Sort j, 18, 3 in increasing order.\nAnswer: j, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 943 + -942.7. Which is the nearest to -7?  (a) v  (b) 0.2  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20.85759 decades to months.\nAnswer: 2502.9108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*1*sqrt(567).\nAnswer: 45*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 29\/54613 and 4\/3809.\nAnswer: 16001609","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 19428011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/(126\/(-20))*3703\/1058?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*x**2 + 3*x**2 - x**2 + 1 + (2 + 0 + 1)*(-62*x**2 - 882 + 882))*(-10*x + 10*x + 5*x**2) to j + q*x**4 + a*x**3 + l*x**2 + s*x and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:14 PM and 8:50 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 450, 6, 9 in ascending order.\nAnswer: 4, 6, 9, 450","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 times -61052?\nAnswer: 122104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -60*q + 495. Calculate the lowest common multiple of 260 and t(5).\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -9*b + 54*b + 12*b + 52*b - 24*b. Determine p(1).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 3, d: 4, n: 2, b: 1, f: 1}. What is prob of picking 1 d and 1 f?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 1680\/630*((-155)\/(-93))\/((-4)\/(-54))\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1  (b) 0.11  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11.8, -1, -24 in descending order.\nAnswer: 11.8, -1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -214 - 4?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in -2, -5, 1\/2, -2\/5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -1  (b) 3.5  (c) 5  (d) -3451\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 - 11) + 1 + (-12 - -5).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:42 PM and 9:29 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1a02 + 1751?\nAnswer: 3653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let -2\/3*c**2 - 2\/3*c**5 + 1\/3 + 2\/3*c - 7\/3*c**4 - 8\/3*c**3 = 0. What is c?\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 8946 - 3531. What are the prime factors of r?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -2  (b) -127  (c) -0.3  (d) -0.008  (e) -7  (f) 0.2  (g) 6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (((5 + sqrt(2))*6 - sqrt(2450))*3)**2 + -2.\nAnswer: -15660*sqrt(2) + 23239","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00030295 rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1441, -1438, -1435, -1432, -1429, -1426?\nAnswer: -1423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 6868 to the power of 1\/2, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9395 = 246*o - 3245 for o.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 520 - 1069. Let k = -549 - a. What is the biggest value in k, 7.2, 0.5?\nAnswer: 7.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38 = -4*k - 18 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/((-7)\/105*48)*-28\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -t + 2. Let h(r) = r + 4. Suppose 3*q = -q - 28. Let v be h(q). Let j be (-4)\/6*v - -3. Give o(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -15, -2, 11, -91 in decreasing order.\nAnswer: 11, -2, -5, -15, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*u - 39 = 41. What is the tens digit of (-1*6\/u)\/((-9)\/(-1830))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by -39.\nAnswer: -4\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.5, 151, -0.3 in increasing order.\nAnswer: -0.5, -0.3, 151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -42 - -42 - (-2 - -2 - (0 - -5))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 3*r - 3. Let x(a) = 2*a**2 - 2. Let p = -32 - -29. Let g(h) = -h**2 + 1. Let u(s) = p*x(s) - 5*g(s). Let c(o) = q(o) + 3*u(o). Factor c(m).\nAnswer: -3*m*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 371 minutes before 11:06 AM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4.1 + -0.1. Let l = 33.85 + -36. Let w = l + 0.15. What is the second biggest value in u, w, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o + 3*f = 28, -2*o - 11 = -4*f + 13 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 7 + -8.5. Let y = 2 + c. Let h be 3\/(-1) + (-27)\/(-12). What is the closest to 2 in h, y, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -16, -91, -214, -385, -604, -871, -1186?\nAnswer: -1549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 3*r - 3 = -9, -4*m - 22 = -5*r. Let w = -3\/16 - -47\/80. Which is the closest to w?  (a) -1\/10  (b) 2\/5  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3 - 4\/8*2. What is the first derivative of v**2 - v**s - 2 - 6*v**4 wrt v?\nAnswer: -24*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -7 - -14. Let l = y - 7. Solve -3*a + l*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1505*o - 264*o - 558*o)*(0*o**2 + 3*o**2 - o**2) to k*o**2 + u*o**3 + s*o + i and give u.\nAnswer: 1366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 19  (b) 0.2  (c) -0.0722  (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29 = -3*y + 31. Suppose r - y = -4*r. Suppose -w - 2*m + 36 = 0, 0*w - r*w = -2*m - 184. What is the highest common divisor of w and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -148 or -147?\nAnswer: -148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 122380498, 122380499, 122380500, 122380501, 122380502, 122380503?\n\"Answer: l + 122380497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 4.116 to one decimal place.\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hhhh when four letters picked without replacement from hhhhhhhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 94312, 188515, 282718?\n\"Answer: 94203*l + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q + 100 = 5*r - 2*q, 2*q = -5*r + 130. Let v be (-6)\/4 - r\/(-16). Suppose v = -4*l - 4*z + 304, 0 = 2*l + z + 2*z - 147. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 41398, 82944, 124490?\nAnswer: 166036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put together 30191 and -2090596029.\nAnswer: -2090565838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -15*s**3 + 15*s**2 - 4*s - 13. Let f(l) = -7*l**3 + 7*l**2 - 2*l - 6. Let p(h) = -13*f(h) + 6*z(h). Let i(b) = -b**3 - b. Calculate 3*i(r) + 2*p(r).\nAnswer: -r**3 - 2*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vjvzjzgjjgjggvvzvjj. Give prob of picking 2 z, 1 j, and 1 v.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.10429 and -0.06.\nAnswer: 0.0062574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 10 - 8. Suppose -7 = v*y - 7. Let l(w) = 3*w**2 - 2 + y*w**2 + 2. Let j(x) = -3*x. Determine j(l(d)).\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*y**5 - 6*y**5 - y**5 + 3*y**3 - 3*y**3 + y**5 + (2*y**4 + 3*y**4 + 2*y**4)*(y + y - y).\nAnswer: 3*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23360 is divided by 4666?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -7\/243  (b) -1\/4  (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = 6*q - 2*q. Suppose -30*x + 33*x = 6. Solve -p - q = -x*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*t + 115*t**3 - 113*t**3 + 5*t.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0 + 27*6\/18. Let l be (-10)\/(-35) + 38\/14. Solve l*x + h = -6 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/9, -2\/13, 0.3, 324, 1 in descending order.\nAnswer: 324, 1, 0.3, 2\/9, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -20*g*l**2*v**3 + 185*g*l*v**3 + g*l*v**2 + 5*g*v + 281799*l**2*v**3 + 277*l*v**3 + 4*l + v wrt l?\nAnswer: -40*g*v**3 + 563598*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -286010*f**2 - 286744*f**2 + 572141*f**2.\nAnswer: -613*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*h + y = -2*h + 5, 2*h + 5 = -3*y for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*q - 2024 + 2038 = 4*g, -g + 9 = 4*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 0, -17, -5, 3, -2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1 - 0.9. Let o = -1149 - -1149. Let w(x) = x**3 - 2*x**2 + 32*x - 1. Let r be w(o). Which is the closest to 0.2?  (a) r  (b) -10  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 583\/10 + -299\/5. Which is the closest to -2?  (a) s  (b) -0.2  (c) 1  (d) 39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 33\/1460 and -29\/24.\nAnswer: 8760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor w**3\/5 + 2849*w**2 - 18505917*w\/5 - 609741999081\/5.\nAnswer: (w - 5969)*(w + 10107)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) be the first derivative of x**3\/3 + 3*x**2\/2 + 60*x + 1699. Determine m(0).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 1 = -1. Suppose 3*j - 7 + 26 = 4*f, 2*j = y*f - 12. Let r = 9614 - 9613. What is the closest to r in -3\/5, f, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -47387*h - 46729*h + 94800*h.\nAnswer: 684*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -5*g**2 - 14*g. Let o(b) = 3*b**2 + 9*b. Let z(f) = 5*d(f) + 8*o(f). Let n(p) = -p**2 + 8*p - 14. Let y be n(6). Determine z(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 21.75443 litres?\nAnswer: 21754.43","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(2\/119)\/(w\/w**(-30))*((w\/w**(-3))\/w)\/w**4 assuming w is positive.\nAnswer: w**(-3806\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 570266?\nAnswer: 2, 19, 43, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((t\/(t*(t\/t**2)\/t))\/t)**(-23)*t*t*(t*t**(1\/6))\/t*t*t**(2\/9))**(2\/3))**(-2\/7) assuming t is positive.\nAnswer: t**(706\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 3 = -5*q, -3*q - 2 = k - 3*k. Let a = 1 + k. Let y(u) = u**2 + u**2 + 0*u**a. Let x(h) = 4*h. Determine y(x(j)).\nAnswer: 32*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 986 and 27920736?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 287*a**2 - 287*a**2 - 2*a + 20*a**3 in the form l*a**2 + n*a**3 + r + m*a and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(19)*2 + 2 - (sqrt(19) + (sqrt(19) - (sqrt(19) + -3 + sqrt(19) + -2))) - -1*(sqrt(475) + (sqrt(475) + -1)*5 + sqrt(475)))**2.\nAnswer: -592*sqrt(19) + 26075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 350 and 7252.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*o**2 + 3*o**2 - 2*o**2)*(-24*o + 77*o - 22*o) + o**3 - 4*o**3 + 2*o**3.\nAnswer: -32*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 67*h + 4872*h**2 + 87*h**5 - 4872*h**2 wrt h.\nAnswer: 1740*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0, -0.5, -3\/5, 1\/2, 14\/15, -166?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1, -3\/7, 5, -1\/9, 0?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 3*y**2 + 1. Let i(p) = 32*p**2 + 8. What is 4*h(t) - i(t)?\nAnswer: -20*t**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*x**4\/5 + 53844*x**3 + 6040758306*x**2\/5 + 7247456244*x + 54352287603\/5.\nAnswer: 3*(x + 3)**2*(x + 44867)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -371 + 396. Let h(v) = -2*v**3 + 52*v**2 + 4*v - 36. What are the prime factors of h(u)?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/v**(-3\/20))\/v)**(-24) assuming v is positive.\nAnswer: v**(-18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5 - -7. Let q be (-8)\/(-4) - 2\/i. Sort q, -1\/2, -0.4 in descending order.\nAnswer: q, -0.4, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_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: Calculate the remainder when 2077817 is divided by 653.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -10 - ((2 - 8) + -1 + 6) - 19\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 14241*f**3 + 5*f**2 - f - 5. Let b be ((-24)\/16)\/(2\/4). Let o be (-1 - (b + 7)) + 0. Let t be l(o). Round t to the nearest one hundred thousand.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-266)\/14 + (-3 + 4 - -5).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 25*s + 36*s - 45*s - 144 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00009012145 to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 689 minutes after 5:20 AM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-3)\/(69\/18 + -4). What is the tens digit of 500\/n + 4\/18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 166*y. Let k(g) be the first derivative of g**2 - 47. Give k(q(h)).\nAnswer: 332*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000042803 rounded to six decimal places?\nAnswer: -0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve j - 2 = -u, 5*j - 45 + 34 = -4*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.3, -272.8, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 302129844 to the nearest integer?\nAnswer: 671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (((-8)\/(-5))\/(-8))\/(-2)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3298)\/8245)\/((-6)\/20).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3635?  (a) 5  (b) -0.4  (c) -1\/4  (d) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2\/4 + 28\/8. Let g(x) be the third derivative of -x**4\/8 - 5*x**3\/6 - 7*x**2. Let s(k) = -123 - 3*k + 137 + 11*k. Determine t*s(b) + 11*g(b).\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 58*l**3 + 27*l**2 - 25*l. Let s be w(1). What is the greatest common factor of s and 590?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 464 and 1276?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*o + 91*o**2 - 79*o**2 + o + 3*o.\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2258 and 19671?\nAnswer: 44417118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + 0 + (1*-3*(1 + sqrt(405)) + -5)**2 + 2.\nAnswer: 432*sqrt(5) + 3714","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = u + 99 - 108. Let x be 4\/(-3) + (-130)\/(-30). Solve u = -h - 3*o, -2 = -x*h - 5*o - 17 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 35 and 145.\nAnswer: 1015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -51.984 + 53. Let g = p - -0.034. Let m = g + -0.05. What is the biggest value in -0.2, 1\/2, -2\/13, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1082083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -167868044, -335736087, -503604130, -671472173?\n\"Answer: -167868043*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p + 275*f = -297 - 150 + 128 - 263, 0 = 5*p + 4*f - 72 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.0482 + 3612.9.\nAnswer: 3612.9482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 14751696 to the nearest integer?\nAnswer: 3841","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -7*y**3 + 22*y**2 + 7*y - 1. Calculate j(3).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -429*a**3*h + 3*a**2*h*z - 3*a**2 + a*h*z + 3*a*h - 2*h*z - 2 wrt a.\nAnswer: -2574*a*h + 6*h*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*r - 6*y = -3*y + 137, y + 52 = -4*r - 19 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -19\/177674 and -17\/228438.\nAnswer: 1599066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -17626874.69 - -17626849.69000033. Let k = 199 + -174. Let l = t + k. What is l rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 289254, 578477, 867670, 1156833, 1445966, 1735069?\n\"Answer: -15*f**2 + 289268*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 397.9513763 rounded to one decimal place?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -702 - -1205. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1.8 + 1. Let u = k - -4.8. Let a = u + -7. What is the closest to -2\/5 in 0.5, 3, a?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 3*t - 16. What is j(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*s = -4*s - 616. Let q(j) = 182*j**2 + 77*j. Let n(r) = 7*r**2 + 3*r. Let a(z) = s*n(z) - 6*q(z). Let y(t) = -3*t. Give a(y(b)).\nAnswer: -126*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that -2*t**4 - 9038*t**3 - 7388150*t**2 + 6770913750*t = 0.\nAnswer: -2525, 0, 531","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -106*h + 4 = -2*o - 108*h, -5*o = 2*h + 13 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = -3*x + 12. Let p be 0 - (-2 + 0 + x). Let s = -5 - -2. Sort -4, p, s.\nAnswer: -4, s, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 111076090?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 8*n + 5. Let b(o) = -2*o - 4 + 0*o - 4*o - o. Give 6*b(r) + 5*i(r).\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 287 and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 99 and 15939?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 2, q: 1, g: 2}. Give prob of picking 2 g.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from {b: 1, g: 11}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 193*f**2 - 146*f - 5233. Is r(-60) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find b such that 2*b**4\/7 + 324*b**3\/7 - 1664*b**2\/7 + 1020*b\/7 + 3006\/7 = 0.\nAnswer: -167, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 343 a factor of 19295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 12530820 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 264 minutes before 2:12 AM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 1 - 3 + 3 + 4*m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 49597, 49570, 49521, 49450, 49357, 49242?\nAnswer: 49105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (7\/(70\/(-75)))\/(9*-1).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 117.0279 months?\nAnswer: 0.9752325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = -3 + 18. Let m be (u\/(-12))\/((-1)\/8). Calculate the highest common divisor of 10 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -15 + (2 + -9 - (101 - 93)) + 7\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6 - 19 - 34)*(-4*j**3 + 3*j**4 + 2*j**3 - 2*j**4) to w*j + l*j**4 + x + n*j**2 + d*j**3 and give l.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -11\/6101 or 0?\nAnswer: -11\/6101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18 is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sum 3.12 and 0.0778.\nAnswer: 3.1978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1531*l + 9748 + 21190 + 4275 for l.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Let z be (2 + 1)*8\/(-164). Let d = z + 135\/82. Let v = 1\/12 - 1\/3. Sort -6, v, d in increasing order.\nAnswer: -6, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1 - 0) + 33 + -38\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 113454 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 99033.\nAnswer: 3, 11, 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 215 * -0.04446\nAnswer: -9.5589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1c (base 16) to base 5.\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -48*t - 39*t + 117*t + 13 + t**2 - 40*t + 12. Suppose 0*b - b = -10. Is 17 a factor of i(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1120111312 + 12?\nAnswer: -1120111300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 997, 1089, 1249, 1477?\n\"Answer: 34*d**2 - 10*d + 973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 15*p - 151 + 136 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the second derivative of v**6\/10 + 43*v**5\/20 + v**3\/6 + 7*v**2\/2 + 3*v + 65. Find the second derivative of l(k) wrt k.\nAnswer: 36*k**2 + 258*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 246\/(-1254) + 3\/33. Put g, -3, -2\/3 in descending order.\nAnswer: g, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 468 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -162961000 rounded to the nearest one million?\nAnswer: -163000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1 - 1)*(-150)\/(-3). Let i = -49 - l. Does 3 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + 0 + 6*((sqrt(50) + -1)**2 - -6*(sqrt(2) + 2)) + -3.\nAnswer: -24*sqrt(2) + 370","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.07757 litres in millilitres?\nAnswer: 3077.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -531\/22 or -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -115 + 40 + (-4 + 7 + 5 - -5)\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 16*d. Let g(s) = -s**2 + 15*s + 125. Let w be g(21). Determine z(w).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 24 (base 16) to base 8.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v - 4*j + 18 = -j, 5*j = -v - 4. Let l be ((-2)\/v)\/(4\/(-24)). What is the units digit of 200\/11 + l\/(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve g + 28 = 5*b - 27, -2*b = -3*g - 9 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -2*x + 7. Calculate r(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -112 + 104. Let y = 9 + h. What is the lowest common multiple of 9 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/c**10)\/c*c**18*(c**(3\/4))**5 assuming c is positive.\nAnswer: c**(47\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -b. Let m(o) = 4760*o**2 - 12*o + 4538. Let f(z) = -12*c(z) + m(z). What is the first derivative of f(h) wrt h?\nAnswer: 9520*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 60*f**2 + 23*f + 1. Is 99 a factor of j(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -12?  (a) -5  (b) 232  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 99 and 972.\nAnswer: 10692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 4 = 10, 2*b + 4*f - 208 = 0. Is b a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in -2\/2543, 12, -146, -0.2?\nAnswer: -2\/2543","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:35 PM and 7:19 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 13, 20, 31, 46?\n\"Answer: 2*f**2 + f + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 87*l - 156 = 83*l. Calculate the greatest common factor of 26 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -111 + 31 - 71*o + 15*o with respect to o.\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -35570 + 853547\/24. Find the common denominator of 109\/48 and y.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 895 less than 892?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*b - 13*b**2 + 16*b**2 - 6 - 2 + 3 + 3*b to f*b + d + j*b**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -21*s - 7. Let o(p) = -31*p - 10. Determine 5*o(j) - 7*r(j).\nAnswer: -8*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is c in -3*c**3 + 183*c**2 - 2880*c + 2700 = 0?\nAnswer: 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.2  (b) 6  (c) 0.3  (d) 4  (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = r**2 - 353*r - 34601. Determine d(-80).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 287878 is divided by 143933?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - (10 - 3 - 5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -8.276 + 8.84259. What is o rounded to two decimal places?\nAnswer: 0.57","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-65)\/273)\/(10\/35)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:29 AM and 4:00 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 34 and 4?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = o - 2, 4*n = 4*o + 4. Suppose -n*y + 7 - 9 = 0. Sort y, 2, -2 in ascending order.\nAnswer: -2, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -10*v**2. Let w(f) = -74*f + 52*f + 223 + 6*f + 7*f + 8*f. Give d(w(t)).\nAnswer: -10*t**2 + 4460*t - 497290","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = -7*s. Which is the nearest to s?  (a) 0.4  (b) 2\/3  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -75*q**3 + 11*q - 2. Let u(z) = -5 + z**3 - 2*z + 0 + z + 4. Let t(s) = j(s) - 2*u(s). What is the second derivative of t(l) wrt l?\nAnswer: -462*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2731584379 to the nearest integer?\nAnswer: 52265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 560695?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1123*n - 26922 = -1129*n. What are the prime factors of n?\nAnswer: 7, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 69978149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of k**2 - 8*k**2 - 2*k**2 + 5*k**2 - 5*k**3 wrt k.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -15 + 25. Is 34 a factor of ((-1)\/(-2))\/(g\/2580)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*b + 2*x + 42, 0 = -5*b + 4*b - 5*x + 3. Suppose 10*r - b*r = 410. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 16) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-2\/15)*v**(2\/3)\/v)\/(v**(-2)*v**(-7)) assuming v is positive.\nAnswer: v**(128\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -4  (b) 1\/7  (c) 5  (d) -817\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(1\/4)*o)\/o*o**(-3))**9*((o**0*o)**(-30))**(-44) assuming o is positive.\nAnswer: o**(5181\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 81*j**3 + 822271869*j**2 - 365454176*j + 40606020.\nAnswer: (j + 10151505)*(9*j - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 664 is divided by 209.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 2733 (base 8) in base 13?\nAnswer: 8b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 220027506 and 6?\nAnswer: 220027506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -276*p**2 - 1251*p + 644. Determine a(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 2052708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*r = 3*v + 3*r - 56, 7 = v + r. Suppose 2*h = 473 - 7. Suppose 2*o = -65 + h. Calculate the greatest common factor of o and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -1356, -1185, -718, 189, 1680, 3899, 6990?\n\"Answer: 24*x**3 + 4*x**2 - 9*x - 1375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 67120019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 44 - 91. Let h = p + 47. Sort -5, 7, h in descending order.\nAnswer: 7, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = m - 16. Let t be 6\/(-4)*64\/(-6). Let p be (18\/(-4))\/((-6)\/t). Calculate the highest common divisor of p and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -134 - -170. Calculate the greatest common factor of p and 144.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 261*p + 695*p + 21 = 977 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f**(-1\/6))\/(f*f**(-2)))\/((f*f**(3\/2))\/(f\/(f\/(f**6*f*f*f)*f*f))) assuming f is positive.\nAnswer: f**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3367, 6726, 10073, 13408, 16731, 20042, 23341?\nAnswer: 26628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -5 + -6248185?\nAnswer: -624818a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 95 divided by 5\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*j**2 - j**5 - 3*j**2 + (-5 + 5 + 2)*(-12 + 12 - 3*j)*(15*j**4 - 11*j**4 + 14*j**4).\nAnswer: -109*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -392*f**2 - 173*f**2 + 591*f**2 - 147*f**2 - 194*f**2. Let m(h) = 7*h. Give b(m(n)).\nAnswer: -15435*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 74497099?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 1, m: 4, l: 9}. Give prob of sequence lm.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3ac8 (base 13) to base 5.\nAnswer: -232240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 10095 or 747101\/74?\nAnswer: 747101\/74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -849311*n**3 - 49*n**2 - 14*n + 2. Let t be x(-3). Round t to the nearest one million.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 27  (b) 0.1  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) be the second derivative of 7*l**5\/60 + 4*l**3\/3 - 4*l**2 + 15*l. Let k(z) be the first derivative of x(z). What is the first derivative of k(n) wrt n?\nAnswer: 14*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) be the second derivative of -5*q**3\/6 - q. Let r be i(-2). Let s be (-40)\/(-6)*(-4 - 102\/(-12)). Solve 0 = 4*f - r + s for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 3783 - 3548 = -3*x, c - 9786 = -4*x. Is 26 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = x - 3*p - 17, 2*x - 3*p - 13 = 0. Let m(y) = y - 4. What is m(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.0599552455 - 105951.1.\nAnswer: -105951.0400447545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*r - 3*y + 23, -2203*r - 3 = 2201*r - 4403*r + y for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of (2\/(-4))\/((-1)\/70)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 62 in 20\/3, -2\/11, 0.2?\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 719076492?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 3*j. Let f(o) = -55*o**2. Give f(m(x)).\nAnswer: -495*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1627127287 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 247216370*u - 84554524 wrt u?\nAnswer: 247216370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 505667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 1, j: 8, s: 2, h: 2, x: 3, v: 1}. Give prob of sequence jjs.\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -450867, -450862, -450857, -450852, -450847?\n\"Answer: 5*c - 450872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.01 in 0.1, -4, -0.5, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 4*w**2. Let a(d) = 2*d + 11052 - 11059 - 5*d - 14*d. Determine a(y(q)).\nAnswer: -68*q**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 13580 + 8?\nAnswer: 13588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 16*u - 3*u + 403 - u**2 - 411. Give w(12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.789 and -637.\nAnswer: -637.789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (-40)\/(-13125)*7*12*3\/48?\nAnswer: 2\/125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 170297?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 90634571 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 0*w - 2*w + 67 = 0, -2*m = w - 26. Suppose -7*a + m = -13. Solve 3\/5*r**a - 3\/5 + 0*r**2 + 6\/5*r - 6\/5*r**3 = 0 for r.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {b: 3, v: 1, y: 5, i: 1}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.9186074 rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 593666603?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) 2  (b) 0.668  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -17.63 - -18.6. Round r to 1 dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) be the second derivative of 0 + 11\/12*r**4 + 2*r**3 + 1\/20*r**5 + 10*r**2 - 6*r. Let i be h(-10). Solve 0 = 2*p - i*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/(-6)*(-18)\/(-21).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 358*k = 654 - 4592 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 39*i**3 - 4*i**4 - 40*i**3 + 0 + 4 - 2 as j*i**4 + k*i**3 + w*i**2 + m + b*i and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 0 + -365526?\nAnswer: -365526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sccc when four letters picked without replacement from {x: 4, c: 3, s: 3, a: 4}?\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1510*g*l**3*z**2 - 2*g*l**3*z + 958*g*l**3 - 2*g*l**2*z**2 - 190454*g*l**2 + 5*l**2*z**2 wrt l.\nAnswer: -9060*g*z**2 - 12*g*z + 5748*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 0*o**2 - 4*o**2 + 7*o + 7 + 6*o. Let x(z) = -z**2 + 4*z + 2. Let b(c) = -13*c**2 + 8*c**2 + 3*c + 6*c**2. Let g be b(-2). Determine g*u(h) + 7*x(h).\nAnswer: h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 80.1 plus -4.46?\nAnswer: 75.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2*p**2 + 0)*(4 + 1 - 3)*(74947 + 172*p**2 - 74947).\nAnswer: -688*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = d**2 + 2*d + 4. Let b(t) = -2*t - 1. Let o be b(3). Let c = -4548 + 4550. Let w(p) = p**3 + 4*p**2 + 7*p + 13. Determine c*w(k) + o*i(k).\nAnswer: 2*k**3 + k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 330 and 66?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1769782092 rounded to the nearest one million?\nAnswer: 1770000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 508 minutes before 9:51 PM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((4*sqrt(99) + -2)*-3 - (-4 + (5 + sqrt(99))*-4))**2.\nAnswer: -14472 + 2880*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 (base 5) in base 4?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -3*d + 5. Let o(i) = -i + 1. Let b(w) = w + 10. Let m be b(-5). Give m*o(y) - j(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -618 divided by 103.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -1127702984 - 0.03038\nAnswer: -1127702984.03038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 510632?\nAnswer: 2, 29, 31, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 105*j = 116*j - 671. Calculate the remainder when j is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -i**2 + 15*i + 13. Let s be d(11). Suppose 54*y - s*y = -27. Calculate the least common multiple of 18 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-62)\/1581*(-3)\/(-4))\/(12\/16)?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 11 - 11. Let r = f - -4. Solve -t - r*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1\/4*141 - 1. Let b = t + -34. Let l be (-8)\/21 - 6\/(-9). What is the nearest to -2\/5 in l, b, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h + 4*z = 356, -5*h + 366 = -h - z. What is the remainder when h is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 220966564, 220966562, 220966560, 220966558, 220966556?\n\"Answer: -2*h + 220966566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 7 and 2166478790?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = 1430*c + 165881. What is g(-116)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = h**3 - 7*h**2 - h + 7. Let d be f(7). Suppose d = m - 2*m. Factor 1\/3*b**3 + 0*b**2 + m*b + 0.\nAnswer: b**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 22 - 18. Let v be (4 - a - -14) + 1 + -3. Suppose v*o - 13*o - 1 = 0. Round o to zero decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -114*t**3 - t**3 + 47*t**3 - 47*t**3.\nAnswer: -115*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that -2*i**3 + 1666256*i**2\/5 - 69409893186*i\/5 - 27764223876\/5 = 0.\nAnswer: -2\/5, 83313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(102) + sqrt(102))*4 + sqrt(102)*-2*3 + sqrt(102))\/(-1*sqrt(384) + 2*sqrt(6)*-2).\nAnswer: -sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -307.93436 times 0.13?\nAnswer: -40.0314668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.002174054 rounded to four dps?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from sibwsiwzizsd. What is prob of sequence zz?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-18)\/(-5))\/(3\/10). Suppose -3 = -3*b + t. Suppose 0*y + 5*y = -b. Sort 4, 3, y in descending order.\nAnswer: 4, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1133 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = -h + 3*t + 108, -2*h - 5*t + 212 = 0. Let o = h + -41. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 - 4 = -2*v - 5*g, -3*g + 6 = -3*v. Put v, 3\/8, 2 in decreasing order.\nAnswer: 2, 3\/8, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 22*b**2*f*p - 658*b**2*f + b - 810*f*p + 17*f wrt p.\nAnswer: 22*b**2*f - 810*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 699*i*x**2 - 15*i*x + 32*i + 5757006*x**2 wrt i.\nAnswer: 699*x**2 - 15*x + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.129 times -0.058?\nAnswer: -0.239482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bmbbbbbmb. What is prob of picking 1 m and 2 b?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 3, b: 2}. Give prob of picking 3 r and 1 b.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4*34\/2380)\/(6\/21).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y**2 - 23*y - 107. Calculate j(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -4d7961 (base 15) in base 7?\nAnswer: -43426315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - -4)*(6 - 140\/20)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 18 - -6. Suppose 0 = 4*f - 20, -4*v + 2*f = -79 - 179. Suppose 0 = 2*c + 2*x - 7*x - v, -4*x = -c + 26. What is the remainder when c is divided by q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16459*m + 16523*m = -1856 for m.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 9 and 36574290.\nAnswer: 36574290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.1808 rounded to two decimal places?\nAnswer: 1.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 21306, 85262, 191864, 341118, 533030, 767606, 1044852, 1364774?\n\"Answer: l**3 + 21317*l**2 - 2*l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*p - p - 11 + 5*p + (-1 + 8 + 1)*(-3*p + 0*p + 5*p).\nAnswer: 17*p - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 3*l**2 + 2864*l + 14345. What is g(-5)?\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 766 and 32189618?\nAnswer: 766","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-14)\/(-6)*((-190)\/672 - 3\/(-16))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 - 18 = -2*q + 3*v, 2*v + 4 = 0. Suppose -3*h + 1042 + 422 = 2*a, q = 5*a. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) be the first derivative of -15*d**5 + d**4\/4 - 3*d**2\/2 - 6*d - 91. Find the second derivative of o(n) wrt n.\nAnswer: -900*n**2 + 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 12*l. Let y be q(1). Suppose 4 = -4*s - y. Let i(g) = -g**3 - 5*g**2 - 5*g - 4. Determine i(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 15*y**2 - 446*y**2 - 342*y**2 - 43*y**2 - 592*y**3 wrt y?\nAnswer: -3552","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 160 = 4*y. Let h be (y\/244)\/(4\/(-2)). Let t = h - 212\/549. Which is the closest to -2?  (a) 0.4  (b) -0.1  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 931 and 1323.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*p**5 - 3*p**5 + 4*p**5 + (-2 + 5 + 0)*(6*p - 3*p**5 - 6*p) + 3*p**2 - 3*p**2 - 2*p**5.\nAnswer: -14*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 35*q**2*y + 2*q*y**2 - 45*y**2 + 9*y wrt q?\nAnswer: 70*q*y + 2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(114)\/(-1*sqrt(24) + sqrt(6)).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*a = -h - 3*a + 4, -5*h - 3*a + 2 = 0. Let b(q) = 211*q. Is b(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8*m + 3*m + 2*m**2 + 6*m - 2*m**3 to the form x*m**2 + d*m**3 + g*m + y and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 9336853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*u**3\/9 - 106148*u**2\/9 + 1424942080*u\/9 - 437027963200\/9 = 0. What is u?\nAnswer: 314, 26380","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 6*p - 6. Let f(n) = -n - 3. Let d(g) = 42*g - 144. Let t(v) = -d(v) + 2*f(v). Let q be t(3). Give h(q).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -4, -57, -1, 5, 4 in descending order.\nAnswer: 5, 4, -1, -2, -4, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 333675 is divided by 8609.\nAnswer: 6533","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 67872?\nAnswer: 2, 3, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 - -1 - -4) + -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 1 f when two letters picked without replacement from zfhlhhfhhlhz?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 2 f when three letters picked without replacement from hffhrrahannhzaz?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fhf when three letters picked without replacement from hhhhfhhfhfhfhh.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1\/(-1 + (-4)\/6). Let j be 5 + (-22)\/3 - -2. What is the smallest value in j, b, -2\/9?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 132 divide 155682780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 238\/9, 1\/4, -6419\/6?\nAnswer: 238\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 1199 = 7*d. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = -3*z + 3969, l + 2650 = 3*l + z. List the prime factors of l.\nAnswer: 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -63 - -58. Sort 4, 0, m, 3 in increasing order.\nAnswer: m, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 74 and -3094.8.\nAnswer: -229015.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 270b7085 + 0?\nAnswer: 270b7085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 196243 + -67703963\/345. Let f = 2\/69 - j. Which is the third smallest value?  (a) -3\/5  (b) 2\/7  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g + 3*r + 1 = 0, -297*g + 292*g - 4*r - 9 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 240382811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 57749 is divided by 77?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 1352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.4437432817 and 0.043.\nAnswer: -0.4007432817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.11 or 12?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2326 - 644303\/277. Let f = -24101\/554 - a. Find the common denominator of (324\/126)\/((-274)\/126 - -3) and f.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in eleven quarters of a week?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4133466?\nAnswer: 2, 3, 229637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 386510, 386506, 386502?\nAnswer: 386498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*s**2 + 0*s**2 + 6*s**2)*(-2*s**2 + 2*s**2 + 2*s**2) + (17*s + 4*s**4 - 17*s)*(3 + 6 + 2).\nAnswer: 48*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1 + 4. Suppose -3*b = 5*c - 14, -c + k*b - 7 = c. Solve 5*x - 4*x - c = 2*s, 2*x = 5*s + 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 361051195.\nAnswer: 5, 89, 811351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (0 - -128) + -63 + 3\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 + -8)\/((-15)\/2) + -2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-3)\/4*(-2)\/(-3). Let y = -2017\/351 + 151\/27. What is the smallest value in f, y, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:38 AM and 3:30 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 4265 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 12648 divided by 1\nAnswer: 12648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*u + 12*u - 2 - 7*u + (-1 + 1 - 2)*(-2*u - u + 0*u) - u + 0*u + 3*u to p + a*u and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3984796, -3984803, -3984814, -3984829?\nAnswer: -3984848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -u**2 + 7*u - 6. Let m be y(6). Suppose m*r = -3*r + 15. Let -x**5 + 4*x**r + 6*x**2 - 3*x**3 + 4*x**3 - 10*x**3 = 0. Calculate x.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 370766 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 10*s = -5*s, 0 = 2*q - 3*s + 38. Are -235\/26 and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/5 in -3, 2\/21, -1, 133, 158?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2.484 and -117446.\nAnswer: -291735.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*k + d + 41, 28 = 2*k + 8*d - 6*d. Suppose k*o + 8 = 13*o. Suppose -32 = -o*h - 4*l + 16, -4*h + 4*l + 48 = 0. Solve -h = -0*t + 4*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = r, -3*k + 23370 = -0*k + 3*r. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 8246 - 8239.6. Let q = 2 + -7.9. Let c = r + q. What is the nearest to 2\/3 in c, -1\/4, -0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 112\/(-24) - 2\/(-3). Let k be (9\/o)\/(19\/(-76)). Solve 2*j + j = k for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(5) - (sqrt(320) + sqrt(320) + 0))**2 + 0.\nAnswer: 1125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gv when two letters picked without replacement from gkgkkvukkvkkk.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 + (2 + 83324 - -15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = -3*m. Suppose -2*t = -8, -2*t + m*t = -5*a + 2. Suppose 0 = n + 4*n + 25, 0 = 2*h + a*n + 8. Solve -4*q + 3 + h = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 25, 101, 227, 403, 629, 905?\n\"Answer: 25*y**2 + y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9 = -12*q - 2909*o + 1456*o + 1458*o, 1 = 2*q - 2*o - 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2.13 and 1.\nAnswer: -2.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 1455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert -202 (base 3) to base 7.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = -5*i - 4*n, -n + 3 = -2*n. Let z be i\/6*4\/(-4). Let s = 12 + -17. What is the closest to z in s, 1\/6, -4\/7?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 313316 (base 7) to base 16\nAnswer: d2fb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 0 + -2 - 5\/((-45)\/15 - 2). Put t, -3, 1, 17, -5 in ascending order.\nAnswer: -5, -3, t, 1, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 104 + -104.06. Let x = 68.306 + 0.494. Let k = -69 + x. Sort -2\/3, k, 2\/9, t.\nAnswer: -2\/3, k, t, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 15\/(-25) + 2\/(-8)*0.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4206598\/20223 - 107) + -101.\nAnswer: 2\/189","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) be the first derivative of -2*r**7\/1155 - 7*r**6\/660 - r**5\/110 - 16*r**2 + 26. Let w(z) be the second derivative of y(z). Factor w(f).\nAnswer: -2*f**2*(f + 3)*(2*f + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -3*r**2 + 1. Let g(t) = 1029*t**2 + 3. What is -g(v) + 4*k(v)?\nAnswer: -1041*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (6\/5)\/(6\/20). Let w(y) be the second derivative of 0 + 0*y**3 + 1\/12*y**v + 2*y - 1\/2*y**2. Determine m so that w(m) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -4*d - 1. Let n be a(0). Let j(p) = 4*p + 1. Let z(h) = h - 1. Determine n*j(s) + 3*z(s).\nAnswer: -s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2522*s = -1696*s - 52864 for s.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 at least 6\/54229?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 7091 and 189.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*b**3 + 5*b**3 + 12*b**2 + 36*b**2 - 68*b**2 - 10*b + 16*b**2 as t*b + l*b**3 + c + y*b**2 and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 2357.1 minus -0.4301315?\nAnswer: 2357.5301315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) be the second derivative of -s**3\/6 + 18*s. Let r(p) = 4*p**2 + 2*p + 1. Let k be r(-1). Suppose -5*c = a + 6 - 18, c + k = -2*a. What is m(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 6\/(-12) - (-18)\/4. Let b be (-2)\/4*(9 + -9). Solve -5*y - 25 = 4*t, b = -4*y - f*t - 32 + 12 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 3*o + 299 = -5*h, -4*o - 5*h + 1246 = 0. Calculate the lowest common multiple of 75 and o.\nAnswer: 7725","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 - 5211 = 125*k + 1286 for k.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 24*y + 42. Let h(v) = -3. Give 15*h(s) + q(s).\nAnswer: 24*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 64638 and 12045753.\nAnswer: 168640542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3303131 - -11211330?\nAnswer: 1302133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = f**3 + 21*f**2 + 20*f - 285. Calculate r(-18).\nAnswer: 327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1458\/135)\/((-12)\/(-10)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1659888 is divided by 932.\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 178353353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -16*g**2 - 3965*g + 45611. Determine p(11).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 59, -738, -2629, -6070, -11517?\n\"Answer: -76*f**3 - 91*f**2 + 8*f + 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2803992*g**2*o + 14495564*g**2 wrt o.\nAnswer: 2803992*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + 2 + 6 + (2 - 6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 27458, 3, -10, 25 in increasing order.\nAnswer: -10, 3, 25, 27458","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:31 AM and 4:51 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 2 + 24*g**3 - 80*g**3 - 105*g**3 - g**3.\nAnswer: -162*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 2*r**2 - 70*r. Let t(h) = 2*h**2 + 1073*h - 1073*h. Give a(t(z)).\nAnswer: 8*z**4 - 140*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = s - 3. Let m be w(-7). Is ((-878)\/(-4))\/((-5)\/m + 0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1840929 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 57105 is divided by 6345?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 315 and 693?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2301, 3290, 4609, 5988, 7157, 7846, 7785?\nAnswer: 6704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1311*y + 24700 = -323*y for y.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) be the third derivative of y**6\/720 - y**5\/90 - 7*y**4\/144 + 5*y**3\/18 - 2*y**2 + 42*y. Factor p(i).\nAnswer: (i - 5)*(i - 1)*(i + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = r**3 + 8*r**2 + 9*r + 4. Let s(o) = -3*o. Let y be s(2). Suppose -9 + 1 = -2*c. Calculate the least common multiple of c and q(y).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from hhbhhhhhhhhhhbhhhhbh?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1560 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -158*a**2 + 78*a**2 - 32765 - 35030 + 81*a**2.\nAnswer: a**2 - 67795","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 6*f**2 + 5*f - 1. Let l(g) = -3*g**2 - 3*g + 1. Suppose -25 = 5*d, -40 = -5*i + 2*d + d. Let j(m) = i*l(m) + 3*x(m). Differentiate j(n) wrt n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -422421 (base 5) to base 10.\nAnswer: -14111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 75315\/4 + -18011. Which is smaller: 818 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 222, 248, 278, 312, 350, 392?\nAnswer: 438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 1 + 2*r)*(-2 + 0 + 1)*(2*r - 4*r + 9*r)*(r**2 + 0 + 0) to g*r + z*r**4 + c*r**2 + b*r**3 + t and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 20202 + -20200. Sort 3, 4, f, 32, -3 in increasing order.\nAnswer: -3, f, 3, 4, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*y**3 - 76*y**2 - 116*y - 24 = 0. What is y?\nAnswer: -1, -1\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4506178.\nAnswer: 2, 197, 11437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express 8 - 2*z**2 + 5 - 79 + 4 - 2*z as s + r*z + g*z**2 and give s.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is n in 5*n**4 - 10985*n**3 + 87515*n**2 + 98505*n = 0?\nAnswer: -1, 0, 9, 2189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -19 + 21 - (-2)\/2*3. Calculate the greatest common divisor of 105 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000365 rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9 + (0 - 1 - -3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3, 1\/6, 0.2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1.1 - 1. What is the third biggest value in -2\/5, 3, n?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:29 AM and 7:48 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 97 minutes after 4:28 AM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kdkuwuukkkkukw. Give prob of sequence uu.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1*(-228)\/24 - -10. Let r(i) be the first derivative of 0*i**4 - 12\/5*i**5 - t*i**2 - 17 + 0*i + 0*i**3. What is the second derivative of r(k) wrt k?\nAnswer: -144*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) be the first derivative of -x**4\/4 - 4*x**3 - x**2\/2 + 4*x - 11. Let r be b(-12). Is r less than or equal to 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-3)\/c)\/c)**(-49)*(c**5)**(-2\/47) assuming c is positive.\nAnswer: c**(11505\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -33 + 2 + 51 + (25 - 3)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 2, h: 1, z: 4}. Give prob of picking 3 z.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 6 + 13*s - 3 + 18 - s**2 + 3. Let i be z(12). Calculate the highest common factor of i and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8662791, -17325582, -25988373, -34651164?\nAnswer: -43313955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is d60c - 0?\nAnswer: d60c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 - 15 = -4*m. Suppose -k = m*o + 5, k - 4*o - 1 = 29. Suppose -4 = -k*j + 9*j. Solve 3 = u + j for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 6083 and 4.\nAnswer: 6087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 15233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) be the third derivative of -4*g**2 + 0*g**3 + 0*g + 1\/10*g**5 - 1\/8*g**4 + 0. What is the second derivative of s(q) wrt q?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3426, 13641, 30708, 54633, 85422?\nAnswer: 123081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) be the first derivative of -5084*f**2 - 10352. Let a(d) = -2*d. What is y(a(c))?\nAnswer: 20336*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 4*k = -2*w - 37, 0 = k - 5*w - 43. Let y = 1 + 2. Suppose 2*i = 3*a + 1, -5*i - y*a = -2*a - 45. Solve -5*u + i = k for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-5804)\/(-20) - -3) + (-33)\/165. Solve 12 = 297*o - h*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -8710086*l**3 + 14317666*l wrt l.\nAnswer: -52260516*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*j - 4*j - 2 - 7)*(-1 + 2 + 2).\nAnswer: -6*j - 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 111  (b) 0.3  (c) -3  (d) 0.181  (e) -1  (f) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = 3*w + 2*a + 12, 3*a = -3. Let f(s) = -s + 5. What is f(w)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -340, -706, -1110, -1576, -2128?\nAnswer: -2790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 0*v**4 + 5*v**4 - 3 + 3*v**4 + 0 wrt v?\nAnswer: 32*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -86 or -766\/9?\nAnswer: -766\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -63553, -63889, -64225, -64561?\n\"Answer: -336*i - 63217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2662 divided by 1331.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (2\/(-4))\/(1\/(-2)). Let n = 1.2 - -0.4. Let o = n + 0.4. Is u < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) be the second derivative of 12*g**4 + 2*g**3\/3 + 43*g**2\/2 - 2*g + 75. Is h(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 144528 and 48.\nAnswer: 144528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 5716 a factor of 1901562945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-90)\/27)\/5)\/((-16)\/6)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 4*t - 2 = 0. Solve -3 = t*m + m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -211*n + 360*n - 149*n + 1539*n**3 - 130*n**3.\nAnswer: 1409*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1034498 is divided by 315?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 20551 + -20625. Sort -3, q, 2 in decreasing order.\nAnswer: 2, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2 - -3)\/(-1) - -3. Suppose -6 = -4*g - d*k, 4*g + 9 = 3*k - 0. Suppose g = z + 3, 2*x - z - z - 18 = 0. Is x a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -4159*o + 277. What is the ten thousands digit of k(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -778 - -778. Let p(w) be the third derivative of d*w - 7\/24*w**4 + 0*w**5 + w**2 + 0*w**3 + 0 + 1\/60*w**6. Find the second derivative of p(b) wrt b.\nAnswer: 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 52542, 210343, 473376, 841641, 1315138?\nAnswer: 1893867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2693*l*r**3 - 118*r**3 - 19*r**2 - r - 8 wrt l?\nAnswer: 2693*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = 4*z + 470, 10*z = -x + 15*z + 475. Is 18 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -6  (b) 0.3  (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 34708560 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 633221254.\nAnswer: 2, 316610627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 804 divided by -67\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (701*q - 1 + 3 - 696*q - 6*q**2)*(4 + 0 - 2).\nAnswer: -12*q**2 + 10*q + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) be the second derivative of -c**5\/10 + c**4\/12 - c**3\/6 - c**2\/2 + 7*c. Is w(-3) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r, 1 p, and 1 w when four letters picked without replacement from mpprrpprrpxwxri.\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -38  (b) -1\/6  (c) 0.3  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(1\/8)\/j)**(-9\/5)\/(j\/j**(-3\/4))**46)**(-41) assuming j is positive.\nAnswer: j**(129437\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-324)\/(-27))\/(-4))\/(2\/(1*-8)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -496010, -992026, -1488042?\nAnswer: -1984058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.22 + -0.03262127.\nAnswer: 1.18737873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1056 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 34 divide 124848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -6*z + 10. Suppose -5*y - d - 205 = d, y = -z*d - 23. Are -43 and y equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from spllrlhrlrsp. What is prob of sequence llp?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -21*12\/(-72)*6\/7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-m**2 - m**2 + 4*m**2)*(-18 - 220*m - 256*m - 208*m + 20).\nAnswer: -1368*m**3 + 4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -93438 or -186877\/2?\nAnswer: -186877\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0\/((-120)\/(160\/(-8))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 7, v: 9}. What is prob of picking 3 v?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 604267.\nAnswer: 593, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 15\/10*12\/(-18). Let p be (g + 45\/3)*10\/35. Solve -p*n = -3*n - 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 822052?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -33*w**2 - w - 1. Let b be v(-1). Let l = b + 31. Let z be (-1*(-2 + -3))\/(-1). Sort l, 2, z in increasing order.\nAnswer: z, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 8763, 8765, 8769, 8775, 8783, 8793?\nAnswer: 8805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 43\/4 of a gram in milligrams?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*l*p*w*y - l*p*y**2 + 106*l*p*y - 1143*p*w*y**2 - 7*p*w*y - 2*p*y**2 wrt w?\nAnswer: -2*l*p*y - 1143*p*y**2 - 7*p*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2\/21, -4\/41, 11195?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10 - -100001100001111011101100?\nAnswer: 100001100001111011101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f = -2*a - 564, -4*f = -0*f + 5*a - 592. What are the prime factors of f?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c - 5*z = 2*c - 9, 4*z = -4*c + 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(2 + sqrt(252)*1 + sqrt(63))**2.\nAnswer: -1713 - 108*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -g**3 - 7*g**2 - 9*g - 9. Let b be a(-6). Let o be 2\/(-4) + (-22)\/(-4). Suppose o*w - 2*w - b = 0. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1343531 and 27097.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:31 PM and 5:56 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sum 3 and -0.9.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + -2*(1 + sqrt(176))**2 + (5*(sqrt(176) + -1) - (2 + sqrt(176)*2))**2.\nAnswer: -184*sqrt(11) + 1275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 24090651 to the power of 1\/2, to the nearest integer?\nAnswer: 4908","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - d = 9*q + 9982, 0 = -3*q - 4*d - 5996. What is the tens digit of (q\/4)\/(-4 - 9\/(-3))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y and 1 c when three letters picked without replacement from czdddzdhzddcdydzycd.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 2*v**2 + 10*v + 8. Let y be k(-6). Let t = -32 + y. Let j = t - -37. Calculate the remainder when j is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (450*l**2 - 189*l**2 + 10*l - 123*l**2)*(3*l + 0*l - l).\nAnswer: 276*l**3 + 20*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -60 = -15*y - 180 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5043954 is divided by 216.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 207943 is divided by 17308.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2294615?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 0 + 0)*(-5*d**2 - d**2 + 5*d**2) - 4*d**2 - d**2 + 6*d**2 + 5*d - 8*d - 5004*d**2 + 4853*d**2 in the form h*d + n + g*d**2 and give g.\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -2*g**2 - 24*g - 4. Let i be n(15). Let r be i\/(-165) + (-4)\/3. Factor -6\/5*y**3 + 2*y**4 + 0*y - 2\/5*y**5 + 0 - r*y**2.\nAnswer: -2*y**2*(y - 3)**2*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-2\/3)*x*(x*x**(-5))\/x*x)**(-1\/24)*(x\/(x\/(x\/x**0)))**43*x**(1\/3)*x\/((x*(x\/((x*x**(-5)*x)\/x))\/x)\/x)*x assuming x is positive.\nAnswer: x**(2987\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gddgdddgdg. What is prob of picking 1 d and 1 g?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -33 - -41. What is the least common multiple of c and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m - 2*k - 14 + 18 = 0, 2*k = -m - 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 4*q**2 + 9*q + 4. Let i(p) = p**2 + 1. Let r(o) = 2*o**2 - o + 2. Let h(l) = 10*i(l) - 4*r(l). Suppose 6 = 3*g + 12. Give g*c(d) + 5*h(d).\nAnswer: 2*d**2 + 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 144076075 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 3285123.174 to the nearest 100.\nAnswer: 3285100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 4725286482 to the power of 1\/2, to the nearest integer?\nAnswer: 68741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 2*g = 72664, -w + 8418 + 6091 = 3*g. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((4\/(-10))\/1)\/(((-1035)\/(-25))\/(-23))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 9.7 + -9.700057. Round q to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 323 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 57a901 (base 11) to base 2.\nAnswer: 11100001001000011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1\/(-2) - (-237)\/6. Let r = -5694 + 5731. Are r and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 17949 (base 10) to base 7\nAnswer: 103221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 2*y**3 - 8*y**2 + 27*y + 15. Let i(p) = 10*p**3 - 39*p**2 + 136*p + 71. Determine 19*b(z) - 4*i(z).\nAnswer: -2*z**3 + 4*z**2 - 31*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 58652310 to the power of 1\/2, to the nearest integer?\nAnswer: 7658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -h - 4. Let n(a) = -3*a - 9. Let o(k) = k**3 + 30*k**2 - 32*k - 36. Let b be o(-31). Determine b*z(r) + 2*n(r).\nAnswer: -r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 4774, 4763, 4738, 4693, 4622, 4519, 4378?\n\"Answer: -l**3 - l**2 - l + 4777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*r - 136 = 16*r. Let u = -3.1 + 1.1. Which is the closest to u?  (a) -1\/4  (b) r  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 5*z**2 - 107*z + 563. What is k(5)?\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 536415\/4 or 134105?\nAnswer: 536415\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 14\/11, 1, -0.2, -1\/2, -1 in ascending order.\nAnswer: -1, -1\/2, -0.2, 1, 14\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 59 + -35. Let c(f) = 24 + f**2 - o. Let h(k) = 3*k. What is c(h(u))?\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in twenty-six fifths of a century?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h + 51 - 56 = -2*q, -4*h - 2*q - 16 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -18*h - 16*h - 24*h + 69*h - 10*h. Let q(l) = -3*l + 47*l + 30*l + 10*l. Give q(p(j)).\nAnswer: 84*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -16340, -130701, -441120, -1045625, -2042244, -3529005?\nAnswer: -5603936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = q**3 + 5*q**2 - 9*q - 7. What is x(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -130*p**2 - 59*p - 144. Let d(o) = 65*o**2 + 30*o + 86. What is 5*d(a) + 3*i(a)?\nAnswer: -65*a**2 - 27*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -46 in 0.6, -1\/2, -25\/23, -0.2, -2\/5?\nAnswer: -25\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 32 is divided by (-1134)\/(-66) - 4\/22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66721 + 187555 = 20*b - 6*b. List the prime factors of b.\nAnswer: 3, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*f**2 + 4 + 3 - 10 in the form l*f**2 + v + c*f and give l.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 8497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -40, -9, -2, 233, 1, 9 in increasing order.\nAnswer: -40, -9, -2, 1, 9, 233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 2666988249 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve m - 2*k = -10, 2*k + 3 = 11 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -4*m - 4 + 2*m**2 + 4*m. What are the prime factors of y(-3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 take away 10313689.25?\nAnswer: -10313698.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express a**2 - 3*a + 26*a - 2*a + 32*a as u*a**2 + j*a + o and give j.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = i**2 - i. Let p be w(3). Let s(b) = -b**3 + 6*b**2 + 5*b + 5. Let g be s(p). Calculate the greatest common factor of 385 and g.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.2, -4835, -3?\nAnswer: -4835","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b**4\/5 + 3899*b**3\/5 + 3771189*b**2\/5 - 11450407*b + 38298490 = 0. What is b?\nAnswer: -1957, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.24 or 0.01709?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -15934445 less than or equal to -15934441?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-836)\/12*(-2)\/(-2)*147. Let b be 573862\/56 + 2\/8. Let f = b + z. What is the common denominator of f and -95\/22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -87 - 323 = -41*n. Let x(j) = j + 1. Let v be x(-2). Let q be (0*2\/4)\/v. Solve -r + 5*m - 5 = q, 0 = -r - r - 2*m - n for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1104)\/621*(-4)\/80?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-4\/3)\/(m**(1\/5)*m))\/(m**(3\/5)\/((m\/(m**(-1\/5)\/m*m)*m)\/m)))\/(((m\/((m*(m\/m**0)\/m)\/m))\/m*m**0*m)\/(m*m**(-2\/15)*m*m**(-1\/2))) assuming m is positive.\nAnswer: m**(-47\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 v when two letters picked without replacement from jtnvjjvvjejt?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 230118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 30*k**2*l**2 - 1849*k**2*l - 9*k*l**2 + 2*l**2 - 10887677*l wrt k?\nAnswer: 60*k*l**2 - 3698*k*l - 9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*t + 3*t + 0*t + (-3 - t + 3)*(3 + 1 - 1) + 63*t + 53*t - t to y + g*t and give g.\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) be the second derivative of y**4\/12 - 5*y**3\/6 - 5*y**2\/2 - 3*y. Calculate the remainder when 25 is divided by u(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4244352?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k - 10 = 3*j, -331*k - 4*j = -334*k + 22 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -0.2 times 2.4\nAnswer: -0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2524 - -2540. What is the least common multiple of w and 276?\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 12 = 3*m - 3*y, 3*y = 5*m - 20. Solve m*s - 2*s = 4*j - 14, 0 = -5*s - j - 24 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -961, -3\/2 in descending order.\nAnswer: -3\/2, -5, -961","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 77.4678 millilitres to litres.\nAnswer: 0.0774678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5515 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -4a346 (base 12) to base 15\nAnswer: -1ec90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5139809?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (1 - 3) + -2 + 0. Calculate the common denominator of 2\/a*791\/35 and (-4)\/(((-9)\/(-7))\/(-3)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9859, -19717, -29575, -39433, -49291, -59149?\nAnswer: -69007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4203, -1, -47, 0 in increasing order.\nAnswer: -47, -1, 0, 4203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xxidindaxgiiidiin. What is prob of picking 1 i and 1 a?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 56398581?\nAnswer: 3, 1433, 4373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3347 or 3348?\nAnswer: 3347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*s**3*z**3 + 186*s**3*z**2 - 4077*s**2*z**2 - 75855152*s*z**3 - 18*s*z**2 wrt z.\nAnswer: 18*s**3 - 455130912*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s*s**18*s*s\/((s*s**(10\/7))\/s) assuming s is positive.\nAnswer: s**(137\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 6 + 8 - 14 + 3*d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -23590.907 rounded to the nearest 10?\nAnswer: -23590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 57*l + 64*l - 34*l.\nAnswer: 87*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3093*m + 6219*m - 3108*m - 1692 for m.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 159027691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 393.\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 4*s**3 + 8*s**2 - 5*s - 10. Let k(w) = 3*w**3 - w**2 + w + 3. Calculate 6*k(r) + p(r).\nAnswer: 22*r**3 + 2*r**2 + r + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -133, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2479825 a multiple of 251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + 0 + -247 + 261.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*q - 35 - 21 = 0. Sort 32, q, -10, -4.\nAnswer: -10, -4, q, 32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1  (b) 4258  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -15678*m. Let a = -30346 - -30344. Let s(w) = -67*w. Calculate a*g(b) + 469*s(b).\nAnswer: -67*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -120 = -4*n - 48. Let s = n + -15. Solve -r - 5 = -s for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -344*h. Let v(o) be the third derivative of -o**5\/60 + 31*o**2 + o. Give x(v(t)).\nAnswer: 344*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6051*r - 28061*r + 2*r**2 - 1 + 0.\nAnswer: 2*r**2 - 34112*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cccccacac. What is prob of picking 4 c?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -9 divided by -85437\nAnswer: 1\/9493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2 + 7.3. Let y = -2.6 + r. Let u = 3 - y. What is the biggest value in -4, u, -0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p + 4*t = 3 - 39, -4*t = 29*p - 8*p - 21*p + 48 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -10, -12, -16, -22, -30, -40?\n\"Answer: -s**2 + s - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -12*q - 5*k + 6, 5*q + 636*k - 634*k - 11 = -9 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: Is 9865 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (-33)\/2*23156\/17367?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -567342 divided by -387\nAnswer: 1466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = v - 8. Calculate the smallest common multiple of v and 11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -3.766 to 1 dp.\nAnswer: -3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1145\/(-95) - (-10)\/190?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) be the third derivative of -2*u**7\/735 - u**6\/70 - u**5\/35 - u**4\/42 - 12*u**2. Determine f, given that o(f) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -s**2 + 4*s - 26. Determine m(0).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 4*d**3 + d**2 - 105*d - 279. Give b(-6).\nAnswer: -477","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u - u = -12. Suppose 0 = u*x - x + 4*t - 170, 292 = 4*x - 4*t. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*o - 13*o = -2*c - 24, 0 = 5*o + 5*c - 10 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7.919358t to kilograms.\nAnswer: 7919.358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 620 minutes after 4:03 PM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1403 and 183.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2685?\nAnswer: 3, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -37.116 + 38.116. What is the nearest to 0.2 in 367\/4, 1\/2, t, 4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -22 + 15 + -1 - (2 + (-14 - -1))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -b**3 + 6*b**2 - 5*b. Let j be (-8)\/(-44) + 2*(-477)\/(-198). Determine i(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - -3) + 8*3\/(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 200.9586 - 201. What is d rounded to 3 dps?\nAnswer: -0.041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 26 + 102872?\nAnswer: 103008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i\/i**(2\/17)*i)**(-17\/7)*(i*i**(24\/7))\/i**8 assuming i is positive.\nAnswer: i**(-74\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 171.7 rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 178 = -0*r. Suppose -r = -7*o + 114. List the prime factors of o.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 0.1, 3006 in ascending order.\nAnswer: 0.1, 4, 3006","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 72*5*((-33)\/(-9) - 4). Let b be (1 - 6) + (-612)\/h. What is the nearest to -0.3 in 3, 4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve t - 4*y - 18 = 0, -2*y = -5*y - 15 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/6*(-120)\/(-20).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -832 + 861. Suppose 0 = -r + 34 - m, -4*w - 7 = r. Let c(y) = -3*y - 14. Calculate c(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 539 minutes after 2:51 PM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -x**2 + 7*x**2 - 9*x**2 + 10*x**2 + 0*x**2.\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from {m: 15, v: 5}?\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 2241258 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -s - 195. Let n be z(21). Put n, -1, 0 in descending order.\nAnswer: 0, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -10\/3  (b) 0.5  (c) -0.2  (d) -3\/5  (e) -0.17  (f) -0.04  (g) 5.61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 50669543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-21))**(13\/5)*h*h**(-7)*h\/(h\/(h*h**32*h*h)) assuming h is positive.\nAnswer: h**(-128\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 71 + -113. Let s = 44 + g. Solve -m - 5*p = -10, -s*m + 4 = 3*p - 2 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2 + -4. Let u = c + 127. What is the highest common factor of u and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (99\/(-440))\/(468\/(-1456)).\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*z + 485 - 485.\nAnswer: 17*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 20111 - 100556\/5. Which is the closest to y?  (a) 1\/2  (b) 1\/9  (c) -481\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*c**2 + 5958*c + 5955 = 0. Calculate c.\nAnswer: -1985, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 - 1 + 3)*(7*c + 2*c + 5*c) in the form x + f*c and give f.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert -27126 (base 10) to base 5.\nAnswer: -1332001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -x**2 - 1. Suppose 36 - 8 = -7*f. Give g(f).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = 5*q + 10. Let g be (2 + -2)\/(q\/(-5)). Suppose -3*w = -4*a - 23, g*w - 4*w = 4*a + 16. Let n(l) = -2*l**2 + 1. What is n(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-4)\/(-10) + 168\/5?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -5*z + 10*z**2 + 8*z**2 + 1 - 19*z**2. Calculate y(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1012968069?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -485794*x - 395898*x - 41 + 6.\nAnswer: -881692*x - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (0 + -1 - 3) + -1. Let u = w + 5. Solve u*z = -5*z - 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*k - 2014740 + 6044231 - 2014745 - 2014746.\nAnswer: 17*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 467 is divided by 77?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -102 or -676189?\nAnswer: -676189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5 - 46. Let t = 41 + k. What is the closest to 0 in t, -1, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 253586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -149999*d**2 - 8*d + 12. Suppose -3*o = -2*k + 23 - 94, -2*o + 38 = k. Suppose 6*s = o + 15. Let t be r(s). Round t to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -l**3 - 35*l**2 - 107*l - 35. Give a(-31).\nAnswer: -562","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 51699265 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 920 and 16624768.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = v + 9. Let w be l(-7). Suppose -3*p = n - 50, -w*p + 0*p + 25 = -n. Suppose 2 = x - p. Calculate the remainder when x is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 35 + -52. Let a be (-179 + (2 - 0))*(-17)\/p. Let h = a - -269. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 16, 0.775, 0.5, -0.08, -0.5 in decreasing order.\nAnswer: 16, 0.775, 0.5, -0.08, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/16*12\/(-3).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*a - 16*a = 28*a - 340767. What are the prime factors of a?\nAnswer: 3, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 0, -2, 7, 2 in decreasing order.\nAnswer: 7, 4, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -27759894 divided by -11162?\nAnswer: 2487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-3))\/((-68)\/(-51))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4\/(-8) + 60\/(-8). Let q = 6 - d. Calculate the least common multiple of q and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -157, -187, -255, -379, -577?\n\"Answer: -3*y**3 - y**2 - 6*y - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 82235 (base 11) to base 16\nAnswer: 1d506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 - (13 + -41) - -10 - -3.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 228 is divided by 26.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 85 divide 14109915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 287 - 282. Let z(o) = -2*o - 2. Let y be z(-5). Suppose 3*b + 98 = -3*m + y*m, k*b - 86 = -3*m. Is m a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 11) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 91 - 31 = 15*z. Solve p - 2 = -z for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 3 = -1. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gbkbhkkhghbhbd. Give prob of picking 3 b.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -69259, -69261, -69263?\nAnswer: -69265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*m**2 - m + m)*(-23 - 9 - 20).\nAnswer: 104*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -m + 162*m**2 + 3 - 82*m**2 + m in the form r*m**2 + u + p*m and give r.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 128*z - 279*z + 134*z + 4*z**4 - 5 - 3*z**4 + z**3 to y*z**2 + u*z + g + q*z**4 + r*z**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -17  (b) -18  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -33 + 81 - 35 + 4*t**2 - 3*t**2 to g*t + w + u*t**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 6*r**5 + 9*r**4 - 27*r**3 - 5131*r**2.\nAnswer: 360*r**2 + 216*r - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 108\/20 - 2\/5. Suppose -v*i = 0, 2*i + 0 = p - 1. Let y(l) = 89*l**2 + l - 1. Is y(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -106 or -1255\/12?\nAnswer: -1255\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -18*i**3*m + 2*i**3 - 371*i**2 + 43843*i*m**3 + i + 1 wrt m?\nAnswer: -18*i**3 + 131529*i*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 25680 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -32*u**2 - 363*u - 1405. What is n(-4)?\nAnswer: -465","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 107 + -105. What is the closest to d in -2, -0.4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4023 in -4\/9, 0.4, 1\/2, -55?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8c258 (base 13) to base 12.\nAnswer: 10387b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 652 minutes after 3:19 PM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k = 2, 133*q = 132*q - k for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -23*t - 1. Let n be y(1). Suppose -29*h + 704 = -7*h. Let c = h + n. Calculate the greatest common divisor of c and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 43, 43, 55, 85, 139, 223?\nAnswer: 343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -17759, -141950, -479017, -1135400, -2217539, -3831874, -6084845, -9082892?\nAnswer: -12932455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000095 rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -o**3 + 6*o**2 + 60*o - 27. Let k be h(11). Calculate the remainder when 2*-106*(-7)\/k is divided by 17.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3386\/3 + -1126. Is 4 at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 703 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(1\/26)\/k**(8\/3)*k*k\/((k\/((k\/k**(-3\/5))\/k))\/k)*k*k**(-10) assuming k is positive.\nAnswer: k**(-3521\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 65 and 12181?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.04?  (a) -3554964  (b) 4  (c) 2  (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 49 + -69. Let r be (-80)\/f + (-10)\/3. Which is the nearest to r?  (a) -5  (b) 0.2  (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10\/80)\/((-91)\/104).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:32 AM and 1:27 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) be the first derivative of 7*l**3\/3 - 4. Let x(n) = -5*n + 402. Let h(k) = 5*k - 335. Let i(s) = 6*h(s) + 5*x(s). Give i(t(r)).\nAnswer: 35*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = -3*r + 7, 4*p - 4*r + 4 = -0*p. Let l be p\/(-7) + (-35)\/294. Which is bigger: l or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -4*d + 13. Let j(s) = 3*s - 16. Let c(b) = b**3 - b - 1. Let i be c(-2). Let a(v) = -v + 5. Let y(l) = i*a(l) - 2*j(l). Give -6*t(q) - 26*y(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 44 - 42. What is the second derivative of -4*x - 2*x**2 - 5*x + 5*x**4 + c*x**2 wrt x?\nAnswer: 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -298 - 240 = 5*s - 4*a, -s + 5*a = 116. Let n = -151 - s. Let y = n + 50. Solve 0 = 5*w - j - 23, -y*w + 0*j = j - 27 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/((((b\/b**(10\/9))\/b)\/b)\/b)*b)\/((b*b**(-15)\/b)\/b)*b**(-3)\/((b\/(b*b**(-13)*b))\/b))**(-44) assuming b is positive.\nAnswer: b**(-2816\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 362842*s**2 - 362842*s**2 + 77 + 68*s**3 - 77.\nAnswer: 68*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38*y = -36*y - 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (8\/(-644))\/((-328)\/1886)\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = q + 9. Let s(y) = -y - 8. Let f be (2\/(-3))\/((-6)\/(-36)). Give f*s(v) - 5*w(v).\nAnswer: -v - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tmaaattttatttmtaatt. Give prob of picking 3 t and 1 a.\nAnswer: 165\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -24.3 - -17. Let t = g + 7. Suppose -10*k - 68 = -4*b, -5*b + 62 = 5*k + 47. What is the third smallest value in k, -5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1222 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: What is 277 minutes before 9:43 AM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000067361 rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -6324, -12669, -19024, -25395, -31788, -38209, -44664, -51159?\n\"Answer: -b**3 + b**2 - 6341*b + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 - -6 - -1 - (17 + -13).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -2*m - 2. Let h(q) = q**3 - 5*q**2 + 2*q - 6. Let p be h(5). Let i(j) = 66 + 194 - 261. Give p*i(o) + g(o).\nAnswer: -2*o - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -16 + -145 + 204 - 149.\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*o - 121 = 23. Solve 0 = 5*g - 3*w - 14, w + o - 6 = -g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16 divided by 617054.\nAnswer: -8\/308527","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 4*f**2 + 2*f - 2. Let j(z) = -4*z**2 - 2*z + 1. Determine 3*j(b) + 2*u(b).\nAnswer: -4*b**2 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 70*z**2 - 40*z + 70. Is 30 a factor of a(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 3*l - 127 = 0, -4*k + 3*l - 97 = -306. Does 5 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find z, given that -z**4\/5 - 162*z**3\/5 + 167*z**2\/5 + 648*z\/5 - 652\/5 = 0.\nAnswer: -163, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -67*v - 333. Let c be y(-5). What is the third derivative of -3*i + 4*i**2 - i**2 - 3*i**2 + i**4 + 3*i**c - 54*i**5 + 5*i wrt i?\nAnswer: -3240*i**2 + 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 644782294 to the nearest integer?\nAnswer: 864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 27\/2 of a millimeter?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 371112 and 40.\nAnswer: 1855560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -l**3 - 10*l**2 - 5*l - 11. Let j be y(-10). Is j\/12 - 1\/4 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by 2235.\nAnswer: 1\/745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cvjlcjxcxclvtx. What is prob of picking 1 v and 1 t?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*p = p - 120. Let a(i) = 11 - i**2 + 9*i**2 + p*i - 4*i - 17. Let z(j) = j**2 + j - 1. Give -2*a(n) + 12*z(n).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*g - 3*g + 5. What is the third smallest value in -5, 10, g?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 - 5) + (-46 - -53)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 48 divide -11 + (27577\/44 + -8)*4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wuwuuwwwwwwuwwwuww. What is prob of picking 3 u and 1 w?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 77\/14*-81*(-18)\/9 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1 + 290067?\nAnswer: 290066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((n*n*n\/(n*n**(-10)))\/n*n\/(n**(1\/13)\/n))**(-12))**(1\/28))**(1\/6) assuming n is positive.\nAnswer: n**(-12\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0323033 rounded to three dps?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 6*f**2 - 9*f + 10. Let u be 2*1\/2*10. Let r be h(u). What is r rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2104040431 (base 5) to base 16\nAnswer: -428f07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) be the second derivative of 38*w**6\/3 + 227*w**3\/6 - 261*w. Find the second derivative of y(d) wrt d.\nAnswer: 4560*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -2*a**3 - 15*a**2 + 10*a + 16. Let x be p(-8). Suppose x = 3*n + 2*f - 4*f + 96600004, -3*f = -6. Round n to the nearest one million.\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4088 (base 11) to base 2\nAnswer: -1010100101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -2*s, -12 = -g + 4*g + 2*s. Let b be (g + 1 - -82) + 0. Let j be b\/(-264) + 2\/11. Is 0 less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = h**3 + 2*h**2 + 3*h + 1. Let y be m(-2). Let k = 1.72 + -1.32. Let c be 2\/8 - (-57)\/(-84). What is the third smallest value in 5\/4, y, k, c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 21.9 - 21. Let q = -0.1 - z. Let t = -1\/4 + 3\/4. Which is bigger: t or q?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1821894702.\nAnswer: 2, 3, 479, 633923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 40329.49 millilitres?\nAnswer: 40.32949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 + 1 + 3*h**2 + 75*h + 58*h - 6*h**3 - 9 + 10 + 2*h**4 to v*h**3 + b + z*h**4 + f*h**2 + k*h and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 609 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-198)\/44)\/((-84)\/(-266)).\nAnswer: -57\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1114212102011 + -4?\nAnswer: -1114212102020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4 (base 10) to base 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = 4*k - 3*i, -5*k - 2*i + 22 = 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 45 and 23936295?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15636*a + 3*a**2 + 0*a**2 + 2 + 0*a**2 - 3*a**3.\nAnswer: -3*a**3 + 3*a**2 - 15636*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:11 PM and 9:12 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 530355282.\nAnswer: 2, 3, 79, 1118893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 9*o**3 + 14*o**2 - 4*o + 6. Let s(q) = 7*q**3 + 13*q**2 - 3*q + 5. Calculate -3*j(d) + 4*s(d).\nAnswer: d**3 + 10*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1227 + 3*g - 1222 - 1254 + 3703.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 a factor of 4386847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -3*i**3 + i**2 - i + 2. Let b(m) = m**3 + m**2 - m. Let f(t) = -t + 5. Let j be f(9). Let k(x) = j*b(x) - z(x). What is k(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -j**2 + 10*j - 20. Let h be x(6). Let c(n) be the second derivative of 0 - 1\/70*n**5 + 1\/21*n**3 + n + 1\/42*n**h - 1\/105*n**6 + 0*n**2. Factor c(l).\nAnswer: -2*l*(l - 1)*(l + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -68 - ((18 + 6 - 6) + -28).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 6*s**2 + 480*s + 15. Let f(m) = -7*m**2 - 482*m - 18. Give 5*f(o) + 6*i(o).\nAnswer: o**2 + 470*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -28 - -27.5. Which is the second smallest value?  (a) s  (b) 30  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -25 - 10*d + 20*d - 11*d. Let k be p(-6). Let i = k - -270. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -1\/12  (b) 2\/7  (c) -2\/11  (d) -2726  (e) 3\/4  (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 0*h + 14 + h - 6 + 4. Let w be q(-9). Suppose -119 = -w*d - 47. Is d a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 31a042 + -4?\nAnswer: 31a03c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 419238 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out -39593007039490 + 5.\nAnswer: -39593007039485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 73\/5 of a microgram?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that y**2\/8 + 1223*y\/4 + 1495729\/8 = 0.\nAnswer: -1223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 321 - 3?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (14 - (-2847)\/(-52)) + ((-11)\/(-4))\/(-11).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 32182805?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) be the second derivative of h**5\/4 + 7*h**3\/3 + 4*h. Find the second derivative of d(l) wrt l.\nAnswer: 30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - r = 31, 2*r - 16 = -2*g + 6*r. Suppose 5*k + 0 = q - g, 4*q - 3*k = 92. Is 26 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10*(-27)\/900*-2)\/((-26)\/(-4030))?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1100 - -10011?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4671 - a?\nAnswer: -4680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Total of -35960483.3937 and 5.\nAnswer: -35960478.3937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 446657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - -1 - (12 - 10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*z - 6 = -11*z. Let q(p) = -p**2 - 3*p - 2. Determine q(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 318351 is divided by 6632?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 163815306 to the nearest integer?\nAnswer: 12799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 0, -2, -5, 9\/16?\nAnswer: 9\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) be the first derivative of -2*c**3\/3 + 87*c**2\/2 - 261*c + 67. Differentiate s(j) with respect to j.\nAnswer: -4*j + 87","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 308743 - 154371 - 154366 + 17*d.\nAnswer: 17*d + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -13875 - -13878. What is the fourth biggest value in -3, -0.4, -5\/109, g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -8  (b) 1\/2  (c) 2\/5  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((72\/4)\/(-54))\/((-16583)\/618)?\nAnswer: 2\/161","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-30989*q - 22423*q - 19509*q + 21723*q - 31676*q)*(-1 + 1 + 2) as y + o*q and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 3827.608ng?\nAnswer: 0.003827608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pssqmmymm. What is prob of sequence spmm?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven tenths of a week in minutes?\nAnswer: 11088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*r = -11*r + 235. Suppose 69 = -44*t + r*t. Let n = -16 - -19. Solve -19 = n*d - 2*a, -4*a = -4*d - 9 - t for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 678289030*y**2 + 374981876 wrt y.\nAnswer: 1356578060*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 26\/(-28) + 1\/2. Suppose 60 = -19*x + 41. What is the second smallest value in x, t, -1\/4, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 6*h - 20 = 0. Let i be (6\/h)\/(4\/(-10)). Solve 3*l = 0, -4*g - l - i*l = 20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 34 = 2*u. Let j = u - 12. Suppose -3*t + 126 + 334 = j*d, 0 = 3*d + 2*t - 277. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, y: 2, d: 1, b: 3, z: 3, t: 1}. What is prob of sequence by?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:12 PM and 6:35 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 8961326711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -f + 5*f, 0 = 2*a - 3*f - 9. Suppose -p = p - a. Let v(t) = -2*t - 2. Let q be v(-2). Solve -p*h - q*h - 25 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 0 - -10?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yjvevffvfeyeeyefjf. Give prob of picking 1 e and 1 v.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) be the first derivative of -16*r**2 + 0*r + 120 + 4*r**4 - 40\/3*r**3 + 6\/5*r**5. Factor g(i).\nAnswer: 2*i*(i - 2)*(i + 4)*(3*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1.9508 + 85.1792. Let r = y + -87. Sort 1, -1\/4, r in decreasing order.\nAnswer: 1, r, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 (base 11) in base 7?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -27.88 - -28. What is the third smallest value in -1\/3, 4, j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -14 + 16. Let a = -9 + 13. Find the second derivative of -a - 3*d**2 + 3*d - n*d + 4 wrt d.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 16*k - 26*k + 40. Let h = 10 + -7. Suppose 8 = f - k*n, -f + 7 = -8*n + h*n. What is the remainder when f is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.1059 + 0.3941. Let x = -2\/15 - 8\/15. Which is the biggest value?  (a) h  (b) -8  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (63 - 63 + 15*o**2)*(-17*o - 22 + 22) - 89*o + 11*o**3 + 89*o to the form w*o**3 + s + y*o**2 + h*o and give w.\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) be the first derivative of -3*x**4\/4 - x**3\/3 - x**2\/2 - x + 2. Let p be o(-1). Suppose -2*c + 3*c + 5 = 2*t, 4*t = -c + 19. Sort t, p, -1.\nAnswer: -1, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (1 - 10)*(-306)\/27. Suppose 106*f - r*f - 48 = 0. Solve -2*o - 2*c + f = 0, -2*o - 3*o + 16 = -2*c for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -13 + 16. Let f(x) = x + 1. Let z be f(i). Let c = 142 - 115. Solve -z*s + 1 = -0*v - v, -5*v - 2*s = c for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 minus 4.5626?\nAnswer: -4.2626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 8 + -12. Let i = 303\/28 + -45\/4. What is the closest to 2 in -0.2, i, t?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2241 + 1512 = 9*p. Suppose -272 = 5*g - p. What are the prime factors of g?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -5 and 2.3.\nAnswer: -11.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00003639 to six decimal places.\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 665 and 1429750?\nAnswer: 1429750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 599148 and 3916?\nAnswer: 599148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/f**(4\/5)*f*f\/(f*(f\/((f\/(f\/(f\/(f**3*f))))\/f))\/f))\/(f**(-2\/3)*f**4))**(-2\/7) assuming f is positive.\nAnswer: f**(184\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 156 + -34 + 2 - (2 + 1 + 4 + -6)\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4300420?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 78*y**2 - 14*y - 14. Let b(z) = 26*z**2 - 5*z - 5. Determine 14*b(x) - 5*r(x).\nAnswer: -26*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (p**2 + 2*p**2 - 2*p**2 + (3 + 4 - 4)*(-p**2 + 0*p**2 + 7*p - p**2))*(40 + 17 + 40)*(-2 - 1 + 2) to i*p + g + f*p**2 and give f.\nAnswer: 485","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 - 6 = -4*p. Is 15 a factor of (p\/5)\/((-5)\/250)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = 2*k - 0*k. Let l(u) = -u**3 - 5*u**2 - 7*u - 7. Calculate the lowest common multiple of l(k) and 2.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -2.2 and -121.\nAnswer: -123.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (6\/(-4))\/(15\/(-680)). Suppose r = 5*c - c. List the prime factors of c + (-2 + 5 - 3).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 2, -12, -20, -22, -18?\n\"Answer: 3*d**2 - 23*d + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-70*j - 68*j - 65*j**2 + 1418 - 66*j + 204*j)*(4*j - 3*j + 0*j) as m*j**2 + r*j + i + u*j**3 and give u.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -g**3 - 35*g**2 + 408*g + 16857. Calculate c(-27).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -a**3 - 2*a**2 + 2*a + 1. Let n be u(-3). Let q(s) = -2 - 4*s - 2 + 0*s - n*s. Is q(-6) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 70383 to the power of 1\/2, to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen quarters of a microgram in nanograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 6\/8*(-3)\/9. Let y be (-4)\/2 + 1 - -2. Is y at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -9, -42, -89, -144, -201?\n\"Answer: q**3 - 13*q**2 - q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 348.3122 micrometers in centimeters?\nAnswer: 0.03483122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(2\/7))**(3\/5)*n**(6\/7)\/(n*n**6*n) assuming n is positive.\nAnswer: n**(-244\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-8 - -15) + -3 + -17. Let z(o) = -2*o - 31. Calculate z(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 22215, -2\/3, 0.02?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -186326, -372571, -558806, -745025, -931222?\nAnswer: -1117391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = -w + 83, 7*w + 52 = m + 4*w. Suppose -2*u - 3*d = -0*u - 3, 3*u = 5*d - m. What is the remainder when 47 is divided by (-118)\/(-12) + u\/(-36)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3\/(-4) - 11\/(-4) - -26. Suppose 0 = w*l - 23*l - 140. Suppose 46 = 3*g + 5*a - a, 0 = 3*g - a - 26. Calculate the remainder when l is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 854984?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*y + 161219789 - 161219789.\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 16) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 84690 and 33?\nAnswer: 931590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((k**(-1\/2)*k)\/k)\/k)**30)**11 assuming k is positive.\nAnswer: k**(-495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2 + 1304?\nAnswer: 1302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 54\/72*((-16)\/6)\/(-4). Let m(b) be the third derivative of s*b**3 - 9\/40*b**6 + 0*b + 0 + 2*b**2 + 5\/8*b**4 + 3\/20*b**5. Find i, given that m(i) = 0.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -12 * 95.5901.\nAnswer: -1147.0812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 2*j**4 - j**2 - j - 1. Let q(n) = -3*n**4 - 76*n**2 - 1 - 121*n + 0 - 5*n + 45*n**3 + 0. Let g(z) = a(z) - q(z). Factor g(i).\nAnswer: 5*i*(i - 5)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 61 divide 135054?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(65) + sqrt(65) + 1*sqrt(65))*-2)\/((sqrt(120)\/sqrt(2))\/sqrt(12)).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.06 plus 69070?\nAnswer: 69078.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the first derivative of r**3\/3 - r**2 + 3*r - 2. Let d(g) = g**3 + 2*g**2 - 5*g - 3. Suppose 0 = w - 0*w + 3. Let k be d(w). Determine l(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = r + 7. Let y be o(-5). What is the tens digit of y\/(-18)*-2 + (-642)\/(-27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a centimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2566, -2564, -2562, -2560, -2558, -2556?\nAnswer: -2554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 4400\/(-3960) - 1*(-6)\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 9 - 5. Let f(l) = 2*l**3 - 3*l**2 + l - 4. Let n be f(t). Suppose -u + n = u. Is u a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ipppiph. Give prob of picking 1 i and 1 p.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 22 + -27. Suppose -3*d - 32 = -z, -2*d + 3*z - 3 = 6*z. Let r = d + 7. Sort f, r, -1.\nAnswer: f, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 213*x + 116*x = 11909 - 2368 for x.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 - (0 + 9 + -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 424 minutes after 1:02 PM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 3*l = 0. Suppose -4*b + 2*n - 6*n + 28 = l, -22 = -2*b + 2*n. Suppose 51*a - 1025 = -209. Solve -5*c + a = -b for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 52896.7 and -1587.9.\nAnswer: 51308.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 6\/15 + 3\/5. What is the derivative of -4*d**4 - g + 10*d**2 - 7*d**4 - 10*d**2 wrt d?\nAnswer: -44*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -9*o**2 - 4*o. Let d(q) = 19*q**2 + 9*q. Let x(n) = 4*d(n) + 9*s(n). Let u(p) be the second derivative of p**4\/4 - 30*p. Determine u(x(c)).\nAnswer: 75*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g + 22 - 28 = 3*o, -7 = -5*g + 4*o for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 1, y: 5, p: 1, x: 3}. Give prob of sequence yxx.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -16, -42, -104, -208, -360, -566?\n\"Answer: -v**3 - 12*v**2 + 17*v - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*(q**(1\/4)*q)\/q)\/q*q)**(-9)\/(q**(1\/12))**47 assuming q is positive.\nAnswer: q**(-91\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 2*p = 2397882, -4 + 10 = -2*p. Let t = v - -1205296. Round t to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-16)\/(-51)*6\/8. Let h = -0.4 - 3.6. Put h, 1, p in increasing order.\nAnswer: h, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -j**3 - 5*j**2 + 10*j - 7. Let n be k(-8). Let l = -105 + n. Let v = l - -4. Calculate the greatest common factor of v and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s**(2\/3)*s)**34*s**(-8)*(s**(-3\/7)*s)\/s assuming s is positive.\nAnswer: s**(1727\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 0 + -1*17421*-1. Let p = -348301\/20 + n. Find the common denominator of p and ((-22)\/30)\/((-28)\/147).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = o. Let d be (1*(0 + 3))\/(-1). Let v(h) = 2 - 59*h + 17*h + 17*h + 21*h. Give d*y(z) - v(z).\nAnswer: z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*x - 19*x = 10*l - 36, -2*l + 14 = -3*x for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -150 + -4777?\nAnswer: -5037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -39*i**3 - i - 24. Let o(v) = 45*v**3 + v + 21. Give 2*j(g) + 3*o(g).\nAnswer: 57*g**3 + g + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 99*z**2 - z**4 - 99*z**2)*(z + 0*z + 5*z).\nAnswer: -6*z**5 - 18*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 266*t - 90 = 251*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 360.5 + -40.5. Let a = w + -316. What is the nearest to 1\/2 in 0.2, a, -3\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 453485335 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -6\/265  (b) -96  (c) -3\/5  (d) -0.1  (e) 5  (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 152849869.69999986 - 152849871. Let d = -1.3 - j. What is d rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 145 = -159*z + 164*z. What is the remainder when z is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(152)*4)\/sqrt(8).\nAnswer: 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3 + 0 + (-6)\/(-3). Suppose -u*c - x = -178 - 134, x = -c + 64. Is 31 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*t**4\/2 + 9*t**3\/2 - 9*t**2\/2 + 3*t\/2.\nAnswer: -3*t*(t - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2 + 1. Let z = 2.62 + -2.32. Which is the nearest to h?  (a) z  (b) -5  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 49 - 44. Let t = 0.8 + -0.5. Put t, v, 0.5 in ascending order.\nAnswer: t, 0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 40894986 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -4\/5, -0.3, 3, -2\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 116*q + 11262. Give p(-106).\nAnswer: -1034","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k = 5*k + 50. Let v(b) = -b**3 - 9*b**2 + 7*b - 14. Let o be v(k). Solve -2*p = 6, -4*p - o = 3*y - y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 435 and -0.04599.\nAnswer: -20.00565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = b**4 - b**2 + b. Let h(k) = -3*k**4 - 2*k**2 + 23*k. Let o(u) = -h(u) + 2*q(u). Find the second derivative of o(r) wrt r.\nAnswer: 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 0 - 1 + (-2 - 3 + 2)*(4 + 0 - 3))*(-5 + 4 + 4)*(0 - 3 + 2)*(-r + r - r)*(r**4 + 3 - 3).\nAnswer: -3*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is (-8)\/(-28) + (-10734)\/(-14) - 0 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {c: 12, i: 6}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sum -577206 and 1091811444.\nAnswer: 1091234238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n*n**(-2\/35)*n\/n**(-7\/6)*n**(2\/19)*((((n**(-3\/8)*n)\/n)\/n*n)\/n*n)\/n assuming n is positive.\nAnswer: n**(29363\/15960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 153 - -2?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-9)\/(-6) + -2)*2. Suppose 3*l + 3*a - 8 = -l, 2*a - 2 = -2*l. Let o(f) = -f**2 - 7*f. Let i(k) = -k. Determine l*i(y) + p*o(y).\nAnswer: y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 3471 minus -129?\nAnswer: 3600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 5051724993 to the power of 1\/3, to the nearest integer?\nAnswer: 1716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -5 - -5*(-43)\/(-45). Let j = -3 - -2.7. Let h = 1.3 + j. Which is the second biggest value?  (a) h  (b) 0.1  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 229727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 495818.\nAnswer: 2, 173, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 30?  (a) -4\/5  (b) 6\/11  (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -120 + 20100?\nAnswer: 13320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2933178706 rounded to two dps?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3192 and 1995.\nAnswer: 15960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7*q**4 - 68*q**5 + 7*q**4 + 2 - 27 + 2*q wrt q.\nAnswer: -1360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 42069, 84135, 126189, 168225, 210237, 252219?\n\"Answer: -z**3 + 42073*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*t = 13*t - 60. What is the remainder when 47 is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 9 - k - 17)*(-k**4 + 2*k**4 + 0*k**4).\nAnswer: -k**5 - 4*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -2034, -8503, -19312, -34461, -53950, -77779?\n\"Answer: -2170*l**2 + 41*l + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -184924682*z**2 - 40543942*z.\nAnswer: -369849364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-142)\/(-3621) - 1536\/153.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 8 + 62\/3*(-15)\/40. Factor 1\/2 + 1\/4*z**4 + r*z - 1\/4*z**3 - 3\/4*z**2.\nAnswer: (z - 2)*(z - 1)*(z + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3413 - 58*x**2 - 57*x**2 - 11753 + 117*x**2.\nAnswer: 2*x**2 - 8340","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -j - 1, -5*a + 20*j = 16*j - 24 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = w**3 + 10*w**2 + 9*w - 1. Let l be v(-9). Let b = 143 - l. Calculate the greatest common factor of b and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jf when two letters picked without replacement from sjjdjdfjmdjmjdjmtdjt.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 2840857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*t - 4550 = -4542 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 47 a factor of (13 - 13 - -1457)*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = -388 - 562. Let u be 1\/4 - c\/(-20). Suppose -5*q = -17 - 8. Solve 5*y + 3*p = 8, -2*y + 3*y = q*p + u for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 16 divided by 1858817\nAnswer: 16\/1858817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -173 + 1217\/7. Let a = 19.8 + 144.2. Let s = a - 163.5. What is the third smallest value in -2\/3, y, s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o - 1752 = -3*o. Let a = o - 293. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -9 - -5. Let a be 3\/(-6) + (-1146)\/t. Suppose 0 = 5*w + 56 - a. What is w rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + p = 0. Let u = 2156\/9945 + 6\/1105. Sort p, -0.2, u in ascending order.\nAnswer: -0.2, p, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 3, -6 in decreasing order.\nAnswer: 3, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -11 - -43?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1752273.\nAnswer: 3, 7211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -w**3 + 17*w**2 - 65*w - 35. Determine o(9).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4 - -717?\nAnswer: 713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 77*k**2 - 7*k - 55. Let t be x(-5). Suppose t = -23*w + 26*w. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2\/3, 2, 43, 2\/43, -5?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (424\/168)\/((-52)\/(-12)) + (-6)\/14.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-90)\/(-20) + 2\/(-4). Suppose -4*q - z + 3 = 4*z, -u*z - 4 = 0. Suppose 14 = 4*p + 2. Solve -5 = p*f - q for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21760 is divided by 3622.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 156 minutes before 2:14 AM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1361 - -1379. What is the remainder when 140 is divided by x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 92 minutes after 8:33 AM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 9 - 6. Suppose 20 = -4*b, g*b + 6 = -0*x - x. What is the remainder when 34 is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 28.7 - 30. Let v = -0.5 - q. Let c = -0.80000015 + v. What is c rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -135690, -135687, -135684, -135681, -135678?\nAnswer: -135675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of 8.2 and 193.\nAnswer: 1582.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 9132185829 to the power of 1\/2, to the nearest integer?\nAnswer: 95562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 11*j**2 - 6*j**2 - 3.\nAnswer: 5*j**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 4, -2\/7, 6, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 23 - 19. Suppose 0 = h + q + 38, -p*q + 8 = -h - 15. What is the tens digit of ((-50)\/h)\/((-1)\/(-7))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (0*(-5)\/(-25))\/(0 - -2). Solve -2*x + 10 = -5*c, 0 = -i*x + 3*x - c - 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2398902 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c*c**(-2\/9)*c**(-9))**26*(c**(-4)*c**(-1))\/((c\/c**(3\/4))\/c*c*(c*c**(2\/3))\/c*c) assuming c is positive.\nAnswer: c**(-7009\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -k**3 + 6*k**2 - 3*k - 6. Let a(i) = i**2 - 2*i + 2. Let y be a(3). Let z be j(y). Solve -2*h + h + 5 = -3*f, z*f - 8 = 5*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (24\/(-15))\/((-10)\/250*-10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1848839?\nAnswer: 47, 139, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = x**3 - 6*x**2 - 6*x - 3. Let l be q(7). Suppose -o - 49 = -3*d, -2*d + l*o + 84 = 3*d. Let k = -6 + d. Is k a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 11, 4, 6, -1 in decreasing order.\nAnswer: 11, 6, 4, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ff when two letters picked without replacement from ffffeefeffffeffffeff?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 8 + -2. Suppose 6 = -3*j - d. What is the units digit of 1*5 - (j + 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -11 - (9 - 9 - -10 - 21).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) be the third derivative of 0*x - 1 + 0*x**4 - 2*x**2 + 0*x**3 + 1\/10*x**5. Let l(j) = 15*j**2. Calculate l(a(s)).\nAnswer: 540*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b - 5*q - 127 = 0, 2*b - 4*q + 58 = -2*q. Let c = b + 30. What is the nearest to -2\/11 in c, -0.2, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*y = 22*y - 36. Suppose 25*k = y*k + 42. Solve -x - k*x + 3 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y\/y**43)\/y)\/(((y\/(y*y**(-22)))\/y*y)\/y))\/(y*y**(-18))**(-10) assuming y is positive.\nAnswer: y**(-234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cdh when three letters picked without replacement from {o: 1, b: 4, h: 2, c: 4, d: 1, t: 3}.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -407.31?  (a) -5  (b) -2  (c) -4  (d) -3.1  (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -88*k - 7716 + 7716 as s*k + b and give s.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-20)\/12*(0 + 5 + -14). Suppose 0 = -2*d + 5*w + 730, 0 = -16*d + n*d - 3*w + 343. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -822 + 868. What is the remainder when 93 is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*n + 4*q - 14, -15*n + 62*q - 35 = 57*q for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 2*b - 2*h + 62886 = 0, 0 = 3*b + h - 47163. List the prime factors of b.\nAnswer: 2, 3, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -411 + 4*q + 65 - 304 - 121 + q**4 - 3*q**4 - 3*q**3 to h*q**3 + m*q**2 + w*q + d*q**4 + i and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -13749*u**3 - 3*u**2 + u + 2. Let x be r(2). What is x rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from {x: 2, w: 3, s: 4}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*o - h + 135, 3*o + 4*h - 130 = 75. Suppose t - 3*r - r - 4 = 0, -3*t + o = -r. What is the least common multiple of t and 2?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -l - 4, 7*j + 3*l = 9*j - 2. Let u be (6\/j)\/(6\/(-20)). Solve 5*v + 19 = -u*q + 3*q, -v - 4*q = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (75\/45)\/(2\/6). What is the greatest common factor of 40 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 + 222 = -47*h + 59*h for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.1 and -110.71.\nAnswer: -110.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 19413*z. Let f(s) = 8*s**2 - 1. Calculate f(a(u)).\nAnswer: 3014916552*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 16\/(-96) - 4\/(-6). Let y = -5\/233 + -451\/699. What is the nearest to v in y, 2\/3, -2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 14.623 to 1 decimal place.\nAnswer: 14.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 - (-69)\/1518*-1738?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -123561230.64 - 3.\nAnswer: -123561233.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) be the third derivative of -m**7\/2520 - m**6\/72 + m**5\/15 + 13*m**4\/6 - 226*m**2. Let v(o) be the second derivative of u(o). What is v(-11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*d**2 + 3*d**3 + 8*d**3 - 2*d**3 + 2*d in the form k*d + f + x*d**3 + r*d**2 and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 5 + -4 + 7 + (18 - 31)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -868, -1743, -2618, -3493, -4368, -5243?\n\"Answer: -875*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5431.712 kilometers to micrometers.\nAnswer: 5431712000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -0*k - 5*k + 5*p, -5*p + 6 = -4*k. Let r be (-1450)\/(-12) + (-4 - -9). Let h = r - 126. What is the nearest to 0 in k, h, 0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -2*f**2 + 23*f - 6. Let p be n(11). Suppose 0 = -a + 4*v - 7*v + 51, 2*v + 306 = p*a. What is the lowest common multiple of 18 and a?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0 - -2. Let n(f) = 2*f - 2. Let y be n(q). Suppose -v - 4*x = 4*v - 80, y*v - 4 = 4*x. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -2*a. Let l(m) = 254*m. Calculate l(s(q)).\nAnswer: -508*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u = -5*w + 175, 0*w + 139 = 4*w + 3*u. Let m = w + -30. Solve -5*h + j - 5 - 6 = 0, 0 = -m*h - 3*j - 24 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (48\/2904*187)\/((33\/66)\/(11\/4))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + q + 2*q = -13, -10 = 3*p + 4*q. Let k(h) = -h - 1. Let r(s) = 3*s + 1. Let l(u) = p*r(u) - 5*k(u). What is l(7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -p**2 + 8*p + 13. Suppose -l + 5 + 4 = 0. Let f be b(l). Suppose f*z = -79 + 195. List the prime factors of z.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-15 + 15 - 4*o + (-10 + 7 - 7)*(2 - o - 2))*((-1 - 1 + 4)*(-2 - 1 + 2) + (2 - 3 + 0)*(-3 + 2 - 1) + 5 + 12 + 0).\nAnswer: 102*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (-68)\/17*((-4)\/6)\/((-120)\/(-315))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 29\/4683  (b) 0.06  (c) 0  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 455 is divided by 51.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3 + 3 + 2*q + (0 - 3 + 6)*(-4*q + 5*q + 2*q) + 3 - 5 + 59*q + 0 to the form s*q + x and give s.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 0 - 4 + (-3 + 2 - 1)*(-2 + 1 + 2))*(0*h**4 - 2*h**4 - h**4) to r*h**3 + s*h + k + y*h**4 + m*h**2 and give y.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4735707867.\nAnswer: 3, 11, 17, 2813849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -q**2 + 5*q + 5. Let w(v) = -3*v - 3. Suppose -18 = 3*h + x, 4*h + 35 = -6*x + x. Determine h*w(r) - 3*g(r).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1735894664 to the nearest integer?\nAnswer: 1202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kxzzzxdxdkkxixxkxi. Give prob of sequence ddk.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-107)\/(23005\/(-516))*(-15)\/(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.719 + 42.019. Let y = 41.27 - t. Put 1.6, 0.2, 5, y in descending order.\nAnswer: 5, 1.6, 0.2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -g**3 - 19*g**2 + 15*g - 64. Let j be i(-20). Let y be j\/(-30)*(-35)\/21. Solve 0 = -c - 2*z - 13, 5*z - y*z = 2*c - 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -56 - ((2 - -7) + -12 + 20 + -13)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 3e (base 16) to base 4\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 3 - -1b0b?\nAnswer: 1b12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0035009 to four dps.\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 16.29 - 16. Let x = -0.49 + h. Which is the closest to 1?  (a) -2  (b) -0.5  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3.42 + -26.78. Let i = 33 + s. Round i to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2*3 - (6 + -4). Suppose -h*q = q - 535. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 560 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6669 and 170586.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1 + -0.7. Let o = -114 - -111. What is the biggest value in 1, o, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.1062308 rounded to 2 decimal places?\nAnswer: 3.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3027139 is divided by 5157?\nAnswer: 5137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -161*r - 7004 = -4106 for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 184*l + 141*l - 3594 = 14931 for l.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 213129*q**3*y**4 - 6802*q**3*y + 2*q**3 - q*y**2 - 2*q*y + q wrt y?\nAnswer: 5115096*q**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 13 - 25. Let d = -2 + -1. Let m be (-12)\/d*(-9)\/c. Solve 2*k - m = -11 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7138, -13235, -19332?\nAnswer: -25429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -436665920 by -1.\nAnswer: 436665920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 8\/63 + -485\/2331. What is the biggest value in q, -1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -20 + 1222?\nAnswer: 1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -89 + 95 + 0 + -11.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -2*b**2 + 3*b - 2. Let g be d(3). Let i = g - -36. Calculate the remainder when i is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 + -4473.2.\nAnswer: -4473.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1132 - -24?\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 89353?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wvutuvwvvwvuvww. What is prob of sequence twu?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 71734?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - 304297.\nAnswer: -304297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 5\/4, -5, -0.5, -0.1, -0.3?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1579.\nAnswer: 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-6)\/63*(-6)\/1. Let u be (-2)\/16*-4*4. Suppose 0 + 2\/7*w**u + f*w = 0. Calculate w.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/11 != -4\/8068821?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 6883813326 to the nearest integer?\nAnswer: 1902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -320481 - 348?\nAnswer: -320829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*k + 10*k - 3094 = 0. Let j be 4\/14 - (-4249)\/49. Let f = k - j. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 8 - 1)*(-7784*p + 7*p**2 + 7784*p - 7*p**2 + 5702*p**4 - 19022*p**4) to j*p**2 + i*p**3 + r*p**4 + s*p + w and give r.\nAnswer: -53280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 937537\/607375 - 193\/125. Let j = w - -68056\/72885. Factor 32\/15*a**3 + 4\/15*a + 0 - j*a**4 - 22\/15*a**2.\nAnswer: -2*a*(a - 1)**2*(7*a - 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-14)\/(-4) - (-5)\/(-4)*14\/35. Solve 2*w = 4*w + 5*h + 22, 3*w + c*h = -15 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 45, 787, 2229, 4377, 7237, 10815?\nAnswer: 15117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 35 + -31. Let f(n) = -3*n**2 - 40*n + 37. Let q be f(-15). Which is the nearest to q?  (a) -1\/5  (b) 3  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1500 and 4?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4362 and 1280974.\nAnswer: 1454","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.4, -5, -4, 19345?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 935778331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 140 and 182?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s = 5*r + 2*s - 15, 3*s = -4*r - 7. Suppose -w = -r + 3. Let c be (w + 4)*(2 - -2). Solve -2*l = 4*q + 2*l + c, -4*q + 3 = -l for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -488212064*h**3 + 23032808*h**2 + 1 wrt h?\nAnswer: -2929272384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/49?  (a) 12  (b) 59  (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 8, 9, 10?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-4152)\/96)\/(1\/(-20)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ny when two letters picked without replacement from yrrnryrrrrryrrnrr?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = a + 1. Let b be o(3). Find the third derivative of 0*y**4 + 11*y**b - y**2 - y**4 - 4*y**2 wrt y.\nAnswer: 240*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -156*q**3 + 6*q**2 - 11*q + 1091746?\nAnswer: -468*q**2 + 12*q - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 205 + -9. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 5*s - 66. Let t = s - -21. Let a = t - 24. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) be the first derivative of -8*o**2 - 30*o - 251. Calculate the remainder when a(-5) is divided by 36.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*l = l + 35. Let b = l - 4. Let u(v) = -v + 1. Give u(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r = 9 + 3. Suppose m - 28 = -r*m. Suppose -2*i = -m - 3. Let p(g) = 2*g**3 + 5*g**2 - 5*g - 7. Let v(j) = j**2 - j - 1. Give i*v(a) - p(a).\nAnswer: -2*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 112*c - 8609 + 3793 for c.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -v**3 + 162*v**2 - v - 28 wrt v?\nAnswer: -6*v + 324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 26289 and 7038.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 93896126.\nAnswer: 2, 863, 54401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 575532 and 57816.\nAnswer: 12661704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -77873, -155533, -233193, -310853?\n\"Answer: -77660*n - 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6072.4 - 6072. What is the third smallest value in f, -0.08, -5, -3, 0?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 44.191 to one dp.\nAnswer: 44.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -2*p - 2. Let t = -14 + 16. Give c(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 573 less than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 266, 736, 1354, 2120, 3034?\n\"Answer: 74*z**2 + 248*z - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -18385 - 21?\nAnswer: -18416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 29703186 is divided by 456972?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + -1*(-2*sqrt(272) + 2 + sqrt(272) + -3 + -4)**2.\nAnswer: -295 - 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 2, -6, -46, -136, -294, -538, -886, -1356?\n\"Answer: -3*z**3 + 2*z**2 + 7*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -506 by -11.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is (28484 - -15)*1\/(2\/2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19253 + 12211 = 8*j. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -60 - -56. Let y(b) = b**2 + 6*b + 1. Calculate y(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -35 + 42. Let a = -4 + 12. Suppose -3*b = -x*b + a. Solve b*o + 14 = 3*l, 0 = o - 6*o + 4*l - 28 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.04, -3\/38, -0.2?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -43 divided by 101\nAnswer: -43\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 264 = -2*h, 646 = 4*h - 2*d + 94. Calculate the highest common divisor of h and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 76 minutes before 5:28 PM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -28da50 - 7?\nAnswer: -28da57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 81801203?\nAnswer: 11, 676043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 30 and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -10*k**4 + 6421*k**2 - 106*k - 131.\nAnswer: -120*k**2 + 12842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 34 - 54. Let u(j) = 19*j**2 + 51*j + 49. Is u(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 2*c**3 - 20*c**2 + 82*c - 576. Let q be k(9). Solve 2*a - 4*w = -10, -4*w = 2*a - q*a - 6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 159981?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 23e9 - -1bde?\nAnswer: 40d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 147\/(-735)*(25*-1)\/(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 3*c - 2*b + 2 = 0, 2*b = -5*c + 16. Let j be 1\/c*1*2. What is the derivative of j + 2*l + 1 - l wrt l?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 35328.60281 to the nearest 10.\nAnswer: 35330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-29)\/(-145)*10\/3. Suppose -380 = 6*v - 374. Which is the closest to 0.1?  (a) 6  (b) h  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (4\/(-2))\/((-2)\/466). Suppose m = 3*c - 311. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 72618, 72623, 72630, 72639, 72650, 72663, 72678?\n\"Answer: l**2 + 2*l + 72615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -z**2 + 246*z + 1004. Let m be y(-4). Solve 3*u = 2*d - 11, 10 - 14 = m*u for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 1, w: 3, c: 4, a: 5}. What is prob of picking 1 c and 1 w?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 10553, 23565, 36577, 49589, 62601?\n\"Answer: 13012*z - 2459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*y - 4*b + 16 = -2*y, 0 = -2*y - 4*b + 16. Solve -4*c + y*c + 16 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 87.6 rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1070 - 1085. Let y(q) = q**2 + 14*q - 17. What is y(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1000101110101110001010110110 + 11?\nAnswer: -1000101110101110001010110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/(-15)*130\/26.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 34\/5 of a micrometer?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 26897147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1401914520 and 696.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 41256302?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -0*s - 4*s, 5*y - 10*s = 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(68)\/(4*sqrt(2)))\/sqrt(2).\nAnswer: sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 56663272319 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -1511.264304 from -0.2.\nAnswer: 1511.064304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -4374830 rounded to the nearest 100000?\nAnswer: -4400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(304)*-2*5 - sqrt(304)))**2 - (sqrt(38)\/sqrt(2) + -3 + -4 + -2).\nAnswer: -sqrt(19) + 919609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = b**3 - 2*b**2 + 2*b - 1. Let n be a(1). Let p(c) = c**2 - 9*c + 12. Let j be p(8). Suppose -h = n, -k - 7 = -2*k + j*h. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 329670.\nAnswer: 2, 3, 5, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*s**2 - 15506*s - 211515?\nAnswer: 4*s - 15506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.2 + -0.2. Let z = 11.2 - i. Round z to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -z + 16. Let g be m(16). Is g less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-1090)\/(-436))\/((-5)\/(-4)). Put -2, q, 17, 5 in decreasing order.\nAnswer: 17, 5, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5855958 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 612a - -155?\nAnswer: 6283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -29*a**3 - 16*a**3 - 2 + 3 + 8 wrt a.\nAnswer: -135*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26 = -5*y + 84. Let v(p) = 6*p + 2. What is the lowest common multiple of y and v(2)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00001473824 to 7 dps.\nAnswer: 0.0000147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 + 42 + 34099\/(-645).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ohokdid. What is prob of sequence okd?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1675042097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = -14 + 2. Let s be w*((-10)\/(-9))\/(-5). Find y, given that s - 4\/3*y + 1\/3*y**2 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 5370 and 43635?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 51.7 - 54.7. Let i = 0 - -0.2. Sort 3\/2, t, i, 11 in ascending order.\nAnswer: t, i, 3\/2, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*c - 140*c - 107055 = 650*c - 43855 for c.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (1 + 3)\/(1 + -2). Suppose -t - 4 + 3 = 0, 244 = 2*w + 2*t. Calculate the common denominator of -99\/20 and (w\/108)\/(2\/q).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -161, -153, -137, -107, -57, 19, 127?\n\"Answer: k**3 - 2*k**2 + 7*k - 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 7 - 4. Let b be (-21)\/(-3) - q - -1. Solve 25 = -l - 2*g - 2*g, 3*l = 2*g - b for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 11*j**2 - j + 2*j**2 - 10*j - 1 - 3. Suppose -b + 5*b - 2*c = -12, -5*b - c - 15 = 0. List the prime factors of r(b).\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1339318 is divided by 786?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -w**2 + w + 4. Suppose -6*x + 16 = -2*x. Let y = x - 4. What are the prime factors of b(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 717 - 763. Let f be r\/(-8) + -2 - (-11)\/44. Put -3, 0, f, -110 in decreasing order.\nAnswer: f, 0, -3, -110","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 15206*f**3 + 15217*f**3 - 2 - 45642*f**3 + 15222*f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 11561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(99) + (sqrt(99) + 1 + 4 - sqrt(99)) - (3 + (sqrt(99) - (sqrt(99) + -1))))**2 + -2.\nAnswer: 6*sqrt(11) + 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 575*f - 603. What is the units digit of l(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0 - 0. Suppose n = b - 4*v + v - 31, 0 = 2*b - v - 62. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 508 and 62103.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -24, -27, -30, -33, -36?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = u**3 + 19*u**2 - 11*u - 9. What are the prime factors of z(-19)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = b. Let h(n) be the third derivative of -n**4\/24 - n**3\/6 + 4*n**2 + 6. What is 3*h(f) + 6*w(f)?\nAnswer: 3*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1194 + 1709. Suppose 4*d + c = 9*d. Suppose d + 37 = h. Is h a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = 4*x + 3*q, -5*x + x = -3*q + 15. What is the nearest to 2\/7 in -0.2, -1\/4, x, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-4)\/46 + 7 + (-220700)\/92. What is the smallest common multiple of v\/(-20) - (-6)\/15 and 16?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*b**2 - 231*b + 1278.\nAnswer: 3*(b - 71)*(b - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j**2 - 346567590*j + 10009091203200675 = 0. What is j?\nAnswer: 57761265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 3*x - 13. Let y(v) = 235963 - 235963 + 3*v. Give q(y(l)).\nAnswer: 9*l - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 22*m + 5. Let z be l(10). Suppose 0 = -2*p - 5*t + z, 2*p + 577 = 7*p - 2*t. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-4)\/30 + (-208)\/(-260). What is the biggest value in -2\/9, -0.3, 5, -3.5, a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:31 PM and 6:17 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 313 minutes after 10:14 PM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = a**3 + 32*a**2 + a + 39. Suppose -3*g - i = 94, -635*i + 633*i = 4*g + 124. What is x(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 5310 + -58?\nAnswer: 5241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3, 2\/9, 2\/1097, -18?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = o**3 - 50*o**2 - 3*o + 148. Calculate s(50).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 19.08 - 16.78. Let h = -2.6 + 0.9. Let g = h - v. Which is the second smallest value?  (a) 0  (b) g  (c) -3  (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -26 * -39075.\nAnswer: 1015950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) be the third derivative of -v**7\/126 - 61*v**6\/144 - 5*v**5\/8 - 5*v**4\/2 + 68*v**2. Let p(w) be the second derivative of c(w). Factor p(i).\nAnswer: -5*(i + 15)*(4*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 143, 558, 1307, 2438, 3999?\n\"Answer: 8*s**3 + 119*s**2 + 2*s + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 0.3, -3, -2, -34?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -154*o**5 + 298*o**5 - 207*o**5 + (-2 - 3 + 1)*(3*o**2 - 2*o**5 - 3*o**2) + (2 - 2*o - 2)*(2*o**4 + 0*o**4 + o**4).\nAnswer: -61*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 67*l - 502*l**2 + l**3 + 124*l**2 + 121*l**2 + 128*l**2 + 128*l**2 as h*l**2 + i*l**3 + u*l + j and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/42, 9, -23, -1120, -4.\nAnswer: -1120, -23, -4, 1\/42, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**(-3\/4)*n**(-4\/5))**(-20)*((n**(2\/3)*n*n*n)**(-4))**45 assuming n is positive.\nAnswer: n**(-649)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 24 = -5*h, -w - 2*h - 3 = -0*h. Sort 0.3, -0.1, w, 2\/9.\nAnswer: -0.1, 2\/9, 0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -u**2 + 3*u**2 + 0*u**2 + (-1 + 0 - 1)*(4*u**2 - 5*u**2 + 0*u**2) + 7*u**2 - 31*u**2 - 15*u**2 to the form q + x*u**2 + f*u and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -20, -42, -74, -122, -192?\n\"Answer: -g**3 + g**2 - 18*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:33 PM and 4:03 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40573*v + 246 = 40532*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 113 + -5?\nAnswer: 10c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = -3*d - 4. Suppose -4*n + 5*z = -47, -d*n + 7*n = 5*z + 55. Solve i = -3*i + n for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -z**3 + 6*z**2 - 5*z + 34. Let y be n(6). Suppose 2*b - 52 = -48. Solve -y*x + p + 5 = -b, -x + 1 = -p for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 11161, 22289, 33393, 44467, 55505?\nAnswer: 66501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 149 and -0.52?\nAnswer: -77.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1381 - -1385. Solve -r - 4 = x*i, -5*i - 30 = -25 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -56*g - 118. Determine c(-5).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/(g*g\/((g*(g\/((g*g\/((g**(-11)\/g)\/g*g)*g)\/g)*g)\/g)\/g)))\/((g**16*g)\/g*g) assuming g is positive.\nAnswer: g**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 991949 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + 0 - (-16 - -13).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i - 12 = -5*g, 20*i + 3*g = 16*i + 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.0572 and -1127447?\nAnswer: -64489.9684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 5*(-1)\/(-5)*-3. What is the third biggest value in r, 1.8, 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -76 + -29. Let l = z + 154. Suppose l = 2*r + u + 2*u, -25 = -5*u. Is r a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2343*o + 284453 = -2330*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor r**2\/6 + 5158031*r\/6 + 2579014.\nAnswer: (r + 3)*(r + 5158028)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -36 - -35. Let j(z) = -2*z + 4. Let s(q) = 1. Give w*j(u) + 4*s(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 less than or equal to -73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 46 + -40. Calculate the remainder when 13 is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5676 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*t**2 + 2*t**2 + 5*t**2 - 14*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -36.7583 rounded to 1 dp?\nAnswer: -36.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.07 times -0.4?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 124 + -124. Suppose h = 5*w + 2*c - 38, 3*c - 20 = -2*w + 7*c. Is w > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that -23*y**4 - y**3 + 23*y**2 + y = 0.\nAnswer: -1, -1\/23, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 916 is divided by 600.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Is 6376944889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -96966, -96964, -96962, -96960, -96958?\nAnswer: -96956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -9*-4385\nAnswer: 39465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 584 minutes after 11:44 AM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 8231, 16451, 24671, 32891?\n\"Answer: 8220*t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 23 - 9. Suppose 2*l = -6 + i. Suppose -l*w + 2*a + 119 = a, 4*a = -2*w + 64. Solve -4*m + 0*m = -2*x - w, 5*m + 5*x = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-14)\/(-63) + 560\/(-1872).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -187 - -186 - (-3)\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -18517*y + 407378. What is h(22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) be the first derivative of 2*x**5\/5 - 13*x**4\/2 - 176*x**3\/3 - 44*x**2 + 288*x - 7498. Let j(h) = 0. Calculate h.\nAnswer: -4, -2, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -81383, -80323, -78557, -76085, -72907, -69023?\n\"Answer: 353*t**2 + t - 81737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1 - -1 - 0)*1. Suppose 16 = 4*o - w*o. Let f = o - -7. Is f a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -98111 divided by -20\nAnswer: 98111\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 9495913*h**4 - 3*h**3 - 62692067*h?\nAnswer: 113950956*h**2 - 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -31?  (a) 0.1  (b) 0.01  (c) 1\/14  (d) 103\/39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/(-3))\/(45\/(-27))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 4 (base 9) to base 5\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = -20 - 0. Let v(u) = 4*u - 4. Determine v(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) 0.4  (b) -1\/2  (c) 2\/9  (d) -2.9  (e) 10654\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 5 = -307. Suppose 8*c + b = 9*c. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 8 - 2\/(-2)*-4. Suppose -8*i + 3*i - 4*d = -14504, b*i - 11595 = 5*d. What is i rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 43, 66, 123, 232, 411, 678, 1051, 1548?\nAnswer: 2187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -154*a. Let u(c) = -4357478*c. Give d(u(y)).\nAnswer: 671051612*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z + 2*l = -3*l + 20, -5*z - 3*l = -10. Let o = 3 + -4. Is z less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -8534*j*z**3 + 4*j*z**2 + 65*j*z + 909*j - z**2 wrt z?\nAnswer: -51204*j*z + 8*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 5 - 11*y + 7 - 13. Determine f(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 103*d**4 - 39*d**4 + 3*d + d**2 - 9*d**2. Let u(a) = -21*a**4 + 2*a**2 - a. Let i(r) = 2*o(r) + 7*u(r). What is the third derivative of i(m) wrt m?\nAnswer: -456*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -401 in 3\/8, -0.5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 19040 and 458.\nAnswer: 4360160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:54 PM and 10:25 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 33347395 to the power of 1\/3, to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m**(-1\/5)*m**3*m)\/((m\/(m*m**3*m))\/(m*m**1)) assuming m is positive.\nAnswer: m**(54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = x - 5*a - 107, a + 2*a + 447 = 5*x. Let i = x - 29. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1406 - -1405. What is the third biggest value in l, 1, -4, -81?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -40929, -40944, -40963, -40986?\n\"Answer: -2*j**2 - 9*j - 40918","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 678 minutes after 10:56 AM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 107\/417240 and 143\/12.\nAnswer: 417240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + ((-4)\/4 - (-3 + 2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 421141, 842637, 1264133, 1685629, 2107125, 2528621?\nAnswer: 2950117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 696 and 759072?\nAnswer: 22013088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-40)\/30*(-3)\/(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*c - 31 + 39. Let w(i) = -9*i**3 - 2*i**2 + 2*i - 1. Give w(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 3\/8 of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 50*p + 1. Let l be q(-2). Let d = l + 216. What is the remainder when d is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + ((sqrt(234) - (sqrt(234) + sqrt(234)*1)*1)\/(2*sqrt(900)))\/(-1*sqrt(32) + (sqrt(2) - sqrt(8)*-2)) + -4)**2.\nAnswer: 7*sqrt(13)\/10 + 19613\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -326*w**3 + 3*w**2 + 2*w - 1260 wrt w.\nAnswer: -1956*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -3*y**3 + 25*y**2 - 19*y - 5. Let k(a) = a - 3. Let t be k(5). Let n(v) = -4*v**3 + 24*v**2 - 18*v - 6. Let x(d) = t*o(d) - 3*n(d). Factor x(c).\nAnswer: 2*(c - 2)**2*(3*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 102\/(-154) - 43\/(-473).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -39*f**2 + 12*f**2 + 14*f**2 + 17*f**2. Let r(d) be the first derivative of 0*d**2 + 2\/3*d**3 + 0*d + 5. Calculate k(r(p)).\nAnswer: 16*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 299 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -k**2. Let s(v) be the third derivative of -v**5\/30 - 11*v**4\/24 - 11*v**2. Give g(s(j)).\nAnswer: -4*j**4 - 44*j**3 - 121*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -b - 9. Let o = -12.894 - -13. What is the second biggest value in -5, o, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-u - 3*u - 2*u)*(8 + 13 + 1 + 1)*(-2 + 1 + 7) in the form q*u + p and give q.\nAnswer: -828","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Add -4955809868427 and 0.6.\nAnswer: -4955809868426.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 1, u: 2, t: 8, a: 1, o: 2, m: 3}. Give prob of picking 1 t and 1 j.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.02 or -440457?\nAnswer: -440457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 97\/110 and -179\/68970?\nAnswer: 68970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 19.26839523 + -0.26832423. Let k = c - 19. What is k rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2.13 + 2.35. Let q = -5.12 + 5. Let w = s + q. Is w > -0.07?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*h - 7 - 53. Let k(u) = -2*u**3 + 20*u**2 + 14*u - 21. Is k(h) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -290.63 rounded to the nearest integer?\nAnswer: -291","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 - (0 - (-17 - -10)) - ((15 - 10) + -138)?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*j\/j**(-20)*j)\/(j**(-3)*j*j))\/(j**(-1\/16)\/(j**34*j)) assuming j is positive.\nAnswer: j**(945\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 129*l**2 + 146*l**2 - 270*l**2.\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 238 * 2\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 10589 - 10035. Does 10 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:11 AM and 4:21 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*b - 732 = -0*b. What is the second derivative of -b*l**5 + 12*l - 46*l**5 + 135*l**5 wrt l?\nAnswer: 560*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.284 + 0.184. Let b = -2833 - -2832.90172. Let z = r - b. What is z rounded to four decimal places?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 1517, 3053, 4589, 6125, 7661, 9197?\n\"Answer: 1536*k - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from jwbjwbjj.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*k**2 + k**4 - 7*k**3 + 1 + 0*k**2 - 21*k**3 - 14*k + 14*k as l*k + f + a*k**3 + w*k**4 + r*k**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -8*a - 14. Let q(s) = -3*s - 11. Let m(x) = -6*x - 25. Let v(c) = 2*m(c) - 5*q(c). What is -11*v(h) - 4*y(h)?\nAnswer: -h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*r**2 - 3*r**2 + 4*r**2 + (4815 - 7807*r - 4815)*(r - 4*r + 4*r) in the form p*r**2 + l + y*r and give p.\nAnswer: -7809","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 3*t**3 + 38*t**2 + 4*t + 1063. Let n(z) = 2*z**3 + 31*z**2 + 3*z + 1062. What is 4*c(v) - 5*n(v)?\nAnswer: 2*v**3 - 3*v**2 + v - 1058","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 241861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 3*b. Let u(f) = -16767*f**2. Give u(d(k)).\nAnswer: -150903*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6439, -12879, -19319, -25759, -32199?\nAnswer: -38639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 248239.62ms?\nAnswer: 0.06895545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -21 (base 4) to base 5.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 225379849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6 + -2. Does 11 divide ((-222 - -2)\/l)\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 59 - 59.0000066. Round h to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5812 times 1\nAnswer: -5812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*l**4\/7 + 9*l**3\/7 + 3*l**2\/7 - 9*l\/7 - 6\/7.\nAnswer: 3*(l - 1)*(l + 1)**2*(l + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -10*a**3*o**2 - 369*a**3 + 21*a*o**2 with respect to o.\nAnswer: -20*a**3*o + 42*a*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 + -1 - 1) + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 544 is divided by 109?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -404\/27 + 1687\/135. What is the common denominator of 59\/2 and a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 3, w: 3, k: 4, l: 2, z: 4, r: 1}. Give prob of sequence ddzr.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -12, 1\/11, 5 in increasing order.\nAnswer: -12, 1\/11, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*j + 6 - 4. Let i be j\/(-6) - 46\/(-12). Solve -4*z + i*b = 24, -2*b = 4*z - 3*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -56\/305 + -1\/61. What is the closest to 0.2 in 4, 2\/11, z?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1004 and 26857?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 212246759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 74421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) be the second derivative of 3\/2*y**2 + 0 + 1\/30*y**5 - 1\/8*y**4 + 0*y**3 - 6*y. Let q(t) be the first derivative of s(t). What is q(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.176237 to 3 decimal places.\nAnswer: 0.176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*z**2\/4 - 968568*z - 1937139.\nAnswer: 3*(z - 1291426)*(z + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1.1 - -2.1. Let i = 2144\/9 + -238. Which is the second biggest value?  (a) i  (b) y  (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = 3*y + 39, -2*y = 5*t - t + 176. Let z be 18\/(-135) - (5136\/t + -3). What is the highest common divisor of z and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 - (2 - 13) - (26 + -13 + -15).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -2150146 divided by 2?\nAnswer: -1075073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 462932 divided by -244?\nAnswer: -115733\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -317 + 71 = -129*i + 4079 + 2641 for i.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7983.381kg to grams.\nAnswer: 7983381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 1054*y + 7388. Give v(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 65 (base 15) to base 9\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*m - 2*m - 2*m)*(55 - 14*m - 55) + 2 + m**2 - 3 + 0*m**2 to d*m + t*m**2 + v and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(-2\/3)\/o*o)**(-11))**26 assuming o is positive.\nAnswer: o**(572\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) be the third derivative of -w**6\/120 + w**5\/15 + 7*w**4\/24 - 5*w**3\/6 - w**2. Suppose -3*i - 20 = -7*i. Calculate m(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*j = 27 + 15. Let g(z) = 18*z - 40*z + 23*z + 3. Let c be g(4). Is c < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(3 + 1 + sqrt(7) + sqrt(7) + -1)**2 - ((sqrt(5103) + sqrt(5103) + sqrt(5103) + 2 + sqrt(5103))**2 + 0).\nAnswer: -81615 - 420*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 1, s: 2, y: 1, h: 2, c: 1}. What is prob of sequence hchv?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -322333 - 24411?\nAnswer: -351144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/12)\/(-5 + (1530\/(-756) - -7))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 10*g**2 - 80*g + 5. Give t(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 101111000 (base 2) to base 3.\nAnswer: 111221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 54 - 269. What is the units digit of -3 + y\/(-15)*3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 8, x: 6, i: 1}. Give prob of sequence rxr.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 279199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 130326 and 179118.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 281994431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -6 - 466935?\nAnswer: -466940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-3)\/(z\/z**(-2\/3)))**(-1\/5)*z**(-3)\/(z*((z\/(z\/(z\/(z**6\/z)*z))*z)\/z)\/z)*((z*z**4)\/z)\/z*z**(2\/3)*z assuming z is positive.\nAnswer: z**(28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1177184 and 1250758?\nAnswer: 20012128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -80839819 or -242519461\/3?\nAnswer: -242519461\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 130231310 (base 4) to base 14.\nAnswer: 30c16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 56*n**6 + 7*n**5 + 5113*n**3 - 23774692*n**2 wrt n?\nAnswer: 6720*n**3 + 420*n**2 + 30678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 261*k + 227*k - 152*k.\nAnswer: 336*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2519649.676 - -2519861.6760382. Let q = -212 + f. Round q to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 2*d**3 - 6*d**2 - 41*d + 209. Determine o(8).\nAnswer: 521","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2334326 divided by -80494?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 261036585?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*q**4 + 1770*q**3 - 22030*q**2 - 29850*q - 6058 = 0 for q.\nAnswer: -233, -1, -1\/4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-6)\/18)\/(-2*(-2)\/60). Let u(i) = -7*i - 29. Let h(w) = 3*w + 15. Let t(y) = 7*h(y) + 4*u(y). Is t(k) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*a - 5*r - 4791525, 2874917 = 3*a + 2*r - 3*r. Let m = a + -388306. What is m rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3.55, 43, -1\/11, -1\/7, -4?\nAnswer: -3.55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1942*k - 1944*k - 1940*k + 11656*k - 1940*k - 1947*k - 1941*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -r - 0 + 6. Suppose 3 = -4*v - 13. Let o = r + v. Calculate the smallest common multiple of 8 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = 6, 0 = 5*o - 7*o + 2*c + 130. Let a = o + -67. Solve -u - u = a for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 3 t when four letters picked without replacement from {n: 2, k: 1, i: 8, t: 5, e: 2}.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 114*i**2 - 14*i + 53. Is k(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 624*l**2*w + l*w**2 - 754*w**2 with respect to l.\nAnswer: 1248*l*w + w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = 2 - 6. Suppose 0*w + w + 3 = -2*v, o*w + 15 = -5*v. Let j(x) = -18*x + 112. Let u(k) = -6*k + 42. Let r(f) = -3*j(f) + 8*u(f). What is r(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + a - 3)*(88*a**3 - 83*a**3 - 212*a**3) + (a - a + 2*a)*(-a**3 + 0*a**2 + 0*a**2).\nAnswer: -209*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1100)*-1 + 0 + sqrt(539).\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3 - -1354. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = i. Let g(h) = -7*h - 6. Let u(p) = g(p) + 5*q(p). Let y be u(-4). Suppose 2*a - 4 = -y. Are 1 and a non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = -i + 10. Calculate the remainder when 138\/8 + 7\/(-28) is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3 - -2. Let t = 1387.4 - 1387. What is the fourth smallest value in t, -0.4, 0.5, s?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -5 - 10*o + 4 - 1 - 9*o**2 + o**3 + 0. Let w be g(7). Let c = 245 + w. Is c a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n - 3 = 3*a, -9*n + 7*n = -5*a - 33 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-42)\/126)\/(2\/(-54)) + 13.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10058712 is divided by 279407?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1\/(1 + (-1 - (4 + -5))). Put -1, 8, -5, j in decreasing order.\nAnswer: 8, j, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.045 - 0.04. Let g = d + 0.024. What is g rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 356673, 357006, 357339, 357672, 358005?\nAnswer: 358338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1103003 - 12?\nAnswer: 1102331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) be the second derivative of -7*c**3\/6 - 3*c**2\/2 + c. Does 18 divide h(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve t + 3*f = -11, -4*t + f + 21 = -0*f for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/11 in -2, -3\/7, -3, 1, 2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 73\/21 and 143\/7324344?\nAnswer: 51270408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) be the second derivative of 0*o**2 + 0 + 1\/10*o**5 + 7\/6*o**3 + 0*o**4 - 2*o. What is the second derivative of r(n) wrt n?\nAnswer: 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(7) + ((1 + sqrt(700) - sqrt(700))**2 - sqrt(7) - sqrt(7)) + sqrt(28) + -2).\nAnswer: -2*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 49 + -48.83. Let q = 0.07 - h. Is q < 67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 times 8.735?\nAnswer: -1.747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -606999\/13 + 46693. Find c such that x*c + 2\/13 - 10\/13*c**3 - 2\/13*c**2 = 0.\nAnswer: -1, -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 16\/(-14) + (-8 - -22 - 14). Which is the second smallest value?  (a) 3  (b) 9  (c) h  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((0\/(-3))\/((-2)\/(-1)))\/(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 697330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2195 - -2440. Calculate the remainder when q is divided by 63.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -20*z**4 + 15*z**2 - 2*z. Let o(b) = b**4 + 54*b**2 - 3*b - 39*b**2 - 20*b**4. Let d(w) = 2*o(w) - 3*t(w). Find the third derivative of d(v) wrt v.\nAnswer: 528*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -159018*f**5 - 3120914*f**4\/11 + 12484836*f**3\/11 + 1507656*f**2\/11 - 16*f = 0. Calculate f.\nAnswer: -11\/3, -2\/17, 0, 2\/17149, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -90, 105, 592, 1503, 2970?\nAnswer: 5125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -8.06 - -8. Let p = -0.24 + f. Let l = p - 0.2. What is the biggest value in -3, l, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -3596.867 to the nearest integer.\nAnswer: -3597","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = 4*k + 328, 3*k - 141 = -5*l + 396. Let d(p) = -14*p. Let h be d(-8). Let u = h - l. What is the greatest common divisor of u and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31038 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-x + 4*x + 2*x)*(-x**2 - 2*x + 2*x**2 - 5*x**3 - 7*x**3).\nAnswer: -60*x**4 + 5*x**3 - 10*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 499711 is divided by 61.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 132 + 100. Let o = 5 - 5. Suppose 2*f - n - 121 = -4*n, o = 4*f + 4*n - i. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2*r - 3 + 3)*(4 + 0 - 3) + 2*r + 2*r + 2 - 3*r)*(2*r - r + r).\nAnswer: -2*r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -5 + 3*b + b + 0 + 1. Give i(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t, 2 a, and 1 u when four letters picked without replacement from tauuatattt.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(168) + sqrt(168) + -1*sqrt(168))\/(sqrt(600)*-3))**2.\nAnswer: 7\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 6859590 to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -8035*w**3 + 2*w. Let r be i(-3). Let c = r - 366939. Round c to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -c**3 - 31*c**2 - 58*c + 4. Let l be m(-29). Does -7 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -14*a**2 - 1149*a - 83. Let p be h(-82). Let d(m) = -5*m**3 + m**2 - 6*m - 6. Give d(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 320 minutes after 2:14 PM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*n = -3*n. Suppose j + n - 2 = 0. Find the first derivative of u**j - 3 + 5 - 4 wrt u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -155.54032 rounded to 2 dps?\nAnswer: -155.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10*(-7)\/(-175))\/((-20)\/50).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -460*w + 466*w. Suppose 4 = 2*p + m, -m = 5*p - 1 - 3. Let g(k) = p - 2*k - w - 2 + 0*k. Determine g(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/48 + (-44835)\/(-2352).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -6.03 equal to 2\/49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 times 18.8?\nAnswer: 7.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v, 1 h, and 1 l when three letters picked without replacement from algogvgoohhhll.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 2465557402 a multiple of 154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 599\/788 - 2\/197. What is the nearest to i in -3, 9, 0.3, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-221)\/455 - 1\/(-5))\/(54\/(-108)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -w**3 - 6*w**2 + 17*w + 10. Let v be c(-8). Let q(u) = -2 + 2 + 166*u - 1. Is q(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 30*m = -99. Solve -5*f = -4*f + m for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 89699?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 884887850?\nAnswer: 2, 5, 7, 11, 229841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -85\/32 and 33\/16?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -22 - -36. What is the remainder when 67 is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*c**2 - 105*c**3 + 108*c**3 - 3*c - 6*c + 3*c**2 in the form u + a*c**2 + v*c**3 + h*c and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3164*f**4 - 4*f**2 + 2*f + 90785 wrt f?\nAnswer: -37968*f**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = -3*o - 25. Let m = o + 5. Suppose -2*g + g + 7 = m. Does 7 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 55ba42 (base 13) in base 9?\nAnswer: 3726021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -27*(-14)\/1260*1.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 120132132 (base 4) in base 11?\nAnswer: 69360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence az when two letters picked without replacement from {a: 8, z: 3}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) be the second derivative of y**6\/1800 + y**5\/150 + y**4\/30 + 17*y**3\/3 + 9*y. Let v(j) be the second derivative of h(j). Solve v(r) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a - 5*b + 21 = -4*a, 3*a - b - 7 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18301715?\nAnswer: 5, 3660343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/((2\/15)\/(45\/(6750\/(-240)))).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 19\/680 and -103\/136?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 3523*o**2 - 53*o - 3. Is q(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -111470000 to the nearest 1000000.\nAnswer: -111000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -51*c + 30*c - 132*c.\nAnswer: -153*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out -47949 * 2.8.\nAnswer: -134257.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide 10487 by 15.\nAnswer: 10487\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -708 (base 11) to base 15.\nAnswer: -3c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -380*v + 14412. What is j(38)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 91\/2 of a milligram?\nAnswer: 45500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20*n**2 - 34*n**2 + 22*n**2.\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -34980*o - 174969. Calculate j(-5).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -112 (base 3) to base 16\nAnswer: -e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-136) + (-245657)\/(-3701036).\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0001818515 to 6 dps.\nAnswer: -0.000182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1388587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 32829899?\nAnswer: 31, 1059029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*c + 70021368*c**2 + 3*c - 70021041*c**2.\nAnswer: 327*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 100020000 (base 3) to base 6\nAnswer: 51043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 58 + -30. Let r(k) = k**2 - 2*k + 82. Let n be r(0). Suppose j - n = -g. Does 27 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -84.6 + -7\nAnswer: -91.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 18*j**3 - 16*j**3 - 10*j**3 + 49*j**3 - 1313 + 228*j**3 wrt j?\nAnswer: 807*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 8165 and 28378435?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 5 - 1 = 0. Let m(n) = -n**2 + 6*n - 2. Calculate m(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 214 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.0601, 739, 0 in ascending order.\nAnswer: -0.0601, 0, 739","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a**(1\/20))\/(a\/(a*a\/(a**2*a)*a))*a**(3\/11)\/(a**(4\/11)\/a*a) assuming a is positive.\nAnswer: a**(-9\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*j - 12 = 140 + 602 for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -228*o - 9. Let i be w(-2). Suppose 105 = 9*a + i. What are the prime factors of 34\/(a\/14 + 3)?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2214 (base 7) to base 9\nAnswer: -1073","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 571 is divided by 136?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 + 11 + (-20 - -12).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 0, 0.045, -7995, -2\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -76209 less than or equal to -2591121\/34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*y = -9*y + 12. Let n be 12\/(-2)*(y + -7). Solve -2*h - 2*h - 12 = 2*d, 5*d - n = 2*h for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -6*o + 10. Let h be u(5). Let n be (40*h)\/((-2)\/105). Round n to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.15003 + 0.15. Round y to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by -5740840.\nAnswer: -3\/5740840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 3*1*8\/(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 24915 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -1617057 times 0.3\nAnswer: -485117.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21550 = 831*n + 10028 for n.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -342 + 332 - ((-19 + 13 - -52) + (0 - -3))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(-5)\/c**(-2)*(c*c**2)**48*((c**0)**(-15))**(-13\/6) assuming c is positive.\nAnswer: c**141","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 2*z**2 + 6*z + z**2 + 0*z**2 + 4. Is i(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -75*s + 152*s = 924 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1557\/2 + -739. Let j = 24 - 43. Find the common denominator of (-1)\/(-4) - j\/12 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7608131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1.5 - 1.4. Let x = -3883.7 - -3884. Put x, n, -2, 4\/3 in decreasing order.\nAnswer: 4\/3, x, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 12\/8*1*(1 + 1). Solve 0 = -f*v - 4*j - 9, -2*v = -4*v - 3*j - 7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (12*y**2 - 14 + 14)*(11*y + 5*y + 11*y)*(3*y + 0*y - y)*(-2 + 2*y + 2).\nAnswer: 1296*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 691191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 10704, 20899, 31094?\n\"Answer: 10195*q + 509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -8.16498393 to 3 decimal places.\nAnswer: -8.165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + 5 + -8 + -5 + 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k = 3*q + 15 + 7, -4*k = -q - 19. Suppose 0 = k*j + 2 - 17, 3*b = 5*j + 18. Solve -19 = -5*c - 2*s, -4*s + 4 = -5*c + b for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/4, -0.02, -115.3, -0.4 in increasing order.\nAnswer: -115.3, -0.4, -0.02, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*i + 2*w + 12, -5*w = 5*i - 4*w - 9 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 7*o**3 + o**2 + 2*o + 1. Let s be y(-1). Let c = -21941 - -21941.4. What is the third biggest value in c, s, 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 17 divided by 2463\nAnswer: 17\/2463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -37*r**2 - 2*r + 8. Let u(c) = -74*c**2 - 3*c + 17. Let b(l) = -9*o(l) + 4*u(l). Is b(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4135 - 4135) + ((-2)\/(-50))\/((-6)\/(-15)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*j - 15*j + 1088 = -20*j. What is the greatest common divisor of 3184 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ugog when four letters picked without replacement from cjupoooogoogguoo?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -5  (b) 1\/10  (c) 26\/3  (d) -1\/5  (e) 2\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-2\/5)*((p\/p**(-11\/5))\/p)\/p)\/(p\/(p**(-7)\/p))**45 assuming p is positive.\nAnswer: p**(-2021\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -5.9 + 3.3. Let p = 0.4 - d. Let u = p - 4. Which is the closest to u?  (a) -5  (b) -0.1  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 278 + -131. Suppose -2*j = 3 - x. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a + 27 = -5*l, -3*a - 17 + 20 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 1, i: 1, k: 1}. What is prob of sequence ki?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-26)\/(-143))\/(126\/39501)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ffff when four letters picked without replacement from ffffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 445 divide 32998530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Let z(p) be the second derivative of -p**5\/5 - 2*p**4\/3 - 2*p**3\/3 - 6*p. Factor z(x).\nAnswer: -4*x*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 743*k**2 - 2*k + 3. Let t be f(2). Suppose 0 = -0*p + 3*p. Suppose -5*l + 329 + t = p. Round l to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 150\/211 - 24677\/2954. Let i = 2193 - 10921\/5. Let j = 267\/10 + i. What is the common denominator of j and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29019293929 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -1861768 + 10\nAnswer: -1861758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 3*l - 213 = 0, 5*l + 4 + 1 = 0. Suppose -v + 12 = -6*s. Suppose 6*g = -5*x + 2*g - 17, s*x + g = -8. Is -2\/49 greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -674*t - 4612 - 4659 = 11623 for t.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12 - (-3 + 32)) + -3?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -17 + 18. What is the closest to -1\/3 in 4, 1\/8, u?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3298 is divided by ((-6943)\/(-786) - 2\/4*1)*12?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -2 + -9 + 2 - -4. Sort -4, -15, -3, w.\nAnswer: -15, w, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 2*n = -0*n - 1627, 0 = -n - 1. Calculate the greatest common divisor of 25 and b.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 135200 a multiple of 200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b = 5*b - 25. Let z(x) = -x**3 + 7*x**2 - 7*x - 1. Let a be z(b). Suppose n = -t - 2*n + 4, t - 2*n = a. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = -4*l + 5*r, -5*r = l - 318 + 284. What is the remainder when l is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/1012371 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide 52194 by -1.\nAnswer: -52194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -j**2 + 4*j + 3. Let d be p(9). Let w = 153 + d. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4\/591605 or 1?\nAnswer: 4\/591605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*s = -22*s + 31. Suppose -4*d - 5 = 3. Put d, s, 7 in decreasing order.\nAnswer: 7, s, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -22969*s*v - 2*s - 44527*v wrt s?\nAnswer: -22969*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) be the second derivative of -y**5\/130 + 11*y**4\/13 + 45*y**3\/13 + 68*y**2\/13 - 265*y. Factor g(q).\nAnswer: -2*(q - 68)*(q + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -9, 40, 121, 234, 379?\n\"Answer: 16*c**2 + c - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -p + 54*p**2 - 98*p**2 + 50*p - p**3 + 44*p**2.\nAnswer: -p**3 + 49*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) be the second derivative of -f**6\/3 - 4*f**3\/3 + 8*f. What is the second derivative of y(u) wrt u?\nAnswer: -120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -302104 = 15*l - 301924 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = i**2 + 9*i - 1. Let q = -4 + 2. Let p be 9*-1*(q - -3). Let y be h(p). Which is the closest to 0.1?  (a) -1\/7  (b) y  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -163*y + 115*y**2 - 4*y**3 - 229*y**2 + 113*y**2 + 2 in the form g*y**2 + q*y + i*y**3 + b and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2 + -12032056?\nAnswer: -12032060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -8, 0.5, 190, -0.2, -513?\nAnswer: 190","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23 = 2*w + h - 39, 4*w - 116 = 2*h. Calculate the remainder when w is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-80)\/6*6\/(-2). Suppose 0 = -4*i + 9*i - u. Which is bigger: i or 2\/9?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 2 - 15 = i, -2*c = -10. Let v be i\/(-4 - 28\/(-8)). Solve -m = v*m - 15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1 - -8)*-5 + 1)*1238\/(-2476)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-10)\/2 + (-13)\/(-2))\/(-3)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Add 40.91331660176 and -82.\nAnswer: -41.08668339824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 20718736?\nAnswer: 2, 101, 12821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:21 PM and 8:35 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 523 + 259. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3496\/(-690)*-33*12\/(-528)?\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1412.30008 - -1412. Let u = -0.3 - w. What is u rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.7, 5, -5, -156646 in descending order.\nAnswer: 5, -0.7, -5, -156646","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -24*g + 45*g - 2688. What is the remainder when g is divided by 44?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 39, -6, 3, -3, -8, -2.\nAnswer: -8, -6, -3, -2, 3, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 507092 is divided by 163?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = f**3 + 21*f**2 - 48*f - 52. Let d be l(-21). Let c = -923 + d. Calculate the highest common factor of 528 and c.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 16*c - 14. Let v be w(-5). What is the remainder when 75 is divided by (v\/(-8) + -7)*4?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 742  (b) -4\/7  (c) -1\/183\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*y**2 - 4*y**2 - 4*y**2 + (5*y - y - 2*y)*(0 + 0 + y) + 0*y**2 + 0*y**2 + 2*y**2)*(-16262 - 75*y + 16262 + 9*y**2).\nAnswer: -9*y**4 + 75*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -13?  (a) -3  (b) -4  (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -a**5 + a**4 - a**3 - a**2 + a + 1. Let c(k) = -7*k**5 + 3*k**4 + 5*k**3 - 3*k**2 - 4*k + 6. Let b(w) = c(w) - 6*f(w). Suppose b(t) = 0. What is t?\nAnswer: -5, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 24 = 34. Solve k*h - 14*h + 16 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -37*a**3 - 11*a**2 - 11*a + 20. Let w(g) = -12*g**3 - 4*g**2 - 4*g + 7. Let k(j) = 6*v(j) - 17*w(j). What are the prime factors of k(-1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 86 + -83. Solve -t = m, -l*m = -4*t + 2*t - 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2.8 - 2.2. Suppose -5*y + 2*l = 12, 5*l - 4 = l. What is the closest to -2\/9 in h, y, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2809 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (134 - 139)*(2*1 - (2 + -1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -t**3 - 452871*t**4 - 4*t**2 + 452868*t**4 - 2*t**3 + 4 + 2*t in the form p*t**2 + q*t + b*t**3 + z*t**4 + o and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -n**3 + 0*n**2 - 56 + 4*n**2 + 62 - 2*n**4 in the form a + z*n**2 + w*n + m*n**4 + h*n**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 785659 is divided by 513?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 7b97 + -3?\nAnswer: 7b94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 7*w + 9. Let k(b) = 36*b**2 + 20*b**2 - 54*b**2. Give k(c(u)).\nAnswer: 98*u**2 + 252*u + 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f = -2*i + 86, -175 = -4*i + i + 4*f. Let c = 28 - i. Let n be (-3)\/5*2\/(10\/c). Solve -8 = -n*g - g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(65) + ((sqrt(65) - sqrt(65)*-1) + sqrt(65) - sqrt(65))*5 + -2*sqrt(65)*5)\/(sqrt(720) - 2*(sqrt(720) + 2*sqrt(720) + sqrt(720) + sqrt(720))).\nAnswer: -sqrt(13)\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) be the third derivative of 121*s**4\/24 + s**3\/3 + 12*s**2. Let i be z(1). Suppose -i*x + 124*x = 51. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -f**2 - 62*f - 49. Let t be c(-28). Let x = t - 626. List the prime factors of x.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 3854*x + 10025. What is the tens digit of v(10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-4)\/16)\/(5 - 17\/4). Let m = -0.4 - -5.4. Which is the closest to 0?  (a) -0.5  (b) m  (c) 0.1  (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -300 + 291. Let d(y) be the second derivative of -y**4\/12 - 4*y**3\/3 + y**2 - 11*y. Determine d(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30 = 5*s + 3*x, 6*x = -s + 5*x + 8 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -17*m**4 + 10*m**4 + 3 - 1 - 6*m**4 + 5*m**4 + 0*m**4 + (-m**2 + 4*m**2 - 2*m**2)*(m**2 - 5*m**2 + 2*m**2).\nAnswer: -10*m**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -17 + 7. Let r be (-5)\/3*2\/u. Suppose 0 = 4*j - 0 + 20. Which is the nearest to r?  (a) -0.1  (b) 5  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = i**3 - 5*i**2 - 5*i - 5. Let b be c(6). What is the lowest common multiple of (-1 - 4)\/(b\/(-2)) and 3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -81 divided by 273\nAnswer: -27\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 5 + a6?\nAnswer: ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) be the second derivative of -y**5\/20 + y**4\/12 + y**3\/6 - y**2 + y. Suppose x = -3*m - 9, -3*x + 4*m = 2*m - 6. Let k = x - 2. Calculate o(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4*-5*(-207)\/42 - ((-171)\/7 - -25).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2566  (b) 0  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -1195 < -1199?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 61*m - 115*m - 2)*(-5 + 1 + 2).\nAnswer: 352*m + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (384\/(-34))\/4*(-277304)\/12234\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c - d = -2, 0 = -c - 1537*d + 1542*d - 28 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*t + 30 = 21. Suppose 0*c + 4*q + 43 = -3*c, 3*c - 3*q = -15. Let f be 6\/70*6\/c. Is t at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(3\/10))**(6\/11)*h**(1\/8)*h**(-7))**(-1) assuming h is positive.\nAnswer: h**(2953\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -16554681*h**3*l**2 + 792*h - 1191*l**2 + l wrt h?\nAnswer: -99328086*h*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 - 4) + (-4 - 7 - -9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = u + 5. Let q(r) = r**2 - 7*r + 3. Let o be q(7). Suppose 4*b = d + 3*b + 5, 0 = -o*d + 2*b - 17. Let y be (d + 2)*(0 - -1). What is m(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - -6 - (31 - 30)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*f + 2*f - 2*f + 1.\nAnswer: -6*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 43*f**2 + 4*f + 81. Let w(j) = 28*j. Give w(t(m)).\nAnswer: 1204*m**2 + 112*m + 2268","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.6404382 hours to milliseconds.\nAnswer: 2305577.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 671758187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 133, 141, 153, 169, 189, 213, 241?\n\"Answer: 2*a**2 + 2*a + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.05819 + -2378412?\nAnswer: -2378402.94181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1407 + 1403. Let g be (-10)\/24 - (-2)\/(-8). What is the second smallest value in g, 2, o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 204 and 60?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 3 + 6*k + 7 + 1.\nAnswer: 6*k + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 29 times -5787\nAnswer: -167823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/2 in -4\/7, -186, -4904, 0?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4089 and 282.\nAnswer: 8178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3143*c - 14*x - 7 = -3148*c, 2*c + 5*x = -29 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 3, g: 2, o: 3, s: 3, p: 2}. What is prob of picking 1 s and 1 o?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-14*c - 4*c - 11*c)*(13*c + 0*c + 5*c).\nAnswer: -522*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by 3609819\nAnswer: -5\/3609819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -51\/1364 and 79\/486?\nAnswer: 331452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 5 times -4727.49\nAnswer: -23637.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*p = q + 10*p + 20, 8 = -2*p for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1.8808 + 1.8808053036. Round j to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -f + 1. Let y be (3 - -3)\/2 - -2. Let d be s(y). Is 57\/(-2*d\/8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t + 452 = 9*t. Suppose x - 4*b - t = -4*x, 107 = 5*x - b. Let f = 41 - x. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 457*r**2 - 163*r + 21. What is c(1)?\nAnswer: 315","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7764*l**5 - 4225*l**4 + 139267088*l.\nAnswer: 155280*l**3 - 50700*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 r when two letters picked without replacement from {r: 1, q: 1, l: 2, k: 1, p: 2, w: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13367*g + 2223 = 6681*g + 6667*g for g.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24006.\nAnswer: 2, 3, 4001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.068 - 0.169891?\nAnswer: -0.237891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -39*h + 11 - 241*h - 11 + 278*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -182 + p + 44 + 44 - 12*p**2 + 96 to the form i*p + t*p**2 + h and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - (0 + -2 - -6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1 - 4\/5. Let i = 7 + -103\/15. What is the nearest to -0.2 in l, i, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 373 minutes before 8:06 AM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 35\/(((-20)\/(-6))\/(4\/3)). Suppose -v*h = 117 - 817. What is the least common multiple of 8 and h?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -34591*b**4 - 9*b**2 - 770*b.\nAnswer: -830184*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -86 - -85. Let m be (4 + -7)*x - -1. Suppose 4*g - g - m*r = 183, 5*g = -r + 282. What are the prime factors of g?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u + 83 = 63 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 8 = 2*d + 24, 0 = -4*d + 4*v - 8. Let w(j) = j - 4. Determine w(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -15*x - 17. Let o(y) = 5*y + 6. What is 4*g(t) + 11*o(t)?\nAnswer: -5*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -67, -237, -507, -877, -1347, -1917, -2587?\n\"Answer: -50*u**2 - 20*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -161802*d - 2912413. What is j(-18)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 - 7 = 5*u, -n - 4*u - 15 = 0. Suppose n*o - 40 = 3*o. Calculate the greatest common factor of o and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.19599 rounded to three dps?\nAnswer: 0.196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 845.416 to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 141 + (4 - 7) + (0 - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1948, 3887, 5822, 7753, 9680, 11603?\nAnswer: 13522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/(-6) + (-14)\/(-28)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -19*w + w - 144. What is the hundreds digit of 13\/(13\/(-522))*12\/w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 + 178 = t. What is the remainder when t is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -64*s**5 + 6*s**2 + 10*s - 14. Let i(c) = 64*c**5 - 7*c**2 - 12*c + 15. Let r(h) = -6*i(h) - 7*m(h). What is the second derivative of r(y) wrt y?\nAnswer: 1280*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*z**4\/7 + 60*z**3\/7 + 152*z**2\/7 + 96*z\/7.\nAnswer: 4*z*(z + 1)*(z + 2)*(z + 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 45\/8 of a kilogram?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 50 and 460.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -b - 6. Let l(f) = f**2 + 8*f + 8. Let o be l(-8). Let i(t) = -o*t - 5*t**2 + 6*t**2 - 2*t. Let z be i(10). What is q(z)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2805376 or 2805377?\nAnswer: 2805377","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2 - -3)*-3*(5 - 2). Which is the third biggest value?  (a) -0.1  (b) w  (c) -0.2  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13008000 rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -31  (b) 4  (c) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from eeeeqqeeqeeqeq?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-12)\/(-5))\/(4\/10). Suppose -8*s = -f*s. Is 287 - s*(-1)\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:50 AM and 4:12 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 43 - 39. Find o such that 135*o - 316 + 125*o**2 - 135*o**3 + 5*o**4 + 186 + 0*o**4 + 0*o**k = 0.\nAnswer: -1, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i = 2*i + s - 33, 35 = 5*i - 5*s. Let h(f) = f**2 + 9 - 8 + 10 - 11*f + 2. Let p be h(i). Solve -b = -p*b - 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.43*6.3\nAnswer: 2.709","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0, -1\/9, 4, -1, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3085 + -3156. Which is bigger: 18 or q?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 36 and 220?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2\/19, -5, 2\/13, -0.1, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2189213\/426 + 5139. Let y = -12\/71 + t. What is the nearest to y in -4\/5, -3, -5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5833 + -5523. What is the greatest common factor of 190 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -427000 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -1 - 5 + 2*c + 6*c - 3. Let i(m) = -13*m + 31. Let h be i(2). What are the prime factors of j(h)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1461 + q - 485 - 484 - 492.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) be the second derivative of 11\/6*j**4 + 0*j**3 + 0 + j - 9\/2*j**2. Is d(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*h - 1 + 1)*(2*h**2 - 2*h**2 - h**3 + (-h**2 + 3*h**2 + h**2)*(-h - 2*h + 2*h) - h**3 - 3*h**3 + 0*h**3) - 19*h**4 - 37*h**4 - 10*h**4.\nAnswer: -82*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 32 + 1 - (24\/(-15))\/(4\/(-20)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + 0 + sqrt(7) + (-2 + sqrt(112) + sqrt(112))**2.\nAnswer: -31*sqrt(7) + 447","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -q + 2. Let m be g(0). Solve 3*c - 5*c - 10 = -2*b, -5*c - 10 = -m*b for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -6 + 3. Let n be (j - (-33)\/9)*9. Let x(h) = 6*h - 3. Let d(f) = -f - 2. Let y(b) = -3. Let c(i) = -7*d(i) + 6*y(i). Give n*x(q) - 5*c(q).\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -75.442933 - -0.064933. What is c rounded to the nearest integer?\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x, 1 a, and 1 w when three letters picked without replacement from kxwvaxawxvxavwx.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 4997 = -2*g, -1669 = -23*u + 22*u + 4*g. Suppose -s + 11*d - 8*d + u = 0, 3309 = 2*s + d. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -397 - -396. Let y = 0.5 + -0.9. Which is the closest to -1?  (a) y  (b) -3  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence in when two letters picked without replacement from {z: 2, p: 2, i: 1, n: 3, f: 1, o: 3}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 5*s**2 + 12*s + 2. Let d be k(-14). Suppose 2*t = 13*t - d. What are the prime factors of t?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d = 3*c + 89 - 68, -3*d - 3*c = 12 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 106564 - s - 213139 + 5*s + 106575.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m**3 - 200*m**2 - 385*m - 190 = 0. Calculate m.\nAnswer: -38, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 7056464 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 7*m**2 + 2*m. Calculate d(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*h + 6996 = -1964. Is 891 greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -41*z**4 + 78*z**2 wrt z?\nAnswer: -984*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 304 + -6?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 less than or equal to 3\/294175219?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -6*t**2 - 1. Let f(y) be the third derivative of y**5\/12 - y**2. Suppose -4*a - 5*b = 37, -29 = -62*a + 61*a + 3*b. Give a*n(g) + 3*f(g).\nAnswer: 3*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand -64 - 1020*i - 1010*i + 2053*i + (0*i - 2*i + 4*i)*(5 + 1 - 2).\nAnswer: 31*i - 64","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 13 = -k, -5 = -4*m - 4*k - 1. Let z(o) = o**2 + 4*o + 4. What is z(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 115713.45 + 0.2.\nAnswer: 115713.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 37*d**2 - 1 - 15 + 18.\nAnswer: 37*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 180.0979ml in litres?\nAnswer: 0.1800979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7603, 7629, 7655, 7681?\nAnswer: 7707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 2*d**2 - 3)*(0 + 0 + 2*d**2)*(28*d + 3*d + 12*d).\nAnswer: -172*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7)\/(-98)*-4*1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-11)\/2*(-108)\/297?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -678.2895 to the nearest integer.\nAnswer: -678","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 772096 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -43*i - 269 - 32 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-h + 5 + 5*h - 5*h)*(2*h**2 + h**2 + 0*h**2).\nAnswer: -3*h**3 + 15*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -574600 to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -195*n**2 + 15*n - 21?\nAnswer: -390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4610*c**5 - 6*c**2 - 4*c - 44 wrt c.\nAnswer: -276600*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -14*n - 34 + 90. Suppose n*j - 776 = 2900. What is the hundreds digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 1 r when two letters picked without replacement from {r: 9, m: 7}.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 109626, 219005, 328386, 437769, 547154, 656541?\n\"Answer: s**2 + 109376*s + 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 2, a: 7, h: 6, p: 4, t: 1}. Give prob of picking 1 p, 1 h, and 1 m.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1, 15, 7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*v - 240 = -23*v for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.09654*-5541.\nAnswer: 534.92814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 5 - 35920808\nAnswer: -35920803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 71*q + 48*q - 654 = -208*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -4247 (base 8) in base 11?\nAnswer: -1734","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -4050800 to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4771.717 - 4774. What is p rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -2 and -167 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 102331392853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 362*n + 997. Calculate m(-3).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let -c**4\/2 - 91*c**3\/2 - 45*c**2 = 0. What is c?\nAnswer: -90, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 16*x - 64. Calculate the smallest common multiple of w(7) and (36\/(-7))\/(10\/(-70)).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -83\/185752 and 11\/4588?\nAnswer: 6872824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -72*u - 384 = -80*u. Let c be u\/(-108) - (-93)\/27. Solve -v = -5 + c for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 8 or -6091590?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-27 + 27 + 5*v**2)*(-5*v**3 + v**3 + 2*v**3) - 7*v**5 + 0*v**5 + 6*v**5.\nAnswer: -11*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 262 + 2357?\nAnswer: 2630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -2*s + 19. Suppose -29 = 4*w + 2*x + 43, -x = -w - 9. Determine g(w).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 950*u - 7061. What is s(7)?\nAnswer: -411","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -10*i + 13. Let x be (13 - 9)\/(3 - i). Does 7 divide -3 - (-12)\/(x - (-90)\/(-23))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 4 + 4)*(-4*i - 7 + 10*i - 8*i).\nAnswer: 6*i + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -13001 - -13103. What is the remainder when 405 is divided by x?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -q**2 - 3*q + 1. Let t(p) = 2*p**2 + 5*p - 2. Suppose -2*k + 4*d = 7*d + 12, -4*d - 17 = 3*k. Give k*t(i) - 5*x(i).\nAnswer: -i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*a - 1326 = -174. Let o = a + 98. Suppose -4*g + 2*n = -2, 0 = -g + 3*n - n - 7. Solve -o*k + g*k = 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-8)\/((-1)\/((-2)\/(-4))). Suppose -q = -0*c + c. What is the biggest value in 3, c, -2\/13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*a + 2 - 2)*(7 + 5 - 7)*(-8*a**4 - 66*a**2 + 66*a**2).\nAnswer: 120*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*z - 6*z = 8. Let q be (-2 - (1 - 1)) + z. Let g(x) = 4*x + 31. Let i be g(-7). What is the greatest common divisor of q and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 30 = -245\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + 1*(sqrt(1377) - (sqrt(1377) + (sqrt(1377) - (sqrt(1377) + -5))*6)) + -4.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4 + 9. Let g be 0 + -2 - (-318 - m). Let n = g - 175. List the prime factors of n.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 79\/3 of a hour in seconds?\nAnswer: 94800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -1137, 5, -46, -3 in ascending order.\nAnswer: -1137, -46, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*m**2 - 2328*m + 451632.\nAnswer: 3*(m - 388)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -197132616 - -5\nAnswer: -197132611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + -7 + -1 + -4 + (-60 - -64)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:45 AM and 11:45 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(108)\/sqrt(384) + -2.\nAnswer: -2 + 3*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -20000101010 + -11?\nAnswer: -20000101021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -113 (base 5) to base 14\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.68 or 0.1984?\nAnswer: -0.68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = i**3 + i**2 - i + 32. Let m be q(0). What is the second derivative of -m*r - 10*r**4 - 43*r**4 - 11*r**4 - 5*r wrt r?\nAnswer: -768*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -27 - 26 + 51 - 28*a**3 + 32*a**3.\nAnswer: 4*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1215 and 7155.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -a. Let d be 84\/(-15) + 30\/50. Let r(o) = o + 1. Give d*s(b) - 2*r(b).\nAnswer: 3*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -45 - -47. Suppose -24 = -o*r - 12. Calculate the remainder when 16 is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 28 is divided by 6\/8 - (-111)\/12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 2*s + 107 = 9, -5*a = s - 119. Suppose -3*z + 9 = -30. What is the remainder when a is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*a + 5*a = 4. Let h(x) = -x - 5. Let u(k) = 4. Suppose -5*o = -5*f + 50, 4 = 3*o + 4*f - 1. Determine a*h(b) + o*u(b).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1257405?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*m + u + 20 - 10, -3*m - 5*u = 15 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-189)\/14*1640\/738 - -31)*(-4)\/794.\nAnswer: -2\/397","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -57*u**2 + 2*u**5 + 18*u**3 - 7*u**3 - u**3 - 7*u**3 wrt u.\nAnswer: 120*u**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -3 - 3 - 2698\/(-475). Let v = -1503\/4775 - h. Is 0 at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15 + -3 + 14 + -9 - (3 - 11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -381044\/17 or -22414?\nAnswer: -22414","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -26158732 divided by 6539683.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -36 + 49 + -3 + -1. Let v(s) = -2*s**2 + 22*s - 22. Calculate v(o).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = z**2 + 3*z - 15. Determine d(-8).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -w**3 + 607 + 10*w**4 - 607 + (-w**3 + 2*w**3 - 3*w**3)*(8*w - 6*w + 2*w) - 2*w**4 - w**4 + 4*w**4.\nAnswer: 3*w**4 - w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -577 - -577. Solve 9*t - 5*t - 8 = p for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-5\/6)*c\/(c**6\/c)*((c*c\/((c\/(c*c**(-2\/3)*c*c))\/c)*c)\/c)**(-9))**32 assuming c is positive.\nAnswer: c**(-4208\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 415751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*s**5 + 271*s**4 - 18*s**2 + 28485*s + 3?\nAnswer: 40*s**3 + 3252*s**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) be the third derivative of -u**7\/175 - u**6\/120 + 11*u**5\/300 + 347*u**2. Let j(q) = 0. What is q?\nAnswer: -11\/6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7977 = 13*a + 169*a - 879 for a.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 5*c - 5*c + 11*c + 63*c.\nAnswer: 64*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 245 and 4126010.\nAnswer: 28882070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 646014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 12 = -j. Let n = -4 + j. Suppose -n*t = -0*t - 4*u - 24, 2*u - 36 = -5*t. Calculate the remainder when t is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 13*b*m**3*z + 4313*b*m**3 - 2*b*z + m**3*z + 14*m**3 + 12055*m**2*z - m*z - 4*m wrt m.\nAnswer: 78*b*z + 25878*b + 6*z + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 733521143 and 3412.\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 13046124232 and -0.3?\nAnswer: 13046124232.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -4*g + 1. Let v be 1 - 12\/(g + 1). Let n be 5\/v*2\/(-10). Sort 2, n, 3\/5 in descending order.\nAnswer: 2, 3\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 37 - 36.069025?\nAnswer: 0.930975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zzzzzzz. What is prob of sequence zzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -189180 rounded to the nearest 10000?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand 11*n**5 - 9*n**3 + 9*n**3 + (-3 + 3*n**4 + 3)*(-4 + 4 - 4*n).\nAnswer: -n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -377193 + -22.5840916.\nAnswer: -377215.5840916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -5*s + 8. Let v(p) = 4*p - 7. Let c(u) = -6*q(u) - 7*v(u). Let y(z) = 3*z + 3. Let f be y(-2). Calculate c(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5150139 by -87.\nAnswer: -59197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: ((-2240)\/1372)\/(3*(-6)\/63)*-7\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 0\/2 + 34\/17. Suppose -d + v + 13 = 0, d + w*v - 26 = -7. Is d a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 278\/4 - (-4)\/(-8). Let w = q - 18. What is the second derivative of 50*y - w*y - 4*y**3 + 2*y**3 wrt y?\nAnswer: -12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5052?\nAnswer: 2, 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 times 35.5?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -1  (b) 3  (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -15375, -61366, -138029, -245370, -383395, -552110, -751521?\n\"Answer: -s**3 - 15330*s**2 + 6*s - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -53 - 262 = -3*c. Suppose -5*l - 5*x + c = 0, 0 = 2*x + 3*x - 10. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = -52 - 20. Let f = 109 + -93. What is the smallest common multiple of r and f?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3141 - 3126. Solve 46*w = x*w - 155 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 887883784 to the nearest integer?\nAnswer: 961","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1577*d = 1578*d - 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 40 + -18. Suppose -c + 5 = -4*b - 5*x, x + 2 = b. Suppose -10*d + 7*d - b = 0. Which is smaller: d or 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 636445, 1272891, 1909337?\nAnswer: 2545783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 66372?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 559470555*y**3 - 92*y + 2064608.\nAnswer: 3356823330*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (27*m**3 + 108 - 108)*(3 + 2 - 3) + 2*m**3 - 753 - 9*m + 753 - 2*m**2 to h*m**3 + q*m**2 + w + n*m and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve s - 11 = -5*r, 0 = 75*r - 83*r + 5*s + 11 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = q**2 - 22*q - 198. Give w(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 72  (b) 3  (c) -2\/29  (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 110955, 111223, 111491?\n\"Answer: 268*c + 110687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 64*k**5 + 2*k**3 + 239*k**2 wrt k?\nAnswer: 3840*k**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (m + m + m)*(-9*m + 0*m**3 - m**3 + 7*m).\nAnswer: -3*m**4 - 6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dy when two letters picked without replacement from {e: 10, d: 1, y: 4, x: 3}.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 42206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 8501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 1. Let n(x) = -596*x - 6. Give -5*g(f) - n(f).\nAnswer: 596*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 328?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-10)\/(-4) - (-9)\/(-6). Suppose -4*t = -0*n + 5*n - 7, -k = 3*n + 5*t. Solve -h = 3*q + 12, -2*h + n = h - 4*q for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - (0 - 9 - 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 2 l when three letters picked without replacement from sssylsiqyyyqiqssisly.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*l - 2*l - 2*l)*(-48*l + 151*l + 206*l)*(l - 5*l + 2*l).\nAnswer: 618*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hai when three letters picked without replacement from {a: 11, i: 2, h: 7}?\nAnswer: 77\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -k**3 - 8*k**2 + 385*k + 26. Let t be c(-24). Solve -t*n - 2*f = 4, -5 + 14 = -3*n - 4*f for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 505514 and 7635074?\nAnswer: 2014","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*o = 4*z - 7 - 19, 8 = 2*z for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -114 = -3*z - 3*t, 0 = -5*z + t - 0*t + 196. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 211621 and 2?\nAnswer: 423242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = l - 7*l + 5*l + 0*l. Let v(m) = 30*m**2. Determine t(v(y)).\nAnswer: -30*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 44, 51, 62, 77, 96?\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2 + 0)*(-1257 - 3*m - 1333 + 2455).\nAnswer: -3*m - 135","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = -t + 2*t. Calculate the least common multiple of t and (-2 - -1) + 3 - -8.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 3, f: 2, j: 7}. What is prob of picking 1 f and 3 j?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -m**3 - 5*m + 2. Let p(n) = -n**2 + 4*n - 2. Let u be p(3). Let s(x) = x. What is u*f(a) + 4*s(a)?\nAnswer: -a**3 - a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 30178903 to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 760953 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = -3058 - 95. Let o(v) = -16960*v - 7979*v - b*v + 10 - 3510*v. Let x be o(5). What is x rounded to the nearest ten thousand?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 1, 44, -151, -2\/13, 1\/6 in descending order.\nAnswer: 44, 1, 1\/6, -2\/13, -3, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 8 and 124.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -163*o - 211*o + 54*o + 17*o = 19089 for o.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/(-3)*0*(-25)\/450?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -20*k - 1250. Give m(-62).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 21 + -13. Let l(t) = -t + 3*t - 4 - 10. What is the units digit of l(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -w + 52 - 5. What are the prime factors of w?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from crcrcr. What is prob of sequence ccr?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 428009243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (33\/22)\/(70\/(-4740)) + (-21)\/49?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from {z: 2, w: 10}.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -160*n = -154*n - 6420. Let g = n + -899. Calculate the remainder when g is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/(-20) - (36\/(-420))\/(12\/50).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*g + g**4 + 2*g + (-3 + 3 - 9*g)*(0*g**3 - 3*g**3 + g**3) + 0*g**4 + 2*g**4 + 0*g**4 + 58*g**2 - 54*g**4 - 58*g**2.\nAnswer: -33*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + sqrt(65)\/sqrt(5)*5.\nAnswer: 3 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = -0*x + 12. Let z = 4 - 4. Suppose -g + 0*g + 9 = z. Solve 20 = x*f, -f + g - 1 = r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1985, -7964, -17937, -31910, -49889, -71880, -97889?\nAnswer: -127922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -23 + 30. Suppose -v*q = -q - 5994. Suppose -t = -4*n + q, 0*n - 266 = -n - 3*t. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 19 + -28. Let i = -5 - z. Calculate the lowest common multiple of i and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = -3*p - n, -3*p - 16 = -3*n + 5*n. Let h be -2*1*3\/p. Let d(q) = 15*q - 10. Let x be d(h). Calculate the greatest common factor of x and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -281 + 285 = -18*w + 2*y, -w + 2*y = -30 + 34 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 389 + -814. Let a = u - -422. What is the third biggest value in -5, a, 1\/7, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*h**2 - 8*h**2 + 0*h**2.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + (sqrt(1573) - (sqrt(1573)*1 - sqrt(1573))) + -2*(sqrt(1573) - sqrt(1573)*1))**2.\nAnswer: 110*sqrt(13) + 1598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 1, -1\/14, -3 in ascending order.\nAnswer: -3, -1\/14, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 4*y**4 + 4*y**3 - 9*y**2 - 9*y - 9. Let t(c) = -2 + c**3 + 4*c - 2*c**2 + c**4 - 4*c - 2*c. Let i(b) = -9*t(b) + 2*w(b). Let i(q) = 0. Calculate q.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -5.84 and 7.\nAnswer: 1.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence euy when three letters picked without replacement from knknknyknknyunkyeu.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(11)*-1 + -1 + (-2*sqrt(121))\/sqrt(11).\nAnswer: -3*sqrt(11) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -786*-1050.579.\nAnswer: 825755.094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*t - 30 = 5*t + 3*q, -4*q - 10 = 2*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -28 - -28.09. Are f and -2\/7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 960646*f - 961046*f + 19600 = 0 for f.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 538174 a multiple of 1398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*x - 4*m + 760, 8*x - 3*m + 375 = 10*x. Calculate the remainder when x is divided by 101.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2  (b) 0.1  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -89*g + 642. Determine r(8).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 223*p**2 - 8*p - 6. Let y be k(-7). Let v = y - 66011\/6. Find the common denominator of v and 115\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) be the second derivative of -p**6\/255 - 7*p**5\/170 + p**4\/6 - 3*p**3\/17 - 92*p. Suppose u(d) = 0. What is d?\nAnswer: -9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.3, 3, 1.28, 0.3, -0.4?\nAnswer: 1.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 2*l = -10, -3*u + 4*l - 20 = -7*u. Which is bigger: -10\/29 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -32 (base 13) in base 10?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -12 - -2. Let h be 1\/(-5) - 2\/r. Suppose -5*a + 2*x + 88 = h, -a + 3*x = -3*a + 20. What is the lowest common multiple of a and 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1.9 + -2. Let k = 1.1 + o. Let y = -36 - -250\/7. Which is bigger: k or y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:43 PM and 4:49 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 641052, 641197, 641344, 641493, 641644, 641797, 641952?\n\"Answer: b**2 + 142*b + 640909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z + 4 = -2*r, 984 - 970 = -4*r + z for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1572067024723\/8337 + -188565071. Let u = m + -2\/2779. Factor u*f**2 + 2\/9*f**4 - 16\/9*f**3 - 32\/9 + 16\/9*f.\nAnswer: 2*(f - 4)**2*(f - 1)*(f + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 3*m + 9. Let g(u) = 4*u + 22. Let j(k) = 5*k + 21. Let h(n) = -2*g(n) + 3*j(n). Let f(l) = 5*d(l) - 2*h(l). What is the units digit of f(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 139\/1128 and 23\/21248.\nAnswer: 2995968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 734 in -0.2, 204, -0.03?\nAnswer: 204","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((-3 + sqrt(567) + 3)*-2 + -2 + sqrt(567) + (sqrt(567) + 0)*5)**2.\nAnswer: -36304 + 576*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 366 minutes after 7:34 AM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 92414 and 2758896.\nAnswer: 2254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -6 + 7 + -12 + 32 + -37 + 43\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Round -388.9 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14411.\nAnswer: 14411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:10 AM and 8:09 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1185656, -2371321, -3556978, -4742627, -5928268, -7113901, -8299526?\nAnswer: -9485143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 62.03371721 - 0.03337721. Let g = j - 62. Round g to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1b0 - -16618c?\nAnswer: 165cac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 84084 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.09 * 0.00168.\nAnswer: 0.0001512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -8647\/4 - -43239\/20. Factor -q*z + 0 + 2\/5*z**2 - 1\/5*z**3.\nAnswer: -z*(z - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 24*c + 1 - 9*c - 1. Let r be b(5). Suppose 8*d - 7*d - r = 0. Is 23 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 78 - 38. Let w(q) = q**2 + 16*q + 52. Let k be w(-14). Calculate the highest common factor of k and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*j - j + 2*j)*(3 - 5 + 0) - j + 2*j - 6*j in the form m + g*j and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 8\/(-3)*(-9)\/6. What is the second derivative of -2*s**4 + 3*s**4 + 6*s - q*s + s wrt s?\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 2*k**2 + 5*k + 6. Let d(c) = -3*c**2 - 9*c - 4. Let h(g) = -3*d(g) - 4*l(g). What is h(-7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7, 0, -29, -92, -201, -368?\nAnswer: -605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*t - 686 = -161. Calculate the remainder when 64 is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 7, a: 2}. Give prob of sequence kk.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2489267.7 nanoseconds to days.\nAnswer: 0.00000002881096875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) be the second derivative of -5*i**2 + 0*i**4 + 0*i**3 - i - 3\/20*i**5 + 0. Find the first derivative of z(m) wrt m.\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10*m**2 - 2 - 5*m**3 + 16*m**3 + 17*m**3 + m**3 + 3*m**2 - 2*m to the form t*m + f*m**2 + a + x*m**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 5345*t + 48080. What is d(-9)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -58 + 349\/6. Let r(t) be the third derivative of 0*t - 1\/15*t**5 + 0 + 0*t**4 - t**2 - m*t**3. Differentiate r(j) with respect to j.\nAnswer: -8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2087*w - 2335*w = -7936 for w.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 6*c**3*i - c**3 + 17*c*i + 3*c - 68568*i - 13815341 wrt i?\nAnswer: 6*c**3 + 17*c - 68568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) be the third derivative of -1\/360*p**6 + 0 + 0*p + 2*p**2 + 1\/20*p**5 - 5\/24*p**4 - 1\/3*p**3. Let d(u) be the first derivative of o(u). What is d(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1263678747.\nAnswer: 3, 109, 3864461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 374494?\nAnswer: 2, 41, 4567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -362 + 278.3. Let p = u + 118. Let h = p - 42. What is h rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -13 - -17. Suppose 0 = n*o + 4*h - 284, -286 = -5*o + 3*h + 45. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4.6935 + -4.600349. What is a rounded to 3 dps?\nAnswer: 0.093","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f\/(f*f\/f**(-3\/2)))\/f)**(-4)\/(f**2)**(-11) assuming f is positive.\nAnswer: f**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pfrpfbimi. Give prob of picking 1 f, 1 i, and 2 p.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 3 = -9. Suppose 0 = -0*a - o*a - 4. Is 128*(5 + 1) + a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (6 - -1) + (-2 - -3) + -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-1)\/(-9))\/(-1))\/(200\/25*(-475)\/(-1200))?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 78*r + 6356 = 82*r. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = l**2 + l + 15. Calculate the remainder when n(0) is divided by 92\/16 + (-2)\/(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-85)\/(-340)*1*(-1 - -3). What is the second biggest value in 1\/4, w, 26?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 2, s: 1, o: 3, l: 1}. Give prob of sequence yol.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n + 2*w = -10, -14 = -5*n + 474*w - 472*w for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1a2a (base 13) to base 16.\nAnswer: f53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.8 and -299803242548?\nAnswer: 299803242548.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 344 minutes after 11:48 AM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*f - 4*g - 8, -4*g = -3*f + 3 + 7. Suppose f*v = -3*v + 15. Suppose u = 2*r - 15, -r + 16 = 2*u - 4. Solve m = v*m - r for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1500)*1 - sqrt(1500)) + sqrt(1500))\/(-3*(sqrt(5) + sqrt(20)\/sqrt(4))).\nAnswer: -5*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 - -0.4. Let b = -24 - -24.44. Let j = b - 0.14. What is the biggest value in -0.1, m, j?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (16 - (-1 - -2)) + (-2 - 62 - -61).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3 - 3 + 3*f**4 + (-2*f**3 + f**3 + 5*f**3)*(-2*f - 2 + 2).\nAnswer: -5*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 924 and 3432924.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 14 and 1134.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 94 is divided by 27.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 3, -5, -17, -4 in decreasing order.\nAnswer: 3, 0, -4, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -354  (b) 0.5  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/(b\/b**(2\/43)))\/b**(-2\/7))\/((b*(b\/b**4)\/b)\/(b**9\/b)) assuming b is positive.\nAnswer: b**(3411\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.363234 kilometers in centimeters?\nAnswer: 636323.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 111 + 5 + (-22 - 17) - (5 + (1 - 1))?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 42\/(-28)*(-16)\/6. Suppose 0 = -p - y, -5*s + 24 + 3 = -3*p. Suppose -s*w - 6*b + 10 = -2*b, 3*b = -3*w + 6. Is w less than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*y**2 + 2*y**2 - y**2 - 5*y**2 - 7*y in the form w + u*y + x*y**2 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*j + 33*j = -4*d + 8, -d + 2*j - 10 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 111468?\nAnswer: 2, 3, 7, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 397288 and 1060.\nAnswer: 1986440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 84*x + 3 = g + 79*x, -3*g = 2*x - 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at least 49\/4737?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 19*i**2 + 3*i + 1. Let p(q) = -q**2 - q. Let j = -34950 - -34953. Determine j*p(z) + u(z).\nAnswer: 16*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 848 divide 5109200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2)\/(-3) + (-120)\/(-36). Let x(b) = -5*b**3 + 3*b**2 + 3*b + 3. Let d(u) = -6*u**3 + 4*u**2 + 4*u + 4. Give w*x(a) - 3*d(a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 37403, -8, 1 in descending order.\nAnswer: 37403, 1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -89\/124720 and -41\/10523250?\nAnswer: 84186000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -104 - -63?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 431109323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -215b + 1b?\nAnswer: -2140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:42 PM and 2:51 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*r**2*s**2 + 4014*r**2*s + 5*r**2 + 145296*r*s + s**2 wrt r.\nAnswer: 6*s**2 + 8028*s + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 7691 and 52643?\nAnswer: 404877313","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -733.2 to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 290740, 582717, 874694?\nAnswer: 1166671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = i**2 - 9*i + 10. Let s be l(8). Solve s*p + 2*p = -8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 54 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - (3 - 8)) + (2 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 414 minutes before 7:47 AM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -2*y - 1. Suppose -11 = -6*m - 47. Give f(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1 + -2 + -2 + 1. Let s(i) be the second derivative of 103*i**4\/12 + i**3\/3 + i**2 + i. Let n be s(j). What is n rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 3*p = -1, 0*h - 5*p = -3*h. Let t(v) = -3*v**2 + 8*v - 14. Let w be t(h). Let c = w - -193. Is c a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s - 25 = 3*l, 5 = -1274*s + 1269*s - 3*l for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 507171757.\nAnswer: 929, 545933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) be the third derivative of y**6\/120 + y**5\/12 - y**4\/3 - 3*y**3\/2 - y**2. Let n be r(-6). Suppose -5*b + n = -12. Does 3 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-5)\/(-2) + -2 - 13\/18. Let a(d) = -d - 5. Let u be a(-6). Sort u, j, -1\/5 in decreasing order.\nAnswer: u, -1\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a\/a**(3\/2)*a\/a**(5\/2) assuming a is positive.\nAnswer: a**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 320 - 639 + 319 + 4*v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 5109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -6 (base 13) to base 5\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -53\/128 and 101\/56?\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -147*q**3\/4 - 19887*q**2\/4 - 5673*q\/4 - 405\/4.\nAnswer: -3*(q + 135)*(7*q + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*i**5\/9 + 160*i**4\/3 + 8012*i**3 + 228912*i**2 - 760266*i = 0. What is i?\nAnswer: -57, 0, 3, 351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -101 + 104. What are the prime factors of 1060\/80 + t\/4?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*w = -16 - 12 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -958692*g**2 - 82528 with respect to g.\nAnswer: -1917384*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 20\/2908971 and 113\/1946646?\nAnswer: 1029775734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -6070 (base 9) to base 5\nAnswer: -120222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.84, 243, -5 in decreasing order.\nAnswer: 243, -0.84, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1982570 + 62012?\nAnswer: 2044582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -154 = -315*o + 318*o - 97 for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 80\/200 - (1 - 4\/(-10)). Which is smaller: l or -31\/3?\nAnswer: -31\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -97\/726 and -95\/968.\nAnswer: 2904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1100 - 12212020?\nAnswer: -12210220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/((25\/10)\/5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*g**2\/2 + 417*g + 8811\/2.\nAnswer: 3*(g + 11)*(g + 267)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xn when two letters picked without replacement from huunax?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(-3\/2)\/d**(-2\/13))\/(d**(-6\/11)*d**(-1)))\/((d**(-2\/7))**15\/(d*d*((d\/(d*d\/(d**0*d)))\/d)\/d)**(3\/2)) assuming d is positive.\nAnswer: d**(8979\/2002)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*g**3 - 503*g**2 + 503*g**2.\nAnswer: -15*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-one quarters of a kilogram in grams?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 300*k - 26*k - 2*k + 304*k - 10*k - 121*k.\nAnswer: 445*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 5*p = -12 + 11, 5*h + p = 13. Solve 3*s = -h*m + 15, -2*m - 2*s - s = -12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -127\/354320670 and -79\/15617440?\nAnswer: 5669130720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -19 + 35. Suppose 3*f + f = -5*x - 4, -r = 4*x. Suppose -3*m + 2 = -4. What is the remainder when f is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - (-12)\/14) + 31278\/2807?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 213 in -0.3, 4, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 71823.9 litres to millilitres.\nAnswer: 71823900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -g + 9*g**2 + 2*g**4 + 0*g**2 + 5*g - 3*g to a*g**4 + o*g**2 + n*g + d*g**3 + h and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -59*g - 24630 - 24588 - 24588 + 73806.\nAnswer: -59*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 639 minutes before 6:02 PM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 1  (b) 0.29  (c) 0.2  (d) -0.03  (e) -4  (f) -14  (g) -747\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1.1 + -3.9. Let g be 2 + (-1)\/52*-1. Let l = -36\/13 + g. Which is the biggest value?  (a) z  (b) l  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 210*m**2 - 112*m. Let b(w) = -w**2 + 8*w. Give -28*b(j) - 2*p(j).\nAnswer: -392*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.2 and 12.5.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 plus -530635396108?\nAnswer: -530635396108.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*m**3 + m**3 + 22*m - 20*m + (6*m**2 - 15*m**2 + 4*m**2)*(-3*m + 3*m - 2*m) in the form j*m + l*m**3 + f*m**2 + n and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7b64 (base 12) to base 3.\nAnswer: 200212111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(-17)*m\/(m*m**(-2\/3)*m) assuming m is positive.\nAnswer: m**(-52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43 = 3*q + 4*g, 0 = 3*q + 32*g - 34*g - 73. Solve -5*u = 3*r - 34, q = 2*r + 4*u - 5 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -384\/11 - 36\/11*c**3 - 160\/11*c + 2\/11*c**4 + 186\/11*c**2 = 0. What is c?\nAnswer: -1, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l*(l**(2\/43)\/l)\/l*l*l**(2\/9) assuming l is positive.\nAnswer: l**(104\/387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1607.\nAnswer: 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Product of 132441 and -3.2.\nAnswer: -423811.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from olorrovoorvrvloeov. Give prob of picking 1 v, 1 e, and 2 l.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -19*j + 8*j - 13*j - 5*j + 2*j as k + n*j and give n.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14*((-5)\/1 + 46 + 1950\/(-52)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) be the second derivative of j**5\/20 - 5*j**4\/6 - j**3 + j**2\/2 - 15*j. Let g be n(11). What is the units digit of ((-12)\/14)\/((-12)\/g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/(-18) - (2 - (-56)\/(-30))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k - 1 + 0 = 3*a, 3*k + 4*a - 6 = 0. Let u(o) = -233*o - 6. List the prime factors of u(k).\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -100 - -58. Let x be 2*(-1)\/6 + (-14)\/a. Suppose x = -42*g + 40*g + 274. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.3*-123.81.\nAnswer: 37.143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -135, 10, 281, 738, 1441, 2450, 3825?\nAnswer: 5626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Are 1 and 58\/3897 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = -a + 20. Let s(b) = -3*b - 2. Let n(y) = -7*y - 4. Let h(u) = a*s(u) - 3*n(u). What is the units digit of h(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4\/(-8)*-6 - -862 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 763723.\nAnswer: 43, 17761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1082*c**2 - 1170724*c - 1266723368\/3 - 1\/3*c**3.\nAnswer: -(c + 1082)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -37*x + 87. Let s(i) = -i**3 + 5*i + 4. Let l be s(3). Does 49 divide y(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2400 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.1115078371474 and 0.9.\nAnswer: 1.0115078371474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 975*l + 664. Let y(h) = -12*h. Determine g(y(p)).\nAnswer: -11700*p + 664","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 8070 + -161451\/20. What is the common denominator of (-39)\/(-4) - 0\/3 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 650791614 divided by -1.\nAnswer: -650791614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = p + 4*p - 1006, 198 = p + 3*t. Let s = 374 + -371. Suppose 4*k = 2*k + 2*z + 82, -5*k = -s*z - p. Calculate the remainder when 116 is divided by k.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10315225 divided by -412609.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8)\/(-37 - -5)*8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4032.37 rounded to the nearest one hundred?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 8316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1781 is divided by 46.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2771 - 623477\/225. Let z be (10 - (-153)\/(-15)) + (-6)\/(-5). Is b at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 956 = -89*q - 646 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 247\/6  (b) 1  (c) 0.4  (d) -0.5  (e) 2.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 24 = 139. Let c = g - -39. Let x(i) = i**3 - 17*i**2 + 16*i + 18. Calculate the lowest common multiple of 8 and x(c).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-3)\/(-24) + 2)*(-3 - (-15)\/25) and 53\/198.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2.98 + -0.02. Let n = r + 2.4. Let z = n - 3.4. Is z at most as big as -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -211 - 21100110121?\nAnswer: -21100111102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5 and 8593?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 8\/7 - 47\/35. Let i = -11654.7 - -11655. What is the biggest value in -0.1, i, b, 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 190\/7315*(-7)\/(-2)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -204 - -192 - (-46 + -5).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 51+42\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*u + 9*u - 98 + 6*u - 42 - 21*u.\nAnswer: 2*u - 140","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 57877 is divided by 788.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -15*i - 19*i + 12*i to the form w*i + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 36.8000269 - 36.8. Round j to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6 - 0. Let a = s - -14. Calculate the greatest common factor of 12 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*f + 15*f - 725 = 0. What is the remainder when 103 is divided by f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1.09 + 0.11. Let i = f + -1.1. Suppose 7*j = 4*j + 3. Which is the closest to j?  (a) i  (b) 0.06  (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -19  (b) -9\/4  (c) 2\/3  (d) -2  (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 74 + -72. Let s(j) = 3*j - 1 - 4*j - j. Let o be s(d). Which is the biggest value?  (a) o  (b) -2\/5  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) be the first derivative of -g**4\/4 + 8*g**3\/3 + 2*g**2 + g - 21. Let m be b(8). Let k = 40 - m. Calculate the greatest common factor of k and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 13074 and 12.\nAnswer: 26148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -12*f**2 + 7*f + 7. Let a(g) = g + 16. Let i be a(-9). Suppose i*j = -16 + 44. Let o(u) = -4*u**2 + 2*u + 2. What is j*k(b) - 14*o(b)?\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -28*a - 482. Let u be i(-17). What is the nearest to 0 in -1, 1\/3, -5, u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sffsfssssfssfffgf. What is prob of sequence sgs?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.2 - 0.3. Let z = 4.96351 + 0.03649. What is the nearest to d in 1\/2, -1\/2, z?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 2*x**2 + 0 + 8.\nAnswer: -2*x**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 1554 = a. Let o be a\/13 - 6\/(-39). Calculate the lowest common multiple of 35\/10*o\/14 and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 2*z = 4*s - 16, 3*z - 6 = -3*s. Let j = -123 - -34. What are the prime factors of 4\/(-16) - j\/s?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 31*r - 7160 + 7005. Let q(s) be the third derivative of 0*s - 27\/4*s**3 + 0 - 1\/120*s**r + 3\/8*s**4 - 35*s**2. Factor q(m).\nAnswer: -(m - 9)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 119*n - 61*n - 5*k = 65*n - 65 - 7, 12 = -n + k for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 2\/7  (b) -1\/80  (c) -11  (d) 1\/2  (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 (base 15) in base 7?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 8.775 + -13.775. Which is the second smallest value?  (a) 2338  (b) 0.5  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(1400)\/sqrt(8) + 3*sqrt(42)\/sqrt(6))**2.\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -76\/15 and 51\/280.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -158213492*s**5 - 57351747*s - 1 wrt s?\nAnswer: -3164269840*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 30 + -16. Let v = n - 16. Suppose 4*u + 28 = 4*o, 3 = o + 5*u + 8. Which is the third biggest value?  (a) -4  (b) o  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u - 42 = -182. Let f = -28 + u. Suppose 5*x + 7 = -8. Which is bigger: x or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2268.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 2*c**3 - 487*c**2 + 352*c - 26476. Give i(243).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 1, g: 1, e: 4, q: 2}. What is prob of picking 2 q, 1 a, and 1 e?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/25*(-246)\/(-123)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26600762 is divided by 886691?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-9)\/((-162)\/(-60))*321*6\/(-30). Solve -2*n - 206 = -i for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w\/w**(-8))\/w**13 assuming w is positive.\nAnswer: w**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42 = 4*j - 86. Let r = j + -46. Let y = -10 - r. Is y even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 30 and 1855?\nAnswer: 11130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -10*q + 1 + 51*q**2 - 10 - 4 - 52*q**2. Give i(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 93*i**3 - 289*i**3 + 99*i**3 + 93*i**3 + 57*i - 45*i - 12*i.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.388 + 1.388. What is the nearest to -2 in 1\/4, 0.01, q, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6974 - 6971. Let s(o) be the third derivative of 1\/16*o**4 + 0*o - 1\/40*o**5 + 9*o**2 + 1\/2*o**u + 0. Factor s(j).\nAnswer: -3*(j - 2)*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 3*n. Let x(g) be the first derivative of g**6\/45 + 22*g**3\/3 + 8. Let c(d) be the third derivative of x(d). Give c(f(t)).\nAnswer: 72*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000474533179 rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g = 0, -2*g + 3 = 3*h - 9. Suppose -4*u + 24 = t, h*u = -4*t + u + 96. Suppose 3*s - t = -s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 59211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 840360 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33 = -4*l - 5*j + 33, l - 2*j = 10. What is the remainder when 341 is divided by ((7224\/(-9))\/l)\/((-2)\/3)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p**(-8)*p)\/p**4)\/(p**14*p**(-6)) assuming p is positive.\nAnswer: p**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 190 and 494?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -4033 divided by 1\nAnswer: -4033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-21 + 21 + 25*h)*((-h**2 + h**2 + 2*h**3)*(2*h + 0*h - 3*h) + (2*h - h + 0*h)*(-h**3 - 5*h**3 + 4*h**3)).\nAnswer: -100*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2096.7 - 382.7. Is 5\/2 at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.4 in 2\/3, -1, -4, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 40392 and 333234.\nAnswer: 1332936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q - 2*p - 4 = 0, -p - 26 = -7*q - 29 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*k**4 + 155*k**3 - 895*k**2 + 1345*k - 600.\nAnswer: -5*(k - 24)*(k - 5)*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -613*d**3 + 9*d**2 + 176*d + 145. Is l(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -26\/21343 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 579882 - -5.69.\nAnswer: 579887.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4 + 10 - 22)*(-3*y - y + 3*y)*(-4*y + 3*y + 2*y) to h + w*y**2 + d*y and give w.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -464.09779 to the nearest ten.\nAnswer: -460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 16 - 119*m + 120*m - 17. Let f(x) = x + 8. What is -f(k) + 3*i(k)?\nAnswer: 2*k - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + 2 + ((sqrt(208) - -1*(sqrt(208) + 1 + sqrt(208)))**2 - 2*(sqrt(208)*3)**2))*4.\nAnswer: -7484 + 96*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -508.78466 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -95*m + 5*m - 120*m**2 + 90*m + 15*m**2.\nAnswer: -105*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-2)\/4)\/(2 + (-12756)\/6376) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 882 divide 287733096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30994*w + 37067*w + 28915*w + 41522*w.\nAnswer: 138498*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3590.288 weeks to minutes.\nAnswer: 36190103.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12306 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3370941570.\nAnswer: 2, 3, 5, 43, 2613133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*g - 36 = 60 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 102 and 21744.\nAnswer: 369648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(68)\/sqrt(4) + 5) + -3.\nAnswer: -23 - 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1226.\nAnswer: 2, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -n - 2. Let s(l) = -3*l - 4. Suppose -q = -2*q - 5. What is q*g(j) + 2*s(j)?\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = x**3 + x**2 - x. Let r(d) = d**3. Suppose -560*c + 18 = -1125*c + 583*c. Determine c*r(s) + b(s).\nAnswer: 2*s**3 + s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3003 - 113?\nAnswer: -3122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*o - 2*u = 17*o + 42, -5*o = -3*u - 38. Does 5 divide 238\/o - (-24)\/(-30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 87 is divided by 6\/(-15) + 47\/5.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 225b55 + 1015?\nAnswer: 226b6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 11 - 9. Suppose 4*d - 19 = f, 5 = -d + i*f - 5*f. Solve -r + 0 = d for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 860*r - 10. Let b(p) = 215*p - 2. Calculate 9*b(g) - 2*l(g).\nAnswer: 215*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -d**2 + 0*d + 42209 - 10*d + 10*d - 42209.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*b - 2*b + 3*b + (-7*b - b + 0*b)*(-1 - 2 + 1 + (-3 + 0 + 2)*(3 + 0 - 1) - 2 + 3 - 2).\nAnswer: 38*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.5551 + 0.2551. Sort y, 1\/2, -0.133.\nAnswer: y, -0.133, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.055733l to millilitres.\nAnswer: 5055.733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/98)\/((-9)\/(-63)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -918888 + 918924.99942. Let r = 37 - f. Round r to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-4*k**3 + k**3 + 4*k**3)*(0*k - 3*k + 4*k) + 6*k**4 - 2*k**4 - 3*k**4 - 5*k**4 + 4*k**4 + 3*k**4)*(-5*k + 0*k + 3*k)*(3 - 31 + 0).\nAnswer: 224*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is (-3973802)\/(-2058) + (-2)\/(-21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 - 1)*(0*l + 0*l + 5*l - 3*l + 5*l + 0*l + (-5*l + 3*l + l)*(-3 + 4 - 3) - 2*l - l + 6*l + (-2*l + 3*l + 5*l)*(-3 + 2 + 0)).\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -148 - -103. Is w equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3950, -1\/6, 87 in descending order.\nAnswer: 3950, 87, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 200 (base 8) to base 10\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2908 and 1356090548?\nAnswer: 2908","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 60656627?\nAnswer: 60656627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-10)*a*a)**(8\/7) assuming a is positive.\nAnswer: a**(-64\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = f**3 - 7*f**2 + 127*f - 987. What is s(7)?\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 40 a factor of 8040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-3)\/((270\/40)\/9). Sort 6, i, 0.3, 2\/5.\nAnswer: i, 0.3, 2\/5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -91*j**4*x + j**3*x + x + 5 wrt j.\nAnswer: -364*j**3*x + 3*j**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o = 10*h + 148, 6*h - 4*h + 3*o + 27 = 0 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -621 + 3811\/6. Calculate the common denominator of 107\/10 and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00016726 rounded to six dps?\nAnswer: 0.000167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4 * 5.9.\nAnswer: -23.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 367 minutes after 1:40 AM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Product of -18 and 141.\nAnswer: -2538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 141, 193, 271, 369, 481, 601, 723, 841?\nAnswer: 949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 110 + 93*f**2 - 220 - 8*f + 24*f**2 - 50*f**2 + 110.\nAnswer: 67*f**2 - 8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 2107, 4019, 5943, 7879, 9827?\n\"Answer: 6*b**2 + 1894*b + 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 4*q**3 - 2019*q**2 - 681417*q - 76545500. Let f(v) = -2*v**3 - v**2 + v - 2. Let n(r) = 3*f(r) + t(r). Determine g, given that n(g) = 0.\nAnswer: -337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 53 divide 181546463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -22*c**2 + 5*c + 6. Let y(z) = 4*z**2 - z - 1. What is s(m) + 4*y(m)?\nAnswer: -6*m**2 + m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4*l**6 + 4 + 0 - 4 - 8*l**2 wrt l.\nAnswer: 480*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -16 - -16. Which is the second smallest value?  (a) -1  (b) 0.04  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -28207 (base 9) to base 7\nAnswer: -106516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 28 - 39. Let y be 0 - 1 - k*14. Let v = y - 106. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 479*s = 145*s + 417166. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -304 - -582. Let x = 273 - z. What is the second smallest value in 76, x, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2.67 - -0.65. Let j = a + 0.02. Which is bigger: j or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1610780 by -43.\nAnswer: 37460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 61\/88872 and 83\/540?\nAnswer: 3999240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) be the first derivative of 0*c**4 + 38 - 55\/3*c**3 + 0*c**6 + 0*c**5 + 0*c - 29\/7*c**7 + 0*c**2. What is the third derivative of j(g) wrt g?\nAnswer: -3480*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3245.\nAnswer: 5, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 2*15\/(-12)*2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31*x**3 + 11*x**3 + 11*x**3 - 5*x**3.\nAnswer: 48*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 18 and 300?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q - 587 = 3*u, -q - 8 = -3*q. Let i = -112 - u. What are the prime factors of i?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + 2*sqrt(208) + (sqrt(52) + sqrt(52) + sqrt(52) + (sqrt(1300) - sqrt(52)) + sqrt(52))\/sqrt(4)*3 + 5)**2.\nAnswer: 640*sqrt(13) + 13412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (-16 - -2) + (-130 - -148)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 557 is divided by (68\/(-1))\/4*2530\/(-230)?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) be the third derivative of 7\/60*d**5 - 1\/120*d**6 - 1\/2*d**3 + 0 - 5*d**2 + 0*d - 1\/12*d**4. Calculate the remainder when h(3) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27 + 33 = -4*u. Let g be 2\/u*-3*-1. Let r(d) = d**3 - 37*d**2 + 54*d + 562. Let o be r(35). Which is the second biggest value?  (a) g  (b) o  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 371*f**6 + 11*f**4 - 1030*f**2. Let b(s) = -74*s**6 - 2*s**4 + 206*s**2. Let p(l) = -11*b(l) - 2*k(l). What is the third derivative of p(o) wrt o?\nAnswer: 8640*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5 - 1. Is 21 a factor of 1*23 + -6 + n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2445478*u**6 + 8*u**2 - 426635?\nAnswer: -293457360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 110101111100101101 (base 2) in base 16?\nAnswer: 35f2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -9*p**2 + 2*p - 1. Let c(y) = 17*y**2 - 4*y + 1. Let f(n) = 4*c(n) + 7*m(n). Let i(t) = -14*t**2 + 5*t + 8. Determine 11*f(o) + 4*i(o).\nAnswer: -o**2 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) be the second derivative of -2*z**4 + 11*z**3\/2 - 33*z**2\/2 + 10*z + 6. Let b(k) = 3*k**2 - 4*k + 4. Determine 33*b(i) + 4*h(i).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1145 (base 8) in base 6?\nAnswer: 2501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/4 of a microgram in nanograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 4  (b) -0.5  (c) 116727\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) be the first derivative of 2*m**3\/3 - 13*m**2\/2 - 3*m - 4. What is the remainder when x(9) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 0.06  (b) 5  (c) -1.3  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) be the second derivative of w**4\/6 + 2*w**3 - 4*w**2 + 10*w. Let h be z(-9). Let u = h + -24. What is the least common multiple of 1 and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from auuuaaauuao. What is prob of picking 3 u?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4773893 (base 10) to base 14.\nAnswer: 8c3a85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when ((-2)\/6 + 1)\/((-174)\/(-3393)) is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -v**3 - 5*v**2 - 4*v - 3. Let i be n(-4). Let u be (-1590)\/(-9)*(-6 + i). Round u to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 15\/10*(-40)\/6. Let g(b) = -3*b - 7. What is the tens digit of g(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -u. Suppose -2*y - 88 = -v - 15, 5*v - 310 = -y. Let k(f) = -7*f - v + 63. What is a(k(b))?\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 76\/10 + 15\/(-25). Suppose -c = -0*b + 2*b - 2, 3*b = -4*c - t. What is the units digit of 2\/b*(9 + 9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-28 + 15*p**4 + 28 + (p**3 + 3*p - 3*p)*(-1 + 1 + 2*p))*(4*p - 4*p + 3*p).\nAnswer: 51*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 742909.3cm?\nAnswer: 7429093000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-37)\/((-370)\/(-48)))\/(-9*(35\/150)\/1)?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*s - 7*s + 3*s + (0 + 4 - 2)*(-1 + 2*s + 1) + 0*s - s + 4*s + (-3 + 4 + 6)*(0 + 1 - 4)*(-2 + 2 + s) + 6*s + 0*s - 5*s as i + l*s and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 411269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 7 and 605.\nAnswer: 4235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5917 is divided by 30.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -90*j**2 + 4803 - 14*j - 12*j - 1172*j**6 + 12*j - 4805 - 516*j**6 wrt j?\nAnswer: -202560*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) be the first derivative of 15*t**4\/8 - 109*t**3\/3 - 11*t**2\/2 - 7*t + 83. Let b(q) be the second derivative of d(q). Differentiate b(z) wrt z.\nAnswer: 45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + sqrt(180)\/(sqrt(9)*-1) + sqrt(720)*3)**2.\nAnswer: -272*sqrt(5) + 5796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2439325007.\nAnswer: 7, 23, 2164441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*z**3 - 5*z**3 - 2*z**3 - 4*z**3.\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from pqqqqp. What is prob of picking 3 q?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -j + 5. Let u be c(-5). Suppose -4*z = s - 8, -s - 10 = -0*z - 5*z. Solve -5*t + l - 5 = s, t - u = -t - 2*l for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00445431921 rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1327 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 1613*w**3 + 4*w**2 - 2*w. Does 85 divide u(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1818827.\nAnswer: 241, 7547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express 10763*w - 4958*w - 2823*w in the form t + n*w and give n.\nAnswer: 2982","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 26, -1, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*j**(1\/3)*j)\/(j*j*j**(-2\/21)))\/(j**(3\/5)*j*(j\/(((j**7\/j)\/j)\/j)*j)\/j) assuming j is positive.\nAnswer: j**(64\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = m + 4*l, -3*m - 3*l = -2*m + 12. Suppose 5*w - w + 178 = -2*d, -m*w + 6 = 0. Let y = 205 + d. What is the greatest common divisor of y and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4448 - 4294. Solve -d = 101*m + 351 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 929\/6946 - 1\/302. Let p = t - -17\/46. Factor 0 + p*g**2 + 0*g + g**3 + 1\/2*g**4.\nAnswer: g**2*(g + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3292 divided by -363?\nAnswer: -3292\/363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + -1*sqrt(13))**2*-6.\nAnswer: -132 - 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/q**(-11)*q**(-24))\/(q**(-1\/10))**(-25))**(-1\/26) assuming q is positive.\nAnswer: q**(29\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*x - 20*x + 11*x.\nAnswer: -22*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 573 minutes after 11:30 PM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3 - 0. Let z(u) = -3*u. Let n be z(c). Let g = -5 - n. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 1088, 1079, 1064, 1043, 1016?\n\"Answer: -3*g**2 + 1091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 1204952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 585897992?\nAnswer: 2, 241, 303889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 75 and 2400.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 2*m + 1. Let u be v(1). Suppose 5*z - u*z = 8. Let q be 376\/32 - 5\/(-20). What is the highest common divisor of z and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -2*a - 2 - 14 - 20. Let h(z) = z**2. Determine p(h(t)).\nAnswer: -2*t**2 - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1586 + -25343\/16. What is the common denominator of u and -25\/4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1019 - 907. Calculate the least common multiple of 98 and f.\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3033 is divided by 74.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 37 and 310319.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/(-2)*(-14)\/(-4)*(9720\/(-63))\/(-90)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -1861.034 rounded to the nearest ten?\nAnswer: -1860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 6*p + 75. Let s be b(-12). Let k(j) = 18*j**2 - 11*j - 4. Is k(s) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 78 divide 13523113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -123\/6734 and -79\/910.\nAnswer: 33670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -14*r + 4*r + 9*r. Let h(c) = 3*c. Let a(m) = -13*m + 15. Let p(t) = -3*t + 4. Let n(l) = 2*a(l) - 9*p(l). Let v be n(4). Calculate v*h(q) - 5*i(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 50.02 + -50. Let y = 5.02 - m. Is y at most as big as -3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) be the second derivative of -15\/2*k**2 + 8*k + 0 - 1\/3*k**3. Let h be u(-10). Solve 5*v + h = -5 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -94323119654*v + 47161559824*v + 47161559830*v + 4*v**2.\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 15*s - 20. What is the tens digit of m(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 386 - 258. Is w a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = b**3 + 45*b**2 + 344*b - 215. Let d be q(-35). Put -0.6, 6, d, -0.04 in ascending order.\nAnswer: d, -0.6, -0.04, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2 and 3994807.\nAnswer: 7989614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 331*r + 4*c + 63 = 336*r, -5*r + 47 = 4*c for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -33 - -7. Let t = q - -26.000011. Round t to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 69333 = -3*z + 401, 4*z + 5*v = 92995. Is 70 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 435 + -437. Let x be 135\/(-162) + n\/12. Let h = 1 + -4. Put x, -0.2, h in decreasing order.\nAnswer: -0.2, x, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 9*o - 19. Let s = -2 + 8. Let p be z(s). Let w = -25 + p. Calculate the remainder when 48 is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -2*j**3 - 3*j**2 - j - 2. Determine z(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 966297 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -129*h - 226 = -355*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -8380892 * -0.4.\nAnswer: 3352356.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (-37488)\/2272*(-12)\/297?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1467556 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iowiwinon. What is prob of sequence oo?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -151\/180 - -8\/9. Let t(c) be the third derivative of -1\/24*c**4 + 0 + 2*c**2 + 0*c**3 + 0*c - d*c**5. What is the second derivative of t(k) wrt k?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2522000 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 762763 is divided by 2340?\nAnswer: 2263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -n + 32. Let w be f(24). Let x be (-4 + w)\/((-1)\/(-2)). Let s be 1\/(22\/18) + -1. What is the third biggest value in 0.1, s, x?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 2*s = 25. Let t = s + 27. Let r(h) = -3*h**2 - 2 - h**3 + 0*h**t + 5*h**2 + 0. Calculate r(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 + -13 + -6 + -3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6204614 by 5.\nAnswer: -6204614\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 + (1 - 0) - (24 + -32).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1130355 (base 7) in base 14?\nAnswer: 3999c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -j**3 - 4*j**2 - 2*j - 6. Let m be s(-4). Let n(d) = d**3 - 6*d - 7*d**2 + 2 - m*d**3 + 4. What are the prime factors of n(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.7577023 rounded to three dps?\nAnswer: -2.758","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 2, e: 1, j: 4, f: 4, h: 1}. What is prob of picking 3 f?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 42839 is divided by 60.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 13 + -5. Suppose 13 = o + i, 0*o + 5*o = 2*i + 65. What is the first derivative of h*f + 0 - f - o wrt f?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*m - m + 9. Let j(t) = t + 1. What is the smallest common multiple of j(m) and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9767331 is divided by 2569.\nAnswer: 2562","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5\/20 - (-18)\/(792\/(-715))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 6*a + 2*a - 3*a - 1. Let u(z) = 14*z - 2. Let j(o) = -o**3 - o**2 + 6*o - 4. Let i be j(2). Determine i*u(q) + 11*r(q).\nAnswer: -q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 70358134 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 58270.\nAnswer: 2, 5, 5827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -9 - 43 - 6 + 10 + 103*a with respect to a.\nAnswer: 103","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) be the first derivative of -s**4\/6 - 2*s**3\/3 - 2*s**2\/3 + 3. Factor d(b).\nAnswer: -2*b*(b + 1)*(b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 382 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 20630 and 16504.\nAnswer: 82520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.219 and 2.2?\nAnswer: 1.981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 4*h - 9. Let a(z) = -2*z**3 + 1. Let b be a(-1). Suppose 2*x + x = -b*p - 12, p = -h*x - 6. Which is greater: x or -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 10, z: 2}. What is prob of sequence zb?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -50 + 37 + 47 - 23.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 17536960?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 126 divide 27846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3353 - 1664. Let v = o - 849. Calculate the highest common divisor of 60 and v.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -82*f**3 + 4*f**2 + 17*f - 21. What is the thousands digit of p(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3 and 4734?\nAnswer: 4734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -26, 6\/11, 893 in ascending order.\nAnswer: -26, 6\/11, 2, 893","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1.6 + -0.4. Which is the nearest to 0.1?  (a) 0.4  (b) t  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 111110110 - -1010?\nAnswer: 1000000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(152) - ((sqrt(152) - sqrt(152)*-2) + sqrt(152)))\/(-2*(sqrt(2)*1 - sqrt(2) - sqrt(2))).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8\/3*((-841113)\/364)\/79?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1784 - 601 - 580 - 603 - 12*i**3.\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve g + 4*q = -25, 75*q + 589 = 5*g - 24*q for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3115.8341 - 3337.82. Let t = -222 - r. Round t to three dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5374740 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 562027?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uqe when three letters picked without replacement from {u: 3, e: 1, q: 5}.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = -4*i. Let j(b) = -3*b**2 + 43*b - 12. Let f be j(14). Suppose i = -0*m + f*m - 34. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8\/10*6030\/(-209844).\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 207 or -3655?\nAnswer: -3655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 497011400?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 4*u - 35 = 0. Suppose -u*q + q + 12 = 0. Suppose 0*g + 355 = 4*g - m, q*g - 267 = m. What is the remainder when g is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -7 + (-3)\/(-1) + -315. What is the tens digit of (p\/5 - -1)\/((-6)\/15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 324 and 445743.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) be the second derivative of -5\/6*b**3 - 6*b + 0*b**6 + 0 + 1\/7*b**7 + 0*b**2 + 0*b**4 + 0*b**5. Find the second derivative of g(n) wrt n.\nAnswer: 120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 15, k: 3}.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 364 + -373 + 3 + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/8 of a meter in millimeters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 167 + -172. Let u(m) = 2*m**3 + 2*m**2 + 6. Let s(l) = -3 - 3*l**2 + 8 + 4*l**2 + l**2 + 2*l**3. Give y*u(b) + 6*s(b).\nAnswer: 2*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that 2*q**4 - 32*q**3 - 1032*q**2 + 15680*q + 35200 = 0.\nAnswer: -22, -2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 1493249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 5*b = -2*c + 16516, 2*b + 8276 = 2*c. Factor -c*k + 4134*k - 18*k**2 + 6*k**5 + 66*k**3 - 38*k**4.\nAnswer: 2*k**2*(k - 3)**2*(3*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 112  (b) -2  (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*i**4*k**3 - 61*i**3*k**3 + 436*i**2*k**3 wrt i?\nAnswer: -72*i*k**3 - 366*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*g - 8 = -4*g, -5*n = -3*g - 32. Let w be 7\/21 - 7\/21. Solve 2 = f - 2*m + 5, -n*m + 16 = w for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 46799797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - 3 = 5*d, -31*i - d - 7 = -32*i. Solve -3*s = -i*q - 4*s + 5, 4*q - 10 = -2*s for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.4, 2.4, 53, 0.2, -5, -1\/31, -0.3?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 85 = -2*c - 5*l, 4*c - 112 = 4*l. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4928, 9850, 14770, 19688, 24604, 29518?\nAnswer: 34430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(8\/5)*w\/(w*w**(-10)\/w*w)*w)\/(w**9*w**0) assuming w is positive.\nAnswer: w**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(3\/8)\/o**(-8) assuming o is positive.\nAnswer: o**(67\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 2*v**2 - 3. Let y be t(2). Suppose 2*b = 4*d - 22, 5*b + 16 = y*d + 1. Suppose -846 = -d*s + 250. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 1, p: 4, c: 3, w: 5}. What is prob of picking 1 w and 2 p?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (12\/30)\/(4\/10). Is 15 a factor of -15*1\/(v - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1\/2 - (-24)\/(-40). Which is the biggest value?  (a) -0.06  (b) q  (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -816 + 811.07. Let t = s - 0.07. Let o = 116.2 + -116. Which is the nearest to 0?  (a) -1\/3  (b) t  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -96 in -1, 12, -3, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -798 = 385*z - 347*z for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m = -0*m - 32. Let l = 8\/9 - -196\/9. Find the common denominator of l and (-133)\/(-6) + 16\/m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:14 PM and 8:08 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3 + -2. Let h = -3.6 - 0.4. Let m = -128 - -127. What is the nearest to m in h, a, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 18*r**2 - 19*r**2 - 75*r**2 - 120*r**2 + 15*r**2. Let u(v) = 5*v**2. Calculate u(g(x)).\nAnswer: 163805*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -21 + 26. Suppose l*a - 100 = a. Is 25 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 90 minutes after 4:21 AM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -5*a + a. Let q(g) = -13*g - 12. Let u be q(-21). Let d be (-4)\/(1068\/u) + 1. Do a and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-110)\/(-385)*(-105)\/33?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/(m*m*m\/(m*m**(-3\/7))*m))\/(m*m*(m**(3\/7)\/m)\/m*m)*(m*m\/((m\/(m*m**3)*m)\/m)*m)**1 assuming m is positive.\nAnswer: m**(15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -l - 1. Suppose -4*i - 10 = 4*x - x, 4*x = 2*i + 16. Let o(t) = -14*t - 16. Let p(q) = -5*q - 6. Let j(w) = 3*o(w) - 8*p(w). What is x*n(d) - 2*j(d)?\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -165 in -31, 2, 2\/41, 1\/3?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5453*j**5 - 24*j**3 + 10236*j**2 + 3*j + 2?\nAnswer: -327180*j**2 - 144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -3 - ((-6)\/14 - (-119)\/49)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 305433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 118113 (base 13) to base 12.\nAnswer: 181813","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.1  (b) -7  (c) 0.06  (d) -2  (e) 11  (f) 1  (g) -325\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 3*q = -18, 0*q = -5*d - 4*q + 31. Let j = -100 - -120. Let n = j - 8. Solve -3*u + d + n = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = n - 2, -w + n + 3*n = 9 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 11802 divided by 6?\nAnswer: 1967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -17, -3, 2 in increasing order.\nAnswer: -17, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -186*2\nAnswer: -372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Do -2034 and -0.0538 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1056 or -1057?\nAnswer: -1056","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 2 from -1.82541224522.\nAnswer: -3.82541224522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/(-4) + 2\/(-4). Let g = j - -2. Let f = g + 2. Solve 5*i + 3*q = -25, 4 + 12 = -f*i - 2*q for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) -2  (b) -2\/3  (c) 3\/4  (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(162)*1)\/sqrt(6) + -4 + (sqrt(108) + 2)**2.\nAnswer: 36*sqrt(3) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 2461 = -1255. Does 96 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 214 + 124 = 63*q + 86. Solve -47*g = -5*r - 51*g - 5, q*g = -4*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 + (-127 + 122 - (16 + -1))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -7*s - 175. Give p(-8).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.2316907 centuries to decades.\nAnswer: 2.316907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 176*f**2 + 4*f - 13. List the prime factors of r(2).\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 200 (base 8) to base 7.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ecqx when four letters picked without replacement from zoqceeexcxc.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a day in hours?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -10*z**3 - 11*z**3 - 220*z + 48*z**3 - 13*z**3 - 12*z**3 as v*z**2 + i + m*z + f*z**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 7 and (-3)\/(27\/(-606)) - 25\/75?\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6 + 8. Let v = -954 + 2864\/3. Which is the closest to v?  (a) 1  (b) d  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -21\/20 and 66\/(-20)*98\/(-210).\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c**4 + 30182*c**3 - 35858328*c**2 + 14459501210*c - 1952525800423 = 0.\nAnswer: 407, 28961","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -v**3 + 7*v**2 + 22*v - 33. Determine p(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4242*i**3 - 8515*i**3 + 4293*i**3.\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.26 * -0.2.\nAnswer: 0.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -55*r - 4*n + 1654 - 47, -28 + 5 = -r + 2*n for r.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 32 and 320?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 34991 and 146326?\nAnswer: 1609586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d = -31 + 37 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j*j**(2\/17)*j*j*j\/j**(-2\/35)*j)**(-31\/2)\/(j**(-7)*j**(-1\/9))**(-9\/4) assuming j is positive.\nAnswer: j**(-66467\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 3, 128830 in increasing order.\nAnswer: 2, 3, 128830","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -67 + 41. Let z = v - -96. Let n be 27\/45 - 32\/z. What is the second biggest value in -5, 1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) be the first derivative of 2\/5*k**2 + 1\/5*k**3 - 6 + 1\/25*k**5 - 1\/5*k**4 - 4\/5*k. Factor x(r).\nAnswer: (r - 2)**2*(r - 1)*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -7 + 75*j**2 + 65*j**2 + 124*j**2 + 3 + 8 as q*j + m + y*j**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 8395188 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: What is the remainder when 98 is divided by 31?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 47 - 5*i - 47 + (-7*i + 0 + 0)*(6 + 1 - 4).\nAnswer: -26*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) be the third derivative of -2*h**2 + 1\/3*h**3 + 0 - 5\/24*h**4 + 1\/30*h**5 + 0*h. Let l(f) = -4*f**2 - 25*f - 3. Let g be l(-6). Determine m(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bnn. What is prob of picking 2 b?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 299.61 + -299.6. Suppose 0*n + 3*n = 0. Sort 0.3, w, n in increasing order.\nAnswer: n, w, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = r + 11. Let l be b(-8). Suppose -2*a + l*t + 16 = 0, -3*a + 4*t = -t - 25. Suppose -5*q + 187 - 67 = a*y, -2*q - y + 44 = 0. Is 5 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 25*p**3*z**2 - 410425*p**3*z - p**3 - 261*p*z**2 + 118*p*z - 179*z wrt p?\nAnswer: 150*p*z**2 - 2462550*p*z - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1251 = -785*f + 845*f - 2409 for f.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a = 357*p - 359*p + 12, -4*a + 160 = 9*p for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(500) + -2 - sqrt(500))*-5*-4 - (-2 + (((sqrt(500) + sqrt(500)*-3)**2 - sqrt(500) - sqrt(500)) + -2 - sqrt(500))).\nAnswer: -2036 + 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 172 - 171. Is 2 a factor of ((-14)\/(-28))\/(v\/72)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15 = 5*s - 3*w, -2321 = -2*s - 3*w - 2315 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 22754 by 4.\nAnswer: 11377\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s + d - 33 = 4*s, 5*d - 33 = 267*s - 264*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 68, 111, 154, 197?\n\"Answer: 43*c + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 221\/(-1521) + (3264\/(-216))\/(-34) - (-1)\/(-13).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 91 - 2897*l - 2897*l - 2891*l + 8684*l. Let m(d) = 2*d - 3*d - d. Determine z(m(t)).\nAnswer: 2*t + 91","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 20697426.5999983 - 20697416.4. Let l = k - 10.2. What is l rounded to seven decimal places?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -457423 + 44.3623967.\nAnswer: -457378.6376033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -151.9175 rounded to one decimal place?\nAnswer: -151.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 46 a factor of 54949852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 5*u - 28. Let f be w(7). Let a(o) = 9*o**2 + 25*o - 5. Is a(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1368*d**4 + 18832*d**3 + 15*d**2 + 2*d + 465088 wrt d.\nAnswer: -32832*d + 112992","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = v**2 + 15*v - 5. What are the prime factors of y(-25)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d - q = -10, q - 50 = 32*d + 110 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1785143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 105 + -332. Let r = -226.9 - i. Let z be (-4)\/(-42) + (-2)\/3. What is the smallest value in -0.4, r, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = b**2 - 9*b. Let d(c) = 6*c**2 - 12*c + 5. Let y(t) = 7*t**2 - 13*t + 6. Let g(q) = 6*d(q) - 5*y(q). Let k(v) = 5*g(v) - 4*x(v). Calculate k(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h\/((h**0*h)\/h))\/(h*h**5\/h))\/(h\/(h\/h**(1\/19))*h**(-5)*h) assuming h is positive.\nAnswer: h**(18\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.2  (b) 5  (c) 26516\/29  (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -6727681, -6727721, -6727761, -6727801?\n\"Answer: -40*i - 6727641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 254040 divided by -5.\nAnswer: -50808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1132 - -3021320?\nAnswer: 3020122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 23510*f + 25. Let o be r(19). Suppose 0 = 4*a - v + 231948 - 1125351, 2*a = 5*v + o. Let x = -916650 - a. Round x to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-6)\/(-8))\/((-12)\/192). Let c = h - -27. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -71\/306 and -113\/34422?\nAnswer: 1755522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 7.6 + 22.35. Let c = n + -38.4. What is c rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) be the first derivative of -7*v + 0*v**2 - 5\/3*v**3 - 7. Find the first derivative of u(b) wrt b.\nAnswer: -10*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -81.89 + 83.89. What is the nearest to u in -0.3, -2\/3, -19\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) be the second derivative of -7*u**4\/6 + 7*u**3\/6 - 9*u**2 - 25*u. Let x(s) be the first derivative of g(s). What is the units digit of x(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 6 + (-8 - -4) + 67. Suppose d = 15*a - 156. Calculate the remainder when 99 is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -16386 - -16383. Let o = -0.7 - 4.3. Which is the smallest value?  (a) 2\/5  (b) -1  (c) o  (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3\/4*r**2 + 1167\/2*r + 453963\/4.\nAnswer: 3*(r + 389)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*-6*(-1 + -3*3*(0 + -2 + sqrt(108) + sqrt(108)))*-6)**2.\nAnswer: -19035648*sqrt(3) + 182896704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 18 and 1404.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*g - 85 = -26*g. What is the biggest value in -3, g, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of -1 + (-3 - 0 - -118)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -2 + (-18)\/(-3) + -2. Suppose b = 3, 5*l - b + 11 = -v. Calculate the common denominator of -74\/9 and l\/6 + 32\/18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*c + 4*l - 1, -4*c - 144*l = -143*l + 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kuuuuuuk. What is prob of sequence kuku?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 18 = -o + 4, 0 = -5*o - 35. Let w(v) = -v**3 + 6*v**2 + 9*v - 8. What is w(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -89\/11312 and -121\/96.\nAnswer: 67872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 24*f**3 - 161*f**2 - 16*f + 1454214 wrt f.\nAnswer: 72*f**2 - 322*f - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1102 - -100122120?\nAnswer: 100121011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine m, given that 726*m**2 + 452*m**3 + 352*m - 480*m**3 + 80 - 482*m**2 = 0.\nAnswer: -1, -2\/7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -a + a**3 - 3*a**2 + 2 - 7 + 4 - 7*a**2. Let q be o(7). Let v = -71 - q. Is v a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (10 - 4) + 3 + (-5 - -1). What is the biggest value in 2\/3, 31, t?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 3*i**3 + 120*i**2 + 76*i - 18. Is x(-39) a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 78, 156, 236, 318, 402, 488, 576?\nAnswer: 666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 212 divide 1365420490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*g - 906 - 210. Does 15 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 1\/4 of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 101\/1442650 and -91\/6?\nAnswer: 4327950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -23*k**3 - 52*k**2 - 126*k - 28. Let w(n) = -5*n**3 - 13*n**2 - 31*n - 6. Let f(o) = -2*r(o) + 9*w(o). Determine f(15).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2375462 divided by 1187731\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 39672 is divided by 91.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1423618862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1658622644 - 0.1.\nAnswer: 1658622643.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1843 + 1862.896. Let z = g - -0.104. Which is the smallest value?  (a) 4  (b) z  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 3808, 7506, 11214, 14938, 18684, 22458, 26266?\n\"Answer: i**3 - i**2 + 3694*i + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2715 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r + 3*s - 12 = 0, -3*s + 0 - 12 = -3*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 538867103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = -y + 49, -71*p + 5*y + 80 = -66*p. Sort -5, p, 0, -4 in descending order.\nAnswer: p, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.079894nm in micrometers?\nAnswer: 0.006079894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -5\/3  (b) 10  (c) 1\/8  (d) 34  (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*c - 3 - 18 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 310 + 22*l - 14*l - 309 - 170*l**2 in the form a + t*l**2 + n*l and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert -20316636 (base 7) to base 2.\nAnswer: -110011111100110001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2407*y + 117 = 4703*y - 2569*y + 663 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -u**3 + 45*u**2 - 82*u + 102. What is the hundreds digit of z(42)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 557 minutes before 2:57 AM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 83\/763096 and 89\/724?\nAnswer: 763096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1430.8670525 + 1430.8. Let k = 115.067 + -115. Let s = l + k. What is s rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -24ac9545 - 0?\nAnswer: -24ac9545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1*5\/(-2))\/((5\/115)\/((-2340)\/(-2691))).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 272862022 - -0.03.\nAnswer: 272862022.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16111?\nAnswer: 16111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*c + 4000 = -7*c. What is the derivative of c + 230*q**3 + 488 - 914 wrt q?\nAnswer: 690*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/16*6*-2*(-588)\/(-126)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in thirteen eighths of a week?\nAnswer: 16380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 39?  (a) 2  (b) -198  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 860.3115 litres to millilitres.\nAnswer: 860311.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + sqrt(19) + sqrt(171) + (sqrt(171) + -1)**2.\nAnswer: -2*sqrt(19) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 800 = 5*d + l, -d - 493 = -4*d + 2*l. Calculate the smallest common multiple of d and 14.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nx when two letters picked without replacement from {x: 8, n: 2}?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -70, 17\/30, 8.4, 2\/3, 2 in decreasing order.\nAnswer: 8.4, 2, 2\/3, 17\/30, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*l**(-24)*l*(l**5*l*l)\/l)**3 assuming l is positive.\nAnswer: l**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by -346.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-14)\/(-15) - (-10 - 2432\/(-240)))\/((-418)\/(-1045))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*(sqrt(190)*-1 - sqrt(190) - sqrt(190)))\/(-1*sqrt(1000)))**2.\nAnswer: 171\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1.2 in 2, -2, 114, -5, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 55*b - 53*b - 14 = 2*k, -k + 2*b - 12 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-83)\/(-9) + (-4)\/18. Let b(y) = y + 3. What is the tens digit of b(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 5432, 10690, 15778, 20696, 25444, 30022, 34430?\n\"Answer: -85*o**2 + 5513*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 253 or 12463\/49?\nAnswer: 253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -97\/10674 and 27\/50998.\nAnswer: 458982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000000247 rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 11 - -11. Is (6 - 5)*277*o\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -i**2 + 17*i - 21. What is g(14)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -41369, -82774, -124311, -166046, -208045, -250374, -293099, -336286?\nAnswer: -380001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a meter in centimeters?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that 2*i**3 + 254*i**2 + 5200*i + 26368 = 0.\nAnswer: -103, -16, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1872268263?\nAnswer: 3, 23114423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2\/7, 2\/7, -0.7703, 1, 0.3, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vrrejttf. Give prob of sequence rvje.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 162 is divided by 30\/(-105) - 132\/28 - -78?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + 4*(-4*sqrt(425) + 1 + -1))**2.\nAnswer: -160*sqrt(17) + 108801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fefeeeee. What is prob of picking 4 e?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -2, -99 in descending order.\nAnswer: 5, -2, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*v - 21 - 24. Let y = -15 - v. Calculate the common denominator of 20\/(-48)*28\/y and 13\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -458?  (a) -5  (b) -0.3  (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 2 - 2)*(-19 + 5 - 5)*(-11*n - 2*n + 0*n) in the form s*n + r and give s.\nAnswer: -741","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 10174046 + -5?\nAnswer: 10174041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g = 2*g - 16. Suppose k = 2*p - 2, -3*k - 5 = -4*p - p. Calculate the smallest common multiple of g and (-15)\/90 + (-74)\/(-12) - p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1177997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3.579861mg to kilograms.\nAnswer: 0.000003579861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from jwjvvzjjjzzjbzb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 212 + -111 + -204 + 22?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 - (1 + (-697)\/(-85))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -741868*r**3 - 737580*r**3 + 1479446*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -39\/16150 and -23\/646.\nAnswer: 16150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1991*v - 2027*v - 2 + 2)*(390*v + 4 - 2 - 3*v) to the form l*v + b*v**2 + a and give l.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -445 divided by -5\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -2 + -1 + 10 + (-19 - -12)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c**4 - 366*c**3 + 15912*c**2 + 16280*c = 0.\nAnswer: -1, 0, 74, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -108795404 divided by -27198851.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 90313 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1.271 - 0.049. Let c = -8.03 + v. Let f = c + 1.05. What is f rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 6*v + 5*p = 4, -3*v = -4*p + 3. Let q = 5 + v. Solve -q = -2*o - 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -38*a**3 + 38*a**3 - 18*a**5 + (-a**2 + 0*a**2 + 3*a**2)*(-1 - 3 + 1)*(3*a**3 + 4*a**3 - 4*a**3).\nAnswer: -36*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -15 + 0 + 0 - 15*q + q**3 + 11*q**2. Let m be l(-11). Suppose 0 = 8*k - 5*k - m. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 28699690 and 1812612.\nAnswer: 172198140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:52 AM and 8:16 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 109217948 is divided by 712.\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 16.1837 rounded to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 49365525 by -583.\nAnswer: -84675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 197200 to the power of 1\/2, to the nearest integer?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-2424)\/(-21210))\/(8\/10 - 2))\/((-195)\/(-45)).\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 388463\/4100 bigger than 96?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6806, 27223, 61228, 108803, 169930, 244591?\nAnswer: 332768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 56958.99 kilograms to nanograms.\nAnswer: 56958990000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -132*j*m**2*o**2 + j*m**2 + 4*j*m*o**2 + 393*j*m + j - 2*o**2 wrt o?\nAnswer: -264*j*m**2*o + 8*j*m*o - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.1 + -0.1. Let o = -106 - -106.01. Let x(z) = -2*z + 6. Let g be x(2). What is the closest to g in s, -5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 5*d + 4)*(3*d + d - 2*d) + 2*d**2 - 3 + 3 + 7*d**2 - 13*d + 13*d + (1 - 1 - 2*d)*(-4*d + 2*d + 3*d) - d**2 - 3 + 3 + 1 - 1 - 2*d**2.\nAnswer: 14*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*h - h - 426. Let d = h - 70. Does 22 divide d\/3 - (-2)\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -1983, -2, 1, 326, -5 in descending order.\nAnswer: 326, 1, -2, -4, -5, -1983","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 4*g - 1220 = -g, -2*q + 4*g + 474 = 0. Suppose 0 = -26*i + 308 + 186. Calculate the highest common divisor of i and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) be the second derivative of 528*y**3 - 69*y**2\/2 - 54*y. Is l(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zu when two letters picked without replacement from {l: 1, u: 3, e: 3, z: 2, a: 2, k: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*q + 4*q + 0*q)*(4*q - 2*q - q) - 11*q**2 + 13*q**2 + 20*q**2.\nAnswer: 23*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4.392 + 0.098. Let n = 0.01 + k. Let o = -0.5 + n. Which is the smallest value?  (a) o  (b) -5  (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = z**2. Let r(k) be the second derivative of -5*k - 3*k - 2*k**3 + 3*k**3. Determine d(r(v)).\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from akkaaab. What is prob of sequence aaak?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5.131 - -0.131. What is the nearest to -1 in -1, y, 13\/16?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -7*t**4 - 1225258*t**3 - 10449710*t**2 wrt t.\nAnswer: -168*t - 7351548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = x**3 + 2*x**2 - 8*x - 3. Let t(c) = -c**2 + c + 1. Let y(j) = m(j) + 5*t(j). Let k(p) = p**3 - p**2 - p. Let q = -5 + 4. Calculate q*y(f) + 3*k(f).\nAnswer: 2*f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((r\/(r*r*r*r**2))\/(r*r\/(r\/(r\/((r*r*r**(1\/5)*r)\/r)))))**17)**28)**7 assuming r is positive.\nAnswer: r**(-63308\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = d**3 - 9*d**2 + 16*d + 5. Let s be (-3)\/(-2 - -5) + 8. Let a(k) = 2*k**2 + 9*k - 3. What is the remainder when a(-8) is divided by q(s)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 2*f**3 - 19*f**2 - 11*f + 5. Let h be k(10). Let m = 0.2 + 0.3. Let p = 0.1 - 0.2. Sort p, h, m in descending order.\nAnswer: m, p, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (12354 - 322 - 401 + 27047 + 8046 + 10786)*(r**4 + 2*r**4 - 4*r**4).\nAnswer: -57510*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3139 - 3135. Solve -j = b + d*j + 13, -4*b + j + 11 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Find p, given that p**2\/4 - 79*p - 317\/4 = 0.\nAnswer: -1, 317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 4*o**3 + o. Suppose -5*g - 7 + 2 = 0. Determine k(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 52 - 36 - 16 + 8539*n as d + q*n and give q.\nAnswer: 8539","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10 - 11234*l**3 + 11237*l**3 - 10.\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 5, -4, 10, 4 in ascending order.\nAnswer: -4, -3, 4, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -89, -92, -95, -98, -101?\n\"Answer: -3*j - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 13866042*l**3 - 3679788*l**2 - 4.\nAnswer: 83196252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 5 - 4 = 0. Let r(k) be the first derivative of -k**2\/2 + 5. Let y be r(g). Solve -29 = 6*p - p + m, -y = -p + 2*m for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m**7)\/m**3)\/(((m*m\/m**(-1\/4))\/m*m)\/m)**19*(m\/(((m*m*m**(-2\/3)*m)\/m)\/m))**(-2\/161)\/(m**(1\/5)\/m*m**(2\/3)) assuming m is positive.\nAnswer: m**(-179917\/9660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -100599*h*r**3 - 184492*h*r - 52*r**3 + 3*r**2 wrt r?\nAnswer: -603594*h - 312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 less than or equal to 5\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -2*v**2. Let r(w) be the first derivative of 0*w**3 - 5\/2*w**2 - 5\/24*w**4 + 0*w + 1. Let n(k) be the second derivative of r(k). Determine i(n(t)).\nAnswer: -50*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bmbacbc. Give prob of sequence babb.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 555 = 163*x - 200*x for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 15*g + 1 + 37*g + 18*g - g**3 - 13*g in the form o*g**3 + u + m*g**2 + q*g and give q.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -48502*((-7)\/(-2) - 4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = b**3 + 5*b**2 + 2*b + 2. Suppose -3*m = -0*m + 27. Let y = 4 + m. What is f(y)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d**(1\/3)*d)**(-17\/5)*(d**(1\/13)\/d)\/(d**(-4)*d) assuming d is positive.\nAnswer: d**(-1142\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -0*z + 2*z + 4*y, -4*z - 5*y + 10 = 0. Let s be (-2)\/(-8) + 39\/132. Which is the second biggest value?  (a) z  (b) 1  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -202*w - 580. Suppose -4*j = -j. Suppose -3*i + 24 = 2*y - j*i, 5*y = 3*i + 81. What is the remainder when k(-3) is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) be the third derivative of c**6\/40 + 83*c**4\/12 - 127*c**3\/3 + 741*c**2. Find the first derivative of k(s) wrt s.\nAnswer: 9*s**2 + 166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 18*1*7*1\/21. Let z = -13 + 20. Which is smaller: z or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g = 3*g. Let h = 207 + -443. Let x = h - -231. Which is the biggest value?  (a) x  (b) 1  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4.5 - -5. Let n be (-2)\/(-5) - (-28)\/(-45). What is the nearest to 0 in n, -5, z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5\/(-70) - (-430)\/140\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -27.04 and -16345672.\nAnswer: -16345699.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.684174mm to centimeters.\nAnswer: 0.2684174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11857 is divided by 2945?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 2 q when three letters picked without replacement from {n: 1, p: 5, q: 2, z: 3, d: 1}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 54 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -243 = -2*d - 5*m, -2*m + 23 = -4*d + 569. Calculate the remainder when d is divided by 35.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**1\/(d**(-1\/11)*d)*(d\/d**(3\/5)*d)**19 assuming d is positive.\nAnswer: d**(1468\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = 0*v**2 - 7 - v**2 + 7*v + 4. Let u be w(5). Let k = u - 12. Sort k, 0.06, -0.4 in increasing order.\nAnswer: k, -0.4, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 387 = 3*f, -2*f + f = 1. Let y = -39 + g. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -2*l + 4. Let m be n(4). What are the prime factors of m\/18 - (-1524)\/54?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*x**4\/3 + 7*x**3\/3 - 130*x**2\/3 - 352*x\/3 + 32.\nAnswer: (x - 6)*(x + 4)**2*(4*x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -145*n**3 + 3*n + 44.\nAnswer: -870*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -142, -137, -132, -127, -122, -117?\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.01929991 or 12\/11?\nAnswer: -0.01929991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 18*r**2 + r - 1. Suppose 0*f = 4*f - 4. Let k be m(f). What is the greatest common factor of k and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -5*x + 1. Let i be s(1). Let k = 9\/68 + 1\/1020. Which is the third smallest value?  (a) k  (b) 0  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y - j + 4 = 0, 377*y - j + 14 = 375*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 98 at most 97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2695 and 355905.\nAnswer: 17439345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/o**(10\/7))\/o**(2\/13)*(o\/((o\/((o*(o\/(o**(-10)*o))\/o)\/o))\/o))\/o**1)**46 assuming o is positive.\nAnswer: o**(35236\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 2, l: 3, f: 1, v: 1}. What is prob of sequence fvl?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is z in -5*z**3\/2 + 8305*z**2\/2 + 62850*z = 0?\nAnswer: -15, 0, 1676","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (4 - (-116)\/(-24))*(-4)\/10. Find a, given that -1\/3*a**3 + 0 + 2\/3*a**2 - w*a**4 + 0*a = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-43)\/2)\/((-2)\/4). Let q = i + -131\/3. Let k = 3 - 5. What is the biggest value in q, 3\/5, k?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 61696 is divided by 791?\nAnswer: 789","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 297.16 + -297.06. Let v = 40 + -29. Let r(a) = -a**2 + a + 4. Let j be r(0). What is the nearest to -1\/2 in j, v, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from epeaa. Give prob of picking 3 e.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -i**2 - 3*i + 6. Let o be f(4). Let b = 36 + o. Suppose 5*s - 2*n - 4 - 207 = 0, -4*s - 5*n = -149. What is the remainder when s is divided by b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q**2 + 1389*q - 159120 = 0 for q.\nAnswer: 208, 255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4114*s - 4057*s - 570 = 0 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -10.29 + -1.11. Let d = -11 - h. Which is the nearest to 2\/5?  (a) -3  (b) -2\/11  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 37354455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3469?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9849127.\nAnswer: 9849127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 256\/280 + (-4)\/(-14). Let k = 0.03 - -0.17. Which is the nearest to k?  (a) n  (b) 0.4  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oqr when three letters picked without replacement from foqfoqqorooqo.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: ((-26)\/(-39))\/((-20)\/(-105))\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4204646 + -12?\nAnswer: 4204634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -62 + 44 - (7 - (5 - 23))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32305 = -22*z + 15*z. Let f(o) = 20*o**3 + 2*o**2 - 2*o + 3. Let v be f(2). Suppose -6*l + z + v = 0. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 7 = -8. Suppose -2 + 1 = 3*r - 2*p, -s*p = 4*r + 32. Let k = 2 + r. Do 2\/7 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 344 is divided by 162.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5370*j**5 - 182*j**3 - 3122742*j**2.\nAnswer: 322200*j**2 - 1092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -16, -4, -5 in decreasing order.\nAnswer: -4, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 386590 is divided by 1145.\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 117*v**3 - 216*v**3 - 18*v**2 + 10*v**2 + 8*v**2.\nAnswer: -99*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put together -2 and -2.45709025.\nAnswer: -4.45709025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -67\/51 - -28\/17. Let u = -4 - -5. Let y be u\/(-4)*1\/3. Put 0, y, t in increasing order.\nAnswer: y, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) be the third derivative of h**8\/420 - 4*h**7\/525 - 3*h**6\/25 - 32*h**5\/75 - 23*h**4\/30 - 4*h**3\/5 + 2*h**2 - 200. Find c such that w(c) = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 256468446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 54 less than -0.30248?\nAnswer: -54.30248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 14c + 11d?\nAnswer: 26a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(132)*-1)\/sqrt(11))\/(sqrt(6)*2*5) + -2.\nAnswer: -2 - sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*k + 2560 = -4*k + 29*k for k.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -t**3 - 24*t**2 + 10*t + 5. Let w(h) = h**3 + 36*h**2 - 16*h - 7. Let n(o) = -7*j(o) - 5*w(o). Determine c so that n(c) = 0.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qz when two letters picked without replacement from qqqnqzqqzvqqqgqq?\nAnswer: 11\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 144 divided by -269?\nAnswer: -144\/269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*m + 3*h = -3*m, 5*m - 4*h = 18 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 659868 a multiple of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -13.007 - -0.816. Round o to 1 dp.\nAnswer: -12.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:56 PM and 5:11 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 96.4462651 to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the first derivative of 17*w**2 + 71*w + 90. What is the tens digit of l(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -101\/18 and (-6)\/(-8) + 2666\/3432*-1.\nAnswer: 2574","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c**5 + 2066*c**4 - 2116*c**3 - 49624*c**2 + 8432*c + 165440 = 0.\nAnswer: -1034, -4, -2, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 273195 and 12.\nAnswer: 1092780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 2\/9, 2, -0.38, 0.021 in descending order.\nAnswer: 4, 2, 2\/9, 0.021, -0.38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 6247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -18 - -34. Let f be (3\/(-12))\/((-4)\/z). Let v(r) = 7*r**3 - 1 + 2 - 3*r**3. Give v(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26274.\nAnswer: 2, 3, 29, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let -1\/2*n**4 + 18*n**2 - 18*n + 0 + 1\/2*n**3 = 0. Calculate n.\nAnswer: -6, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -7, -10, -13?\n\"Answer: -3*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*p**2*s**2 - 1579754*p**2 - 18*p*s**2 + 301*p*s - 17*p + 3*s**2 wrt p.\nAnswer: 8*s**2 - 3159508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -6 + 8. Suppose 4*n - 231 = -0*n + 3*x, 3*n = -f*x + 152. Is n 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 219225, 219286, 219503, 219954, 220717, 221870, 223491, 225658?\nAnswer: 228449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -440265 - -22013341\/50. Let q = -166897\/20 - -8342. Find the common denominator of q and f.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 29 + -24. Suppose -6 = -g - 3*r, -8 = -3*g - 2*g - 4*r. Suppose -9 = -5*f + 2*o + 11, x*f - 5*o - 20 = g. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12455881001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 22 + (-16 - -14) + -17?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.003034 rounded to 4 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 243399 - 157436. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 + 18 = 6*p. Suppose -7 = -y - 4*t - 0, -y + 3*t = 0. Calculate the lowest common multiple of y and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = t - 35. Calculate l(22).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:15 AM and 12:47 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 - 14 = 2*j. Let x be j*(4 - 3) - 7. List the prime factors of (-1)\/(-1)*(29 + x).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -2*u + 0*u - 1 - 3*u + 4*u. Let f be h(-7). Let g = f + -4. Solve 0 = -5*d + 4*k + 23, -2*k - 5 - 5 = -g*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4.05 + 4. Let s = -88.249 + 92.249. Sort 1, c, s in ascending order.\nAnswer: c, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 420627 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 3819 a factor of 592785180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*a + 2*a = -a. Solve 3*j + 4*p + 0 - 7 = a, 0 = -4*j + 2*p - 20 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 7, 2, -3, -1 in descending order.\nAnswer: 7, 2, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -9 - -13 - (-51)\/(-13). Which is smaller: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = v**3 - 81*v**2 + 231*v + 977. What is the tens digit of a(83)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 0 - 1102211?\nAnswer: -1102211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:51 AM and 11:11 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -1123313231 (base 4) to base 16\nAnswer: -5bded","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -2*c. Suppose -3*i = i + 44. Let f(b) = 4*b - 11. Let l(n) = n - 4 + 2 + 0. Let t(v) = i*l(v) + 2*f(v). Calculate t(j(o)).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -8 + 36. Suppose 2*r + 2*n = 16, -2*r + n + i = 6*n. What is the highest common divisor of r and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 0.3928508g?\nAnswer: 0.0003928508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -612569, -612559, -612543, -612521?\n\"Answer: 3*z**2 + z - 612573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 5410 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 5*f + 5 = t, 3*f + 12 = 3*t. Suppose t*i = -25, -3*l + 2*i = -3 - 55. What is l rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -g**3 + g**2 - g + 3. Let l be a(0). Suppose 3*r = 3*o + 18, 5*r - l*o = o + 27. Suppose -16 - 29 = r*h. Is -15 equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -6, -42\/29, 39, -4, 3\/2, 4?\nAnswer: -42\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*h**3 + 14*h**2 - 72.\nAnswer: -2*(h - 6)*(h - 3)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -38836146, -77672289, -116508432, -155344575, -194180718, -233016861?\n\"Answer: -38836143*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(4032) + sqrt(4032) + sqrt(4032) + sqrt(4032)*1)*-5)\/(-3*(sqrt(144) + sqrt(144) + sqrt(144)*-2 + sqrt(144))*-6).\nAnswer: -100*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -158633*h**3 - 5*h**2*v**2 - 887619*v**2 with respect to h.\nAnswer: -475899*h**2 - 10*h*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:45 AM and 6:57 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 155646*n**2 + 0*n**3 + 1194 - n**3 - 155812*n**2 wrt n?\nAnswer: -3*n**2 - 332*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*n - 430 = 25*s + 2*n - 290 - 211, 0 = s - 4*n - 113 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*b + 24 = -192. Suppose 3*v + 2*r = -b + 1720, -r = -v + 559. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-5 - 0) + 2)\/1. Let q(i) = -i - 2. Let y be q(-3). Let p = y - x. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -d + 4. Let j = -2 + 14. Suppose -7*w + 3*w - j = v, -2*v - 8 = 4*w. Solve d*h = v*o - 3*o + 20, 3*o = -12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 6a2bcfa + 7?\nAnswer: 6a2bd01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.11 take away 4.653?\nAnswer: -4.763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z = -8 + 2. Let g = -33650 - -33650.2. What is the smallest value in -2\/13, g, z?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 2*p**2 - 8*p - 2. Let z be d(4). Let n be -36*(-15)\/z*(-7)\/21. Suppose t - 96 = -5*k - 2*t, 4*k - n = 2*t. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 268898 + -601824.93\nAnswer: -332926.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) be the third derivative of -y**8\/1344 - y**7\/280 + 7*y**6\/480 + 7*y**5\/240 - 3*y**4\/16 + y**3\/3 - 38*y**2. Find z such that v(z) = 0.\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 3*z = -3079, 2*s = 7*z - 11*z + 3080. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -21\/4513910 and 101\/1805564.\nAnswer: 9027820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:04 AM and 3:11 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (63\/(-14))\/(-3)*(-1)\/3*-7.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/((-17)\/(306\/12)). Put g, 197, 3 in decreasing order.\nAnswer: 197, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -648217, -648228, -648239, -648250, -648261?\n\"Answer: -11*u - 648206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = q**3 + 10*q**2 + 23*q + 14. Let j be i(-7). Which is the closest to 0.047?  (a) j  (b) 5  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -104311420 (base 6) in base 5?\nAnswer: -441004421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1 - (2 - 1))\/1. Let g(s) = -3*s - 2. Suppose -3*b - 6 = z, -z = 7 - 4. Let d(r) = -r + 1. Let k(o) = b*g(o) + 4*d(o). Calculate k(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 17 - (-8 + (16 - -2 - 1)) - 22\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (1*sqrt(1573)*-3 - (sqrt(65)\/(sqrt(10)\/sqrt(2)*-3))**2)*6.\nAnswer: -198*sqrt(13) - 23\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*t - 6*t + 30. Let h(d) = d**3 - d + 1. Let g(i) = 2*i**3 - 9*i**2 - 12*i + 11. Let k(o) = g(o) - h(o). Let q be k(t). Solve -2 = c - q for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 2*p + 28. Determine w(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 20\/40 + 15\/2. Let a be (-1 - 0)\/((-3)\/33). Suppose 5*k - a = -4*n, 0*n - 4*n + k = -17. Solve -4*f - y = -n for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (10*t**3 - 13*t + 37*t - 5*t**3)*(2*t - 2*t + 3*t) in the form z*t + d*t**3 + l + i*t**4 + g*t**2 and give i.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = i - 9. Let x be 334\/i + 12\/(-18). Let b = x + -13. Is b a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 11 = 5*a, 0*a = -3*a + 3. What is the least common multiple of 6 and (-2 - -5) + 76\/n?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -783389*j**6 + 477776*j**2.\nAnswer: -94006680*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) be the second derivative of -2*v**5\/5 + 10*v**4\/3 - 20*v**3\/3 - 61*v + 3. Let y(j) = -j**2 + j. What is -u(l) - 40*y(l)?\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*b**4 + 198*b**3 + 2619*b**2 - 21384*b + 34992.\nAnswer: 3*(b - 3)**2*(b + 36)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10*7*(-10)\/70?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 19.31100541+95.1\nAnswer: 114.41100541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 145\/257309136 and 79\/506016?\nAnswer: 514618272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 0 - -12?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -23 - -74. Let s(j) = 8 + 4*j + 52*j**3 + 5*j**2 - r*j**3 + 5*j**2 - 2*j**2. Calculate s(-8).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -5078885*l - 454553. Let d(o) = 961*o + 86. Give 10571*d(j) + 2*h(j).\nAnswer: 961*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -6076877556 take away -3744?\nAnswer: -6076873812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 10.857 and -18?\nAnswer: -195.426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -65*o**2 + 2277 - 40*o**2 + 2317 - 4566 to the form n*o**2 + p*o + f and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 6*x = s + 5, 0 = -5*s + 2*x + 26. What is the nearest to -1\/3 in -4\/5, 0, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1100100 (base 2) to base 7.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) be the second derivative of -17*c**3\/6 + c + 1256. Let m be (2\/3)\/((-4)\/(-6)). Calculate a(m).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 20 and 865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -5e9a (base 16) in base 8?\nAnswer: -57232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 3 - 21 = 2*b, 5*r - 16 = -b. Let l(t) be the first derivative of 2*t**3 - 2*t**2 + 5. Let u(x) = 7*x**2 - 5*x. Give b*u(w) + 5*l(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*t**2 + 2*t**2 + 0*t**2 + (2*t + 1 - 1)*(0*t + t + t) + 3 + t**2 - 3.\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 1913 + 617 = 4*k, -k = 3*q - 637. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -b**2 + 15*b + 3. Let r be s(11). Let p = 52 - r. Solve -2*u = 2, 9*t + 5*u = p*t - 17 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.346712 - -0.153288. Let t = 1\/259 - -509\/2331. What is the biggest value in 2.9, 4, t, q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 92.13285 days?\nAnswer: 7960278240000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39 = 3*k - 57. Suppose -53989 = k*t - 19*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -84394, -168795, -253202, -337615?\nAnswer: -422034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -174 + 74 - 39 - -68\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2472 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: Divide 227 by 9.\nAnswer: 227\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1927, 6, 5 in decreasing order.\nAnswer: 6, 5, -1927","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -18*j**3 - 3 + 445*j + j**2 - j**4 - 443*j + 4 to the form d + i*j**3 + y*j + p*j**4 + t*j**2 and give i.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11 + 23 + 65*n**3 - 12 + 274*n**3.\nAnswer: 339*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -88, -240, -442, -700, -1020?\nAnswer: -1408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 5*n - 6. Let v(p) = -6*p + 7. Suppose 4*y = -5*y - 36. Calculate y*v(d) - 5*q(d).\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51*c - 180 = 6*c. Solve 0 = 2*s - 3*d + 4, 2*d = 4*s + c*d + 24 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = -0*u - u, r + 6 = u. Suppose 56 + 199 = u*t. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 2*m**2 + 6*m + 7. Suppose 2*r - 6*r - 39 = -5*d, 3*r - 18 = -3*d. Calculate the least common multiple of a(-5) and (224\/d)\/(-8) + 40.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - -6 - 2 - (3 + -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (11 - -2) + (-320 - -318).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -m - 2*m, -1628 = -x + m. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 691\/9 - 18\/(-81) is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 27 + -10. Let z = j - 11. Let b = -3 + z. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 42*w**2 - 8008805 + 8008805.\nAnswer: 42*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*z**3 + 2862372*z**2 - 512129153340*z + 19968683549724.\nAnswer: -4*(z - 357777)**2*(z - 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -22*w + 80. Does 6 divide r(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 0*v**2 + 7*v - 7*v - 7*v**2 + 6*v**2. Let p(j) = -j - 1. Let k(w) = 32*w + 20. Let b(m) = -k(m) - 20*p(m). Determine q(b(r)).\nAnswer: -144*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) be the first derivative of -2*f**3\/3 + 7*f**2\/2 - 2885. Let u(h) = h - 15. Determine u(w(i)).\nAnswer: -2*i**2 + 7*i - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (57\/(-6))\/((-4)\/272) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 59 = -1. Suppose 3*q + q - 55 = 3*k, 4*q - v = 2*k. Let z = q - 5. What is the highest common divisor of z and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 26.9 + -23. Let x = 4 - s. Which is the nearest to x?  (a) 3  (b) 4\/7  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2 - 0. Suppose -f*h = -2*p + 5*p + 3, 15 = -3*h - p. Let w = h - -8. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -19*28\/(-399)*6\/76.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -47 + 8 = -13*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 13322149?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 1172.348 - 18.33342\nAnswer: 1154.01458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 4639, 0.4, -4, 1 in ascending order.\nAnswer: -4, -3, 0.4, 1, 4639","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 4833 a factor of 129331080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1 - -12. Suppose 2*b = -5*d + 6*d - 5, 5*b - 3*d = -13. Calculate the lowest common multiple of 11 and (r\/b)\/((-1)\/2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -y. Let t(g) = g. Suppose -14*z + 10*z - 48 = 0. Let u be 38\/(-14) + (-14)\/49. Let c(a) = -6*a. Let l(v) = u*c(v) + z*t(v). Give l(f(o)).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 330\/9 - 4\/6. Let l be (56\/(-21))\/(100\/15 - 6)*-1. Find the common denominator of 22\/9 and 249\/q*(l\/6)\/1.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 + 2 + 2 - (-6 + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 9387816*m**4 + 47942918*m.\nAnswer: 112653792*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 16087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -n**4 - 3*n**3 - 6*n**3 + 2*n**4 + (3*n**2 + n**2 - n**2)*(-n**2 - 1 + 1).\nAnswer: -2*n**4 - 9*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 w and 1 t when four letters picked without replacement from {h: 1, d: 2, g: 4, t: 3, w: 4}.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -193317\/22 + 8789. Let y = 4\/11 - l. Let z = 43\/160 + -3\/160. Sort -0.5, z, y in ascending order.\nAnswer: y, -0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19952 is divided by 449.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14597651?\nAnswer: 14597651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 195 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Add 75065745.14 and -0.1.\nAnswer: 75065745.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((5*a - a - 3*a)*(3 - 4 + 2) - 18*a - 4*a - 17*a)*(-4 - 5 - 4).\nAnswer: 494*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -72789565, -145579128, -218368691, -291158254, -363947817?\n\"Answer: -72789563*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1955891 is divided by 778?\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 189399 is divided by 981.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*s - 3765 = 3253. Is s even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is g in -3*g**5\/2 + 2046*g**4 + 403266*g**3 + 17107659*g**2 - 275243265*g\/2 + 120108663 = 0?\nAnswer: -93, 1, 6, 1543","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -58, -39, -20, -1, 18, 37?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 59\/176136 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) be the third derivative of -t**7\/1890 + t**6\/180 - t**5\/180 - 5*t**4\/108 + t**2 + 191. Solve l(i) = 0 for i.\nAnswer: -1, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w**3 - 155276*w**2 - 2174852*w + 7921932 = 0 for w.\nAnswer: -17, 3, 38833","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1673\/(-15057) + (-163)\/(-9).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 117700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = 2*l - 14, -4*d + l + 8 = 33. Let y = 10 + d. Suppose 0*q = -5*q - b + 38, 33 = 3*q + y*b. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -13\/84 + -48487\/420. Let z be 2\/(-42)*(-74543)\/(-30). Let c = m - z. Calculate the common denominator of 17\/12 and c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = g**2 + 27*g - 2. Let v be b(0). Let d = -41 - -15. Let k be d\/24 - v\/8. Which is greater: -2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3*2\/(-1)*10\/240\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -15157, -15200, -15431, -15946, -16841, -18212, -20155?\nAnswer: -22766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j**5\/3 - 3466*j**4\/9 - 1214*j**3\/9 + 33506*j**2\/9 + 1160*j - 2312 = 0.\nAnswer: -3, -1, 2\/3, 3, 578","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -18023*q + 2. Let x(w) = -36082*w + 5. Determine -2*x(s) + 5*y(s).\nAnswer: -17951*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -4*k. Let t(y) = 6*y. Let b(v) = -v**2 - 5*v + 4. Let n be b(-4). Let f(u) = n*q(u) + 5*t(u). Let h(j) = -j. Determine h(f(a)).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 7*v - 3*v - 10 + 4*v. Let t be x(7). Round t to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 4ca3a - 9?\nAnswer: 4ca31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.7 - 0.4. Suppose 3*r = 2*r - 2. What is the second biggest value in 0, b, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4485*t + 4489*t - 17941*t + 4504*t + 4485*t.\nAnswer: 22*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-70)\/30 - -2 - (-20)\/36.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 530 (base 7) to base 3\nAnswer: 100212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(-6)*868\/62*(-4)\/(-84)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 256*m = 203*m + 848 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1238172540?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y**4 - 575*y**3 + 545*y**2 + 2835*y + 1710 = 0.\nAnswer: -1, 3, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (96 - 96 + 52*v**2)*(3*v - 3*v + v**2)*(-3 - 1 - 4) as l*v**3 + r*v**2 + u*v**4 + o + x*v and give u.\nAnswer: -416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l**(-1)*l)\/l)**(-17\/2))**(-40) assuming l is positive.\nAnswer: l**(-340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = u + 6. Let a be w(-4). Suppose -a*r + 2274 = r + 5*d, -5*d = 4*r - 3037. Suppose l + o = -3*o + r, 0 = 3*l - 3*o - 2244. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3215301 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -584  (b) -7  (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.92 - -0.08. Let b = -854 - -6835\/8. What is the nearest to j in -3\/4, b, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -j**2*o**2 + 6*j**2*o - 11894816*j**2 + 20*j*o**2 - 2*j*o + 32*j + o + 26877 wrt j.\nAnswer: -2*o**2 + 12*o - 23789632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = -2*j + 18. Suppose -3*p = -5*m, 3*m = -2*m. Let a be p\/(-6)*1\/2. Solve -v - v + j = a for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/8 of a day in minutes?\nAnswer: 1260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*x + 5*x - 2*x - 5*x**2.\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2343077758?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-3)\/2*(-60)\/(-9). Sort r, 1, 1\/3.\nAnswer: r, 1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 166.8 to the nearest 10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -10 + 7. Let r(m) = m**3 + 5*m**2 - 8*m. Let q be r(-6). Let z = q - j. Solve 0 = 2*g - 5*f + z, -4*g = 2*f + 2*f - 12 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1544 and 308038.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/(-23 + 837\/54))\/(1*(-1)\/105).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.03 + -0.02. Let d = -0.35 + z. Let w = 28 + -26. Sort 5, w, d.\nAnswer: d, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -66 - (7 - (-53 - -114))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -62\/2332305 and 20\/155487.\nAnswer: 2332305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 2831 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from grrgruuuuusuuuuu. What is prob of picking 2 g and 1 u?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 1 + 0)*(11*l + 13*l + 11*l) as t*l + b and give t.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 972960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/(12\/(-1)))\/((4235\/(-2100))\/(-121)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the third derivative of n**4\/8 - 31*n**3\/6 + 5*n**2 + 4. What is a(12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*k - 2*k. Let s be k + (0 - 0) + -3. What are the prime factors of -1*(2 + s + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -417\/17 bigger than -26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:30 PM and 3:19 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -19210 - -47490. Suppose 4*j - 18*j + f = 0. Suppose -d = -2*m + j, m - d + 5*d - 1001 = 0. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -62 less than or equal to -26573\/421?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -103245\/3148 or -32?\nAnswer: -103245\/3148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from whuuhuhwxuuvvh. What is prob of sequence xvw?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1 - -3fd?\nAnswer: 3fe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1 + -7 - (-252)\/6. Does 6 divide (-15)\/(-5) + -9 + n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 40223 + -27153. What are the prime factors of d?\nAnswer: 2, 5, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:21 PM and 1:31 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -841, -2, 0.3, -0.3, 4\/3, -3\/7?\nAnswer: -841","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*v**2\/9 - 52*v\/9 - 80\/3 = 0. Calculate v.\nAnswer: -20, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -w**3 - 67*w**2 + 144*w + 411. What is m(-69)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*b**3 + b**3 + 0*b**3)*(3*b + 1 - 1) + 2009*b**4 - 640*b**4 - 759*b**4.\nAnswer: 604*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 16 - 13. What is the second smallest value in 5, t, -0.4, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (2\/(-3))\/((-1)\/6). Suppose -r*w - 2*a + 1 = 5, 0 = -w - 3*a - 6. Are w and -2\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -15.3 - -15. Sort y, -1, 0.2 in decreasing order.\nAnswer: 0.2, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*c + 10, -52*c + 12 = 4*m - 50*c for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 94, 25897 in ascending order.\nAnswer: 0, 94, 25897","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9*-108.8.\nAnswer: 979.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (771*a - 72*a + 22*a)*(-1 + 1 - 1).\nAnswer: -721*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -4\/71, 5, -2\/15, -0.5, 0.1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 - (1 + 29 - (-25 + (-14 - (12 + -45)))).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -15*z + 5. Let i(s) = -7*s + 2. Let f(k) = -3*h(k) + 7*i(k). Let m(p) = p. What is f(x) + 6*m(x)?\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*h**3 - 4*h**3 - 8*h**3 + 8*h**2 + 2082*h - 2081*h in the form f*h + z*h**3 + o*h**2 + m and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 615131 (base 7) to base 13\nAnswer: 38a62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + 1 + 19 + -82 + 60?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 < -144\/400871?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out -34.22 * -8917.\nAnswer: 305139.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 39, -3, 732, 3.\nAnswer: -3, 3, 39, 732","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a - n - 12 = 2*n, 4*n + 10 = -2*a. What is the third biggest value in 5, -2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.0302 and 4.51416?\nAnswer: 4.48396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-33)\/(-44)*18\/540.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -393\/1742 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 181.8534 months to millennia.\nAnswer: 0.01515445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 4553072?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -2*m - 7. What is t(1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1 + -12)*(-5 + 4). Suppose 113 = 3*x - t. Is x a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.38 - -0.28. Let p = 0.08 + 1.92. Which is the closest to n?  (a) p  (b) -1  (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1\/102 - -2066\/51. Let p = -739 - -4339\/6. Calculate the common denominator of u and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 (base 13) in base 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*i**3\/5 - 426*i**2 - 12*i\/5 + 1704.\nAnswer: 3*(i - 710)*(i - 2)*(i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1006*b - 9506 = -1103*b. Solve 32*s = 62 + b for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1265*u - 1257*u - 18*d = 38, -5*u + d = 7 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = 2*u - 4*a, u - 2*a = 2*a - 18. Let f be u + 1 + 2 + 1. Suppose f*r - r - 19 = 0. List the prime factors of r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 414 and 4?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1939381 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = 2*h + 11, -4*r + h = 5 - 21. Solve -2*y - r = y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10085262*p + 45772 + 10085257*p - 45772.\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.4  (b) 0.5  (c) -2\/7  (d) -6.1  (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-186308)\/(-27748))\/((-1)\/14*2).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -26 - -26. Solve -h = -v*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -80 - -397\/5. Let k = 11\/10 + o. Factor -1\/2*l**5 - 4 + 2*l + 5*l**2 - k*l**3 - 2*l**4.\nAnswer: -(l - 1)**2*(l + 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 91.168 + 1272.652. What is a rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -229 + 245. Let c = r + -15.9782. Round c to three decimal places.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find b, given that 5*b**3 + 65*b**2 + 255*b + 315 = 0.\nAnswer: -7, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 94\/1 - 28\/14. Suppose -11*w = 12*w + m. Which is the second smallest value?  (a) w  (b) 4  (c) -3  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -50*i. Let b(j) = 5650*j. What is a(b(m))?\nAnswer: -282500*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jbww when four letters picked without replacement from jtbwtbwwrtkbtbttb.\nAnswer: 1\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5426608, 10853204, 16279776, 21706312, 27132800, 32559228, 37985584?\nAnswer: 43411856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 47\/6 + (14 + (-832)\/48)\/(-5).\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 5*m = -3, 0 = 2*k + 5*m - m - 6. Is k greater than or equal to 11\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 20 - 4. Suppose 2*v - 3 = -k + 2*k, -4*v = -4*k - i. Is 2\/13 at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 505 minutes before 4:07 AM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((3 + 0 - 5)*(-2 + 3 - 2) + 0 + 0 - 4)*(-4 + 5 + 6)*(-4*y + 4*y - y) to the form c*y + r and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1038595, 1038594, 1038593, 1038592?\nAnswer: 1038591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -w**2 + 2*w + 1. Let t be y(2). Suppose 5*p = -4*d - 20, -p - 4*d + 9*d - 4 = 0. Let v be (-3 + 5)*(-9)\/6. Sort p, t, v in increasing order.\nAnswer: p, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -12*a + 6*a - 1572. Let c be a\/38 + (-4)\/38. Let o(v) = v**3 + 7*v**2 - 2*v - 11. Let l be o(c). Solve 0 = -2*j - l*j - 25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) be the second derivative of n**10\/30240 - n**7\/1260 + n**4\/6 + n. Let d(h) be the third derivative of b(h). What is the third derivative of d(g) wrt g?\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13252?\nAnswer: 2, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1395)\/(-285) + 4\/38. Suppose 28798 = r*y - 2*b, 6*y = 9*y - b - 17278. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 82.4 - 82.4. Put v, 1, 4\/5, -5 in decreasing order.\nAnswer: 1, 4\/5, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3517716 by -159.\nAnswer: -22124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) be the second derivative of 2*r**7\/63 + 7*r**6\/45 + r**5\/6 - 5*r**4\/18 - 7*r**3\/9 - 2*r**2\/3 + 3*r. Find l such that n(l) = 0.\nAnswer: -2, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2287416613?\nAnswer: 61, 37498633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 2917 (base 11) to base 13\nAnswer: 193c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 5*j + 5. Let k(u) = -3*u + 5. Let z(c) = -8*c + 11. Let x(r) = 7*k(r) - 3*z(r). Give -2*p(y) + 5*x(y).\nAnswer: 5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 267327*579.\nAnswer: 154782333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 20, -4\/5, -1\/4, 86, 241, -1\/10 in decreasing order.\nAnswer: 241, 86, 20, -1\/10, -1\/4, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50*q - 2254 = 3046. Does 17 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from pppdpd.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 297634 is divided by 297079.\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*z - 2601 = -797. Does 19 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence on when two letters picked without replacement from {l: 1, o: 4, n: 1, v: 1, s: 4}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 4*f - 2 = -3*o, -5*o - 2*f = -29. Let v = o - 1. Differentiate -3 + z + 0 + v wrt z.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (70\/5)\/((-868)\/620)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-24)\/(-16))\/(12\/8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -230 times -509429\nAnswer: 117168670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (-1875)\/(-4125) - 47\/55\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) be the first derivative of y**2\/2 + 2*y - 4. Determine z(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2468, -4945, -7422?\nAnswer: -9899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 102956.\nAnswer: 2, 7, 3677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35 = -3*h + 2*h - 3*t, 95 = 4*h + 3*t. Let d = 34 - h. List the prime factors of d.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 5 + 0)*(0 - 3 + 4)*(10 - 6*s - 10).\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqqqqrqqrqrqqrrqrqq. What is prob of sequence rr?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 13 = -3*p, -a - 28 = 7*p - 45. Are -26 and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 388367275?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y - 2*n = 12, 7*n - 4*n = 3*y - 12 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 45 and 240.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i\/(i**(1\/2)\/i)*i*i)\/(i*i**(-2\/7)\/i))\/(i**(-1\/3)\/i**(-2)))\/((i**(-2)\/i)\/i**(-2)*((i\/(i**(-6)*i)*i)\/i)\/(i**6\/i)) assuming i is positive.\nAnswer: i**(89\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -21*k. Let u(s) = 4*s + 3. Let x(q) = -4*q - 15. Let v(m) = 5*u(m) + x(m). Determine v(w(t)).\nAnswer: -336*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 72642 + 10?\nAnswer: 72652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 4*s. Let k(g) = -1455*g. Give k(n) - 4*z(n).\nAnswer: -1471*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 414882886 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -42 - -48. Let q(i) = -2*i**4 - 37*i. Let l(z) = -z**4 - 18*z. Let p(w) = a*q(w) - 13*l(w). What is the second derivative of p(n) wrt n?\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*s**5 - 4*s**5 - 2*s**5 + (s - 4 + 4)*(-4*s**4 + s**4 + 4*s**4) - 121*s**5 + 83*s**5 - 258*s**5.\nAnswer: -297*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.42 + -6.42. Let a = d - -5.992. Let q = a - -2.708. What is the nearest to -1\/4 in q, 4, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 140 - 127. Suppose -153 = -p*k + 4*k. Solve 0 = 15*o - k*o - 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -189.4 - -0.30691103?\nAnswer: -189.09308897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 334536.\nAnswer: 2, 3, 53, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -c, 4*d - 2*c - c - 42 = 0. Let m be 0\/(3*(-8)\/d). Suppose m + 4 = h. What is the remainder when 13 is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 325 minutes after 2:01 PM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3702 and 26223734.\nAnswer: 78671202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = j**3 - 6*j**2 - 4*j - 8. Let f be u(7). Let d = 26 + f. Suppose -5*p + 12*p - 91 = 0. Calculate the highest common divisor of p and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 44569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4772396 and 124.\nAnswer: 147944276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -20, -132, -328, -608, -972, -1420?\nAnswer: -1952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:39 PM and 6:51 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 48359*g**5 + 4*g**4 - 3*g**3 - 2*g**2 + 2249737?\nAnswer: 2901540*g**2 + 96*g - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 22*u - 23*u + 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*m + 2 + 155 = 12*t - 0*m + 1, -161 = 3*t + 11*m for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -490923 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*j + 3*y + 393 = 381, 39*j + 57 = -3*y for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 108 and 48?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 715305*i**2 - 2145885*i**2 + 3 - 3 + 715295*i**2 + 715296*i**2.\nAnswer: 11*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.95 and -306716.68?\nAnswer: 306717.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 13*j + 2890 - 2890 to x + r*j and give r.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2009*z**4 + 10*z**3 + 2*z**2 + 22*z - 64 wrt z?\nAnswer: -24108*z**2 + 60*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 28834, 57669, 86508, 115351, 144198, 173049?\nAnswer: 201904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 4*j. Let g(f) = 133*f - 14905. Calculate g(n(k)).\nAnswer: 532*k - 14905","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/h**11)\/h**26*(h*(((h**(-1\/7)*h)\/h)\/h)\/h)**(1\/20) assuming h is positive.\nAnswer: h**(-1262\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -21.2 times -116761.5?\nAnswer: 2475343.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -c - 5*o + 985, -4*c + 4686 = 2*o + 692. Suppose 4*q - c = 144. Suppose 71 = v + 3*a, -5*v - 2*a + 43 = -q. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 0.3, 0.29, 3\/8, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) be the first derivative of 2*m**2 + 4*m - 5. Give o(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -6 + (2691\/234)\/((-1)\/(-1454)). Let v be -3*((-14)\/6 - 1). Suppose -5*x + v*x = l. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 48878483417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*u**3 + 948*u**2 + 66423*u + 129078 = 0. What is u?\nAnswer: -213, -101, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*w - g + 1, 9*g - 6*g + 5 = -4*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g*g**(-5)*g)\/(g*g\/g**(-2\/55)*g)*(g*(g*g**(-7)*g*g)\/g)\/(g*g*g**(-3\/8)))**22 assuming g is positive.\nAnswer: g**(-4691\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1306449*g + 3269*g**3 - 3429*g**2 - 235359368 + 69440345 - 3272*g**3 = 0 for g.\nAnswer: -381","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -22 - -23. Let u be 18\/12*a*(-4)\/(-3). Let c = 10 - 12. What is the fourth smallest value in c, -2\/11, u, 2\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8735137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) be the second derivative of y**5\/10 + y**4\/12 - 20*y. Let x(b) = b**3. Let q(o) = -o**3 + o**2 + o - 1. Let l be q(0). Give l*j(v) + x(v).\nAnswer: -v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = x - 3*x + 3*d - 884, 3*x - 2*d + 1331 = 0. Is (-1)\/(-5) - 423106\/x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find p, given that -3*p**2 + 9180*p + 45975 = 0.\nAnswer: -5, 3065","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -k**2 - 15*k - 13. Let i be j(-14). Suppose -3*a + 8 = -s, -3*a - i + 5 = s. Calculate the remainder when 5 is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c**(1\/5))**(7\/4)*(c\/(c**(-13)*c))\/c**(-8))**27)**(3\/5) assuming c is positive.\nAnswer: c**(34587\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -59 + -24 + 35 - -145?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 30179?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 4, 2\/3, 3\/37, -2579?\nAnswer: -2579","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -203 + -103323010132?\nAnswer: -103323011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) be the second derivative of 0*p**3 + 1\/12*p**4 + 5\/2*p**2 - 2*p + 0. What is the derivative of z(h) wrt h?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 4229344 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -5*u - 9. Let f be r(-9). Suppose -51 = -3*j + f. What are the prime factors of j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 222 (base 3) to base 4\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -u**2 - 298*u - 16156. Calculate c(-227).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11482 - 5138 - 23646 = -898*m + 20414 for m.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2164882 and 136?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (9\/21 - (-3)\/(-7)) + -4. Let i be ((-90)\/27 - q) + (-1)\/(-3). Let m be (-34)\/(-6) + 10\/(-15). Solve -i = 2*o - m for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 49 and 2394.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3059700 and 270.\nAnswer: 27537300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -1984.88*0.14\nAnswer: -277.8832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*y + 3*y - 3*y)*(-28*y + 5*y - 13*y).\nAnswer: -72*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) be the third derivative of 53*y**6\/120 + 3*y**5\/20 - y**4\/24 + 106*y**3\/3 + 35*y**2 + 75. What is the second derivative of u(x) wrt x?\nAnswer: 318*x + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 4 = -2*t, -3*t + 1 = -2*w - 3. Suppose -2*z + 58 = -t*m + 3*m, -2*m = 2*z - 36. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 3\/5 of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1307 + -1306.99. What is the nearest to -3\/7 in -1, w, 0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*z - 11*z**4 + 14*z**2 + 4*z - 6*z**2 - 6*z - 11*z**2 in the form j*z**2 + r + w*z**4 + h*z**3 + b*z and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -51, -60, -79, -114, -171, -256?\n\"Answer: -m**3 + m**2 - 5*m - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-4 - -7) + (2 - 1 - 2). Suppose 0 = -n + 5*l + 3, -o*l - 4 + 0 = 0. Let a(q) = q**2 + 10*q + 1. Calculate a(n).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -53*q - 271. Let n be o(-5). Let y(u) = -18*u**3 + 3*u**2 + 3*u - 3. Let v(w) = 35*w**3 - 5*w**2 - 5*w + 5. What is n*v(b) - 10*y(b)?\nAnswer: -30*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-204)\/(-15) + (-15)\/25. Suppose 0*n = 2*p - n - 1, 0 = -4*p + 5*n - t. What is the biggest value in p, 0.1, 3\/8?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:03 PM and 11:29 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = l**3 + 121*l**2 + 695*l + 291. What is q(-6)?\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) be the second derivative of -l**5\/20 + 3*l**4\/2 + l**2\/2 - 18*l. Let s be o(18). Let c be 2\/(0 + -1 - -2). Put s, c, -3 in decreasing order.\nAnswer: c, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(1\/9)*(m*(m\/(m**(-1\/2)*m*m))\/m)\/m*m**(3\/4)\/(m**(-1\/3)*m)*(((m*m\/(m*m**(3\/5)\/m)*m)\/m)\/(m\/m**(5\/4)))**34 assuming m is positive.\nAnswer: m**(9863\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -122337.07 rounded to the nearest one hundred?\nAnswer: -122300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) be the second derivative of -8*d**2 + 0*d**4 + 87\/20*d**5 + 0*d**3 + 0 - 13*d. Differentiate p(n) wrt n.\nAnswer: 261*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 46313*h**2 - 5*h. Let b(x) = -x. Determine b(y(d)).\nAnswer: -46313*d**2 + 5*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -41, -84, -125, -164, -201, -236, -269?\n\"Answer: t**2 - 46*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (52 - 30 + 13 + 2*g)*(-g + 1 - 1)*(2 + 5*g - 2).\nAnswer: -10*g**3 - 175*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out -224 * 0.0607213.\nAnswer: -13.6015712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 7\/(-2)*3*12\/(-21). Does w = 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -16622+-73814.798\nAnswer: -90436.798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 40 divided by -20.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 37.86048 months to years.\nAnswer: 3.15504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -5689847 times 0.3?\nAnswer: -1706954.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -h**3 + 4*h**2 - 17*h + 37. Let k be m(3). Which is the second biggest value?  (a) k  (b) 27  (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(5*sqrt(72)*6 + -5 - (3*sqrt(72)*-2 - sqrt(72))*-6)**2.\nAnswer: -31179 - 2160*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 26*r**2 - r. Suppose 55 = u - 5*f, -23 = -u - 4*f + 77. Let x(t) = 40*t + 41*t - u*t. What is x(p(d))?\nAnswer: 26*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 436 divided by 436\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 5*b - 27 = 0, 5*u - b + 3*b = 82. Let x = -7 + 13. Let c = u + x. Is 11 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -13\/20235 and 48\/53.\nAnswer: 1072455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -110034 - 1?\nAnswer: -110040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q\/(q*q*q**(-5\/4)*q)*q**(6\/23))\/(q**(1\/3))**(-4\/25))**(-5) assuming q is positive.\nAnswer: q**(-3893\/1380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-156)\/(-16))\/(-13)*52\/6)\/(38\/228)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -t**2 - 12*t - 9. Let r be q(-6). Let u be -3*-4*9\/r. Solve 3*j + 0*h + u*h = -1, -4*h + 20 = -4*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4052?\nAnswer: 2, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 59249405 and 118498810?\nAnswer: 118498810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 814 - 819.11. Let g = -0.11 - h. Let c = g + -5.001. What is c rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-27)\/(-24)*(93 + (-41344)\/384)?\nAnswer: -33\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6267135.\nAnswer: 3, 5, 7, 17, 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*h**2\/3 - 13804*h\/3 - 4424810\/3.\nAnswer: -2*(h + 337)*(h + 6565)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Let i be 0\/((-5)\/((-5)\/(-2))). Let q(p) = -1 - 5*p + i*p + 2*p - 1. Is 13 a factor of q(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q**5 - 2*q**4 - 11*q**3 + 12*q**2 = 0. Calculate q.\nAnswer: -3, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 57 in -5, 0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-3 - -60)*1\/(-3). Let l = h - -10. Let a = 13 + l. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.7357 or -16248?\nAnswer: -16248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xjxhxxlljjjhxxxhj. What is prob of sequence jxhh?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.1 and 0.58.\nAnswer: 0.058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = s - 1. Suppose -4*j + 3 = -j + 3*y, -4*y + 8 = 3*j. Let b(q) = -8*q + 9. Calculate j*b(m) - 36*a(m).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -9cb - -106?\nAnswer: -8c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + l = -l - 42, 5*m - 170 = 2*l. Find the second derivative of a + 14*a**4 - m*a**2 + 32*a**2 + 6*a**4 wrt a.\nAnswer: 240*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 56*h - 48. Let q(l) = 140*l - 120. Let v(p) = 12*g(p) - 5*q(p). Does 12 divide v(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1706 is divided by 530.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 58 - (-3 - (-1 + -3) - (0 - -13 - 13)).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by -70.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 9 + (-1619 + 13)\/11. Put -5, z, 8 in increasing order.\nAnswer: z, -5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 1 + 2)*(-4 + 2*c + 4) + 32 - 32 + 30*c.\nAnswer: 32*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:42 PM and 3:50 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/(45\/(-12)))\/((-8)\/(-20)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 70*b - 1988 = -96*b + 24*b. What is the lowest common multiple of 52 and b?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2499?  (a) 2\/19  (b) -0.4  (c) 3\/4  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Add together 140 and -546378.4.\nAnswer: -546238.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 35856 and 392.\nAnswer: 1756944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 163867292 is divided by 476?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1582 and 290297.\nAnswer: 791","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 30468528 or 30468527?\nAnswer: 30468527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 55\/92 and (1\/4)\/(-1) + 2075\/(-700).\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -179, -180, -181, -182?\nAnswer: -183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*w - 10 - 0. Let v be ((-1)\/(-1))\/((-1)\/(-3)). Find the second derivative of 2*g**v + g - 2*g + w*g wrt g.\nAnswer: 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = q**3 - 6*q**2 - 7*q + 6. Let t(b) = b**2 + b - 1. Let s(x) = 4*x + 5*x + 8*x - 4*x - 4*x - 159. Let c be s(17). Determine c*t(f) - u(f).\nAnswer: -f**3 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 5482 and 24669.\nAnswer: 49338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Do -1718 and -1719 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*g**3 - 103156 - 40*g**3 + 103397 + 24*g**3.\nAnswer: 2*g**3 + 241","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 47200 and 5242150.\nAnswer: 2950","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 7*n. Let o(p) = -12*p. What is y(o(z))?\nAnswer: -84*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) be the second derivative of 0 + 0*t**3 + 3\/2*t**2 + 0*t**4 - t**5 + 7*t. Differentiate n(o) wrt o.\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -161598, 12, 0 in decreasing order.\nAnswer: 12, 0, -161598","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -18, 1, -3, 106, 2\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2671?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11906563?\nAnswer: 37, 321799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -4*n. Let g(z) = z**2 - 8*z + 8. Let d be g(7). Let x be m(d). Let k = -20.943 + 20.443. Put x, 2, k in descending order.\nAnswer: 2, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the third derivative of s**6\/40 + s**4\/12 - 6*s**2. Find the second derivative of a(f) wrt f.\nAnswer: 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3*((-1)\/(-12))\/((-14)\/(-4))?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - q + 29 - 1 = 0, 0 = -3*s - 2*q + 26. Is s a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -2*p**3 - p**2 + 5. Let x(w) = -11*w**3 + 3*w**2 - 20*w + 53. Let k(q) = -6*j(q) + x(q). Calculate k(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -t - 3. What are the prime factors of n(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0 + 0. Factor -2 + d*p + p**4 + p**3 - 3*p**2 - p - 4*p.\nAnswer: (p - 2)*(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -7 + 2 + 8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6088, -12133, -18178, -24223, -30268, -36313?\nAnswer: -42358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:20 PM and 7:06 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2544023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) be the first derivative of -b**8\/1260 + b**7\/315 - b**5\/45 + b**4\/18 + 2*b**3 + 6. Let w(d) be the third derivative of x(d). Factor w(g).\nAnswer: -4*(g - 1)**3*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1*-4400763\nAnswer: -4400763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -4  (b) 0.1  (c) -1  (d) -0.1  (e) -212\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) be the third derivative of t**7\/840 - t**5\/40 + t**4\/6 - 7*t**3\/3 + 5*t**2. Let k(i) be the first derivative of y(i). What is k(3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 50 + 16 = 0. List the prime factors of w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 99611430?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 34330.\nAnswer: 2, 5, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2, 2\/7, -0.5, 21?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.03 + 0.03. Let f = b + 0.3. Let o = -0.29956 + f. Round o to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 20 = -6*g. Suppose -g*n = -8*n + 3832. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.15 or -0.17?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 335*p + 40681 + 15976 + 53563 = -500*p for p.\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1.1 - 1.099955. Round s to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -81185*j**3 - 374*j - 1?\nAnswer: -487110*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 155 = 2*s - 21. Suppose -5*z + 3*z + s = 0. Calculate the remainder when z is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1\/4  (b) 0.03  (c) 30743  (d) 5  (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -67*y - 49 - 2*y**2 + 23 - 3*y**4 + 10 + 14 - 2*y**3 + 2*y**4 in the form w + n*y + v*y**2 + p*y**4 + h*y**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l - 25 + 45 = d, 4*l = -3*d + 60 for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide 956562448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*w + 12 + 13. Is 11 a factor of w*(-4)\/30 - (-2446)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -9130470, -18260956, -27391442, -36521928, -45652414?\n\"Answer: -9130486*b + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5795\/17 - -341. Let t be 1*2*1\/(-2). Which is the closest to 0.1?  (a) t  (b) 0.4  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (37 - 23) + -10 + -16\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/(c\/(c**(-2\/9)\/c*c*c)))\/(c*c**(1\/5)*c*c))**2*((c\/(c\/c**(-2\/9)))\/(c**3\/c*c))**(-33) assuming c is positive.\nAnswer: c**(4567\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = 1325*m - 62408. Determine p(47).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -377 - -385. Let o(r) = 9*r - 63. Let k be o(j). Solve 25*t + k = 22*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 441 + 183105*l - 441.\nAnswer: 183105*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -f**2 + 140*f - 4906. Determine v(66).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xyf when three letters picked without replacement from xyyjjyjvxyvf?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 19 + -27. Let u = -2 - z. 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: What is the second biggest value in 1\/6, -1\/2, -12\/7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 22\/6 + -1 + -3. Let g = -1.83 - 1.47. Is w less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2821 or -2822?\nAnswer: -2821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*z**3 - 4440 + 2*z**3 + 2214 - 63*z**4 + 2209 + 2*z**2 in the form s*z**3 + c*z**2 + g*z**4 + m + t*z and give g.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 102\/238*((-9)\/30)\/((-48)\/(-70)). Let w = -2 - 2. What is the smallest value in m, w, -2\/3, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -33 + 65 + (-23 - -19)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -1953.038 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = a**3 - 4*a**2 + 5*a - 2. Let u(y) = 3*y**2 - y - 1. Let f be u(-1). Determine p(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1279660, -6, 4.\nAnswer: -6, 4, 1279660","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -64*x + 670 = -69*x. Let p = 136 + x. Suppose -a - 4 = 0, -6*t = -p*t - 5*a - 140. Is t a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1232410600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 237 is divided by 46.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-10*w - 7*w + 5*w)*(11*w - 33*w - 7*w) to l*w + b*w**2 + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5 + 1*((sqrt(612) - (-1 + sqrt(612))) + -5 + sqrt(612)) + 5)*-5)**2.\nAnswer: 1800*sqrt(17) + 16200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -12\/2255 and 33\/1435.\nAnswer: 15785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.3 + -205.9.\nAnswer: -206.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m - 1 = b + 5, 0 = -2*b + 4*m + 36. Let z = 18 - b. Solve 3*n - z = 4*s, -s - 2 = 4*n - 0*s for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20562622981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -a**3 + 11*a**2. Let f(v) = -v**3 + 10*v**2. Give -4*f(m) + 5*x(m).\nAnswer: -m**3 + 15*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -c + 4*c - 9. Is 20 a factor of 2*c\/(-6) + 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/2  (b) 8  (c) 1\/21  (d) -2\/7  (e) 3  (f) -36.8  (g) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 5 - (-10 - (-10 - 6))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 times 7095.512?\nAnswer: -28382.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (2420 - 7*p**2 - 2420)*(-20*p - 5*p + 2*p) as x*p**3 + o*p + t*p**2 + l and give x.\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 77 = -10*m. Suppose -11*u + 99 = m. Suppose -7*g**2 + u*g**3 + 6*g**3 - 9*g**3 + 2*g**2 = 0. What is g?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 402, 405, 408, 411, 414, 417?\nAnswer: 420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1b71 (base 14) to base 9.\nAnswer: 6764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -5.14 - -0.14. Let j = 4.3 + h. Let r = -1.2 - j. Which is the closest to 0?  (a) 0  (b) 1  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) -0.08  (b) -50  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 828348655 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -664 + 663.9999187. What is i rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.34 and 5.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1304 - 640. Let h = n - 3323\/5. Which is the second biggest value?  (a) 0.082  (b) h  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 2 i when three letters picked without replacement from {n: 2, w: 9, i: 7}.\nAnswer: 63\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -24*q**3 + 13*q**2 + 72*q + 46. Calculate l(-3).\nAnswer: 595","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0004883411 to five dps.\nAnswer: -0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 453641.\nAnswer: 453641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the second derivative of -c**6\/105 - c**5\/14 + c**4\/42 + 5*c**3\/21 + 31*c. Suppose v(j) = 0. Calculate j.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 203.37 and 1.\nAnswer: 204.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 293382?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 243 minutes after 5:37 PM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 404623903 to the nearest integer?\nAnswer: 20115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 7*l. Suppose 2*t = -3*a + 110 + 49, 2*a - 78 = -t. Let k(o) = 3*o - 43 - 41 + t. Give b(k(g)).\nAnswer: 21*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -65 + 69 + -39 + 38 - (49 + -2 + -2)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -5*f + 12. Let k be i(2). What is the tens digit of (8 - 21)\/(k*2\/(-28))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3458666709 a multiple of 14753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*(sqrt(2) + 1))**2 + (sqrt(98) - (-4 + sqrt(98) - sqrt(98)))**2 - ((sqrt(8) + (1*sqrt(8) - sqrt(8))**2)*6 - ((-1*sqrt(96))\/sqrt(12))**2)) + -1.\nAnswer: 46*sqrt(2) + 124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 77973172447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -47887*k + 144378 wrt k?\nAnswer: -47887","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 4810 (base 10) in base 6?\nAnswer: 34134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 6, -1, -5, 2 in decreasing order.\nAnswer: 6, 3, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = -4*k - r, 3*k - 1 = 2*r + 3. Let a(b) = -155*b - 3701. Let v be a(-24). What is the tens digit of v + (4 + k)\/(-2) + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 (base 2) in base 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 + -6 - -9 - 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 698 and 0.1.\nAnswer: 69.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1112131222001 + 0?\nAnswer: -1112131222001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 546 and 399?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -10 + 9. Let c be -54 + (0 - -3) + r. What are the prime factors of c*(20\/(-8))\/5?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 1 - (-115 + -7)*-3. Let j = 369 + p. Solve -5*g + 1 = 16, g + j = t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -47 - -47.2. Suppose -r - 2*o = 6, -17*r - 6 = -16*r - 5*o. What is the second smallest value in r, -3\/8, y?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 0*o = 134. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -u**3 + 12*u**2 + 32*u - 5. Let z be o(13). What is the highest common factor of 22 and z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 2 = -q + 3, -4*q + 4 = 4*f. Let m(c) = -c**3 - 17*c**2 - 54*c + 50. Let w be m(-5). Solve 4*d + w = a, -a + 1 + 3 = f for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 65, 262, 591, 1052, 1645?\n\"Answer: 66*j**2 - j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l\/(l*l\/l**(-3))*l**(2\/7)*l*l**7\/(l*l**(1\/4)*l) assuming l is positive.\nAnswer: l**(57\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2755644 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -84*o - 84. Let k be b(-1). Suppose -i + 1 + 2 = 0. Suppose 0 = 5*g - i*g - 10. Solve w + k*w = g for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 63240 is divided by 614.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.4, 2, 4, 3, 2\/37, -862 in increasing order.\nAnswer: -862, 2\/37, 0.4, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-1\/4)\/p)\/(p**4\/p))**(-49) assuming p is positive.\nAnswer: p**(833\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -o. Let k(l) = 4*l - 1. Let w(i) = 17*i - 5. Let z(a) = -9*k(a) + 2*w(a). Give -5*t(b) + 2*z(b).\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1 + 1430186?\nAnswer: 1430185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -3 >= -228?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in five quarters of a microsecond?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from itttiitiiiiit. What is prob of picking 4 t?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -291.55 + 294.2. What is z rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-13 + 18)\/((-3)\/(-21))?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 48 - 226. Let v = g + 177.8. Suppose -q + 3 = 4. What is the nearest to q in -3, 0.07, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 29 - 33. Let n be s\/18*(-18)\/(-3)*-315. Suppose 9*r - 14*r = -n. Is r a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 25131946.\nAnswer: 2, 7, 19, 107, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -12*q**2. Let o(y) = -y. Let a(f) = -1123 + 1123 - 3*f. Let t(r) = a(r) - 4*o(r). What is t(p(v))?\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 163903*u**2 - 49*u**2 - 21924*u**2.\nAnswer: 141930*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.002847071289 rounded to 4 dps?\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4 (base 14) to base 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 37653392*o**3 - 8937286.\nAnswer: 112960176*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -221*w**4 - 2*w + 16 wrt w.\nAnswer: -2652*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 46c (base 14) in base 9?\nAnswer: 1177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 82 - 92. What is the units digit of (-6928)\/o + 44\/(-55)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ju when two letters picked without replacement from {j: 2, u: 5}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1525*m**3 - 7622*m**2 + 6085*m + 12 = 0. Calculate m.\nAnswer: -3\/1525, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = w**2 + 17*w - 16. Determine n(-9).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 14 + -19. Let k be 0\/8 - (1 - 235). Let l(m) = 6*m**2 - k + 239 - 2*m**2. Let x(t) = 3*t**2 + 4. What is u*x(j) + 4*l(j)?\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/(-6)*((-33)\/(-5))\/((-65)\/(-325))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -11*t + 11*t + 12*t**3 + (-13*t**2 + 11*t**2 - 33*t**2)*(0 - t + 0) to q*t**3 + d*t + x*t**2 + f and give q.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 907363 to the power of 1\/2, to the nearest integer?\nAnswer: 953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -3121376 rounded to the nearest one hundred thousand?\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:59 AM and 5:30 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -555.98 + 819672.\nAnswer: 819116.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -w**2 + w + 2. Let v be h(2). Suppose v*b - 4*b = -16. Solve 18 = 2*r - 2*s, r + b*s = -4*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1428 = 3256*y - 3307*y for y.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 0.1*0.028836119\nAnswer: 0.0028836119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-1\/7)*d\/d**(2\/9))**34 assuming d is positive.\nAnswer: d**(1360\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 5970645 and 3525?\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:59 PM and 9:14 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fc when two letters picked without replacement from {k: 1, c: 1, y: 1, q: 2, r: 1, f: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1332 - 1?\nAnswer: 1331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 68797?\nAnswer: 89, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1027 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 1155 = 2*o + 14003, 4*o = -3*u + 19307. What is the hundreds digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -515.5 + 515. What is the third biggest value in -15, -3, n, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00330450397 to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 52202528?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -13278 or -13279?\nAnswer: -13278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 28*d**2 - 4*d - 3. Let i be y(-2). Let u = -589\/5 + i. Which is the third biggest value?  (a) 0  (b) 2\/5  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) be the first derivative of -3*d**5\/80 - 23*d**4\/24 - 5*d**3\/6 - 67*d**2\/2 + 93. Let n(y) be the second derivative of i(y). Factor n(f).\nAnswer: -(f + 10)*(9*f + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2\/6*-3*3. Let p = d + 3. Let k(i) = 2 - 2*i - 2*i + 4*i - i. Calculate k(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange a + 2*a - 2*a + (a + 2*a - 2*a)*(2 + 2 - 2) + 5038*a - 2573 - 1952 + 4535 to l + p*a and give l.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i - 31*a = -15829 + 15655, -4*a = 3*i - 15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5628*y**3 - 5337*y**3 + 10338*y**3.\nAnswer: -627*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -182845 (base 10) to base 12\nAnswer: -89991","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -141, -184, -257, -360, -493?\n\"Answer: -15*v**2 + 2*v - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -3*s**3 - 81*s**2 - 13*s - 346. What is n(-27)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/4*c**4 - 1\/2*c + 0 - c**3 + 5\/4*c**2.\nAnswer: c*(c - 2)*(c - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -d**5 - 4*d**4 - 2*d**3 + d - 1. Let h(o) = -427*o**2 - 1 + o + 427*o**2 - o**4. Let u(y) = 4*h(y) - 4*w(y). Let u(g) = 0. Calculate g.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*u + 2*h - 0*h + 26, -u - 5*h - 5 = 0. Suppose 4*a = -g + 30, 4*g + 0*g - 4*a = 80. Let b = g + u. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 868 a factor of 6795174456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 10*c**2 - 26*c. Let l = 9 - 4. Suppose l = -2*b - 1. Let p(h) = -2*h**2 + 5*h. Let s(g) = b*o(g) - 16*p(g). Find i such that s(i) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that -n**2\/5 + 7878*n\/5 - 110096\/5 = 0.\nAnswer: 14, 7864","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -7672*b - 46036. Determine w(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hcch when four letters picked without replacement from cchchh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor u**4 - u**3 - 16*u**2 + 16*u.\nAnswer: u*(u - 4)*(u - 1)*(u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 7*c**2 - 10*c + 4. Let s(j) = 3*j**2 - 5*j + 2. Give 5*s(p) - 2*t(p).\nAnswer: p**2 - 5*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 6*f = 3*c + 22, -4*c + f = 23. Let a(x) = 9*x**2 - 25*x - 13. What is the tens digit of a(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-3)\/p)\/(p*p\/(p*p**(-2\/3)))*p**0\/(p**(4\/9)\/p)*((p\/(p\/(p\/p**0)))\/p)**(-4\/11)*(p*p**(-2))\/p*p\/(p*p**(-1\/3)*p) assuming p is positive.\nAnswer: p**(-70\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3132.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 10263 - 30790\/3. Sort -51, 0.8, q in descending order.\nAnswer: 0.8, q, -51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.0354 or 0.004?\nAnswer: 0.0354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*i - 5*k - 35 - 146, 5*i = 3*k + 210. Let g(r) = -2*r**3 + r**2 + 2. Let f be g(3). Let a = i + f. What is the third biggest value in -0.2, 1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1582 greater than or equal to 12647\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -213*o**2. Let z(q) = 5*q. Give v(z(j)).\nAnswer: -5325*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yvnyn. Give prob of picking 1 n and 1 y.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*w + 17*w = -7980. What are the prime factors of w?\nAnswer: 3, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-10)\/(-4)*(-100)\/(-125). Let k(g) = -32*g**p - 5*g**2 - 3 + 7*g**2. Let b(r) = r. Determine b(k(q)).\nAnswer: -30*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in 1, 0, -178?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1\/6 + 1\/6. Let v = 241.6 - 241.6. Put v, -3\/5, 0.03, x in increasing order.\nAnswer: -3\/5, v, 0.03, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -222 in -4, 5, 8, -59, 0?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -46 + 49. Suppose -q = -w + 22, 5*w + o*q - 80 = -2*q. Calculate the remainder when 54 is divided by w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45*b = -37*b - 244800000. Round b to the nearest one million.\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-540)\/1008 - ((-3)\/(-12))\/(-1)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 4*x + 35. Let g be i(-27). Let z = g - -78. Let q(u) = -2*u - 2. Let t(d) be the third derivative of -d**4\/24 - d**2. Determine z*t(r) - q(r).\nAnswer: -3*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -29 + 78. Let h be (-2*1)\/((-7)\/j). Solve 7*i + 4 = -2*a + 3*i, -2*a + 2*i = -h for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4 and 7519132?\nAnswer: 7519132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*w = 18*w + 50. Let d(x) = -w*x - 17*x + 23*x. Let p(t) = -2*t**2 + 0 + 0. Determine d(p(g)).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 18332954 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4774 + 4769. Sort -1\/9, 20, 1, r.\nAnswer: r, -1\/9, 1, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 81163027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5.4 + -5. Put -1.3, -0.2, q in decreasing order.\nAnswer: q, -0.2, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -6*y - 10. Let h(a) = 2*a + 3. Suppose 2*u - 5*o = -15, 0 = o + o + 2. Determine u*h(p) - 3*w(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 447449?\nAnswer: 447449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.34 - -0.04. Let s be (7\/35)\/(2\/30). Suppose -5*i = 3*m + 31, 2*i + 1 = 3*m - s. What is the second biggest value in l, -0.2, m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18037 to the power of 1\/2, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -22 divided by 51?\nAnswer: -22\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -1768193 minus -1.5?\nAnswer: -1768191.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -160130 divided by -239.\nAnswer: 670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3\/10 in 1\/4, 1\/7, -2\/9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -169 + 334.\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3243 and 27636.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4397821 at most 4397825?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2\/199  (b) -4  (c) -35.251\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let -r**4\/3 + 5*r**3 - 14*r**2 - 160*r\/3 + 128 = 0. What is r?\nAnswer: -3, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -434120308.0000684 - -434120185. Let t = z - -123. What is t rounded to 6 dps?\nAnswer: -0.000068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (78\/(-208))\/(6\/(-8))*-6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -43a50 - 5?\nAnswer: -43a55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 6920, 13812, 20546, 27044, 33228?\n\"Answer: -13*c**3 - c**2 + 6986*c - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) be the first derivative of -6*u**3 - u**2\/2 + 140*u - 85. Find the first derivative of g(v) wrt v.\nAnswer: -36*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 10019642.05 to the nearest 100000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 1595 divided by 69476\nAnswer: 145\/6316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -9*s + 33. Does 38 divide c(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 times 33474?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 10978044 to the power of 1\/4, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 22, 53\/5, 4, 0, 1\/13, 3\/8.\nAnswer: 0, 1\/13, 3\/8, 4, 53\/5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = n**3 - 2*n**2 - n + 4. Let f be s(2). Solve -a - 3*m + f*m = -7, -5*a - 1 = -4*m for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2 - -1. Suppose -31 = -s*m + 3*v - 7*v, -3*v = m - 17. What is the third derivative of 2*p**5 - 2*p**m + p**5 - p**2 wrt p?\nAnswer: 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2503733.\nAnswer: 479, 5227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 9480 divided by -6\nAnswer: -1580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -m**3 - 9*m**2 + 2*m + 127. Calculate d(-7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10*n - 47*n**2 - 6*n - 3*n)*(0*n + 2*n - 4*n).\nAnswer: 94*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(84) - 4*sqrt(84)*1)\/((-1*sqrt(96) + sqrt(96) - sqrt(96))\/sqrt(8)).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 - -7?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 1, r: 1, p: 1}. Give prob of picking 1 k and 1 p.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:45 AM and 10:51 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 4053208793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 19 - 19 + 30*l**2 + (-3*l + l + 0*l)*(l + 3*l - 3*l) in the form w*l + g + z*l**2 and give z.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -2*v**3 - 4*v**2 - v + 3. Let s be r(-2). Suppose -3*m - s*m**4 + 150 - 140 - 5*m**2 - 15*m**3 + 14*m + 4*m = 0. Calculate m.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -6289, -6291, -6295, -6301, -6309, -6319?\n\"Answer: -j**2 + j - 6289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4060 and 100996.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + (4 - -3) - (9 + -6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1 + -1 + -363 + 347\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 611 minutes before 5:43 AM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -195*m + 2177 - 4047 = 6320 for m.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -2*s**3 + 256*s**2 + 18*s - 2279. Calculate t(128).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22 divided by -7.\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 278 * -32\nAnswer: -8896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 2*p**2 - 7*p - 6. Let c(q) = 2*q - 6. Let g be c(4). Let u(y) = -y - y**g - 13 + 2*y + 14. Let w(s) = -a(s) - 6*u(s). Calculate w(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 325*h - 503*h = 890 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f - 3*d = 814 - 2827, 2025 = 3*f - d. Calculate the lowest common multiple of 10 and f.\nAnswer: 3370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:51 AM and 5:28 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (15 + (-3488)\/224)\/((-6 + 8)\/(-56))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = 22*g**2. Let t(a) = -6*a**2 + 3*a**2 + 5*a**2 - 3*a**2. Calculate t(b(n)).\nAnswer: -484*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/8*(-69 - -57).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 393\/12 + 33\/(-44). Suppose -3*x + v*j - 35*j = 3, -x - 2 = 2*j. Solve 0 = -f - 2*f - x*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 10 = 4*m, 6*m + 10 = m + 3*g. Let s(l) be the third derivative of -1\/3*l**3 - 1\/12*l**5 + 0*l**4 - 5*l**2 - 1\/120*l**6 + 0*l + 0. What is s(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 4 = -2, 2*x = -h + 7. Let c = -2 + x. Suppose -z = b + 4*z - 13, -b + z + c = 0. What is the third smallest value in b, 2\/7, -1\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 183680*b**2 + 551205*b + 495.\nAnswer: 5*(b + 3)*(36736*b + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -708*i**3*v + i**3 - 260*i**2*v - 933*i**2 - 2*i with respect to v.\nAnswer: -708*i**3 - 260*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 4*p = 1, -1027*p = -2*m - 1029*p - 2. Let h(d) = 6*d**2 + 25*d + 33. Give h(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5 + -11. List the prime factors of (1*x\/(-4))\/(30\/17900).\nAnswer: 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3\/4 in -0.3, 0.11, 4\/21, 0.07, -1, -2.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 295549159*f**3*w + 213425885*f**3 wrt w.\nAnswer: 295549159*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -4*q - 83. Let n be c(-24). What is the second derivative of 84*f**2 - 84*f**2 + 3*f - 2 + n*f**5 wrt f?\nAnswer: 260*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36 = -7*p - 57 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 637 - 644 - (8 - -1)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4*1*(-8247)\/(-6). Let c be v*1*13\/18. Let m = 3966 - c. Find the common denominator of m and -6.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -535849 divided by 3.\nAnswer: -535849\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 410424011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 8 = -4*w + 2*w, 0 = -2*c + w + 4. Let t be c\/2 + 0\/3. Suppose 3*d + d = -4*q + 100, -5*d + 4*q + 107 = t. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 59*c + 140 - 494 = 0 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -35 + -4 - (-49856)\/1280\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iii when three letters picked without replacement from itttiitttiitii?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 28\/(-6)*20\/((-80)\/(-6))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 2*n - 27. Give o(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.017, 1, 118.512?\nAnswer: 118.512","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: ((-21)\/9)\/((-508760)\/(-5520))\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -261*s + 33 - 7 + 7 + 20 - 8 wrt s.\nAnswer: -261","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -101\/14628 and 1\/57882996.\nAnswer: 57882996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) be the first derivative of -5*y**6\/6 - 5*y**5 - 25*y**4\/2 - 50*y**3\/3 - 25*y**2\/2 - 5*y - 8. Factor r(u).\nAnswer: -5*(u + 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (25 - 14) + -12 + -1 + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 0 - -102938750?\nAnswer: 102938750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) be the second derivative of h**5\/20 + 7*h**4\/12 + h**3\/2 + 3*h**2 - 39*h. Give z(-7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 9*d**3 - 9*d**2 - 5*d - 1. Suppose 4*x = 2*z - 26, -21 - 10 = -2*z + 5*x. Let l(v) = -5*v**3 + 5*v**2 + 3*v + 1. Give z*p(j) + 5*l(j).\nAnswer: 2*j**3 - 2*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2.5 + 0.5. Let d = 2.3 - 0.3. Let i = d - q. What is the third biggest value in 2\/7, i, -1\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-l + 2 - 2)*(0*l**3 + l**3 + 12*l**3) + l**4 + 2*l**4 - l**4.\nAnswer: -11*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 10 and 197?\nAnswer: 1970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 17053978 to the power of 1\/2, to the nearest integer?\nAnswer: 4130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1735 and -8212.\nAnswer: -6477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 5*v = 30, 22 = -0*l - 2*l + 4*v. What is the nearest to 2\/3 in l, -3, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*c = -11*c - 56 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 39940 is divided by 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 37 + -42. Let t = 0 + 0.1. Which is the closest to t?  (a) k  (b) -2\/3  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 51870945?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -3*k**3 + 11*k**2 - 44*k - 4. Let x be u(6). Let f = -4157\/8 - x. What is the second biggest value in 7, f, -1.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = f**3 + 23*f**2 + 37*f + 4. Let v be u(-21). List the prime factors of (-56)\/(-28)*(-2)\/(-4)*v.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*f**3\/7 - 3088*f**2\/7 - 349800*f\/7.\nAnswer: 2*f*(f - 1650)*(f + 106)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(3) + 5*(sqrt(3)*1)**2)*5 + ((sqrt(162)*1)\/sqrt(9))\/sqrt(6)*-3.\nAnswer: 22*sqrt(3) + 375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1213 is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 58103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 7*c**3 + 5*c**2 - 2*c - 4. Let l(p) = -p**3 + 2*p**2 - p - 1. Let m(s) = i(s) - 2*l(s). Find the third derivative of m(y) wrt y.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*x - 69*g + 73*g + 28628, -3*g + 11419 = 2*x. Does 130 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -154, -359, -698, -1171, -1778, -2519, -3394?\nAnswer: -4403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 505 is divided by 497?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d + 3*z + 9 = 0, -z - 20 = -5*d - 23 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.54 + 0.5429. What is q rounded to four dps?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 655 minutes before 4:29 AM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 4 + -1 - -5 - (4 - 16)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 130856573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in twenty-eight thirds of a minute?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + 13 + (-76 + 40 - -14).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 198, -0.05, 11, -3, 3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -4843, -19375, -43595, -77503?\n\"Answer: -4844*x**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9 + -206 + 200 + (-2 - (-20 + -2))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -3*q - 6. Let h be (10\/15)\/(4\/(-42)). Is x(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -541108, -2164396, -4869876, -8657548, -13527412, -19479468, -26513716?\n\"Answer: -541096*a**2 - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16790 divided by -5.\nAnswer: 3358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 40.35464 millimeters?\nAnswer: 40354640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 162185 and 55?\nAnswer: 1784035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 1778*s - 3071*s + 6465. Solve 0 - 92*u**2 + 282\/7*u**3 - 31\/7*u**4 + 1\/7*u**s + 56*u = 0.\nAnswer: 0, 1, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*k**2 - k**2 - k**2)*(-k**3 - k + k) + (-10 + 10 - 3*k**3)*(0*k**2 + 3*k**2 - k**2).\nAnswer: -11*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 24 times 0.62752\nAnswer: 15.06048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/20 of a minute in seconds?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 4, j: 3}. What is prob of sequence qqqj?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 12 - 0. Calculate the remainder when 6\/9 + c\/9 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/36)\/((-5)\/(-3)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -r**3 + 5*r**2 + 33*r + 2. Let w be z(9). Calculate the remainder when 30\/w*290\/9*-6 is divided by 79.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 22 + -10. Let l(d) = d + 11. Let p be l(-7). Suppose -3*w - p*c = 16, -3*w - 2*c = -4*c - 8. Solve -q = -3*i - w*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/10  (b) 1\/6  (c) -3\/5  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 185251 is divided by 72?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 53354300?\nAnswer: 2, 5, 533543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -7394, -14789, -22182, -29573?\n\"Answer: d**2 - 7398*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/(p**(-2\/5)*p))**(-48) assuming p is positive.\nAnswer: p**(-96\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1)\/((-45)\/(-21) + -2). Let k = x + 23. Let m = k + -7. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -6 in -0.29, 2\/9, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g = 4*p + 20, 0 = -g - 4*p + 18 - 30 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*v**5 - 1002*v**4 - 101517*v**3 - 2736582*v**2 + 8935488*v - 6096384 = 0. Calculate v.\nAnswer: -144, -49, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 97.70147 micrometers to centimeters.\nAnswer: 0.009770147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -1468220 (base 12) to base 13\nAnswer: -b132b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*r**3 - 5*r + 5*r)*(-1 + 1 - 5)*(2 - 7 + 2).\nAnswer: -30*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Are -21334\/3 and -7111 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -98419*s + 1377871. Calculate o(14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2381 is divided by 43.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 4*x**3 + 11*x**2 + 13*x - 9. Calculate h(-6).\nAnswer: -555","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iisijiajjaijsaiiiii. Give prob of picking 1 s, 1 j, and 2 i.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 332, 1787, 4242, 7721, 12248, 17847, 24542?\n\"Answer: 4*q**3 + 476*q**2 - q - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 97254 is divided by 9724.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s = -9*s - 5*k + 46 - 1, 3*k - 20 = -2*k for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0 + 0.2. Is g at least -0.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 117929435 to the power of 1\/4, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*f**2 + f**3 + 6*f**2)*(2 + 2 - 5) + 4*f**2 + 2*f**3 - 4*f**2 + (3*f**2 - 2*f**2 - 2*f**2)*(-f + 2*f - 2*f).\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) be the third derivative of -s**5\/30 - 39*s**2. Let q(k) = -34*k - 1. Determine x(q(u)).\nAnswer: -2312*u**2 - 136*u - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 2*l + 7. Let n be c(-3). Sort n, -5, -13 in decreasing order.\nAnswer: n, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 505777113 to the nearest integer?\nAnswer: 22489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 29195 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -51, 12.3, 3\/5, 3.6, -3 in decreasing order.\nAnswer: 12.3, 3.6, 3\/5, -3, -51","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1895 is divided by 1306?\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 243 is divided by 29?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2 by 181831.\nAnswer: -2\/181831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9\/(-6)*22*43\/5203?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 20998, 21069, 21168, 21301, 21474, 21693?\nAnswer: 21964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 29\/25250 - -3\/202. Let y be 0 - (4 + (-4976)\/(-1500)). Let l = y - p. Which is smaller: l or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6303*d**2 + 29*d**3 - 12599*d**2 + 6296*d**2.\nAnswer: 29*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 22705 and 1216?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express -f + 125 - 125 - 10*f**3 + f**4 - 2*f**2 as y*f + j*f**3 + z + s*f**4 + x*f**2 and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t = 4*y + 18 + 5, -5*t = -5*y - 40. Find the second derivative of 2*d + d + d**t - d wrt d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1182, -2359, -3536, -4713, -5890, -7067?\nAnswer: -8244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 1.2 + -0.33534\nAnswer: 0.86466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + 886 = 4*j - 50, -j + 1174 = -5*i. Let x = 125 - i. Calculate the greatest common factor of 40 and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 144 + 21*x**2 - 144 in the form u*x**2 + y + r*x and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/(-10))\/((-228)\/(-60))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 1 e when two letters picked without replacement from {f: 4, e: 10, r: 5}?\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 10 + -6. Find the common denominator of (-6)\/f*(-158)\/(-54) and 113\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 8 = -0. Let n = f + 3. Suppose n*j - 42 = 2*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3*((-750)\/6375 - (-2 + 14524\/7752))?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -354, -1444, -3260, -5802, -9070, -13064?\nAnswer: -17784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 60658753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 715922115?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 20241\/413 + -9\/59. Is 3\/5 at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -41 + 17?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -1*(0\/(-1))\/(-3). Suppose 85 = 5*h + 5*g, -3*h + 10*g = 11*g - 41. Suppose u = 5*i + 3*c - h, -3*i + c - 6*c = -4. Which is smaller: 3\/8 or i?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -667.5 + 420.8. Let x = -40.7 - i. Put 0, -3, x in decreasing order.\nAnswer: x, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*a - 6*a + 12*a + 4*a.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 292 minutes after 3:53 PM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.038 - 0.048. Let b = 2.09 - 1.09. What is the closest to 0 in -2, b, h, -0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*h**4\/2 - 69903315*h**3\/2 - 325764896532615*h**2\/2 - 506045470628039869305*h\/2.\nAnswer: -5*h*(h + 4660221)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -618.1 + 617.7. What is the second smallest value in 151, 0, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5 in -1, -0.4, -2\/35, 64.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 80290176?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -123 - -83. What is the tens digit of (8 - g\/(-8))\/((-2)\/(-226))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mmauuauummmaamm. Give prob of picking 1 m and 1 a.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1\/558 + -1049\/37386. Suppose 0 = -5*m - 0*v + 3*v - 11, 5*m - 4*v + 13 = 0. Which is bigger: s or m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -a + 6. Let u be m(-5). Let x be ((-12)\/(-14))\/((-3)\/(-84)). Suppose -x = -5*h - 9. Solve -2*f - h = -u for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11 - -102021012?\nAnswer: 102021001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(42)*1)\/sqrt(6) + sqrt(7) + sqrt(847) + sqrt(847) + 1 - ((sqrt(847) - -1*sqrt(847))**2 + 5).\nAnswer: -3392 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 898940013?\nAnswer: 3, 7529, 39799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.4234944 litres?\nAnswer: 423.4944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2 - 0. Let i = 21 - 14. Suppose 4*l + 27 = i*l - m, -4*l + m = -37. What is the highest common factor of h and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) be the second derivative of 11*t**3\/6 - 17*t. Let g(i) = -4*i. Calculate 3*b(f) + 8*g(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -v - 1. Give i(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 455533.\nAnswer: 13, 67, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 7*j**2 - 14*j + 4. Let n(m) = -7*m**2 + 16*m - 5. Determine -6*n(s) - 7*q(s).\nAnswer: -7*s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 362976*p - 362976*p - 8*p**3 + 686*p**2 as n*p**3 + g*p**2 + z + f*p and give g.\nAnswer: 686","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 131894.\nAnswer: 2, 7, 9421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 11*g - 17631 = 0, 0 = i + 90*g - 88*g - 8823. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 33 + (-155 - -116) - (1 - -10)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0 - -5. Solve h = -0*v - v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rgggagxzxgghghxzzz. Give prob of picking 1 x, 1 r, 1 a, and 1 g.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 48 and 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 57, 69, 103, 171, 285, 457, 699, 1023?\nAnswer: 1441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (-8 - 672\/(-91))*2\/(-8)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zzzzzzzzz. What is prob of picking 3 z?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 5*p = -a + 22, -3*p + 3 = 3*a. What is the derivative of 1 + 0*r**a + 0*r**3 - 5*r**3 + 5 wrt r?\nAnswer: -15*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = -14 + 46. Suppose 3*y - h - 4 = v, 0 = 4*h - 16. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 2*g**2 + 297*g + 4827. Calculate d(-127).\nAnswer: -634","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -65*w + 54*w + 55 = 0. Suppose 5*q = w*z + 310, 4 + 172 = 3*q + 2*z. Does 60 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - 22*h + 75 = 0. Suppose 12 = -4*d - 0*d. Put d, 9, h in ascending order.\nAnswer: d, h, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) be the third derivative of -p**6\/120 - p**5\/6 - p**4\/6 - 5*p**3\/2 + 15*p**2. Let k(o) = 10*o. Let q be k(-1). What is the units digit of x(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2, -27, -76, -155, -270?\nAnswer: -427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i**11*(i**(-3\/7)*i)\/i*i)**40 assuming i is positive.\nAnswer: i**(3520\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -15342045 (base 9) to base 15.\nAnswer: -a1030e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.968 - 1.068. Is 1\/47 less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-4)\/2)\/14 - 1716\/(-546). Suppose 0 = -l*h + 8*h. Sort h, -5, -4, -7.\nAnswer: -7, -5, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v + 13. Let t be u(-9). What is the first derivative of 4*y + 5*y - 4*y + t wrt y?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -99226674 divided by 18?\nAnswer: -5512593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -124997\/51 - -2451. Which is the closest to u?  (a) 2\/7  (b) -0.3  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i\/(i**(-1)*i))**34\/(i**(1\/3))**25)\/((i*i*i*((((i\/i**(1\/3)*i)\/i)\/i*i)\/i)\/i)**(8\/3))**(-6) assuming i is positive.\nAnswer: i**(259\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t**5\/4 + 19*t**3\/4 + 17*t**2\/2 - 3*t - 10 = 0. Calculate t.\nAnswer: -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + ((-6*(sqrt(77) - (sqrt(77) - sqrt(77)*-2)*-4))\/(-5*1*sqrt(1100)))**2.\nAnswer: 8147\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/2, -35, 32 in increasing order.\nAnswer: -35, 1\/2, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 152416907483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = 4*l + 115, -4*l + b + 3*b - 120 = 0. Let r(t) = t**3 + 25*t**2 - t - 22. Let a be r(l). Solve -15 = -2*z - a*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -4*v**2 - 18*v - 14. Determine x(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 9201 to the power of 1\/2, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:42 PM and 12:29 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3995 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-146)\/10)\/((-18)\/(-5)) and -47\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 3613688.1071 and 5.\nAnswer: 3613693.1071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 73\/48 and -25\/96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (17*y**2 + 21*y - 21*y)*(-4 + 2 + 1)*(-2 + 2 - 1) as k*y**2 + r + a*y and give k.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 196323721.\nAnswer: 11, 17847611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -250*a + 250*a - 22 + 6*a**2.\nAnswer: 6*a**2 - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 5 + da?\nAnswer: e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5 + 9 - 5) + (3 - -4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 91 + (-2 - -1 - 4). Suppose -q + 71 = -5*k. Solve -33 = 4*i + 5*j, -k*i - j = i + 13 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 379 + -379.3. Let s = -0.4 - 0.1. What is the second biggest value in s, t, 0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.7293775 to two decimal places.\nAnswer: 0.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 38961342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*f**3*u**2 + 2*f**3 - 83*f*p**3*u**2 + 1809*f*p**3*u + u**2 wrt u.\nAnswer: 8*f**3 - 166*f*p**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 16 - 13. Let d be -10*(c\/5 + (-19)\/(-10)). What is the units digit of (-143)\/(-5) + 15\/d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/16 - (-105)\/20 - (-392)\/(-70)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2 - 2110101?\nAnswer: -2110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 41.85487 centuries in decades?\nAnswer: 418.5487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1860\/(-124) - 718312\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -76038 (base 11) to base 15\nAnswer: -22b29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1957 is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -3, -1695, -1\/5, -0.5, -11?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -331*y + y**3 - 330*y - 3*y**3 + 661*y.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -7069, -2\/293, 14, 0.2?\nAnswer: -2\/293","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -404*s = -396*s. Solve s = -v + 26 - 23 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 58 = 5*m + 3*u, -13*u + 94 + 120 = 3*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 0.0351379693 - -4\nAnswer: 4.0351379693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*h**4\/25 + 8*h**3\/25 - 6*h**2\/25.\nAnswer: -2*h**2*(h - 3)*(h - 1)\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 342f7 - 1?\nAnswer: 342f6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) be the third derivative of -11*h**8\/280 - 4*h**4 - 23*h**3\/6 - 39*h**2. Let r(q) be the first derivative of p(q). Differentiate r(n) wrt n.\nAnswer: -264*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 7*q**2 - 2*q + 6. Let w(c) = 20*c**2 - 5*c + 17. Let h(x) = -17*j(x) + 6*w(x). Let a be h(-6). Suppose -3*u + a = -2*u. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 112210222101 (base 3) in base 2?\nAnswer: 1000111001011111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1445*y = 1428*y + 80087. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 102 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(132) + ((sqrt(132)*-3 - sqrt(132)) + sqrt(132))*-2 + sqrt(132) + (sqrt(132) + 2*sqrt(132))*4)\/(sqrt(24)\/(2*sqrt(98))).\nAnswer: 280*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -15 - -8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 136208 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -18 - -6. Let y = -4 - d. Suppose 4*x - 32 = 3*r, 3*r = x - 0*x - y. Calculate the remainder when 13 is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -2*x**3 + 3*x**2 - 3*x - 1. Let v(o) = -3*o**3 + 5*o**2 - 5*o - 2. Suppose -2*t = -3*t + 3. Let d(h) = t*v(h) - 5*a(h). What is d(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 2*v**3 - 58*v**2 + 2*v - 21. Calculate a(29).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 1, m: 1, s: 2, c: 2}. Give prob of sequence sqm.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 11*y + 113 - 105*y + 21*y + 28*y - 4*y wrt y.\nAnswer: -49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 2*z = -5*z - 2, -3*z = 0. Let p(l) = -199*l + 11. Is p(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of g*i**2*q + 2*g*i + 2*g - i**3 + i**2*q - 84*q wrt i.\nAnswer: 2*g*q - 6*i + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = p**3 - 21*p**2 + 49*p - 10. What is n(19)?\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -69806, -139612, -209420, -279230?\nAnswer: -349042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, 9\/5, 0.3, -5.42, 0.12, 5 in decreasing order.\nAnswer: 5, 9\/5, 0.3, 0.12, -0.4, -5.42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 1\/6 of a hour?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6038558218 rounded to 4 decimal places?\nAnswer: 0.6039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -94, -100, -110, -124?\n\"Answer: -2*t**2 - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 25084923 to the power of 1\/3, to the nearest integer?\nAnswer: 293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -10*z - z + 4*z + 2*z + 12 + 3*z. Let n(w) = 1. Give -2*b(t) + 22*n(t).\nAnswer: 4*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/9 at least as big as 68?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*p**3 - p**3 + 4*p**3 + (-5 + 2 + 5)*(7*p**3 + p**3 - 3*p**3) + p**3 + p**3 + 0*p**3 as x*p**3 + q + g*p**2 + n*p and give x.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -0.97*5\nAnswer: -4.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 15, o: 5}. Give prob of picking 3 o.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 u when two letters picked without replacement from {c: 2, u: 1, g: 7}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-4)\/(-20) - 38\/(-10). Suppose -2*t = r*o - 5*t - 19, -2*o = -4*t - 12. Let x be (38\/57)\/(o\/(-18)). Is x > -12\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 80210, 161196, 242170, 323126, 404058, 484960, 565826, 646650?\nAnswer: 727426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 276*l**3 - 18*l**2 + 11*l - 16. Is y(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = 4*c - 125. Let y be (-8)\/(-36) - c\/(-9). Solve -y*d - 9 = -3*p - 2*d, -3*d = 5*p - 1 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (651 - 139 - 154)*(v**4 + 3*v**4 - v**4)*(-8 + 3 - 4) in the form j*v**4 + p + y*v**2 + l*v**3 + d*v and give j.\nAnswer: -9666","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -1332.477602 rounded to two dps?\nAnswer: -1332.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -10, 3, -5, 5 in descending order.\nAnswer: 5, 3, 0, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 - 1 = -2*w. Suppose -3*y = w*y - 10. What is the first derivative of 4 - y - 2*c**3 + 2 wrt c?\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 140 = 84*f + 1128 - 148 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 35 divide 9418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l**4\/2 + 73*l**3\/2 + 387*l**2\/2 + 243*l\/2 - 351 = 0. Calculate l.\nAnswer: -3, 1, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 11 + 9*d + 4*d**3 - 27 + 12 + 4*d**3 - 17*d as i + p*d**3 + n*d**2 + a*d and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1845 and 82.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 4*x**3 - 333*x**2 + 94*x - 921. What is c(83)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11110122110 (base 3) to base 16.\nAnswer: 1578f","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = v + 5. Let i be o(-4). Let w(k) = -k. Let t(p) = 3*p**3 - p**2 - 4*p. Let n(l) = i*t(l) - 4*w(l). Find the third derivative of n(u) wrt u.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = n**3 - 2*n**2 - 5*n + 2. Calculate x(-3).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor l**2\/5 + 86*l\/5 + 1849\/5.\nAnswer: (l + 43)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 203658 is divided by 37?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (12 + -9)\/(3\/7). Solve 5*o = -3*k + a*k - 25, 4*o + 5*k - 21 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (24*1\/(-70))\/(18\/(-14)).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -36415*n*o**3 - 36*n*o - 2*n - 22*o - 5 wrt o?\nAnswer: -218490*n*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:06 AM and 7:57 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rwrfwwffff. What is prob of sequence wrww?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -7405*a**5*y + 17*a**2*y + a*y - 10*y - 3 wrt a.\nAnswer: -444300*a**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 3*g**2 - 116*g - 294. What is f(41)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + 4 = 5*s. Let u = s - 3. Let j = 0 + u. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i**(5\/7)*i\/i**(-12))**(3\/2) assuming i is positive.\nAnswer: i**(309\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -637315247 rounded to the nearest one million?\nAnswer: -637000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/3)\/((-13784)\/134394).\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*x**5 - 129*x**4 - x**2 - 65 wrt x?\nAnswer: 120*x**2 - 3096*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Total of 68905943662312 and 0.\nAnswer: 68905943662312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) be the third derivative of b**5\/30 + b**4\/12 - 11*b**2. Factor a(j).\nAnswer: 2*j*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -8 - -5. Let o(y) = 3*y + 1. Let a be o(-2). Let r = f - a. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*k**2 - 3*k**2 - 2*k**2)*(-2*k - 4*k + 4*k)*(63 - 9 - 1) to the form o*k**3 + h*k**2 + w + i*k and give o.\nAnswer: 318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 108 and 8298564.\nAnswer: 74687076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-14)\/(-2*2\/(-4)). Let k be (-1 - -1)*(-14)\/s. Suppose -17*c + 14*c + 255 = k. Is 18 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 154 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4279301 is divided by 475477.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -18 + 18. Which is the closest to -3\/4?  (a) -1\/4  (b) -0.4  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1\/7  (b) 4  (c) -13\/7  (d) -0.2  (e) 1.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -19782.4 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.441 - -0.421. Let f = 17\/91 - 6\/35. Let z = f + -141\/715. Are d and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 37568428 divided by -257318\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -149\/40 - -33\/8. What is the closest to 5 in -1\/4, j, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 19080 by -3816.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w + 12 = 2*l, 180 = -5*w + 3*l + 154 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11\/2, 0.3, -2, -1\/11 in increasing order.\nAnswer: -2, -1\/11, 0.3, 11\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (5 - 2)\/(1\/5). Suppose 15*t + 13 - 43 = 0. Solve -t*o - o + a = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 755 (base 8) in base 9?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(132)\/(sqrt(4) - sqrt(36)))\/sqrt(11).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(2 + -3*(-1 + sqrt(325))*-1))**2.\nAnswer: -1080*sqrt(13) + 105336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 - 14*l + 1 + 10*l**2.\nAnswer: 10*l**2 - 14*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -57, -329, -1, -12 in increasing order.\nAnswer: -329, -57, -12, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -5, 0.10317, 30\/17, -4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(22)\/(sqrt(11) - -6*(sqrt(11) + sqrt(99))).\nAnswer: sqrt(2)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.8936146 times -2?\nAnswer: -3.7872292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 8450.553944011 less than 2?\nAnswer: -8448.553944011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 1, 3, -7 in increasing order.\nAnswer: -7, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -462 + 183. Find the common denominator of 11\/16 and l\/(-240)*(-10 + 12).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -j + 1. Let q be p(-2). Suppose -3*w + 4*b - 9 = -b, -15 = -3*w - q*b. Solve 1 = s - m, w*s - 2 = 4*s - 4*m for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 81*z - 2247. Calculate the remainder when p(100) is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -11, -4, -0.1 in descending order.\nAnswer: -0.1, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 120725741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 3*v + 18 = 0. Let k be (-1)\/18*(-5 - v). Let g = -2 - -1. Put 2\/11, k, g in descending order.\nAnswer: 2\/11, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1846 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from abaaaueugfuagfbffaub. What is prob of picking 1 f, 1 a, and 1 b?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-35)\/(-25)*((-19995)\/559)\/31.\nAnswer: -21\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -46446*z**3 - z**2 + 46430*z**3 + z**2.\nAnswer: -16*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is w in 3*w**5\/4 - 774*w**4 + 4635*w**3\/2 - 2316*w**2 + 3087*w\/4 = 0?\nAnswer: 0, 1, 1029","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 + 21 = 4*x. Let w = x + -4. Suppose 5*b + w*t = 1699994, 0*b + 3*t = 2*b - 680009. 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 c be 9 + (9 - 5) + -5. Solve c = 3*k - 5*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find o, given that -2*o**2\/7 - 36552*o\/7 - 1604416\/7 = 0.\nAnswer: -18232, -44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 7939898206?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 33, 365, -20, -4, -3\/8.\nAnswer: -20, -4, -3\/8, 33, 365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*t - 245429 = 680460. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 2*n**2 - 1966*n - 34050. Give h(-17).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 167.6178 rounded to one dp?\nAnswer: 167.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -4\/3, 2, 5, -5, 9\/17?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -8 - -11. Let f(s) = -s**3 + 3*s**2. Let h be f(v). What is the third derivative of h*c + 9*c**3 - 8*c**3 + 0*c - 4*c**2 wrt c?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s**4\/7 - 920*s**3\/7 - 317400*s**2\/7 - 48668000*s\/7 - 2798410000\/7 = 0. What is s?\nAnswer: -230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 3982 = -9*c + 2*a, 4*c + 2*a + 3994 = 0. Let z = c - -997. Let h = 170\/77 - 18\/7. Which is bigger: h or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4 + 22. Let j be (-68)\/h - 12\/54. Let y be (-41)\/(-8) + 15\/(-120). Sort 4, j, y in increasing order.\nAnswer: j, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 35867160 to the power of 1\/2, to the nearest integer?\nAnswer: 5989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/5, 2\/9, -7249.1, 12 in descending order.\nAnswer: 12, 2\/5, 2\/9, -7249.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*j + 2*i + 21, i + 3 + 0 = 0. Let h = 907 - 7155\/8. What is the common denominator of (-366)\/48 + j\/6 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 45339 and 1428?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + ((-3*(sqrt(153) + -2*sqrt(153)))\/((sqrt(315)\/sqrt(5))\/sqrt(7)))**2.\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -6 + 36. Suppose 0 = a*k - 33*k + 72. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -2*q - 101. Let a(r) = -r - 1. Let v(c) = -3*a(c) - b(c). Calculate the remainder when 91 is divided by v(-17).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 2*z - 3*v + 148 = 0, 4*z - 152 = -4*v. Let q = z + -34. Solve 15 + q = 5*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c + 3*a = -4, -14*c + 5*a + 3 = -16*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z = 10, 4*x - 2*x - 4*z - 26 = 0. Suppose 0 = -o + 4*q + 8, -3*o = -q + x*q - 80. Solve 0 = -2*d + 6*d + 4*p - o, 3 = -2*d + 3*p for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1\/(-6) - (-62)\/12. Let t(a) = 24*a**3 - 27*a**2 + 8*a. Let v(w) = -36*w**3 + 41*w**2 - 12*w. Let q(m) = x*v(m) + 7*t(m). Find k such that q(k) = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-723)\/(-27) - (-2)\/9. Suppose u = -2*z + 85. Suppose -5*p = -25, -3*p + z = -4*y + 2*p. Which is the smallest value?  (a) y  (b) 0.1  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2647*l**6 - 6477*l**2 wrt l.\nAnswer: 317640*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 4.836255 millimeters?\nAnswer: 0.4836255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:07 PM and 10:48 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/h**(8\/9))**(5\/8)\/(h**(6\/11))**26)**(-9) assuming h is positive.\nAnswer: h**(11177\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -2*j + 1. Let s = -3 + 8. Suppose s*a - 15 = 10. What is b(a)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2151497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9a97 (base 14) to base 10.\nAnswer: 26789","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 36123.91 hours in nanoseconds?\nAnswer: 130046076000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -2*o**2. Let k(j) = j**3 + 16*j**2 - 18*j - 4. Let b be k(-17). Let n = 21 + b. Let u(f) = n*f - 71*f + 39*f. Determine u(l(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 214833 to the power of 1\/2, to the nearest integer?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(352)\/(sqrt(56)\/sqrt(7)))\/sqrt(4).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 6 - 6. Let r be (1 - h\/(-3))*3. Solve -5*z = -2*k - 4, 0 = k - r*z - 4 + 7 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000319 to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 45591477?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gwwwwogwwowgg. Give prob of sequence goo.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 7*k - 4. Let y be v(3). What is the second derivative of -5*n**5 - 12*n - 17 + y + n**5 wrt n?\nAnswer: -80*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 898532 to the nearest integer?\nAnswer: 948","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 5 + 16811c3?\nAnswer: 16811c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2160 - -2188. Solve -21*q = -c*q - 28 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/5 in 624\/19, -4, 0.5, -0.5, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-3)\/(-4) - (-3402)\/168. Suppose t - u = -f, -3*f + 5*t + 15 + 40 = 0. Calculate the remainder when 95 is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*y**2 - 32349*y - 48537 = 0 for y.\nAnswer: -3\/2, 5393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -4*i - 6*i + 6*i - 10 + 3*i. Let o be c(-10). What is the second derivative of 0 - 2*d + o + 0 - 6*d**4 wrt d?\nAnswer: -72*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.2 and 0.0782.\nAnswer: -0.1218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + 61 = -3*g, -44 = 2*g - 0*g + 3*u. Let q = -14 - g. Calculate the remainder when q is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 1, 36.\nAnswer: 1, 5, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = x**3 + 34*x**2 - 2*x - 69. Let t be o(-34). Which is the closest to 0?  (a) 5  (b) 3  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35406771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*v**3 + 2026*v**2 + 739*v**2 - 1598*v**2 + v + 1 to the form o*v + c*v**2 + y*v**3 + d and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (77\/42)\/((1394\/612)\/41)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 176\/48 - (-20)\/(-12). Suppose -4*f = -1 - 3. Sort 4, f, k in decreasing order.\nAnswer: 4, k, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = g**3 - 5*g**2 + 6*g - 6. Let d be n(4). Which is greater: -1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -3349366 and -3349365 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*(sqrt(143) - (sqrt(143) - sqrt(143)*-2)) + sqrt(143))\/sqrt(11))**2*3.\nAnswer: 975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 163555?\nAnswer: 5, 7, 4673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*b + 9*b - 6 = 0. Suppose 5*v - 81 = b*v. What is the units digit of 168\/v - (-2)\/(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u = 5*u + x + 13, 0 = 5*u - 2*x + 4. Let h(i) = 3*i**3 + 2*i**2 - i + 2. Let c(o) = -13*o**3 - 9*o**2 + 4*o - 9. Determine u*c(j) - 9*h(j).\nAnswer: -j**3 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 203594780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -1\/2, -51\/8, 2\/7, -351?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 15169573 to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 140 is divided by 32?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 338*i**3 - 2*i**2 + 2*i**2.\nAnswer: 338*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*r + 5*j - 26, 12*r + 20 = 14*r + 3*j. Let v(g) = g. Let s be v(3). Sort r, 4, s, -2 in increasing order.\nAnswer: -2, r, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 6\/(-2)*(-4)\/6. Suppose -4*x + 62 = q, x - p*x = -4. Suppose 4*a - 5*a + q = 0. Does 24 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12832 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = s**2 - 1. Let o be t(-2). Suppose -4*l + 1 = -o. Let j be l\/3 + 60\/9. Solve -32 = -5*c - j for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -444*x + 23587. What is b(55)?\nAnswer: -833","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -818*l**2*m**4 + 4147*l**2 + m**4 - 2*m wrt m.\nAnswer: -3272*l**2*m**3 + 4*m**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 2*l. Let b(n) = -n + 152. Let f(k) = 57. Let z(q) = -2. Let j(a) = 4*f(a) + 76*z(a). Let m(g) = 3*b(g) - 7*j(g). Calculate m(o(r)).\nAnswer: -6*r - 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -q + 5*p, -5*q + 4*p - 20 + 1 = 0. Let o = q - -3. Let k**2 + 1\/4*k**4 + o*k + 0 - k**3 = 0. Calculate k.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 2*y + 2)*(-17*y**2 + 10*y**2 + 3*y**2).\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4792399 is divided by 77?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x + 2 = 0, q - x - 5 = 4*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8030, 8266, 8624, 9164, 9946, 11030, 12476, 14344?\nAnswer: 16694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*m + 5*k = 34*m - 15, 0 = 3*k. Solve 2*t + m*t = -t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 28 + (-21 + -21 - (-1 - 24))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -316, 278, 1282, 2702, 4544?\n\"Answer: d**3 + 199*d**2 - 10*d - 506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9988252?\nAnswer: 2, 47, 53129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -735 - 388 + 6*x - x - 4461.\nAnswer: 5*x - 5584","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 830284 + 2?\nAnswer: 830286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 4*j**2 - 544*j + 13591. What is l(33)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -172 - -205. What is the second derivative of 1233*d - y*d**2 - 4 + 4 - 1260*d wrt d?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 7427 - 7361. Solve 7*z + x = 17 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.2  (b) 28  (c) 5  (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -x. Suppose 2*f = 2*u - 10, 3*u - 4*f - 12 = -2*f. Let h(y) = u*y**2 - 31 - 26 + 57. Give v(h(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -6812.12398 rounded to the nearest ten?\nAnswer: -6810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -6*u**3 + 21*u**3 - 6 - 10*u**3 - 4*u**3 + 5*u**2 + u. Determine z(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:21 PM and 3:45 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 121265?\nAnswer: 5, 79, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44*k - 407 - 258 + 49 = 0 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -n**3 + 24*n**2 + 2*n - 12. Let w be y(24). Suppose -4*s - 96 = -w*s. Solve v + 7 = s*q, -4*q - 3*v + 41 = 2*v for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*s + 14950 + 4391. What is the remainder when s is divided by 196?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*k + 5*c + 509, 3*k + 382 = -12*c + 8*c. Let o = -125 - k. Solve 2*g - g + o = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, 5, -1, -22, 7.\nAnswer: -22, -10, -1, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 237997 is divided by 46744?\nAnswer: 4277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 44 - -1349?\nAnswer: 1393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*k + 16*k - 1144. Calculate the smallest common multiple of k and 56.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 8790 or 0.1245?\nAnswer: 8790","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 684*o**5 + 1590*o**2.\nAnswer: 41040*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((z\/z**(-8))\/z)\/z)\/((z**(-12)\/z*z)\/z*z))\/(z\/(z**(2\/27)*z)*z**(-16)))**19 assuming z is positive.\nAnswer: z**(17993\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/1*(-4)\/(-5).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1.9, -0.5, 4\/7, 39\/56, 1, -2\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3617.\nAnswer: 3617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 268666131361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 50456867 to the power of 1\/3, to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x + 0*x = 2*t - 22, -5*t + 55 = 2*x. Suppose t = 2*g + y, 0*y = -5*g + 2*y + 23. Is g at least 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) be the third derivative of 0 - 5\/6*o**3 + 1\/4*o**4 + 3*o**2 + 0*o - 1\/10*o**5. Let h(w) = -w**2 + w - 1. Give -g(p) + 5*h(p).\nAnswer: p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 4, -0.19, -1, 5, -1152?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f = 5*q + 131 + 634, 0 = -3*f - 3*q + 441. Let g = f - 82. Let h = g - 48. Solve h = 2*c + 2*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -12*x**2. Suppose -3*y = -6*y - 7*y - y. Let l(v) be the second derivative of y - 1\/3*v**3 + 0*v**2 + 42*v. Give l(m(i)).\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -453, -3532, -11901, -28212, -55117, -95268, -151317, -225916?\n\"Answer: -442*c**3 + 7*c**2 - 6*c - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 14053463651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1243843565 to the power of 1\/5, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 0.3, 1, 4\/7, -2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -31\/74, 5, 0.2, -0.2, -2\/11 in ascending order.\nAnswer: -31\/74, -0.2, -2\/11, 0, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (2 - (11 - 13 - 6) - 1) + 9\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -63 divided by 22.\nAnswer: -63\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-6)\/36*-6*(1 - -1). Suppose 4*b = 3*k + 354, -2*b + 358 = v*b - 5*k. What is the remainder when b is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*r**2 + 0*r**2 - r**2 + 2*r**2 + 29.\nAnswer: -3*r**2 + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-10368)\/66)\/24 - 1*-6.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -d**3 - 8*d**2 + 121*d - 104. Calculate the smallest common multiple of c(-16) and 5975.\nAnswer: 47800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-2\/5))**(-20)*(w**(-1\/2))**(20\/7))**(-9\/11) assuming w is positive.\nAnswer: w**(-414\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 121 + -134 - (-5 - (0 - -1 - 2)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.5  (b) 2  (c) -0.0145  (d) -1.5012\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 247036720*z**2 - 2*z + 74407817.\nAnswer: 494073440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let 27*y**2 - 345093*y + 76686 = 0. Calculate y.\nAnswer: 2\/9, 12781","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -42*z + i - 78, -3*z - 575*i = -571*i + 30 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-18)*q)\/(q*q\/(q*(q*(q\/((q**1\/q)\/q)*q)\/q*q)\/q))*q**(-4\/9)*q*q**(-1\/2) assuming q is positive.\nAnswer: q**(-269\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (24\/20)\/((-3)\/10)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 35*a - 3*a**3 + 29*a**3 - 45*a.\nAnswer: 26*a**3 - 10*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 54883 + -2383. Is a a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 118318018?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13231 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.05 in -2.1, -46, -5, -2, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -5*x - 1. Determine z(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -5, 13\/316, 0, -8, -4\/7 in increasing order.\nAnswer: -8, -5, -4\/7, 0, 13\/316, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) be the first derivative of 0*a + a - 2*a**2 + 0*a**2 + 2 + a**2. Let x(w) = -3*w + 2. Let l = 242 + -234. Calculate l*j(p) - 5*x(p).\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Determine g so that 5*g**3\/2 + 43*g**2\/4 - 19*g\/2 - 15\/4 = 0.\nAnswer: -5, -3\/10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 10232936 by 3563.\nAnswer: 2872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 6 (base 10) to base 11\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 301 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w\/(w\/w**(-1\/3))*w)\/w)**20*w**(4\/5)*w**(3\/7) assuming w is positive.\nAnswer: w**(1529\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide -122382 by -13598.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*u - u - u)*((4 - 3 - 2)*(0*u**2 + 4*u**2 - 2*u**2) - 3*u**2 + 4*u**2 + 0*u**2 + 17*u**2 - 57*u**2 + 14*u**2).\nAnswer: 54*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 224\/(-46) - (-1 + -3). Let q be (-1674)\/(-920) + (-2)\/(-8). Let y = q + x. Is y greater than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4 - 1. Let t(j) = -j**3 - 8*j**2 - 7*j - 1. Let c be t(-7). Let m be 1\/(((-4)\/6)\/2). Sort c, w, m in descending order.\nAnswer: c, m, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -2*(-6)\/(-8)*2. Let p(o) be the first derivative of -o**3\/3 - 3*o**2\/2 - 3*o + 6. Calculate p(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 34244 - -2?\nAnswer: 34301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -a**2 + 51*a - 473. Let h be b(39). Sort h, -12, 0, -6.\nAnswer: -12, -6, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 118 + -100. Calculate the highest common factor of u and 162.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -c + 12. Let g = -4 + 15. Let v be q(g). Let y(h) = -2*h**2 - v - 5 + 6. Let z(b) = 3*b. What is z(y(d))?\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*t - 15*t = -21. Calculate the remainder when 27 is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -425 and 10 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -21*a + 19*a. Suppose 2*y = -2*s + 14, 0 = 3*s - 2*y + a - 46. Calculate the lowest common multiple of s and (-1*2)\/1 + 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/(36\/(-36))*-10.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 167*n - 143*n - 2387*n - 30719 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 308, 354, 402, 452, 504?\nAnswer: 558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -261 - -268. Let c(p) = -5*p + 6. What is the remainder when c(-4) is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that -y**2\/5 + 4501*y\/5 + 4506 = 0.\nAnswer: -5, 4506","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2458158.57575 + 8.43.\nAnswer: -2458150.14575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*v**2 + 29*v + 24*v - 76*v + 23*v.\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35 = -8*r + 3*r + 5*u, 2 = -u. Suppose j + 2*j - 6 = d, 2*j - r = d. What is the second smallest value in -5, 3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) be the first derivative of 2*o**2 - 3*o - 2. Let m(z) = 7*z - 5. Let k(n) = -3*m(n) + 5*w(n). Let i(r) = 4 - 3*r - 4. What is k(i(g))?\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -90, -106, -132, -168, -214, -270?\nAnswer: -336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 138017 + -97172. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-2*sqrt(72) - sqrt(72))*5)\/(sqrt(576)*1))\/((-3*(sqrt(99) - (sqrt(99)*-2 - sqrt(99))) + sqrt(99))\/(sqrt(704)*2 - sqrt(704) - sqrt(11)))*-1.\nAnswer: -35*sqrt(2)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 minutes after 6:26 PM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -156, -313, -474, -639, -808, -981, -1158?\n\"Answer: -2*k**2 - 151*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (160\/24)\/2*186\/(-155).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -483*m = -488*m - 30 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1624472*j - 2*v - 122 = -1624467*j, -2*j + 5*v = -276 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 24 = -2*z - 8, 5*h = 2*z + 71. Suppose 0 = -4*a - 5*f + 33, -2*a + h + 11 = 4*f. Suppose a*b - b - 5 = 0. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 118502037 to the power of 1\/3, to the nearest integer?\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -11 + 3. Sort z, 4, 14 in decreasing order.\nAnswer: 14, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -328*x**3 - 3*x**2 - 645*x - 643. Calculate m(-1).\nAnswer: 327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -138 - -3?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 2*u + 4. Let t(v) be the second derivative of v**3\/6 + v**2 - 8*v. Let b(d) be the first derivative of t(d). Give 6*b(n) - j(n).\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 1763 (base 8) to base 16\nAnswer: 3f3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = y - 5*y + 2*z + z - 3 - 7, 3*y + 6 = 3*z for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1836 - -1610. Sort t, -3, -0.2, -2 in decreasing order.\nAnswer: -0.2, -2, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 40213 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 9 in -2\/5, 2, 1.55, 2\/11, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 2 + 2)*(3 + 2*j - 3) + 3*j - 3 + 0*j + 1.\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -1 times -4.06532\nAnswer: 4.06532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 1 + 13 - (111 + 68 + -115)\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-34)\/2 + 8)*(-2)\/(-24).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 24*m**2 - 5*m - 7. Let z be k(-4). Let n = z - 394. Solve t + 2*c - 7 = -0*c, 0 = n*t - 5*c + 23 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30 = -29*a + 23*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -20122200210 (base 3) to base 13.\nAnswer: -4781a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/994230479 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -z**3 - 3*z**2 - z + 2. Let c be b(-3). Let p(q) = -48*q + 2065. Let i be p(43). Solve -c*s - 9 = i for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) be the first derivative of -1\/3*d**3 - 6*d + 2*d**2 + 11. Determine f(6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 483*a + 10753. Give v(-22).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -17588276*a**3 - 270*a - 4834 wrt a.\nAnswer: -105529656*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 23*l**2 + 11*l + 3. What are the prime factors of a(-2)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -55*a + 25 + 151*a - 47*a - 51*a. Let y be j(12). Let x(v) = 11*v**3. Determine x(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f**(1\/3)*f\/f**(-3)*f**(-6)*f*f*((f**3\/f)\/f)\/f)**(-13))**(-9) assuming f is positive.\nAnswer: f**156","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 23321657?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -1366901, -2733803, -4100705, -5467607, -6834509?\n\"Answer: -1366902*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 181947 is divided by 139.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*j**4*m + 4*j**4 - 6*j**2*m + 31*j*m + 9*m wrt j?\nAnswer: 24*j**2*m + 48*j**2 - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3.1 + -3.1. What is the smallest value in w, -5, -4\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 549*y**4 - 30*y - 55820150.\nAnswer: 2196*y**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 10 - -103399?\nAnswer: 103409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:52 AM and 9:26 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 4  (b) -7  (c) 3\/4  (d) 70  (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 84\/(-1020) - (-12)\/(-102)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*t**3 - 7*t**2 + 13*t**3 + 7 + 2*t - 7*t**3 - 46 - 6*t**3 in the form l*t**2 + m + a*t**3 + x*t and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -4\/7, 1, -31, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 129840469.\nAnswer: 11, 71, 83, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -55.9 take away -18.8032?\nAnswer: -37.0968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = x - 2*x + 5, x = -4*a + 8. Let r = -68 - -86. Let n = r + x. What is the lowest common multiple of 2 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 177947.\nAnswer: 7, 11, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*i + 106 - 96. Let p(y) = 3*y + 6. Let h(n) be the third derivative of -n**4\/12 - n**3\/2 + 2*n**2. Let k(r) = -5*h(r) - 3*p(r). Determine k(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ddjd when four letters picked without replacement from jdjd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/(-4)*2*170\/255.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 6, b: 2, e: 5, h: 1, q: 3}. What is prob of picking 1 h and 1 q?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - -1 - (-71 - -80)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -w - 3*w + 3*w**2 - 5 - 2*w**2. Let t be j(7). Solve 2*u = 5*z + 9 + 16, 2*z + t = 2*u for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10.05112704 rounded to three dps?\nAnswer: -10.051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1682.899983889 - -1682.9. What is n rounded to 7 decimal places?\nAnswer: 0.0000161","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -20677*b. Let a(o) = -2*o**2. Give a(g(l)).\nAnswer: -855076658*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -81\/392 and -23\/84.\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1169207153 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 53\/37416 and -11\/12.\nAnswer: 37416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(((sqrt(306)*3 - sqrt(306)) + sqrt(306))\/sqrt(6) + 3*sqrt(459))\/(-5*sqrt(12)\/sqrt(4) + 4*sqrt(18)\/sqrt(6)).\nAnswer: 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 43 at most as big as 43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j = -10 + 30 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) be the second derivative of -1\/10*f**4 + 3*f + 3\/100*f**5 + 3\/5*f**2 + 0 - 1\/10*f**3. Factor w(x).\nAnswer: 3*(x - 2)*(x - 1)*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -949*x - 189*x + 4*x = 294*x - 192780 for x.\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**6\/g)\/g*g\/(g*g*g**(-1))*g**(-1)*g**(-8)\/g assuming g is positive.\nAnswer: g**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ajj when three letters picked without replacement from {a: 3, j: 12}.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*l**2 - 38947120*l + 75843907814720.\nAnswer: 5*(l - 3894712)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jjjgsjjzrjrgrz. Give prob of sequence zjrg.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fvs when three letters picked without replacement from {l: 1, s: 2, f: 1, c: 1, e: 1, v: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 84390, 337309, 758834, 1348959, 2107678?\n\"Answer: -h**3 + 84309*h**2 - h + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21 - 12 - 2*s - 9.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 838389 and 3468.\nAnswer: 867","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (18204\/(-172938))\/((-12)\/(-133)).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in two fifteenths of a decade?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 809?\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 + -11 + -4 + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 40\/128*-4 + 1. Which is the nearest to 1\/29?  (a) r  (b) 2  (c) 1  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 4. Let c(b) = 5*b + 134. Let r be c(0). Let f = r + -137. Let j(o) be the third derivative of o**4\/24 - 5*o**3\/6 - o**2. Calculate f*m(g) - 2*j(g).\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -8011 at most as big as -8009?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p = 560 + 300. Let b(k) = -178*k + 8 + 13 + p*k. Determine b(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 79*f + 3*n = 84*f + n + 2 + 10, -6 = -n for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 321 minutes before 4:36 PM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 9*r + 4. Let k(h) be the third derivative of h**4\/6 + h**3\/3 + 19*h**2. Calculate -3*d(j) + 7*k(j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Product of 35.5806 and -0.05.\nAnswer: -1.77903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1390.\nAnswer: 2, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + r = 3*a + 1112, -5*a - 4*r = 1856. What is the remainder when 60 is divided by a\/(-30)*(-5)\/(-2)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 13283194 and 2782?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -987496*t - 32. Let f be r(8). Round f to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yx when two letters picked without replacement from yxxxxdxddy?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 4*x**2 - 33*x - 107. Let d = 240 - 162. Calculate the remainder when d is divided by v(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -94 - -90. Let x(m) = -33*m. What is the tens digit of x(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -3, -58, -207, -498, -979, -1698, -2703?\n\"Answer: -8*t**3 + t**2 - 2*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1298466 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -105, -104, -103, -102, -101?\n\"Answer: r - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -2494 at least as big as -2496?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5284940731 to the nearest integer?\nAnswer: 1742","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 2 + 10 = 3*r, -2*r + 2 = d. Let i be (6 + (-3 - r))*-1*1. Is -1\/19 at most as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 7018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 6852 * 2.8\nAnswer: 19185.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xdixhdxddeis. What is prob of sequence dd?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0636952 seconds in milliseconds?\nAnswer: 63.6952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -4624 or -94171?\nAnswer: -4624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15389 is divided by 699.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 122 is divided by 43.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 235069298 to the power of 1\/5, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lslc. Give prob of picking 2 l.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1191887605 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s + 13 = 13*a - 8*a, 3*a - 35 = -5*s for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 2*h**2 + 2*h**3 + 4*h**3 - 8*h**3 - 2 to the form t*h + s*h**2 + d + v*h**3 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -12*u + 4*u + u**4 - 546*u**2 + 553*u**2 to the form f*u + k + y*u**2 + m*u**4 + q*u**3 and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -10 (base 15) to base 11\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z**5 - 1031*z**4 - 1226*z**3 + 826*z**2 + 1231*z + 205 = 0 for z.\nAnswer: -205, -1, -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3 + 7. Let o be q\/(-6) + (-2156)\/(-12). What is o rounded to the nearest ten?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -84 + 298. What is the first derivative of 790 + 22*c**2 + 94*c**2 - 236 - 272 - v wrt c?\nAnswer: 232*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.6 in 51.1, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 63 + -53. What is the remainder when 17 is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-86)\/(-215))\/(30\/25) - 326\/6.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 >= 1782\/435631?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -24497, -24488, -24467, -24428, -24365, -24272, -24143?\n\"Answer: m**3 + 2*m - 24500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 525866, 1\/4, -2.5 in ascending order.\nAnswer: -2.5, 1\/4, 525866","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 93*v - 2*v**4 + 178*v**3 + 0*v**4 + 2 + 177*v**3 - 354*v**3 to b*v + z*v**4 + s + u*v**3 + j*v**2 and give b.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 2*y + 2*y = 44, -3*m = 5*y - 70. Let x be 3\/15 + 84\/m. Find the third derivative of 13*k**3 - 31*k**2 - 35*k**x + 9*k**3 wrt k.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 64205 (base 8) to base 10.\nAnswer: 26757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2468932*-0.3.\nAnswer: -740679.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*w + 227383 = 58203. What is w rounded to the nearest one thousand?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1019 times -0.2?\nAnswer: -203.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -493*i - 5602. Let f(z) = 269*z + 2801. What is -11*f(r) - 6*j(r)?\nAnswer: -r + 2801","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 88 divided by -22?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-1)\/(-2) - 1) + 1325\/50. Let r = -24 + o. Solve 0 = r*a + a + 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(-56) + 33\/132?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 49899584 + -0.38.\nAnswer: 49899583.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 2, c: 2, y: 1}. Give prob of sequence nc.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + 3 + (sqrt(1573) + -1 + sqrt(1573))*3 + sqrt(143)\/sqrt(275) + sqrt(117)*2 + sqrt(13).\nAnswer: -1 + 366*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -920, -919, -916, -911, -904, -895, -884?\n\"Answer: s**2 - 2*s - 919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 11*o**2 + 13*o - 28. Let m(g) = g**2 + g - 1. Let b(f) = h(f) - 3*m(f). Let k be b(8). Suppose 5*n - k - 743 = 0. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -4, 97, 2, 1, -2, -177.\nAnswer: -177, -4, -2, 1, 2, 6, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 204.5858ms in microseconds?\nAnswer: 204585.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -2355.627 * 36\nAnswer: -84802.572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 + 73 = o. Is o a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:00 PM and 11:38 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1 - 4591a2?\nAnswer: -4591a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 10\/(-25) - 517\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:14 PM and 3:55 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 141.5 - 130. Let m = -11.9 + q. Which is the second biggest value?  (a) -2\/13  (b) -29  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 174780 and 1092?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 982 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((s\/((s**(2\/5)\/s)\/s))\/s)\/s*s)**29)**(15\/7)*(s*s*s*((s*s*s*s*s**(-3)*s)\/s*s)\/s*s*s*s*s**(1\/7))\/(((s\/s**0)\/s)\/s**(-2\/13)) assuming s is positive.\nAnswer: s**(9684\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 27\/(189\/(-245)) + 0. Suppose -2*k - 108 = k. Are k and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 44 and -9325.\nAnswer: -9281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(-4)*l*l\/l**(-1\/4) assuming l is positive.\nAnswer: l**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-6)\/(-27) - (-2 - 6\/(-3)). Suppose -2 = -4*z + 6*z. Suppose -3*m - 2*b - 11 = 2*b, 4*m - 17 = b. What is the third biggest value in z, m, f?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 429 minutes after 9:48 AM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 3549 = 81. Let i = a + -1767\/2. Find the common denominator of 26 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in twenty-five halves of a millennium?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.11 and 21.7?\nAnswer: 21.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 1646, 1812, 2308, 3314, 5010?\n\"Answer: 30*q**3 - 15*q**2 + q + 1630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 1  (b) -7  (c) 3  (d) -57  (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sddd when four letters picked without replacement from dffsf?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the first derivative of -p**4\/4 - 7*p**3\/3 - p**2 + 8*p - 355. Give h(-7).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wnwn when four letters picked without replacement from nnnqwwqq?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -d8 - -e?\nAnswer: -c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.4 - 0.7. Let m = h - -4.3. Which is the second smallest value?  (a) -5  (b) -3\/5  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 294851*z**3 - 16*z**2 + 28*z. Let q be f(2). What is q rounded to the nearest 10000?\nAnswer: 2360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9835.277 grams in milligrams?\nAnswer: 9835277","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 287857 to the power of 1\/3, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yrryrrrr. What is prob of sequence rryr?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-17))**(-1\/23)\/(v\/v**(-2\/3))**50 assuming v is positive.\nAnswer: v**(-5699\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2 - 0. Let s be 2\/(-42) + 7\/21. Put s, -3, j in decreasing order.\nAnswer: j, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9 - (-2)\/2)\/(-1 + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4485)\/(-460))\/((3\/24*1)\/(39\/234)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7047*s**2 - 5265*s**3 - 2602*s**3 + 7047*s**2.\nAnswer: -7867*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -296 (base 14) to base 10.\nAnswer: -524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b**(-3))**(-1\/6)*(b\/(b*b*b**(4\/15)))\/(b*b**5) assuming b is positive.\nAnswer: b**(-104\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {x: 2, p: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 13*p**3*r**2*t**2 + 4*p**3*r*t**3 + 2*p**3*r*t + 22*p**3*t**3 - 17*p**2*t**3 + 12197*p*r**2*t**3 - 3*p*r*t**3 wrt r?\nAnswer: 26*p**3*t**2 + 24394*p*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 409493 and 26852?\nAnswer: 1637972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide -131 by -1.\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 71*r + 2 = 72*r. Let n be (-152)\/(-6)*3*r. Let k = 413 - n. Is k a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 4*m - 23. Let y be z(10). Suppose -45 - y = -r. List the prime factors of r.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of o*w**3 - 5*o*w**2 - 3*o*w + 3*o - 200*w**4 wrt w?\nAnswer: 6*o - 4800*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 10 divided by -18\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -54 * -4\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -0.063456047 times -9\nAnswer: 0.571104423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:20 AM and 9:07 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t**5\/4 + 79*t**4\/4 - 459*t**3 + 3456*t**2 - 10584*t + 10692 = 0. What is t?\nAnswer: -99, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 83977 is divided by 10496.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aitfifd. Give prob of sequence ffi.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) be the second derivative of -o**6\/5 - o**5\/20 + o**3\/2 + 3*o**2 + 16*o. What is the second derivative of f(k) wrt k?\nAnswer: -72*k**2 - 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1\/(-7))\/((-9)\/819). What is the third smallest value in 0.4, 3\/2, -2, 2\/7, o?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -3 - 3 + 0 - m. Let h be n(-7). Let u(b) = 8*b**3 - 776*b**2 + 3*b - 287. Let f be u(97). Solve -3*g - 3*d + h = -5, -13 = f*g - 3*d for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -680, -903, -1254, -1721, -2292?\nAnswer: -2955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9 - -2) + (-3 - -34)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-3)\/9)\/1)\/((-178)\/5874)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + 3 + (sqrt(363) + (sqrt(363) - (sqrt(363) - sqrt(363)*2))*1 - sqrt(363) - (sqrt(363)*1 + -2)))*-5)**2*-5 + -1.\nAnswer: -48501 - 13750*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = t**2 + 4*t. Let s be h(-6). Suppose -3*i + 6 = s. Sort 6, 5, i.\nAnswer: i, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 4*l**3 - 7*l**2 + 3*l + 3. Let h(b) = 4*b**3 - 7*b**2 + 2*b + 2. Let m(g) = 3*h(g) - 2*o(g). What is the third derivative of m(n) wrt n?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (124\/248)\/(12\/(-16)*4\/6). Sort -5, 5, -33, n, 2 in decreasing order.\nAnswer: 5, 2, n, -5, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -2*k**3 + 6*k**2 + 54*k + 13. Determine b(-6).\nAnswer: 337","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (101 + 11*h + 29*h - 95)*(h**2 - 4*h**2 + h**2).\nAnswer: -80*h**3 - 12*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -u**3 - 5*u**3 - 9*u**3 + 2*u**3.\nAnswer: -13*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -1976 less than or equal to -1977?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -89 divided by -170529?\nAnswer: 89\/170529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 100 = 5*p, 5*p - 2*p + 62 = -4*m. Let b = -33 - p. Let l be 8\/5 + (-6)\/b. Let f(k) = 2*k**2 + 2*k - 1. Determine f(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (102 + -100)*(-42)\/12\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -14 in 2\/7, -14\/33, 2, -9541?\nAnswer: -14\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 14 - (39 + -18 + -7)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = -0*m - 4*m + 1040, -c = 4. What is the highest common divisor of m and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -673*s - 4 + 3 + 4 - 3 to the form g + d*s and give d.\nAnswer: -673","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 30\/20 + (-4 + 1)\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 48033.53 centuries in decades?\nAnswer: 480335.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 23072*h + 7 - 123*h**3 - 23074*h - 7 + 6*h**2 as b*h**3 + q*h + i + z*h**2 and give b.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = b + 7. Let m be k(-5). Let i be 1*2\/(-18)*-6. Which is smaller: m or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 244279 to the nearest integer?\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + sqrt(34)\/sqrt(2) + (sqrt(17) - (5 + sqrt(17)*5)))**2.\nAnswer: 12*sqrt(17) + 157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 17055 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 3a8 (base 14) in base 16?\nAnswer: 2e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -h**3 + 10*h**2 - 5*h. Let n(m) = 2*m**3 - 19*m**2 + 9*m - 1. Let y = 65 - 60. Let k(i) = y*p(i) + 3*n(i). What is k(7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 4  (b) 1\/76  (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:16 AM and 5:45 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = -12*t + 1. Let y be d(6). Let q = y - -75. Solve 2*v = l - 2, q*v - l + 1 = 3*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 13093, 51330, 114713, 203242, 316917?\nAnswer: 455738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -15 + 25. Calculate the remainder when 2\/4*(7 - -51) is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = -56*l - 165. Let k(x) = 14*x**2 - 2*x. Let w(s) = -15*s**2 + 3*s + 1. Determine l*k(a) - 2*w(a).\nAnswer: -12*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 481 minutes before 7:29 PM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 810720 rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 632*r**2 + 7203*r - 19096063 wrt r?\nAnswer: 1264*r + 7203","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that 3*p**3 + 36633*p**2 - 1182060*p - 82419876 = 0.\nAnswer: -12243, -34, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 87 = 4*c + z, 108*z + 32 = 3*c + 104*z. Solve -8 + c = -6*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -q**2 - 1. Let f(z) = z**2 - 1. Let h(m) = f(m) + 2*j(m). Suppose 19*k - 11*k = -15*k. Calculate h(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -14*((-200)\/(-8))\/25?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 22735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out 28328 * -0.13.\nAnswer: -3682.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 121.4901 millilitres?\nAnswer: 0.1214901","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let s(l) be the second derivative of l**4\/4 - 2*l**3\/3 - 5*l**2\/2 - 7*l. Let k(v) = 5*v**2 - 6*v - 8. Give -5*k(b) + 8*s(b).\nAnswer: -b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -22*z**3 + 28*z**2 - 44*z + 1070. Let l(w) = 66*w**3 - 77*w**2 + 132*w - 3213. Let f(h) = -4*l(h) - 11*u(h). Differentiate f(i) with respect to i.\nAnswer: -66*i**2 - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = d**3 - 12*d**2 - 11*d - 13. Let a = -21 + -3. Let l = a - -37. What is the units digit of i(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 3*p - 5. Give x(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (24 - -5 - 9) + -13.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -x**3 - 45*x**2 + 44. Calculate the remainder when 306 is divided by m(-45).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -40 - 36*((-1)\/3)\/((-56)\/42)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2  (b) 1\/6  (c) 25  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9335?\nAnswer: 5, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -2*z**2 + 8*z + 3. What is t(8)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 18378 and 20089196.\nAnswer: 180802764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/(-12)*((5 - 80\/28) + 9906\/(-4662)).\nAnswer: -1\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -9*m - 52. Let b be g(-5). Calculate the remainder when b - (-357)\/49 - (-878)\/14 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 25 + 2497\/(-99) - (-22)\/(-252)*-5.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (38 - 71 + 31)*(1 - 1 - 2*i) in the form b + l*i and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2510 (base 8) to base 3.\nAnswer: -1212002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2 - -3. Let f = b + 2. Suppose 0 = 5*c - 4*d - 16, -2*c + 5*d + f = -0*d. Solve 2*s + c = 4*j - 16, 2*j + 2*s - 4 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 10468, 10428, 10388?\n\"Answer: -40*l + 10508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 16, -36, -134, -284, -492, -764, -1106?\nAnswer: -1524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ummcmcumumumuumumum. What is prob of picking 1 c and 2 u?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-16))**(-23)*f**17*f*f**(-4\/11))**(1\/12) assuming f is positive.\nAnswer: f**(707\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 273\/(((-76146)\/148)\/(-147))?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 12*k + 12, -3*k = 3*c + 27 - 9 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 40039?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 6 = n, -12*n = -2*o - 11*n - 3. Calculate the least common multiple of o and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35 = -5*s - 2*s. Suppose -5*i - l = 1 - 21, -i = -2*l - 15. Solve -2*f - i = 5*g - 17, -5 = -s*f for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 0.02  (b) -1  (c) 0  (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (0 - 1)\/((-7)\/2). Let s = 101.47 + 2.53. Let v = -104.3 + s. What is the nearest to u in -2\/11, 3, v?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (399952*v - 399952*v + 18*v**2 + 27)*(-19*v - 8*v**2 + 19*v) in the form d + a*v**2 + w*v + q*v**4 + t*v**3 and give a.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:39 PM and 10:23 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of ((-99)\/(-15))\/((-3)\/(-45))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 10 = -42. Is 12 less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + 6 + (7 - (3 + 11))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 98 minutes after 3:39 AM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -1761, -7055, -15877, -28227?\n\"Answer: -1764*m**2 - 2*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -11177\/17780 - -88\/127. Calculate the common denominator of y and 13\/300.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -32067 + -28?\nAnswer: -32091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 23 + -44 + 16 - -29\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 85218 + 12*d - 85218.\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1103*u**2 + 786*u**2 - 350*u**2 - 27*u**2 + 22*u**2.\nAnswer: 1534*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 57510\/(-66)*54\/(-12). Let f = 3924 - c. Find the common denominator of f and -81\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -47\/19  (b) -0.08  (c) -14\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5096 = -112*y + 21*y. Suppose 3*r - r - 336 = 0. What is the greatest common divisor of r and y?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -40 + (15 - -19 - 28) - (-8 + -1).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = j**3 - 11*j**2 - 15*j - 18. Let o(a) = -7*a - 36. Let u be o(-7). What are the prime factors of f(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 30809424 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*n - 17*n - 4*p + 2968 = 0, 5*p = 10. List the prime factors of n.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/(h**(-19)*h))\/h*h**(-15) assuming h is positive.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1183.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -745695822 - -0.025?\nAnswer: -745695821.975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 15314741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that 124*a**4 - 4*a**3 - 496*a**2 + 16*a = 0.\nAnswer: -2, 0, 1\/31, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(32))**2 - (sqrt(2) + 0)*1.\nAnswer: -sqrt(2) + 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20461 is divided by 57?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 2174 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.3, 40, 4\/3, -3\/40, -1\/15?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-491)\/(4910\/(-60))*8*(-1)\/3.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in -2\/7, -1, -5, 1\/2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 17805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i**5\/3 - 38*i**4\/3 - 39*i**3 + 632*i**2\/3 - 476*i\/3 = 0.\nAnswer: -34, -7, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -59 + 135. Is 11 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = -3*d - 2076, 10*d - 3448 = 15*d - n. Let g = d - -1166. Is 34 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0*(6 - 5 - 1\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 3 + 3)*(3 + 0 - 1 + 3 - 3 - 2 - 4 + 3 + 0 + (1 - 1 - 2)*(1 - 4 + 2))*(-3 + 1 + 0)*(10*l**2 - 4*l**3 - 10*l**2).\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*v + 49*v - 19*v + 816 = 51*v for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 352 + -351.94. Let g = -17.7 - -16.7. Which is the biggest value?  (a) -2  (b) x  (c) g  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) be the third derivative of 0 + 0*m**3 + 3*m**2 + 0*m + 1\/12*m**4. Let g(l) = -3*l**2. Give v(g(c)).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*m**3 + 207*m**2 + 1560*m + 2736.\nAnswer: -3*(m - 76)*(m + 3)*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l**3 + 350*l**2 - 1715*l - 336140 = 0. Calculate l.\nAnswer: -49, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - 8) + -7 + 5 + 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 0*r - 132 = -v, 2*r = 4*v - 42. Let w = r + 38. Calculate the greatest common factor of w and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5969033, -2, 4, 1 in decreasing order.\nAnswer: 5969033, 4, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 6819 + -6831. Which is the second biggest value?  (a) y  (b) 5  (c) -0.3  (d) -3\/47\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1320 is divided by 63?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 4051 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4973709?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -125*x + 1110 = -347*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -3*f. Let m(q) = -10*q - 1975. Give l(m(u)).\nAnswer: 30*u + 5925","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 369, 369, 377, 399, 441, 509, 609, 747?\nAnswer: 929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (-5 - -4) + -14*1\/(-18)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (34\/16)\/((-25)\/200).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(11) + 2 + 2))**2.\nAnswer: 288*sqrt(11) + 972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1607*y - 3225*y + 1619*y - 8*y**3.\nAnswer: -8*y**3 + y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that -q**2\/6 - 122759*q\/6 - 20628107\/3 = 0.\nAnswer: -122422, -337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 10\/931 and 12.\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Product of -12 and -60244.\nAnswer: 722928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -5443352 (base 11) to base 10\nAnswer: -9564986","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 480 plus -25331797?\nAnswer: -25331317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3375 is divided by 1683?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 44\/5 and -95\/78434?\nAnswer: 392170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 234 is divided by 22?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + 8 + (15 - 27)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -33, -39, -51, -69, -93, -123, -159?\nAnswer: -201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (29 - (30 + -26 - -56)) + -30?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 12714 by 6928.\nAnswer: 6357\/3464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2 - 1 - (1 - (-20)\/(-9)). Which is greater: i or 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -352*k - 1054 wrt k?\nAnswer: -352","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1 - 1210150?\nAnswer: -1210145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bi when two letters picked without replacement from ebjib.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*t + 12 - 2. Let o(l) = 226*l - 1353. Let j be o(6). Let y(i) = i**2 + i + 5. Let m(v) = v**2 + 2*v + 9. Calculate j*m(r) + t*y(r).\nAnswer: -2*r**2 + r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3133*m**2 - 1601*m**2 - 1536*m**2.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6 - -31. Is b a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2 + -10.4. Let t = 12 + w. Let m be (-1 + -1)\/((-1)\/(-1)). Which is the third smallest value?  (a) -1\/4  (b) t  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 72 divide 28046928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 3*u**2 - 49*u + 52. Calculate m(15).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence isas when four letters picked without replacement from aisdidys?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -7*j - 2 - j**2 + 3*j - 3*j. Let z be x(-6). Suppose -2*h + 10 = 4*g, -4*h = -g + z*g. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1 - 200021112010?\nAnswer: -200021112011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 217459899, 434919801, 652379703, 869839605?\n\"Answer: 217459902*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4632 and 12524?\nAnswer: 14502792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 4 - 216a40?\nAnswer: -216a37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-98)\/(-4)*(-2)\/56*12*4\/(-2)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + 37 = 4*b, 5*b + 4*q = -6 + 1. Let t(l) = 2*l**2 - 1. Is 16 a factor of t(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 17*s**3 - 1042 - 2*s**2 + 1013 + 0*s**3 wrt s?\nAnswer: 51*s**2 - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ysqoasvyvsyavqqqv. Give prob of picking 2 s.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 120*r**2 - 30115*r - 1255.\nAnswer: 5*(r - 251)*(24*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kvvkk. What is prob of sequence vk?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2369437250?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 143324.\nAnswer: 2, 35831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 67209531 is divided by 10261.\nAnswer: 10242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 3 = -4*q. Let o be (1\/(-2))\/(q\/(-1152)). Let n = -79 + 103. Calculate the highest common divisor of o and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = x**5 - 2*x**4 - x - 1. Let o(f) = 35*f**5 - 10*f**4 - 10*f**3 - 100*f**2 - 25*f + 20. Let i(h) = 30*b(h) - o(h). Determine z so that i(z) = 0.\nAnswer: -10, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 22 divided by 6467\nAnswer: 22\/6467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -k + 1. Let t(q) = -3 - 2 - 1 + 5*q. Suppose 0*r - 16 = -4*r, -12 = -4*h - 3*r. Let s be 0 - (-3 + h + 2). What is s*t(o) + 6*y(o)?\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1890 = -90*a - 171*a + 69*a + 15006 for a.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 291548 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -30783 less than 0.1?\nAnswer: 30783.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -10 + 8. Let s(g) = g - 1. Let p(u) = 2*u**3 - 2*u**2 + u + 2. What is q*s(r) - p(r)?\nAnswer: -2*r**3 + 2*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 2 a when three letters picked without replacement from jajjajajajaajajaajja.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 2, g: 3, d: 2, l: 1, q: 3, t: 1}. Give prob of sequence gdl.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 - 26 = 2*o. Is -14 less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 6*s - 5*w = 76, -2*s + 44 = -5*w. Let m = -9 + 12. Suppose -2*q - m*o = -s, 4*q - 2*o = 84 - 20. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.614 - 5.276. Let i = h + -0.11. Let u = -4 - i. What is the second smallest value in 1, 1\/2, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6085 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-63)\/315 + 52\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1, 2\/9, -51\/31, -9, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (-141)\/(-3) + 59 + (-13 - 73)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate a**4 - 20*a**3 + 233*a**2 + 37*a - 762676 with respect to a.\nAnswer: 4*a**3 - 60*a**2 + 466*a + 37","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16028432 = 75*q + 6481417 - 10259360. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -3.321, 0.02, -3, -0.8, -2, -4, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2870256088.\nAnswer: 2, 7, 1163, 44071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 19 = -5*h - 6, 5*b = 3*h - 21. Let y be b\/((-111)\/240 - 4\/(-10)). What is the units digit of 1\/8 - (-3930)\/y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000646126 to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -351*t - 2. Let f(r) = r. What is f(a(z))?\nAnswer: -351*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -4*u - 5. Suppose 54 = 4*x + 3*p - 7, x = 5*p - 2. Let z be (-6)\/2*16\/8. Let k(q) = -9*q - 11. Determine x*a(i) + z*k(i).\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 12\/(24\/(-8)) + 6. Solve -8 = 3*b + n*d - 4, 0 = -5*b - 3*d - 7 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.8 - -0.2. What is the smallest value in -2, -0.4, q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4*(-8)\/288)\/((-16)\/(-216)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the third derivative of r**3\/6 + 159*r**2. Let u(h) = h - 7. Determine -35*b(n) - 5*u(n).\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*y**5 - 14*y**2 + 14*y**2 + (-3*y**3 + 2*y**3 + 0*y**3)*(-2*y - y**2 + 2*y) + (y**2 + 0*y**2 + y**2)*(-2*y**3 - 2*y**3 + 2*y**3).\nAnswer: 2*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 526 minutes after 12:52 PM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**(-8\/5)*f\/f**(-1\/3)*f assuming f is positive.\nAnswer: f**(11\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -8*o**5 - o**3 - 20*o**2 - 2*o - 3204 wrt o?\nAnswer: -160*o**3 - 6*o - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 368 divide 1983568208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) be the second derivative of -a**7\/840 + a**6\/60 - 3*a**5\/40 + 2*a**4\/3 + a. Let i(h) be the third derivative of b(h). Solve i(w) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 0.698224 micrometers?\nAnswer: 0.000698224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.2 + 0. Let u = -46575 + 46574. What is the closest to u in 6, 2\/9, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 20787 + -20715. Let u(s) = 3*s**2 - 2*s - s - 2*s**2 + 0*s**2. Let z be u(-6). Calculate the highest common factor of z and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 152.4 + -173. Let y = f + 21. Which is the second smallest value?  (a) y  (b) -5  (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 95705?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -2 - 2 - (-16 + 7)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 18*u**2 + 1154*u + 131. Determine r(-64).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 4\/12 - 12\/60 - (-3568565)\/75 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 99.4559 rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -5  (b) -1  (c) -2\/3  (d) 0.4  (e) 5  (f) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 41130 and 1434066.\nAnswer: 21510990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 38\/(-19) + (-22)\/(-2) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5 (base 16) to base 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 2*j**3 + 47*j**2 + 194*j - 68. Let q be w(-18). Put 6, q, -2, 8, -1 in descending order.\nAnswer: 8, 6, q, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1112442075 by -3.\nAnswer: 370814025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -4*j**2 + 89*j - 494. Give i(8).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-196)\/(-1960))\/((4\/(-291))\/(20\/498)) and (1 - (-22)\/(-12)) + (-2)\/3.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 45 (base 15) to base 11.\nAnswer: 5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*b - 3*a = -17569 + 17586, -4*b - a = 11 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a = -47 - 613. Let n = -1192\/9 + a. Let j = 0.177 - 0.177. What is the closest to 1 in j, 1\/6, n?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-45)\/42*-4*(-7)\/21.\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7\/(-1274)*-28 + 1694\/(-26).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that -12*p**4 - 68*p**3 - 88*p**2 - 32*p = 0.\nAnswer: -4, -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*k - 8 = 0, 0 = 8*x - 10*x - 3*k - 6 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 2*z - 4. Let p be 2 + 1 + -8 + 2 + -1. Let t(h) be the third derivative of -h**4\/24 + h**3\/2 + 4*h**2. Give p*c(o) - 5*t(o).\nAnswer: -3*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -830 + 829.4. Let f = 0.6 - 0.7. Put w, 3, f in decreasing order.\nAnswer: 3, f, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*((sqrt(132)*2 + sqrt(132))*-4 + sqrt(132)))\/(-2*sqrt(768)*-2).\nAnswer: -11*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 31 - 31.1. Let d = -4 + 0. What is the biggest value in -3, d, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 117723 + 153*f**3 - 117723.\nAnswer: 153*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -83 - -118. Suppose 4*a - 5 = r. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 greater than -37\/169133?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -43\/2092 and -45\/2092?\nAnswer: 2092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 19024*h*o**4 - 9*h*o - o**4 - 1496*o wrt o.\nAnswer: 228288*h*o**2 - 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d**3 + 123*d**2 - 1203*d - 1323 = 0. Calculate d.\nAnswer: -49, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - -4) + 6 + -3 + -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:03 AM and 1:58 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 - 55*i + 139*i - 48*i - 54*i in the form w + d*i and give d.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 minutes after 9:20 AM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = 26*b - 57 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.1  (b) 0.8  (c) -6  (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 20429895?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 28211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -5706*p**2 + 54*p. Let c(n) = 815*n**2 - 8*n. What is -27*c(j) - 4*t(j)?\nAnswer: 819*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-35)\/4)\/((-583)\/44*2). Which is bigger: l or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) be the second derivative of 47*o**4\/6 - 49*o**3\/2 + 289*o. What is the second derivative of p(z) wrt z?\nAnswer: 188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.017 + 0.01188. Round y to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = 2*a - 1015. List the prime factors of a.\nAnswer: 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 30 and 8994408?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k - 38 = 4*j, -43*j + 22*j - 3*k + 31 = -26*j for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 1, w: 1, s: 2, q: 1}. What is prob of sequence qs?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5796*m**2 - 11566*m**2 + 5774*m**2.\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -18, 4, 0 in descending order.\nAnswer: 4, 0, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 3, n: 3, a: 3, s: 8}. What is prob of picking 1 s and 1 a?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by 60\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 3*c - 1. Let a(k) = -k**3 + 3*k**2 - 2*k + 2. Let f be a(2). Let t be b(f). Let i = -54 + 99. Calculate the highest common divisor of i and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (14\/6)\/((-1190)\/510). Let p(t) = -1568*t + 4. Let z(s) = 1568*s - 3. Let n(r) = -6*p(r) - 7*z(r). Is n(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 104728 and 12692?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3 - 1) + (-3 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-34)\/(-51)*1\/(2\/(-6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xy when two letters picked without replacement from yyyyyxyy?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - (-2 + -2)) + -10.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 5 = 4*v. Suppose -2*d + 4*k - 8 = -40, -v*k = 20. Is 8 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4766020 is divided by 45?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -32*u**3 - u**2 - 2*u - 4. Let c be v(-1). Suppose -2*i - 5*r + 52 = 5, -2*i = -r - c. Calculate the lowest common multiple of i and 144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 8456 and 2459086.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -l**2 - 9*l - 9. Let m be o(-7). Let k = -3 + m. Suppose 2*f + 5*q - 59 = -k*f, -3*q - 15 = 0. Is 11 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -260232*q**3 - 24141*q?\nAnswer: -1561392*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 5*p = -l + 25, -5*l - 3*p + 33 = 0. Suppose -l*v + 140 = -4*v. Does 5 divide v\/(-10)*(-50)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = 2*g - 3*p, 3*g - p = -3*p. Solve -4 = -f + g*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((sqrt(242) - sqrt(242)*-1*5)**2 - (sqrt(242) + 1)*-1).\nAnswer: 11*sqrt(2) + 8713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 97\/11293690 and -43\/115.\nAnswer: 11293690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 + 2 - (-25 - -57) - (7 + 3).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 74.325409 to zero dps.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 71\/24956 and 81\/76.\nAnswer: 474164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1*-2*(-1)\/1. What are the prime factors of 26\/2 + -4 + o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 182 + -183.47. Let g = -2.6 - -4. Let o = g + a. Do o and 2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -99484*t**2 - 68702*t.\nAnswer: -198968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (6*sqrt(14)\/sqrt(2)*-2)**2.\nAnswer: 1003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 405, 416, 439, 480, 545, 640?\n\"Answer: v**3 + 4*v + 400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 33 - 41 = 0. Let h(a) = 3*a - 41 + t - 6*a. Calculate the remainder when h(-9) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 219495 and 1183002551.\nAnswer: 1183222046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-9)\/(-6))\/1*3142\/56556?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (-5*(2 + (sqrt(1573) + 1 - sqrt(1573)) - sqrt(1573)))**2 + 0.\nAnswer: -1650*sqrt(13) + 39550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 129.064?  (a) 2  (b) 0.4  (c) 1  (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 4*a**2*g*v + 6515198*a*g*v - 3*g*v - 11*g - 403234 wrt a?\nAnswer: 8*a*g*v + 6515198*g*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-7)\/(-10) - 2\/4. Let f = 12 + -15. Let n = -0.07 - -0.17. What is the third smallest value in f, r, n?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-345)\/(-46))\/(1\/2). What is the greatest common divisor of 30 and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-12)\/8)\/(3\/(-4)). Find u such that -14*u - 5*u**3 + 20*u**s + 8*u - 9*u = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -12*j**3 + 5*j**2 + 3*j + 4. Let w be x(-3). Suppose 0 = -3*h - o - 0*o + 218, -o + w = 5*h. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -686 - -2793\/4. Calculate the common denominator of p and 21\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 2, e: 3}. Give prob of sequence xexe.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -9238835.9 to the nearest one hundred thousand.\nAnswer: -9200000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Calculate 72 divided by 36.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -z**2 + 10*z - 8. Let j(c) = c**2 + 5*c. Let s be j(-6). What is the tens digit of r(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 48 minutes before 5:36 PM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.4, 1, -1.4, -2 in descending order.\nAnswer: 1, 0.4, -1.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.3488 + -0.5488. What is the smallest value in j, -1972, -0.3?\nAnswer: -1972","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d**2 + 12206*d + 474513 = 0. What is d?\nAnswer: -12167, -39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -63*l**2 + 521*l**2 + 561*l**2 - 121*l**2 + 134*l**2 to x + r*l**2 + k*l and give r.\nAnswer: 1032","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 53949 is divided by 210?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vbsssbsryvyybyvbscys. What is prob of picking 1 v and 1 c?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 9*x = 12. Suppose 2*m + 6 = 4*l - x*m, -4*m + 16 = 2*l. Is 19 a factor of 42 - l\/4*-3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -65 divided by 50160?\nAnswer: -13\/10032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 88649320 to the nearest 10000.\nAnswer: 88650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -89273*c + 125. What is q(0)?\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c = 2*w + 711, c + 5*w - 154 = -1. What is the greatest common factor of 26 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -s**4 + 684*s + 3303*s**3 - 3319*s**3 + 2*s**2 - 685*s to the form r*s**4 + a*s + p + v*s**2 + o*s**3 and give o.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 4*l + 1. What is s(6)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 7596760?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/9, -16\/356249, -3?\nAnswer: -16\/356249","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -1243882 and 640753?\nAnswer: 1884635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q - 24 = s, 2*s + 10 = -3*s + 2*q. Let m(o) = 6*o - 5. Let g(z) = -5*z + 4. Let l(v) = -5*g(v) - 4*m(v). Calculate l(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.039494326 rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-11 - -7)*(-10)\/8. Suppose -y*p + 15 = -2*p. Suppose p*o - 5*f = 30, -f + 12 = 2*o + f. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 650*k + 1. Let r be w(-1). Let y be (r\/3)\/((-2)\/1146). Suppose 0 = -5*l - y + 38959. What is l rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = s**2 - 3*s - 27. What is z(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Total of -99789 and -0.127.\nAnswer: -99789.127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) be the second derivative of 0 + 0*c**4 + 0*c**3 + 86*c + 11\/2*c**2 + 17\/2*c**5. Differentiate r(q) wrt q.\nAnswer: 510*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 1431*z**3 - 53*z**2 - 53*z. Let r(m) = -55*m**3 + 2*m**2 + 2*m. What is -53*r(w) - 2*y(w)?\nAnswer: 53*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = 4*o + 3. Let v = 108.4 - 108. Let r = -42 + 38. Which is the biggest value?  (a) o  (b) r  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2 + 0)*(-307 + 20*d - 26*d + 4*d + 11).\nAnswer: 4*d + 592","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = s**3 + s - 2. Let y(m) = 625*m**3 + 3*m - 1395. Let t(b) = 3*o(b) - y(b). Differentiate t(p) wrt p.\nAnswer: -1866*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 1\/1051 and -31\/1727.\nAnswer: 1815077","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1 - b00?\nAnswer: -abb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*z - 1446 = -1440. Let o(p) = -5*p + 6. Let m(j) = j - 1. Give z*o(v) + 6*m(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/5, -4, -59 in ascending order.\nAnswer: -59, -4, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 93221.\nAnswer: 73, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -53281, -53277, -53263, -53233, -53181, -53101, -52987, -52833?\nAnswer: -52633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in 3, -2\/91, 0.53, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 6 + -3. Suppose -2*h = b - i, 4*b - 8 = b - 5*h. Let j(z) = z**3 + z**2 + z + 1. Let o(f) = -10*f**3 - 8*f**2 - 8*f - 8. Give b*o(x) + 8*j(x).\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -9 - -12. Suppose i*a = a + 26. Is a a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -58987, -118517, -178049, -237583, -297119?\n\"Answer: -w**2 - 59527*w + 541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1\/((-4)\/8) + 5\/((-15)\/(-35961))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*l = -11*l + 16. Let o be -6*(60\/9)\/(-5). What is the highest common divisor of l and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*t + t - 15*t - t.\nAnswer: -13*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40*q = -35*q + 3*s - 10, -2*q = 5*s - 23. Is q + -3 + 1084 + -2 - 1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from efpdfffffdef. What is prob of picking 2 d, 1 p, and 1 e?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/11, 2\/11, -1\/8, -37?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -22*d + 9*d + 8*d to v*d + l and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -79*u - 654066 = -31*u + 78*u. Is -5192 at least u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = g**3 + 21*g**2 + 38*g - 6. Calculate o(-19).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 3*p + 11. Let q(u) = 4*u + 11. Let c be (-25)\/(-15)*3 - -1. Let o(g) = c*q(g) - 7*x(g). Let w(s) = s - 4. Determine -3*o(y) + 8*w(y).\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) be the third derivative of 1\/120*o**6 + 1\/24*o**4 + 0 + 1\/30*o**5 + 0*o**3 + 2*o**2 + 0*o. Solve p(a) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10986 less than -2.2?\nAnswer: -10988.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 + 5 - -3 - (1 + 6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*l**2 - 16*l - 12.\nAnswer: -4*(l + 1)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 6.951134 millilitres?\nAnswer: 0.006951134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 380453 or -0.4?\nAnswer: 380453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1827689801.\nAnswer: 7, 12979, 20117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:14 PM and 2:19 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 24 + -14. Let o = -264 - -264. Suppose -x*g + 51 + 129 = o. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -2*m**2 - 183*m + 1597. Let x be d(8). Sort 4, x, -5, 11 in ascending order.\nAnswer: -5, 4, x, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-2)\/4 + 27\/36)*67936\/22. What is the highest common factor of q and 30494?\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k - 469 = 3*o - 453, 0 = 4*k - 4*o for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/(z\/(z*((z**(-1\/30)\/z)\/z)\/z))*z*z)\/z*z**(1\/10) assuming z is positive.\nAnswer: z**(-14\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -2*q**2 + 9*q**2 - 1 + 3 + 2*q**2 - q. Suppose -76*v = -129*v + 71 + 35. What is the smallest common multiple of v and r(2)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -3*1 + 65\/26. Sort -4, 4, b.\nAnswer: -4, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -24*d + 6. Let a(f) = f + 1. Let s(b) = 6*a(b) - m(b). Let u(n) = -n**2. Calculate u(s(h)).\nAnswer: -900*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3576549627?\nAnswer: 3, 7, 18923543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -100, -165, -226, -277, -312?\nAnswer: -325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*x + 3*x + 348654*x**2 - 345442*x**2.\nAnswer: 3212*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 975946388.\nAnswer: 2, 67, 3641591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**2 + 41*h - 86.\nAnswer: (h - 2)*(h + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 57\/2191868 and -137\/1320.\nAnswer: 723316440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) be the first derivative of -v**3\/3 + 2*v**2 + 1. Let h be d(4). Solve 0 = p + 5 - h for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 126979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 5, -0.06, 4, 0, 43?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -5 + 0*h + h + 0. Let m = -11 + 17. Let v be s(m). Solve 2*w + v = -5 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) be the second derivative of -29*c + 3\/5*c**6 + 0*c**5 + 0*c**4 + 0 + 0*c**3 + 16*c**2. Find the first derivative of m(x) wrt x.\nAnswer: 72*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2236 is divided by 782?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.065253401 to 5 dps.\nAnswer: -0.06525","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 21*z - 940. Let n be j(45). Let t(r) = r**3 - r. Let x be t(1). Let d = 4 + x. Solve -n*h - d = -14 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.135203 to two dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.2047596 + -0.2045. What is c rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -28\/3, 1\/4, 0.05, -2, 0.3, 5, -42?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -186*-2.3.\nAnswer: 427.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 7165 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = s**3 + 54*s**2 + 2*s + 118. Let y be w(-54). Solve x - 5*p = y, 15*p - 20*p = 10 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2540181 to the power of 1\/3, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 78 - 49. Sort -1, k, -5.\nAnswer: -5, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 287 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nww. What is prob of sequence wnw?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 9\/14 + 73\/77. Let u = o - 12\/11. What is the nearest to -1 in -2\/3, 2, u?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1435\/106 - 2\/53. Let k(z) be the second derivative of l*z**2 + 0 + 4*z + 3*z**3 + 1\/4*z**4. Determine m so that k(m) = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 676 - 658. What is the lowest common multiple of 30 and a?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 17 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*l - 9162 = 1480. Solve -17*j - 296 + l = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4 + (-1)\/1*2. Suppose 0 = -t + 3*z + 17, -z = -s*t + 2*z + 22. Calculate the greatest common divisor of t and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + c = 0. Solve 2*j + g - 7 = 6, c = 4*j + g - 21 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 4, -1408\/25, 5, -2\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 861.91 * 0.4.\nAnswer: 344.764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -5\/4282416 and 43\/89217.\nAnswer: 4282416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -l**4 + 1036*l**2 - 885*l wrt l?\nAnswer: -12*l**2 + 2072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 42 = 2*i, 2*i = 3*i + 4*q - 31. Let a be (-5 + 2)\/(1 - i). Let j(s) = s**2 - s - 3. Let u be j(-1). Is u != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*u**2 - 51*u**2 - 56*u**2 - 46*u**2 + 38*u**2.\nAnswer: -112*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/(-10)*(-5)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ts when two letters picked without replacement from sysmtyssyy.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 24 + 16. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 735*x**2. Let m(t) = 245*t**2. Let o(b) = -17*b - 61. Let u be o(-3). Let k(l) = u*m(l) + 3*h(l). Let w(i) = -i**2. Give k(w(r)).\nAnswer: -245*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (5 + 3 + sqrt(208)\/sqrt(4))*4.\nAnswer: 27 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -d**3 + 9*d**2 - 7*d - 9. Let y be o(8). What is the units digit of (y + 12\/9)*9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from bbqb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 - 2120*v**2 - 2109*v**2 + 4219*v**2.\nAnswer: -10*v**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 551500151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 220554 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*-6*(-5 + 3*sqrt(3)))**2.\nAnswer: -9720*sqrt(3) + 16848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 320 a factor of 30416023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/(y*y**(-31)*y))\/(y\/y**15)*y**(-6\/13)*y**(-10) assuming y is positive.\nAnswer: y**(436\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2937 + -151. Is 49 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -55 - -97. What is the highest common factor of 28 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t**2 + 24*t + 59. Let f be k(-19). Let l = f - -40. Sort -1, 0, l, -3 in ascending order.\nAnswer: -3, -1, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*i + i + 2*i)*(3 - 1 - 1)*(3 - 7 + 3) + 664715 + 47*i - 664715.\nAnswer: 49*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -33220234 (base 5) in base 11?\nAnswer: -187aa3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = f, 0 = 5*y + f - 1. Let o be y + (-1 - 0)*1. Let q(a) = 3*a + o*a + 2 - 6. Calculate q(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (2 + sqrt(13))*6.\nAnswer: 11 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:18 PM and 7:11 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 5  (b) -5\/4  (c) 6  (d) 4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((1\/5*-1)\/(144\/(-22320)))\/1.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1 + 1. Let o(c) = -c**2 - c + 10. Is o(u) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -53*o**2 - 45. Let k(h) = 80*h**2 + 68. Let n(z) = -5*k(z) - 7*p(z). What is the derivative of n(r) wrt r?\nAnswer: -58*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of (-10)\/(60\/152 + 1\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 11367.9 - 11368. Which is the nearest to n?  (a) 1  (b) -1  (c) 0.1992\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1490459489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*g**2 - 133515*g + 400518.\nAnswer: 3*(g - 44502)*(g - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 10\/8 - (-21)\/28. Solve -4*k + 10 = t*i, -15*k - 5 = -14*k - 2*i for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 7  (b) 1478  (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(4*(-2*sqrt(171) + 2) + (sqrt(171) - (sqrt(171) + 0))*5 + 5).\nAnswer: -120*sqrt(19) + 65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 2351.47126 to the nearest integer.\nAnswer: 2351","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -9943383, -9943384, -9943385, -9943386, -9943387?\n\"Answer: -t - 9943382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -5*i**3 - i**2 - i - 1. What is t(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0022049478 rounded to six dps?\nAnswer: -0.002205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 61417 + -43358. What is the ten thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*k - 2*k + 9*k)*(-2*k**2 - 18*k**3 - 16*k**3 + 13*k**3).\nAnswer: -105*k**4 - 10*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -203*(7942\/133 + -60)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 503922480 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -2*v**3 - 5*v**2 + 2*v + 2. Let q be s(-3). Solve 3*n = -u - 7, -2*n + 5 - 4 = -q*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 234959?\nAnswer: 234959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 6*w + 569. Let n(b) = 16*b + 1712. What is -4*n(t) + 11*y(t)?\nAnswer: 2*t - 589","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 b when two letters picked without replacement from {a: 3, s: 2, m: 9, b: 1, e: 1, n: 2}.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 736, 3145, 7228, 12985, 20416, 29521, 40300?\n\"Answer: 837*f**2 - 102*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -31 or -650\/21?\nAnswer: -650\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 0 * 14\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 658.9308 + 0.0692. Let a = y + -658.9. What is the closest to a in -3\/4, 2, -9?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7795 is divided by 3892?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5 - 6*z**2 + 5 + (3 - z - 3)*(0*z - z + 2*z) + (-3*z + 5*z + z)*(2 + 2*z - 5 + 1).\nAnswer: -z**2 - 6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000355464 to seven decimal places.\nAnswer: -0.0000355","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3 + (1 - 2)*-3. Solve -2*r + 5*r + o = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = l**3 + 6*l**2 - 36*l - 138. What is g(-4)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2567881 - -16.\nAnswer: 2567897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put together 1310.1864226 and 0.054.\nAnswer: 1310.2404226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 13210392089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2459\/13 + 189. Which is smaller: q or -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 272 and 1003?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -2654, -2659, -2674, -2705, -2758?\n\"Answer: -l**3 + l**2 - l - 2653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 94\/10 - (-2)\/(-5). Let x be (-1)\/(-3) + (-12)\/s. What is the lowest common multiple of 1 and x\/(-4) - 23\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 564994458?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -759, -738, -725, -726, -747, -794?\n\"Answer: -y**3 + 2*y**2 + 22*y - 782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -795*d - 41273 - 44345 = -4874*d + 28594 for d.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -28, -43, -68, -109, -172, -263?\n\"Answer: -b**3 + b**2 - 11*b - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000121594083 rounded to five dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*l + 2*l - l**3)*((2 + 2 - 2)*(2*l - l - 2*l) + l - 3*l + 0*l - l + 1 - 1 + 2*l - 5*l + l).\nAnswer: 7*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 873.628 to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 1516, 12039, 40610, 96259, 188016, 324911?\n\"Answer: 1505*t**3 - 6*t**2 + 6*t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (-54 - 1) + (829 - 756)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1 + 0. Let b(i) = 16*i + 10. Let x(l) = -l - 1. Let u(a) = o*b(a) - 6*x(a). Let d(r) = -3*r - 1. Let y = 54 + -52. Calculate y*u(v) - 7*d(v).\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 24340735 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -30 - -798b?\nAnswer: 795b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -537*72390.\nAnswer: -38873430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (5\/(50\/(-20905)))\/((-1)\/(-2)*1). Which is greater: -4182 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 31387 is divided by 341?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 13918257 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -505, -1029, -1579, -2161, -2781?\nAnswer: -3445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2 - 2.2. Let l = 42.2 + -45. Let t = l + j. Which is the second smallest value?  (a) t  (b) 2  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 388 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -437 + 409 + (-15)\/(-1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -73338 + 175009. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h - 2*h = 154. Let s = 117 + h. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -35.2273 to one decimal place.\nAnswer: -35.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 6.68836nm?\nAnswer: 0.00000668836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -341*u - 5*u**2 + 3*u**2 - 4*u**2 + 10*u**2 to the form s*u**2 + j + l*u and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100 - -10111011001010?\nAnswer: 10111011000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 1 + 10*q**2 + 41*q**2.\nAnswer: 51*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 100 (base 2) in base 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/(46\/54)*1554\/13986.\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -131 (base 9) to base 7\nAnswer: -214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7290.3 + -7290. Let a = -0.2 - -0.24. Let t = 0.44 - a. What is the third biggest value in t, z, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -8*y**2 + y. Let l(o) = -6*o - 476099. Give l(m(j)).\nAnswer: 48*j**2 - 6*j - 476099","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2\/9  (b) -11  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 2*r + 459. Let q(z) = -z - 153. What is -3*k(n) - 8*q(n)?\nAnswer: 2*n - 153","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = -d + 2*s - 4, 0 = -3*d + 3*s - 6. Suppose d = -13*v + 8*v - 20. What are the prime factors of 1 + (v - 0) + 45?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) be the second derivative of 13\/6*o**4 + 17*o + 0*o**3 + 0*o**2 + 0 + 3\/4*o**5. What is the third derivative of n(m) wrt m?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 94.99896 weeks in days?\nAnswer: 664.99272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 657 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -f**3 + 2*f**2 + 4*f + 1. Let b be a(3). Suppose -d + b = -0. What is the third derivative of 4*h**d + 2*h**2 - 4*h**4 - h**5 wrt h?\nAnswer: -60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 2 + 0*i**2 - 314*i**3 + 0*i**2 + 1168*i**3.\nAnswer: 854*i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -432 - -864. Is 36 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -28825\/2 - -15064. Let o = 653 - k. What is the second smallest value in -5, o, 7\/8, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 725 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1037721 + -1?\nAnswer: 1037720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2100022021 (base 3) to base 12.\nAnswer: -2285a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t and 2 z when four letters picked without replacement from gxzvt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*n**3 - 3*n**3 + 2*n**3 + (1 + 5 - 4)*(-5 + 2*n**3 + 5) + (3*n - 7*n + 3*n)*(0*n + 0*n - 2*n**2).\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -359\/123 + 106\/41. What is the fourth biggest value in -2\/13, -3\/2, q, -0.3, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1f348e3 - 0?\nAnswer: -1f348e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*sqrt(7)*-2)**2 - ((sqrt(49)\/sqrt(7))**2 + 4)) + 5.\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1111110110001 (base 2) to base 13.\nAnswer: -3901","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**4 + 58*t**3 + 407*t**2 + 350*t.\nAnswer: t*(t + 1)*(t + 7)*(t + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*-3*sqrt(175) + sqrt(175) - sqrt(175)*-2*4)**2.\nAnswer: 77175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*v**3 + 5*v**3 - 2*v**3 + (v - 3*v + v)*(-v**2 + 0*v**2 + 2*v**2) + (-2*v**2 + v**2 + 3*v**2)*(3 - 3 - v).\nAnswer: 5*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 56892 divided by -28446?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-19*t**2 + 16*t**3 - 64*t**3 + 19*t**2)*(-3 - 9*t + 3).\nAnswer: 432*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -4*m - 2*o + 40, 0 = 3*m + 5*o - 35. Let s be 1*200*7300*m. What is s rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-23 + 10 - 18 + (-3 + 6 - 2)*(0 + 2 + 1))*(3 + 2*r - 3).\nAnswer: -56*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*u = 6721*p - 6716*p + 73, -22 = -4*u - 2*p for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 66 at least as big as 66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 462.3 times 19?\nAnswer: 8783.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*m = -60*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*t + t**2 + 7*t - 3*t**2 + 2*t**2 - t**2 + (t + t - 7*t)*(3*t - 4*t - 2*t) to n*t + h*t**2 + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wi when two letters picked without replacement from isiyswwwjszss.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -357128 + 357131. Factor -1\/4*x**z + 1\/4*x**5 + 0 + 0*x + 9\/4*x**4 - 9\/4*x**2.\nAnswer: x**2*(x - 1)*(x + 1)*(x + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 - (-13 - 0) - 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -30 - -27. Is 0.5 equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -97\/1278160 and -21\/2556320.\nAnswer: 2556320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -3\/4, -4, 0.036075, 4\/87 in ascending order.\nAnswer: -4, -3\/4, 0.036075, 4\/87, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33 + 9 = 7*n + 11 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 4, v: 4, a: 1, q: 1}. Give prob of picking 1 s and 2 v.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 195*x**2 + 3 - 194*x**2.\nAnswer: -389*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 495613?\nAnswer: 495613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -41 - -1. Let q = m - -33. What is the remainder when 21 is divided by 2\/q - 132\/(-21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-5\/6))**(-30) assuming z is positive.\nAnswer: z**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -45*q**2 + 2*q**3 + 141*q**2 + 507*q + 645*q.\nAnswer: 2*q*(q + 24)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = p**2 + 10*p + 9. Let b be g(-6). Let c = 26 + b. Suppose -3*t + 12 = -6. What is the remainder when c is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -55*c - 75*c - 1170 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 382 + -330. Let s = -55 + k. Sort -1, s, 5, 0.1 in decreasing order.\nAnswer: 5, 0.1, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 43716 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -70167, -140328, -210489, -280650?\nAnswer: -350811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z - 2*k = 9, -23 + 17 = 2*z + 5*k for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 583 minutes before 10:06 AM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 364971416 to the nearest integer?\nAnswer: 715","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3\/52 + -149\/780. Which is the third biggest value?  (a) 4  (b) -1  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j - 12 = -3*h + 44, -3*h = 3*j - 24. Solve h = -3*p - 0*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 13729?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2607550, -5215097, -7822644, -10430191?\nAnswer: -13037738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3 + 3 - 2)*(-2 + 6 - 2) + 1 + 0 - 3)*(3*o**2 - o**2 - o**2) + (-2 + 4 + 0)*(o**2 + 3 - 3).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -29430 - -29431. Suppose -2*f + 13 = -3. Suppose -65 + f = -c. Calculate the least common multiple of h and c.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 143\/(-121) - 10\/(-55). Is -12\/5 > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u - 3*v - 9 = 0, 0 = 4*u + 5*v + 13 + 2 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 112330003 (base 4) to base 13.\nAnswer: 339c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 + -655 + 638 + 1 + (0 - -11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 6 - -d94?\nAnswer: d9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, v: 3, r: 2, k: 3, p: 1}. What is prob of picking 1 d and 1 p?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*q + c + 30 - 3, -2*c = 2*q - 6 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 29 - 13. Suppose -t - 5*w - 20 = 0, -7*t = -2*t + 2*w + 8. Let h be (t - -5) + (-4)\/2. Solve b = -q - h*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 219137 and 10983.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-19 - 306\/(-9)) + -16.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1033 + 1036. What is the closest to -1\/3 in -0.4, -2\/19, -4, a?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -133*l**5 + 2*l**3 + 355*l**2 + 2?\nAnswer: -7980*l**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 38*b + 837*b + 309*b to the form i*b + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -108*b + 221. Determine j(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -432 by 432.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*d - 732 = -571 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -206, -412, -618?\n\"Answer: -206*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -93*n - 47*n - 2*n = -426. Solve -n*j + 4 = -k - 3, 0 = -5*j + 2*k + 11 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 175 + -288. Let v = 62 + t. Let h = 51.0000226 + v. What is h rounded to six decimal places?\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 19413, 38826, 58239, 77652, 97065?\nAnswer: 116478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by -36\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21575446 is divided by 41732.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -64 (base 11) in base 14?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 23573 - 23484.732. Let l = 88 - a. Let z = l - -0.2680111. What is z rounded to six decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 17 - 17 - 21 + v in the form m*v + l and give l.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-8 + 0\/(-1))*-1. Suppose -2 = -2*r + n. Suppose 5*u - 15 = r*f, -u - 3*u + 3*f + 16 = 0. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 347675467?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(140))\/sqrt(5).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-22 - -27) + 4 + -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - (22 + -8 + -1)) + -5?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*p - 2 + 10. Let z be p\/(-14)*(-3 - -6). Suppose 10 = w - 2*o, o + 0*o = 5*w - 5. Sort z, 0.2, w in descending order.\nAnswer: 0.2, w, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 188150 and 11879010?\nAnswer: 3147937650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2708\/9 + 300. What is the third biggest value in k, -0.3, 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/c**(-1)*c*c*c**(-31))\/((c**(-3\/5)*c*c*c)\/((c**(-42)\/c)\/c)) assuming c is positive.\nAnswer: c**(-367\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 0.6453978g?\nAnswer: 0.0006453978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*m - 2*m - 720. Let t = 364\/3 + m. Let x be 0*(10 - 5)\/(-10). Which is smaller: x or t?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14348316133 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 57857064?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -197\/6  (b) -32  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4845 and 703205?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*r**2 + 2*r**2 + 3*r**2)*(8*r - 3*r - r).\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((22\/4)\/11)\/((-10)\/(-20))*-41.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-36)\/(-21) - 6\/(-21). Suppose g - 2*k = 128 - 124, g - 4*k - 8 = 0. Factor g - 1\/3*r**s + r.\nAnswer: -r*(r - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (3\/(-2))\/((-4)\/8) - 1. Solve -n*h = 4*h - 12 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9191590 is divided by 395?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -265, -1, 123 in increasing order.\nAnswer: -265, -1, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 907063503?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 24*p**3 + p**2 + 80*p + 78. Determine l(-1).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 229 - 233. Sort j, -23, -2 in descending order.\nAnswer: -2, j, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 130176430 is divided by 3994.\nAnswer: 3982","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert -103112221202 (base 4) to base 15.\nAnswer: -6a33db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 5086.2931 days?\nAnswer: 726.6133","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + c = 6*c, 2*c + 3 = i. Suppose 44 = 4*j + 2*w, -i*j + 3*w - w = -64. Suppose 0 = -2*x + j + 142. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*y - y + y)*(1 - 4 + 4).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) be the second derivative of 13*i**8\/56 + i**4\/6 + 13*i. Find the third derivative of f(r) wrt r.\nAnswer: 1560*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3.36 + 11.468\nAnswer: 14.828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 263 divide 159653283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*s - 5*s + 43 = 0. Let z be (-8 - s) + (0 - -2). Let r = z + 22. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1769483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -2*d**3 - d**2 + 7*d - 1. Calculate m(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -16 + -3 + (8 - 1) + -252 + 245.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the first derivative of 19*t**3\/3 + 29*t**2\/2 - 10*t - 33. What is the tens digit of p(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*x - 28 = 7 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = a + 7, 3*f = -3*a - 0*f + 15. Suppose -3*l + 5 = -5*c, -4*l - 1 = -a*l + c. Suppose 0 = n - 3*p + 2*p - 89, l = 2*n - 3*p - 174. Does 31 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2302054?\nAnswer: 2, 317, 3631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 29606 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 11847903 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -55?  (a) 1\/7  (b) -3  (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 1 - 1 + (4 - 5 + 3)*(-1 + 6 + 8))*(30 - 30 + 8*k).\nAnswer: 224*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 292 and 20.\nAnswer: 1460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 11 + 15. Suppose -z - 5*n = -2*z + 26, -z - 2*n + d = 0. Let c be 212\/z + 1\/(-26)*4. Solve 5*w = 4*t - 2*t - 24, w - 2*t = -c for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -178 + 5543.66\nAnswer: 5365.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the second derivative of 18 + 0*m**3 - 7\/20*m**5 - 4\/3*m**4 + 0*m**2 - 3*m. Find the third derivative of q(f) wrt f.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*a**2*t**2 - a**2 + 7*a*t - 14*t**5 - 2*t**3 wrt t.\nAnswer: 4*a**2 - 280*t**3 - 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 11423148 to the nearest integer?\nAnswer: 3380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 1388049.8 + 22349\nAnswer: 1410398.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 77308 and 11044.\nAnswer: 77308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) be the third derivative of -a**7\/420 + a**6\/180 - a**5\/120 - a**4\/24 + 4*a**3\/3 + 31*a**2. Let m(s) be the first derivative of c(s). Give m(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from llpylslylysssl. Give prob of picking 2 y, 1 l, and 1 p.\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 5*b - 30 = 0, -2*v - 2*b + 2 = -14. What is the remainder when 9 is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 2*m**2 - 540*m + 3684. What is t(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p = -5*s - 9, 0 = -21*p + 23*p + 5*s + 1 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 309 minutes before 5:21 AM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -18915, -75816, -170711, -303606, -474507, -683420, -930351?\n\"Answer: -o**3 - 18991*o**2 + 79*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.035851097 - 91.905895097. Let c = u + 91.61. Let j = -0.26 - c. Round j to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 55 divide -1*11*(4 + (-299)\/1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = 2*j + 3*z, 5*j + 2*z = z + 5. Suppose j*d + 236 = 6*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -l**4 + 18*l**3 + 28 - 2*l**2 + 36 - 64 - 4*l**2 - 6*l to v*l**2 + g + m*l**3 + i*l + z*l**4 and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*(m**4\/m)\/m)\/m*m*m\/m**4*(m*m**(1\/4)*m)**(13\/8) assuming m is positive.\nAnswer: m**(117\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.3 - 0.1. Let n(w) = w + 5. Let s be n(-3). Let p = 0.3 - 0.2. Which is the nearest to p?  (a) s  (b) i  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -2*u**3 - u**2 - u - 1. Let n(f) = 320*f**3 - 12*f**2 - 12*f - 12. Calculate -12*i(o) + n(o).\nAnswer: 344*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) be the first derivative of t**7\/420 + t**6\/60 - t**4\/3 - 4*t**3\/3 - 7*t**2\/2 - 48. Let f(y) be the second derivative of h(y). Solve f(a) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.803365 hours to days.\nAnswer: 0.116806875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 - 1)*(-o + 5*o - 2*o) + (2*o - o - 2*o)*(130 + 134 - 256).\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 88714109947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k - 2687*d = -2684*d + 7, 16 = -4*k - 3*d for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-26 - (594\/153 - 4\/(-34))) + 0\/6.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Expand ((-19*t + 24 - 24)*(0 + 0 + 2) - 21*t + 19*t - 2 + 19*t + (5 - 3 + 0)*(3*t + 0*t - 4*t))*(-2*t**3 + 1 - 1).\nAnswer: 46*t**4 + 4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 417*a = 394*a + 6440. Is 282 at most as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 86380 is divided by 185?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (33 + -28)\/(1 - 0 - 0). Solve -a + 5*x - r = 0, -4*x - 1 = 4*a - 5*x for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -504*y - 645. What is the remainder when a(-4) is divided by 43?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:53 AM and 12:27 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -k**2 + 11*k + 34. Suppose 3*b + 5 = u + 1, -2*u + 38 = 4*b. Determine f(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m - 5*m - 414 = 0. Let c = m + 52. Calculate the greatest common factor of 66 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*f + 1089099 = 1089237 for f.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 247 = -4*w + 2*t, 3*w + 5*t = 212. Let c = w + -79. Let k be (-8 - -4 - -4) + c\/(-1). Solve 3*m - 1 - 14 = k, -4*q - 6 = -2*m for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6520 is divided by 22.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01581465 rounded to 3 dps?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -106.7 + 95. Let y = j + 1.7. Let g = y + 11. Which is the second smallest value?  (a) g  (b) -1\/4  (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.93236 rounded to two decimal places?\nAnswer: -3.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-2\/15)\/(f**(-16)*f))**(-45\/4))**(-5\/17) assuming f is positive.\nAnswer: f**(3345\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 391 minutes after 12:20 PM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 405693402 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -62 = 3*y + 5*h, -3*h = 2*y + 12 + 29. Let z = y + 23. Solve -2*f + 1 = -5*n, -3 = -2*f + z*n - n for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18\/(2\/2)*(-63)\/189?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of -3*6\/36 + (-181)\/(-2) and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7b9340 (base 13) to base 7.\nAnswer: -33635431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 4*i - 5*i - 20 = 0, -n + 4*i = 11. Let f(j) = -232*j**3 + 9*j**2 + 2*j - 3. Let w be f(n). Round w to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2805*l - 8361 + 8361)*(0 + 0 + 1) to the form q + g*l and give g.\nAnswer: -2805","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sxv when three letters picked without replacement from xxvxsxxxj.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 take away -1052788.44702?\nAnswer: 1052786.44702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4696 is divided by (-2)\/(44\/40 + 36\/(-60)) - -15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5335324?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 15 and 396.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -g - 8*w - 4 - 34 = -4*g - 82, -2*g + 21*w - 92 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -48*i**2 + 198 wrt i.\nAnswer: -96*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.1*0.6.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1936*o**4*q**3 + o*q**3 + 9*o*q - 311*o wrt o.\nAnswer: -23232*o**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.439 + -0.06?\nAnswer: 4.379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 391\/3 - 132. Let t = -2.5 - -2. Let u = -0.7 + -0.3. Sort d, u, t in descending order.\nAnswer: t, u, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 35733 divided by 10\nAnswer: 35733\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - m**3 - 3)*(-509 - 1794 - 626).\nAnswer: 2929*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -184 (base 15) in base 12?\nAnswer: -251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 422633874 and 23010?\nAnswer: 4602","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1146  (b) 124\/5  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 170*u - 788. What is x(5)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 5*c**3 - 11*c**2 + 6*c + 2. Let m(z) = -z**3 + z**2 - z - 1. Let o(q) = -a(q) - 6*m(q). What is the units digit of o(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -26 - -20. Let c be 2 - 2 - (-4)\/u. Let i = -165\/2 + 1173\/14. Are c and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -479 (base 15) in base 16?\nAnswer: -3f6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(704) + 2*sqrt(704))*4 + -2 + sqrt(704) + -4 - (4*4*sqrt(704) - -4*-2*sqrt(704)))**2.\nAnswer: -480*sqrt(11) + 17636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 2, p: 13, u: 2, z: 2, q: 1}. Give prob of picking 2 p.\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -2*r**2 + 34*r - 392. What is c(10)?\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 18, 35, 57635 in descending order.\nAnswer: 57635, 35, 18, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 824 - 819. Let x = -19.4 + 18. What is the third smallest value in x, o, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-3 + 1 + 4)*(3*v - 13 + 13) - 2*v - 4*v + 5*v)*(5*v - 5*v + 2*v)*(v - 2*v + 0*v) to w + j*v**3 + d*v**2 + c*v and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -49*s - 1424. What is d(99)?\nAnswer: -6275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ymasuasyymlsm. Give prob of sequence ysm.\nAnswer: 9\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1527555105 to the power of 1\/2, to the nearest integer?\nAnswer: 39084","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 101111101100111 (base 2) in base 4?\nAnswer: 11331213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q**15*q\/(q*(q\/((q**(-2\/63)\/q)\/q)*q*q)\/q))\/(q**(5\/12)\/q*q**(12\/13)) assuming q is positive.\nAnswer: q**(38095\/3276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*w**4 + 2340*w**3 - 512544*w**2 + 49812224*w - 1812092928.\nAnswer: -4*(w - 152)**3*(w - 129)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 120, -3, -0.5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 693?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -79 - 41 = -4*s. Let d = 42 - s. What is the remainder when 58 is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l*l**(1\/3))**44\/(l**(1\/2)\/l)**(-1\/18))**(-10\/7))**13 assuming l is positive.\nAnswer: l**(-137215\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(363) - -5*(1 + sqrt(3))) + (-1 + sqrt(972)\/sqrt(9))**2.\nAnswer: 4*sqrt(3) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 4*f = -10. Let r be (20\/6 + -6)\/(f\/3). Suppose -7 = -t - 3*w, 3*t + 4*w = r + 12. What is the lowest common multiple of 10 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35903 - 1397 = -60*h - 313*h. Solve h*j - 56 = 107*j for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 4a9 + -140?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 676 is divided by 221.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -451611 (base 7) to base 16\nAnswer: -13806","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 8053978 and 90.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(5\/6)*a*a**(-12)\/a*(a**(-7))**(3\/10) assuming a is positive.\nAnswer: a**(-199\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 224 a factor of 731158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 9\/42424 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*h**5\/7 - 122*h**4\/7 + 2186*h**3\/7 - 1434*h**2 + 13572*h\/7 = 0.\nAnswer: 0, 3, 26, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -31d87 (base 15) in base 5?\nAnswer: -20031202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) be the third derivative of -2*m**2 + 0*m + 1\/360*m**6 - 1\/6*m**3 - 1\/30*m**5 + 0 + 1\/8*m**4. Let y(c) be the first derivative of i(c). Calculate y(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 56*f**2 - 56*f. Let z be t(1). Put z, 45, 2 in descending order.\nAnswer: 45, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1991568769?\nAnswer: 67, 1489, 19963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -15410 + 15?\nAnswer: -15362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 12510.74 millennia?\nAnswer: 1251074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5 - 3 + 0)*(0 + p + 0) to m + w*p and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -18, -31, -60, -111, -190, -303?\n\"Answer: -c**3 - 2*c**2 - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -l + 14. Let j = -29 - -38. Let a be i(j). Let y(c) = -c + 10. Calculate y(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -5*y**2 + 2*y + 41. Let z(o) = -3*o**2 + o + 20. Let j(b) = 2*f(b) - 5*z(b). Is 34 a factor of j(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*d + 41 = -50. Suppose 45 = -3*u - 5*w, 0*w + w + 53 = -5*u. Let h = d + u. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-27)\/432*44*((14 - 1) + -1)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100011100010101101 + -10?\nAnswer: -100011100010101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) be the third derivative of -5*n**4\/24 + 70*n**3\/3 + 5*n**2 - 2. Let l be d(-8). What is the greatest common divisor of 72 and l?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*r - i - 4*i - 119, 3*i + 144 = 4*r. Let x = -36 + r. Let u(d) = -d**2 - 6*d - 2. Calculate u(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fw when two letters picked without replacement from {f: 11, w: 1, n: 5}?\nAnswer: 11\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -24, -23, -22, -21?\n\"Answer: t - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 320 by -4.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 25524 (base 6) to base 10\nAnswer: 3868","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -97\/108 and 142\/9*(-177)\/472?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 53824332 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: Which is the nearest to -4?  (a) -5  (b) -2\/3  (c) 3.86  (d) -57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 16 + 1. Let x = 21 - j. Is x equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x + 39 = -69*i + 321, x - i - 16 = x + x for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -59 + 63. Solve -5*h = -3*q - 10, h - n = -h + q for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -4486 greater than 4725?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(-1\/3)*r*r**8*r assuming r is positive.\nAnswer: r**(29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6795161 is divided by 8802.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3\/(-1 + 5\/2). Let d be (-247)\/(-7) + v\/(-7). Calculate the greatest common divisor of d and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m + 7 = -3*n, -2*m + 10 = -8243*n + 8238*n for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2 and 8488513?\nAnswer: 16977026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + -3 + -3 + sqrt(800) + -5)*4.\nAnswer: -52 + 80*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 410 and 230?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 168 is divided by 82?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sum -1183 and -11.4.\nAnswer: -1194.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 75 - 47. Let c = 44 - p. Is 8 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (33\/(420420\/(-104)))\/((-4)\/(-260))*14\/(-4).\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-13)\/(91\/(-28)) + 1 + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 59\/50 and 13\/53485.\nAnswer: 534850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z*z**(-2\/15))\/(z*z**(-3\/2)*z))**32)**(-9) assuming z is positive.\nAnswer: z**(-528\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -a**3 - 153*a**2 - 189*a - 5767. What is j(-152)?\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -181.4 and -21497.\nAnswer: 3899555.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 3017*m*q**3 + 212*m*q**2 - 10*m - 43446 wrt q?\nAnswer: 9051*m*q**2 + 424*m*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -5*n**3 + 6*n**3 + 7*n + 2 - 5*n**2 - 3*n**2. Let p be o(7). What is the lowest common multiple of ((-16)\/(-32))\/(p\/44) and 13?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.07354962 take away 1565?\nAnswer: -1564.92645038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:09 AM and 3:48 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (2*(2 + -3))\/(-2). Suppose -4*z - 330 = z. Let t be (-98)\/z + (-6)\/(-33). Is t <= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1762*y**4 + 2*y**3 - 6*y + 1483?\nAnswer: 21144*y**2 + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -5, 5, 0.4 in descending order.\nAnswer: 5, 0.4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-25668)\/(-16) - -4 - 3)*4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 241977 and 6873?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1 - 12?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 154, 149, 134, 103, 50, -31, -146?\n\"Answer: -k**3 + k**2 - k + 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4*1707.\nAnswer: 6828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in 2\/3, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -66 - 37 + 137 - 34 + 1135*f as z*f + o and give z.\nAnswer: 1135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = m**3 - 4*m**2 - m + 4. Let c be k(4). Suppose c = -5*n + 150 + 335. List the prime factors of n.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 135 minutes before 4:27 PM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -47 = 3*o - 284. Suppose u = 2*u - o. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 8 - (-1 - (-6 - -1)). Suppose -2*i - 2*o + 65 = 13, 0 = -s*o + 16. Suppose -v + i = 1. Does 18 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = 3*c - 42. Let q = -15 + c. Suppose -2*l - 3*b = -17, -l - q*b + 18 - 2 = 0. Is 1 less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 18, -9, -56, -5, -179.\nAnswer: -179, -56, -9, -5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -k + 9. Let p be n(8). Suppose 2*f = -3 - p. Let l be (-3)\/(f - 4)*8. What is the closest to -2\/9 in l, 0.5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 68\/9 + -245\/36. Let m = 0.2 - -0.8. Let g = m - 1. What is the closest to g in 0.1, x, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-4)*k)\/(k*k**(-6)*k)*k**(-2\/5)*k*k*k**(4\/3))**43 assuming k is positive.\nAnswer: k**(2537\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 0 - 21202313131?\nAnswer: -21202313131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that -8\/5*c - 2\/15*c**4 - 8\/15*c**2 + 14\/15*c**3 + 0 = 0.\nAnswer: -1, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 38 and 43567?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -b81127 + 3?\nAnswer: -b81124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -2*c - 9. Let r be p(-8). Let m = -4 + r. Suppose m*k + 4*b - 2*b = 127, 97 = 3*k - 4*b. What is the remainder when k is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -283721 (base 9) to base 6\nAnswer: -3414331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from nnnnnnunuuunun.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.3 in -0.3, 0, 2\/3, 1137, 0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 3 - 5)*(-m**4 + 2*m**4 + m**4).\nAnswer: -14*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4 - -13. What is the remainder when 2\/(-1) - (p - 88) is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 635 = -2*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = 11*a - 12*a + 2*r, -5*r = a + 2 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 1, u: 1, b: 1}. Give prob of sequence bk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8874?\nAnswer: 2, 3, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-26 - 14 - 7)*(-8 + 8 + 7*j**2).\nAnswer: -329*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 31005 is divided by 165.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/156)\/((-211)\/(-17724))?\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -301\/2  (b) -4\/29  (c) -4  (d) 25\/2  (e) -0.4  (f) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5280 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 29.027 - 0.027. Let m = -23 + c. Let x = m + -6.3. Which is smaller: 7 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 32 = -12. Let s(o) = 51 + 5*o - 5 - w*o + 11. What is the units digit of s(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 73471*m. Let d(o) = 3*o**2. Calculate d(j(r)).\nAnswer: 16193963523*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 15, -1, -41, -117, -241, -425?\n\"Answer: -2*l**3 - 2*l + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 5*(4 - (-52)\/(-10)). Let f = w + 35. What are the prime factors of f?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 85081 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*p = 23*p - 444. Calculate the smallest common multiple of 8 and p.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -138 - -136. Let u be ((-903)\/28)\/(t\/8). Let d = u - 123. Let x(p) = p**2 - 3*p - 4. Calculate x(d).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 894*z**2 + 1 - 1.\nAnswer: -894*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 53126663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 2*w**2 + 61*w - 27. What is the units digit of m(-32)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a = v + 24, 2*v = 8*v - 2*a + 16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 147 - 227 = 10*z for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 7.041281 milliseconds?\nAnswer: 7041.281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + n = 0. Suppose 5*a = 5, n = 6*x - x - 4*a - 21. Let m(g) = -g + 1. Let y be m(2). Put x, y, 1 in descending order.\nAnswer: x, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -9826 - -9825.7. Which is the nearest to -1?  (a) 1  (b) y  (c) -38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 1, p: 4, c: 5, f: 3}. Give prob of picking 1 c, 1 p, and 1 o.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 146170222 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 829, 554, 277, -2, -283, -566?\n\"Answer: -i**2 - 272*i + 1102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 22 (base 3) to base 16\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 12023212 + -1?\nAnswer: 12023211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -10844170*c**3 + 7643326*c**2?\nAnswer: -65065020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -2*c**3 + 10*c**2 + 10*c - 441. Let n(l) = 2*l**3 - 12*l**2 - 12*l + 443. Determine -5*n(i) - 6*q(i).\nAnswer: 2*i**3 + 431","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = -0*y + 40. Let b(q) = -7 + 3 - 10*q + y. Let m(g) = -2*g + 1. Suppose -2*k + z + 27 = 0, 2*k + 2*z + 26 = 4*k. Determine k*m(c) - 3*b(c).\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m, 1 q, and 1 g when three letters picked without replacement from gahgqmd.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 283*b + 13. Let t be d(3). Suppose 38 = 15*i - t. Calculate the highest common factor of 24 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -1\/5 and -121712\/1651 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23044 = 4*l - 4*g - 19884, -32206 = -3*l + 5*g. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-71 - -70) + 0 + 1 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -7 - -4. Let v = 0 - l. Let o = 733\/25 + -147\/5. Which is the second biggest value?  (a) v  (b) -4  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = 7*i + 4. Suppose 3*b - b = 2*f + 26, 0 = 2*b + i*f - 30. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = v**2 + 6*v + 11. Let j be m(-4). Suppose -j*y + 246 = -z, -z = 4*y - 5*z - 328. What are the prime factors of y?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2 + 1. Let d(v) = 923 + v**2 - 235 - 227 - 227 - 232. Give d(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) be the second derivative of -a**4\/12 - 4*a**3\/3 + a**2 - a. Let p be -4*1 + -2*1. Is b(p) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = z**2 - 10*z + 17. Let f be k(6). Let l(h) = h + 15. Let c be l(f). Calculate the highest common divisor of c and 296.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 200252, 394530, 588818, 783122, 977448, 1171802, 1366190?\n\"Answer: m**3 - m**2 + 194274*m + 5978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) be the third derivative of p**5\/60 + 5*p**4\/24 + p**3\/6 + 55*p**2 + 1. What is q(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -20 - -32. Suppose -2 + h = 5*l. Let y(z) = 130*z - 130*z + 2*z**l. Let c(a) = 8*a. Give c(y(x)).\nAnswer: 16*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -164*y - 14011. Let v(i) = 57*i + 4671. Give 8*u(s) + 23*v(s).\nAnswer: -s - 4655","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(2))**2*4 + sqrt(8)\/sqrt(4)*-2.\nAnswer: -2*sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -1 - 4*m - 11 + 0 + 3*m. Let b be s(-17). Suppose 180 = b*r - r. Is r a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-1220)\/(-28) - 16\/28.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 169*z - 4488 = -77*z - 32*z + 74*z for z.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 42237 is divided by 35.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -126*q. Let g(u) = -8784*u + 1. Calculate g(d(m)).\nAnswer: 1106784*m + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -x**2 + 45*x + 160. Let k be m(48). Solve k*a - 60 = a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.31 - 11.51. Let c = n + 2.2. Let y = c + 9.1. What is the third biggest value in -4, -2, y?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7, 11, 29, 47?\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 2*u + 24. Let z = 37 - 48. Let w be q(z). Solve -w = -2*t + 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 904 a factor of 44296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.149484m in kilometers?\nAnswer: 0.000149484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -123*p + 5 + 237*p - 5 + (-2 + 3 + 0)*(1 + 2*p - 1) + 1 + 2*p - 1 - 4*p - 3*p + 6*p - 2*p - 2*p + 3*p.\nAnswer: 116*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hc when two letters picked without replacement from vclhvlmmcvcmmllv?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 776.9205 decades?\nAnswer: 93230.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1)\/(-2)*((-224)\/(-7) - 30) - -3. Suppose 243 = 3*t - 189. Calculate the greatest common factor of t and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23 - 14*n + 18*n + 25 + 25*n - 5.\nAnswer: 29*n - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) be the first derivative of 2*y**5\/5 - 2*y**3\/3 - 3. What is the third derivative of d(r) wrt r?\nAnswer: 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 1060*h + 250 - 531*h - 533*h as t*h + p and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i = -0*i + 3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w**4\/2 + 99*w**3\/2 + 318*w**2 + 450*w = 0. What is w?\nAnswer: -25, -6, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 9, j: 2}. What is prob of picking 2 j?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*z**3\/9 + 5198*z**2\/3 - 3466*z + 15598\/9.\nAnswer: 2*(z - 1)**2*(z + 7799)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 42 and 10948?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-28)\/46*(-1337910)\/13573.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -53810\/3 + 17602. Let r = 336 + k. Determine y, given that 4\/3*y**4 - 4\/3*y**2 + 0*y - r*y**3 + 4\/3*y**5 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is (-5)\/(-4)*-40*7\/4900?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = -l - 2. Let n(f) = 3*f**2 - 1. What is the units digit of n(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ckabr. What is prob of sequence kacr?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2\/35  (b) -80  (c) -2  (d) -97\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -4\/9  (b) 5852  (c) -265\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1895185063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 428 - 435 - (10 - 147).\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -34035 - -34074 - (1 - -1 - (1 - 1) - 8).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 2 + 1)*(-11*v - 20*v - 11*v).\nAnswer: -168*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j + 0*j = -j - 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by -14.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 809.770756 to the nearest ten.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 107 = 47. Suppose -8*m = -5*m - w. Solve 6*j = -1 - m for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = q**2 + 12*q + 17. Suppose -15 + 27 = 6*k. Let i(d) = 5*d**2 + 48*d + 67. Let n(m) = k*i(m) - 9*l(m). Determine n(14).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 3 = 0, -2*u + 1051 + 1728 = -3*v. Calculate the lowest common multiple of u and 8.\nAnswer: 11080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 14574?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -240 plus -26314.652?\nAnswer: -26554.652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1830 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.01324713274 to four decimal places.\nAnswer: 0.0132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*d - 167*d - 1628 = 0 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 31*b - 5. Let m be z(-2). Let l = 56 + m. Let p be 0 + 0 - (l - -7). Solve -2*o = -3*o - p for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 - ((6 + -6 - -1) + -1) - (30 - 39)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 58 divided by -577848?\nAnswer: -29\/288924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 68780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1362*o - 1412*o = -450 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1479854 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 2 + (-1*sqrt(704) + sqrt(704))**2 + (-2 + -2*sqrt(704) + sqrt(704) + sqrt(704) + sqrt(704) - sqrt(704) - sqrt(704))**2.\nAnswer: 32*sqrt(11) + 710","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 340*z = 378*z - 72 - 80. Let g be (18\/(-24))\/(21\/(-8)). Let i = -43\/3 - -15. Which is the biggest value?  (a) i  (b) g  (c) -0.1  (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4*-8088461.\nAnswer: 32353844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) be the first derivative of 13*a**5\/5 - 6*a + 3. Differentiate m(n) wrt n.\nAnswer: 52*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-40)\/(-8))\/(280\/(-192)*-18))\/(-4)?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 727399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 201220001020210 + 110?\nAnswer: 201220001021020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/11?  (a) 5  (b) 20  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15152645.\nAnswer: 5, 29, 31, 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 4535003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1987?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*g + 4*k - 191, -61 = -0*g + g - 2*k. Let a = g + 60. Let h = 11 + a. Solve -2*l - 5*m = -15, 4*l - h*m - 21 = -3*m for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 9, j: 9}. Give prob of sequence jii.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -44*r**2 - 468*r - 3016. Let j(z) = 5*z**2 + 52*z + 335. Let o(c) = -52*j(c) - 6*q(c). Determine d so that o(d) = 0.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 2 r when three letters picked without replacement from {z: 1, k: 1, r: 2, d: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (12\/(-3))\/((-40)\/(-60))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = 4*y - 5*y + 9, 4*y - 3*f - 81 = 0. Calculate the remainder when 46 is divided by y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3455 + 55916 = 1809*f for f.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) be the second derivative of 1\/3*m**3 + 2*m**2 + 0 + m. Calculate l(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -13263, -3, 3, -1, -57 in decreasing order.\nAnswer: 3, -1, -3, -57, -13263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5\/9 in 4, -4\/7, -5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 19504905041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1334 + 3126?\nAnswer: 1462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 12 = -t, 0*m - 4*t = -4*m + 16. Factor -5*x**4 + 10*x**3 - 8*x + m*x**2 - x**4 + 0*x**4.\nAnswer: -2*x*(x - 2)*(x + 1)*(3*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 559660414 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 68553?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = a**3 + 12*a**2 + 10*a - 12. Let r be v(-11). Let s(x) = -x + 62. Let h be s(0). Let f be h\/30 - 4\/10. Put r, 0.4, f in descending order.\nAnswer: f, 0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l = 5*y - l - 86, 38 = 3*y - 4*l. Suppose 414*h - 408*h = y. Solve h*d - 28 = -d - 4*r, 5*r = 2*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 442559 < 442636?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -2*p + 6*p. Sort -2, 4, p in increasing order.\nAnswer: -2, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -l + 4. Suppose -7*g = -4 - 31. Let f be h(g). Let u(o) = -12 + 12 + 13*o. Give u(f).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 3\/50 of a gram?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in fourty-nine sixths of a hour?\nAnswer: 29400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*l**3 + 49*l + 21*l + 73*l**4 - 59*l**4 - 52*l**4 wrt l.\nAnswer: -456*l**2 - 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/63)\/((-61)\/427)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 40905 + 4*s + s**2 - 40930 - 6*s + 2*s**2 - 2*s**2 - s**2 + (2 - 2 - 2*s)*(2*s + 2*s - 3*s) in the form x*s + y + c*s**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -0.0896+0.04435\nAnswer: -0.04525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -6*k*t**3*z + k*t**2*z**2 - 10*t**3*z - t*z**2 - z wrt k.\nAnswer: -6*t**3*z + t**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 5*m + 39 = 5*k, k = 5*m + 9. Let v = -229 + 337. What is the second derivative of -1 - 127*p - k*p**5 + v*p + 1 wrt p?\nAnswer: -480*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -15.58 - -15. Let i = 0.22 - p. What is the smallest value in -5, i, 0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -27319*x. Let i(y) = 2*y. What is j(i(u))?\nAnswer: -54638*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 7315.985 decades?\nAnswer: 877918.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) be the first derivative of 7*k**3\/27 - 13*k**2\/2 - 34*k\/9 - 216. Suppose b(o) = 0. Calculate o.\nAnswer: -2\/7, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 6, m: 11, z: 1}. What is prob of picking 2 h?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hl when two letters picked without replacement from {l: 6, f: 4, p: 1, q: 1, h: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 353*d - 3321 - 5624 + 8945.\nAnswer: 353*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -5*b - 1320. Give s(42).\nAnswer: -1530","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -9, 4, 0.4, 2\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the second derivative of s**6\/105 - s**5\/35 - 2*s**4\/7 + 40*s**3\/21 - 32*s**2\/7 + 2958*s. Determine h so that g(h) = 0.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -2*j + 110. Let h(k) = -k**2 + k - 149. What is h(z(g))?\nAnswer: -4*g**2 + 438*g - 12139","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*o - 6*o + 9. Let x = -1 + o. Suppose -108 = 191*m - 227*m. Solve 3*s + 0*s + 3 = -x*b, 0 = s + m for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -292, -230, -54, 296, 880?\n\"Answer: 10*a**3 - 3*a**2 + a - 300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 30073451 to the power of 1\/3, to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -0.5*0.136\nAnswer: -0.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 605 minutes before 5:39 AM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) be the first derivative of -d**2 - 7*d + 1. Let k(m) = 1560*m + 1561*m + 2 + 1 - 3120*m. Let c(z) = -6*z - 1. Let y be c(1). Give y*k(t) - 3*i(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -i**2 - 8*i + 24. Let b be n(-10). Solve -2\/3*h**3 - b*h**2 - 16\/3 - 8*h = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 437 divide 8557542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 times -600?\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 919*y**2 + 212*y + 64. List the prime factors of i(-8).\nAnswer: 2, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-57)\/(-51))\/(-1) + 1. Suppose 0 = 2*i + 10, 0 = 3*l + i + i - 2. Sort u, 3\/4, l in decreasing order.\nAnswer: l, 3\/4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + j + 0 + (3 - 3 + j)*(6 - 3 - 1) + 2 - 2 + 2*j)*(397*j - 741*j - 297*j) to the form u + o*j + v*j**2 and give v.\nAnswer: -3205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -62507 (base 16) to base 2\nAnswer: -1100010010100000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n - 66 = 20*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 479*m - 487. What is the thousands digit of d(13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 12 - 7. Suppose 5*h = d - 54, d + 34 = 2*d + m*h. Calculate the highest common factor of d and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-5)\/300*4)\/(2\/(-12)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -0.04  (b) 43\/5  (c) -1\/4  (d) -19  (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23454*s + 2 = 5*l - 23452*s, l - 3*s = -20 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + -10 + 2 + (-7 - -6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -4*s - 3. Let w be ((-5)\/2)\/(10\/20). Determine x(w).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.004 - 0.029. Let c = m - -0.024936. What is c rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 310 and 2462190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - 1) + (9 + (5 - 13) - -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 94 - (4 + -5 + 5). Suppose -913*l = -926*l + 5070. What is the greatest common divisor of i and l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yyexyxgxyxyyxyey. What is prob of picking 1 g and 2 e?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 13 - 8. Let r = -1831\/32 - -12881\/224. Let v = -1 + 3. What is the nearest to r in h, 2\/5, v?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-15077*f + 15114*f + 77*f**3 + 96*f**3)*(1 + 2 - 5).\nAnswer: -346*f**3 - 74*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) be the third derivative of i**6\/60 - 7*i**5\/30 + i**4\/2 - 75*i**2. What is t in w(t) = 0?\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -10.5 in 2, -5\/4, -4, -3\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w = -4*n - 48, -3*w - 4*n = -0*n + 41. Is 10 a factor of (0 + -1)\/(w\/140)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 693, 695, 697, 699, 701, 703?\nAnswer: 705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 490, 2030, 4590, 8164, 12746?\n\"Answer: -c**3 + 516*c**2 - c - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4 + -2. Suppose 5*t - 17 = m*g, 3*g = 2*g - t + 2. Which is the closest to -0.2?  (a) 0.5  (b) 0.2  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 350581997?\nAnswer: 350581997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 18 + -20.4. Let z(x) = 30*x - 184. Let d be z(6). What is the nearest to -1\/2 in -0.5, d, u?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 5*s = -27. Suppose -3*x - 44*t + 50 = -45*t, 5*x - 88 = -3*t. Calculate the remainder when x is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -20*w**3 + w**2 - 1719522*w - 249898840 wrt w?\nAnswer: -60*w**2 + 2*w - 1719522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 11 = -p + 7, -2 = m - p. Let h = -0.98 + 0.18. Let r = -1.8 - h. What is the smallest value in m, r, -0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5 - ((-72)\/30 - 3))*(-63 + 28)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 4 - 7 - 4*s**2 + 5*s**2. Suppose 16 + 44 = 5*f. What is the remainder when z(5) is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.422836 days in nanoseconds?\nAnswer: 36533030400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 13 = -5*q - 35, 5*n - 3*q = 60. Suppose 4*x + 3 - 11 = 0, -3*p = -x + 14. Let w = p + n. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5184 and 4672.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -k**3 + k + 9. Suppose 0 = -o + 3*o - 10. Suppose 3*z - o*z = 0. What are the prime factors of w(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 631 minutes before 4:07 PM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 112 = 213. Suppose 11 = 7*y - 8*y. Let v = y + 37. Calculate the highest common factor of v and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(320) - 1*sqrt(20)\/sqrt(4))**2 + 0 - ((-2*sqrt(30))\/sqrt(3))\/(sqrt(600)\/sqrt(12)).\nAnswer: -138*sqrt(5)\/5 + 249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 25, -3, -1\/2, 3, 0, 2\/3 in descending order.\nAnswer: 25, 3, 2\/3, 0, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-5*-1*sqrt(1323) - sqrt(1323))*3)\/(sqrt(576) + (sqrt(576) + (2*sqrt(576) - sqrt(576)) + sqrt(576))*-1 - (3*sqrt(576)*1 + sqrt(576))))**2.\nAnswer: 147\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-8)\/2*(1 - 0). Let d(i) = -5*i + 1. Let k be d(4). Let f = k + 24. Which is the closest to f?  (a) -2  (b) u  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6 + -6.4. Let s be 19\/2 - (9 + 15 + -15). Suppose 2*g - 11 = -5*p, -16 = 4*g - p - 5. What is the third smallest value in g, t, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -25\/16 and 35\/36.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(4\/7)*a**(-9)*((a\/(a*a\/(a*a*a**(-2\/3)*a)))\/a)**13*a**(-7)\/(a*a**(-2))*a**(2\/27)*a*a\/(a\/((a\/a**(2\/3))\/a)) assuming a is positive.\nAnswer: a**(-1831\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand 15*r**3 + 10*r**3 - 5*r**3 + (r + 2*r - 6*r)*(17*r**2 + 14 - 14).\nAnswer: -31*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*u - 5*w + 58, 759571*w - 11 = -u + 759568*w for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2657.3 + -2657. Let w = -15\/7 - -37\/14. What is the nearest to w in -4, -3\/5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = -9 - 3. Suppose -12 = -3*j + x, -3*j + 0*x + d = -4*x. Solve 2*u - 22 = 4*u + 5*m, j*u + m = -8 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2.8 + 3.9. Let x = -135.7 + 137. Let l = x - d. Are -0.1 and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2013 + -3?\nAnswer: 2010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 4140001 (base 7) in base 11?\nAnswer: 30a456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - q - 268 = 0, 3*w + 438 - 1230 = -3*q. What is the remainder when w is divided by 24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3615, 7221, 10825, 14427, 18027, 21625?\nAnswer: 25221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 1\/4 of a millisecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is t in -2*t**5\/5 - 16*t**4 - 584*t**3\/5 - 716*t**2\/5 + 578*t + 620 = 0?\nAnswer: -31, -5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2860?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k*k**(2\/3))\/k)**35)**(-9\/5)*((k*k**(1\/6)\/k)\/k*k**(-8)*k*k)\/(k**(-2\/3)\/k)**(-5) assuming k is positive.\nAnswer: k**(-343\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -5*v - 3. Let p(d) = 3*d**2 - 3*d + 2. Let m be p(3). Let l = m + -2. What is the remainder when l is divided by u(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -13 + -14 + 24 + -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -6235*b**2. Let a(g) = -24*g**2. Give s(a(p)).\nAnswer: -3591360*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1001010000210 - -12?\nAnswer: 1001010000222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 50*z - 1. Let d be o(3). What is the second derivative of d*p - 32*p**2 - 125*p**2 + 79*p**2 wrt p?\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1  (b) 25407  (c) 0.2  (d) 0.3  (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 15.1 + -5.06. Let p = v + -10. Round p to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -m**3 + m**2. Let u be h(-1). Solve -u*o + 3 = -o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -105*u**2 + 40*u. Let w(x) = -8*x**2 + 3*x. Suppose 60*a = 63*a + 120. What is a*w(y) + 3*t(y)?\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -g + 0*g + 2*g - 10 + 10 - 1. Let l(q) = 4*q - 7. Give -l(k) + 5*p(k).\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/(((-8)\/2)\/2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-z - 5*z + 4*z)*(-3*z + z + 3*z) + (7*z - 3*z - 2*z)*(2*z - 4*z + 4*z) + 3*z**2 + 461169*z - 461169*z + 48 in the form i*z**2 + y + n*z and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 18\/(-30) + 6\/10. Solve -z + 5*z + p + 18 = u, 4*z - 5*p + 30 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 - (4 + -5)) + 13 - 5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = -0*z - 12. Suppose 1034*p - 1260 = 24629 + 8233. What is the remainder when p is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -789040 divided by 14.\nAnswer: -56360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 121 - 141. Let w be (-6)\/f - 3\/(-6). What is the closest to -1 in w, -2, 3\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(80) - sqrt(80) - sqrt(80))*-2 + sqrt(80) - sqrt(80))**2 + -2 + (sqrt(5)*1*5)**2.\nAnswer: 5243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7.3588698 milliseconds to hours.\nAnswer: 0.0000020441305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(3) - (-1*sqrt(36))\/sqrt(12))*4)**2.\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3720*y**2 - 3237*y**2 - 2164*y**2)*(-2 + 2 + y)*(3 - 7 + 2).\nAnswer: 18242*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33 = -5*n - z, 5*n = -2*z + 459 - 500 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) be the first derivative of c**2 + 2*c - 1\/3*c**3 + 39 - 625\/2*c**4. Is p(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = o**2 + 8*o - 33. Let h be p(-11). Suppose h = -2*j, 3*k - 2*j - 12 = -k. Suppose 7*q = k*q + 12. Solve -q*a + 4*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 11\/47 + 4067\/94. What is the common denominator of x and 2 + (1 - 46\/(-44))?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -7 by 2.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/(h**(-2\/7)*h*h))\/(h**0\/h))\/(h**(-1\/2))**(-27) assuming h is positive.\nAnswer: h**(-185\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00193 rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -91*k - 59*k + 7650 for k.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vvzvyvyyyzvzvfvvvzyv. Give prob of picking 1 z and 3 v.\nAnswer: 32\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 193\/154 - 15\/14. Let z = 6.9 + -7. Which is the closest to 0?  (a) r  (b) 4  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 35 + 0?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) be the third derivative of z**6\/1260 + 101*z**5\/630 - 104*z**4\/63 + 20*z**3\/3 - 6*z**2 + 212. Let k(n) = 0. Calculate n.\nAnswer: -105, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2575 and 309.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 107116620571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 102340 (base 8) to base 14.\nAnswer: c57a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 302969 - 188266. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in -4, 3\/46, 0.44?\nAnswer: 3\/46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -38 - 0 - (4081 + -4065)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -p + 1. Let u be g(-8). Suppose 0 = -q - 2*r, 0*r + 10 = 3*q + r. Suppose -2*y + 3 = -2*w - u, 18 = 2*y + q*w. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 353 minutes before 2:48 AM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1.1 + -0.6. Which is the third biggest value?  (a) 0.4  (b) -5  (c) n  (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(208)*3)\/sqrt(8))\/((sqrt(36)\/sqrt(3))\/sqrt(6)).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that -2*y**5\/11 + 68756*y**4\/11 - 593663756*y**3\/11 + 47042931176*y**2\/11 + 8715193514*y + 4384587724 = 0.\nAnswer: -1, 82, 17149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 9908539 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 162074471 and 4277?\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -63, 25, 2, -2\/13, 4\/9, -0.5 in descending order.\nAnswer: 25, 2, 4\/9, -2\/13, -0.5, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 2*s + 12 = 0, s + 3*s = 20. Suppose l*f = 13 - 7. Let k(o) = 5*o**3 - 2*o**2 + 4*o - 2. Does 16 divide k(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -a**3 - a**2 - 3*a + 2. Let n(b) = -b**3 + b**2 - 3. Let g be n(0). Does 7 divide d(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 4*j = 1693, -934 + 4296 = 2*c - 4*j. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -216.4 rounded to the nearest 10?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/36 + 160\/90 + -2.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1686256 is divided by 567?\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 247230 and 12300?\nAnswer: 2472300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1887\/7 - 270. Which is the fourth smallest value?  (a) 3  (b) i  (c) -12  (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -120.63 - -120.23. Which is the closest to 0.6?  (a) f  (b) -59  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -o**2 - 3*o + 43. Give j(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*f**2 - f**2 + 2*f**2)*(-316 - 452 - 26)*(-f + 2*f - 2*f) in the form q*f**2 + k*f**3 + t + p*f and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.4, -5\/3, -1882, -0.07, -4?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -3*m. Suppose 4*c - 8 = -0*c. Let a(j) = -6*j + c*j - j + 3*j. Determine a(g(r)).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -7.745 - -5.745. Which is the nearest to -1.6?  (a) -4  (b) o  (c) -5  (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 17, -1 in descending order.\nAnswer: 17, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 18\/81 - (-362)\/(-1710). Let s = 99\/380 - m. Let u = -233 + 232. Which is the biggest value?  (a) u  (b) -3  (c) 29  (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28868017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 28658 times -5?\nAnswer: -143290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -10*k. Let q(l) = 618*l. Give q(z(t)).\nAnswer: -6180*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 124544303 (base 6) to base 2\nAnswer: 1001011011010011101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) be the first derivative of 0*v + 3 - 1\/3*v**3 + 5\/4*v**4 - 4\/5*v**5 + 0*v**2. Factor i(k).\nAnswer: -k**2*(k - 1)*(4*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -101022100022 (base 3) to base 4\nAnswer: -301202201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 445.6307 micrometers in centimeters?\nAnswer: 0.04456307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = w + 3*w - 20. Suppose -5*o - 19*c + 15*c + 1 = 0, -3*o + 7 = 4*c. Sort -36, o, w.\nAnswer: -36, o, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = l - 2. Let y be f(4). Suppose 2*v - 2 = y. Suppose -z + 65 = v*h + 2*h, 3*h = 3*z + 60. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 143, 39, -65, -169, -273?\n\"Answer: -104*s + 247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 1027.5075ms?\nAnswer: 0.017125125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.33 + -0.23. Which is the nearest to u?  (a) 2  (b) 3\/4  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11097915.\nAnswer: 3, 5, 739861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -44, -204, -472, -848, -1332, -1924?\n\"Answer: -54*k**2 + 2*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -3 - d?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1  (b) 2  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1252549?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 757226 and 114?\nAnswer: 2271678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 2*p**3 + 6*p**2 + p + 3. Let g be 2*(0 - -1) - 2. Suppose g = -2*q + 1 - 13. Let l(v) = v**3 + v**2 + v + 1. Let a(r) = q*l(r) + 2*b(r). Factor a(x).\nAnswer: -2*x*(x - 2)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5141 and 14453.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/7*(-15)\/(-15). Which is greater: j or 204\/5?\nAnswer: 204\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 31173414.\nAnswer: 2, 3, 19, 31, 8821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-1\/4)*s*s*s*s\/(s*s**1*s)*(s*(s**6*s*s)\/s)\/(s**(2\/3)\/s))**(-40))**(1\/12) assuming s is positive.\nAnswer: s**(-545\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 2\/3, -4, 501, -3 in decreasing order.\nAnswer: 501, 2\/3, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 9 + 5)*(18*r - 33*r + 16*r)*(0 - 4 + 5)*(2 - 5 + 1).\nAnswer: -16*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is i in -3*i**5 + 45*i**4 + 162*i**3 - 3846*i**2 + 5841*i + 9801 = 0?\nAnswer: -9, -1, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 2501 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -2*7 - (9 - 6)\/(-1). Put -2, 4, -5, b in descending order.\nAnswer: 4, -2, -5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 61 + -55. Suppose -7*k + 37 = -c*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 207285677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -697 less than -698?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 407 is divided by 60?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 799 - -1691?\nAnswer: 215a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 14923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -234*k**2 + 1596*k - 783*k - 800*k in the form j + x*k + d*k**2 and give d.\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -1 + 11\/9 + (-225)\/(-81). Solve 0 = -i*o + o - 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18.37155 minutes in hours?\nAnswer: 0.3061925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*f - 26*f + 63*f - 2535 = -10*f for f.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1 - -45248a9?\nAnswer: 45248a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -3, -0.3, -4\/21?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7 + -16. Let r be (-1)\/(-3) + (-15)\/z. Suppose -34 = -6*b + 8. Solve 2*t - 8 + 4 = 2*a, 0 = r*t + a - b for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 9429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 786592402*v**3 + 63*v**2 - 12*v + 22818.\nAnswer: 4719554412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -227\/1671 + 17375\/574824. Find the common denominator of 71\/24 and j.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42 = 6*s - 90. What is the second derivative of -13*n**2 + s*n + 15*n + 50*n**2 wrt n?\nAnswer: 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wewejjje. Give prob of picking 1 e and 1 j.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of 99 and -0.74.\nAnswer: -73.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 85 a factor of 3688223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.3013 - -3.3013. Let o = -0.5 - -1. Which is the biggest value?  (a) o  (b) f  (c) 2\/11  (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 14*2914\/217*((-3)\/4 - -1)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -5, -65, -165, -305, -485, -705, -965?\n\"Answer: -20*t**2 + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 15 and 45780.\nAnswer: 45780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = j**3 + 6*j**2 + j + 4. Let s be n(-6). What is the common denominator of 61\/6 and ((-9)\/s)\/(6\/29)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11 + (-11 - (-8 - -6)) - (19 + 4)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -q**2 - 3*q + 41. Let f be d(-8). Sort f, 3, 6.\nAnswer: f, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 10 + -5. Let b(g) = -100*g + 21. Let q be b(-2). Let k = -221 + q. Sort u, k, 2, 1 in descending order.\nAnswer: u, 2, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 2*g. Let p(a) = 104*a**2 - 6. Give y(p(x)).\nAnswer: 208*x**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 4, 164, -18?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43*o = -53*o + 50. Let g be 6\/o*-25*(-6)\/420. Factor 12\/7 + g*n**2 - 12\/7*n.\nAnswer: 3*(n - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 62835161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 242*u - 18396 = 725*u + 393*u for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) be the second derivative of -t + 0*t**3 + 0 - 11\/30*t**6 + 0*t**4 - 11\/2*t**2 + 0*t**5. Differentiate k(f) wrt f.\nAnswer: -44*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 0 + 2)*(-89 - 21*u + 15*u - 3*u) to the form n*u + v and give v.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 147*c - 165755 - 26521 = 0. What is the least common multiple of c and 24?\nAnswer: 2616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1110000 (base 2) to base 5.\nAnswer: -422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 74131?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 11\/8 of a milligram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 8485720 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -229227146, -229227147, -229227148?\nAnswer: -229227149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 714864, 1430390, 2145916?\n\"Answer: 715526*y - 662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -y - 2. Let a(h) = -3. Let z(u) = u**2 - 7*u + 8. Let c be z(6). Suppose -2 = -2*w + c. What is w*a(i) - 3*k(i)?\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(q**(-1\/9)\/q*q)*q)\/((q\/q**(-1\/5))\/q))\/(q\/(q\/(q\/(q**(-2\/5)\/q))))**(-29) assuming q is positive.\nAnswer: q**(3218\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -28, -140, -326, -586, -920, -1328?\n\"Answer: -37*h**2 - h + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 48 + -146\/3. What is the nearest to 1 in g, -0.3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = b**3 + 9*b**2 - 50*b + 17. Let k(i) = -2*i**2 - 14*i + 4. Let f be k(-8). Is n(f) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -38 - -42. Let j = v + -3.1. Put j, 1\/10, 3\/2 in descending order.\nAnswer: 3\/2, j, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2 - 176\/(-92))*2\/(-4). Do 2 and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 14956?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -1556, -4229, -8672, -14885, -22868, -32621, -44144?\n\"Answer: -885*a**2 - 18*a - 653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 85492919.1 rounded to the nearest ten thousand?\nAnswer: 85490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -170 + 164. Let t(w) = 2*w**2 + 2*w + 3. Let f(x) = x**2 + 2*x + 2. Let k be 69\/9 + (-8)\/12 + 0. Let l(b) = k*f(b) - 3*t(b). What is l(y)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*z = -m - 2*z + 542, -1024 = -2*m - 4*z. Which is smaller: m or 524?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by -180\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5\/23 - -61\/69. Let o = -0.8 - 1.2. What is the smallest value in l, 4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 41377*r**3 - 15778*r**3 + 68704*r**3.\nAnswer: 94303*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1.6114 + 2.0114. Which is the second smallest value?  (a) p  (b) 5  (c) 17\/2  (d) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 5  (b) -5  (c) 0  (d) 19  (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 80040 and 14790?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -5189.9 to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 106789 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 1 u when two letters picked without replacement from gheguuz?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5\/2, 4, 205087, -0.3, 0.2, -8 in decreasing order.\nAnswer: 205087, 4, 0.2, -0.3, -5\/2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -91 + 851 = 5*t. Does 38 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -6\/83?  (a) -0.1  (b) -2  (c) -29  (d) -5  (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = t**3 - 3*t - 1. Let h(a) = 7*a**3 - 66*a**2 + 111*a - 67. Let s(r) = 5*g(r) - h(r). Factor s(v).\nAnswer: -2*(v - 31)*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 124893753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4*v**2 + 1184963*v + 20254566.\nAnswer: 8*v + 1184963","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**0\/b)**(12\/11))**2*(b**(3\/5)\/(b**(-2\/3)*b))**(-1\/44) assuming b is positive.\nAnswer: b**(-361\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + 1*sqrt(245) + sqrt(245) + -4.\nAnswer: -1 + 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 80380*h**2 - 87230?\nAnswer: 160760*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -3*d**3 + d**2 + 2*d + 1. Let g be a(-1). Suppose -5*p + p - 3*s + 1360 = 0, -1023 = -3*p - g*s. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1204 + 1214. Calculate the highest common factor of 130 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 3*p + 65 = 0, -2*b = 2*p - p - 26. What is the greatest common divisor of 13 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*s + 3*b - 460 + 614 = 0, -s = b - 34 for s.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 5452*f - 65421. Let r be x(12). Determine q, given that -9\/4*q**r + 27\/2*q**2 + 1\/4*q - 3\/2 = 0.\nAnswer: -1\/3, 1\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + 2*w = 2285, -4*b = -4*w - 3277 + 257. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*-1*sqrt(17) + (0 + sqrt(17) + sqrt(17))**2 + 5.\nAnswer: -4*sqrt(17) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 15989 rounded to the nearest one thousand?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 5.51+-45492418.0889\nAnswer: -45492412.5789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide 173839130 by 5.\nAnswer: 34767826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -3, 157 in descending order.\nAnswer: 157, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -f + 6. What is n(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -11049, -44533, -100339, -178455, -278869, -401569?\nAnswer: -546543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 85505780 take away 2.2?\nAnswer: 85505777.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -i**2 + 13*i - 32. Let q = -11735 - -11745. Give j(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from vvvvvvvvvvvvvsv.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mpcmpcpcp. Give prob of sequence pmpm.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -2 + -2 - (-9 + 0). Suppose 0*d + j*a - 18 = -2*d, -4*d + 26 = 5*a. Find the second derivative of d*k**4 - 14*k + 5*k**4 + 5*k**3 - 5*k**3 wrt k.\nAnswer: 108*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 2*k**2 - 33*k - 548. What is x(27)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = r**3 - 6*r**2 + 3*r + 1. Let v(c) = c - 3. Let d be v(9). What is the units digit of x(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-2\/23)\/w)\/w**(2\/37))\/((w**(-1\/2)\/w)\/w**36) assuming w is positive.\nAnswer: w**(61883\/1702)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 61\/160 and 111\/140.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -137 (base 13) to base 10\nAnswer: -215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -722 - -165?\nAnswer: -546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2372530?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4\/2 - (2 + -3). Let x = w + -1. Let b be -12*x\/(-4) + -3. Solve b*v + 9 - 3 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -286 - -291. Let r(i) = i - 1. Let y be r(5). Suppose -z + y*p + 11 = 0, 5*z + p - 7 = q*p. Sort 5, 3, z in ascending order.\nAnswer: z, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 344224.8 litres?\nAnswer: 344224800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -3*z + 3. Let q(p) be the first derivative of p**3\/6 - p**2\/2 - 2*p - 2. Let u(h) be the first derivative of q(h). Calculate -s(n) - 4*u(n).\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -146*f - 481*f + 1 - 4701*f**2 + 4702*f**2.\nAnswer: f**2 - 627*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 2105 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 246 minutes after 5:39 PM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -10873236*n**4 - 135*n + 13401.\nAnswer: -130478832*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Put 67, -1, -2, 3, -13 in descending order.\nAnswer: 67, 3, -1, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -15 + (4 - 13 - -18).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -160 + 125. Let u be ((-51)\/4)\/((-1)\/(-4)). Let q = y - u. Calculate the remainder when 47 is divided by q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5 + 741 + 2 + 10 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 728 and 7.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -1802.2 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -380\/429  (b) 10  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-110)\/(-187)*(36 + -70).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 493 minutes before 7:11 PM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -119\/5424 and -53\/6?\nAnswer: 5424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is k in k**5\/4 - 38*k**4 - 5643*k**3\/4 - 2745*k**2\/2 = 0?\nAnswer: -30, -1, 0, 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -1*2\/6*-6. Solve -3*k = -3*r - r + 14, 0 = 4*k - 2*r + d for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((4*(sqrt(242) + 0))**2 + 0 + 5*-2*(2*sqrt(242) + sqrt(242))).\nAnswer: -1980*sqrt(2) + 23232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that -3*a**5 - 3*a**4 + 18*a**3 - 6*a**2 - 15*a + 9 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 11*i**3 + 3*i**2 - 5*i - 5. Let f(z) = -5*z**3 - z**2 + 2*z + 2. Let w(x) = -10*f(x) - 4*g(x). What is the third derivative of w(p) wrt p?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*l**4 + 0*l**4 - l**4)*(7 - 7 - l) - 2*l**5 + 2*l**5 + l**5 + (-2*l + 3*l + 3*l)*(-3*l**4 + 4*l**4 + l**4).\nAnswer: 12*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 211218?\nAnswer: 2, 3, 7, 47, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xx when two letters picked without replacement from dastassxxaaxtxxaaaa?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = q**2 - 7*q + 2. Let z be c(7). Suppose 3*i = z*w + 2*i - 17, w = -4*i - 5. Find the second derivative of -7*b - 5*b**3 - 17*b**3 - w*b - 3*b wrt b.\nAnswer: -132*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*h + 4 + 36. Let d(k) = k**3 - 7*k**2 - 5*k + 1. What is the tens digit of d(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2042, -0.5, 1\/3, -2\/7, 0 in descending order.\nAnswer: 1\/3, 0, -2\/7, -0.5, -2042","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-120)\/18)\/((-1)\/3). Solve -s = k - 15 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 19*g - 5. Let p(x) = 10*x - 3. Suppose 17 + 13 = 6*j. Let d(l) = j*p(l) - 2*i(l). Let s be d(1). Put -3, -4, s, 1 in decreasing order.\nAnswer: s, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = 2*s - 0*s - 3886, 5*s - 5*i = 9735. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -389*a**5 - 6450*a**3 - 60203897*a**2?\nAnswer: -23340*a**2 - 38700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1 + 252.\nAnswer: 252.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -17\/44394 and -71\/107814.\nAnswer: 754698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -2*j**2. Let r(b) = 837835*b. Give f(r(s)).\nAnswer: -1403934974450*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1776*g**3 - 3530*g**3 + 1756*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yyjjccyycgn. Give prob of picking 1 g and 1 c.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1 + 1. Suppose 2 = -3*u - n, -u + 2 = 3*n - y. Let h = 1.96 - -2.04. Which is the closest to u?  (a) -0.2  (b) h  (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11110 - 1000001111000?\nAnswer: -1000010010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23 + 25 - 3*c**3 - c**3 + 9.\nAnswer: -4*c**3 + 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 691 - 326 - 365 + 8*i.\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2787?\nAnswer: 3, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (8\/20*-1)\/(5\/50)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1163?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/((14\/56)\/1) + 114\/28.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 8*r - 3*r + 1340 = 0, -g + 444 = -3*r. Let l = g + -271. Is 13 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -4\/9, -0.2, 2\/39, 1.4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7 - 104) + 30 + -25 + 17?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5aefd (base 16) to base 10.\nAnswer: -372477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1765684*x**5 + 308165*x**2 + 2*x?\nAnswer: 105941040*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-18 + 62*s**2 - 30*s**2 - 34*s**2)*(2*s + 4*s + 4*s).\nAnswer: -20*s**3 - 180*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 - -9 - (-3 - -11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -8, -0.6, 9, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) be the first derivative of -2*n**3 + 1\/2*n**2 - 1\/4*n**4 + 3*n - 4. What is the tens digit of h(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 347 and 0.4.\nAnswer: 138.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -12494 divided by -6247?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = -5*z - 21, 0 = -5*v - 2*z - 0*z + 18. Solve 0 = -o - v for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1 - -2. Solve h - s*h + 6 = 5*v, -5*v + h + 12 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -c**3*g**3 - 2*c**3 - 32*c*g**5 + 804*g**2 wrt g?\nAnswer: -6*c**3 - 1920*c*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*r**4 + 2693*r**3 + 3*r**2 + 1702*r - 2?\nAnswer: -24*r**2 + 16158*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1182 + -110?\nAnswer: -1302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -21 - (-40 + 44) - -14\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -70, -5285, -13978, -26149, -41798?\nAnswer: -60925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-205)\/((-416150)\/1044))\/((-6)\/(-28)).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 10243 - 10243. Let f(c) be the second derivative of 0 + 0*c**2 - 1\/5*c**5 + 31*c + o*c**3 + 7\/3*c**4. Let f(g) = 0. What is g?\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 967 rounded to the nearest ten?\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -2 - -16 - (-129 + 186) - -9\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 - 1 - 2*q)*(q**2 + 3*q**2 - q**2) - 12*q**3 - 36*q**3 - 45*q**3)*(1 - 1 - 1).\nAnswer: 99*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = -4*q - 68, p + 67 = -5*q + 1. Let v be 21\/q*(-8)\/6. Is 92*(v + (-21)\/12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = 3*q - 2. Let k be 3\/q*(-1 - 1). Find the common denominator of 4\/11 and (4\/(-15))\/(k\/35).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2\/49)\/(8\/(-56))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vlll when four letters picked without replacement from vvvlllvvlllll?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.1 - 0. Let k = -41\/141 + -2\/47. Let t = -55\/4 - -503\/36. What is the closest to k in n, -0.2, t?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 180459963?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3007*l + 3062*l - 1144000 = 0. What are the prime factors of l?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3991 - 3991.0000008785. Round f to seven dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:37 PM and 5:31 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does -478 = -471?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n\/n**0)\/n*n)**(12\/11)\/(n**4\/n*n**(6\/5)))**26 assuming n is positive.\nAnswer: n**(-4446\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*k + 6 - 24. Let p(j) be the first derivative of 38 + 1\/3*j**3 - 4*j**2 + 9*j. Determine p(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in -0.4, 0.5, 6, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4 and 448.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 7\/(105\/(-10))*-3. What is the first derivative of p**3 + 9733*p**2 + 2 - 9733*p**c wrt p?\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 182349 + -103853. Does 16 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of ((-2379)\/2)\/(100\/(-200))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -549 + 529 + (110 - (5 + -2 + 1))?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -100075  (b) -5  (c) -223\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*k**3 - k + k)*(1 + 1 - 3) - 2*k + 2*k - k**3 + 2 + 2*k**3 - 2 - k**3 + 0 + 0 + 3*k**3 - k**3 - 5*k**3 + 2*k**3 - k + k - k**3 + 0*k + 0*k.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -31 (base 12) to base 10\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*c + 50*c**3 - 15*c**3 - 9*c**4 - 17*c**3 - 27*c**3 - 2*c**2 to the form f*c**2 + b + o*c + r*c**3 + q*c**4 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 16*i + 33*i - 145 - 296. Solve i = k + 4*l, -k = -33*l + 38*l - 12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*n + 2\/7*n**3 - 8\/7*n**2 + 20\/7.\nAnswer: 2*(n - 5)*(n - 1)*(n + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) -0.2  (b) 0.04  (c) -1.4  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*h + 2*h - 4*h)*(-1058*h - 597*h - 259*h).\nAnswer: -3828*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*r**3 + 10522*r**2 + 14072768*r + 612149760.\nAnswer: 2*(r + 45)*(r + 2608)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 203*c = 204*c - q - 43, -116 = -2*c + 17*q. Calculate the remainder when 385 is divided by c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0  (b) 10  (c) 709\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.11 + 1.89. Let q = -3.09 - -0.09. Put v, q, 5 in ascending order.\nAnswer: q, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - (-9 - (9 + -21)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 591596 to the power of 1\/3, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2 - -1. Let t = 2 + s. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = d**3 - 21*d**2 + 16*d + 48. Let x be r(20). Suppose -5*k = -5*w + 19 + 116, 2*w - 85 = 3*k. Which is bigger: x or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 108.4730528 rounded to 0 dps?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11 = -0*i - 2*i - w, i = 572*w - 567*w for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 27\/4 of a micrometer?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = r**3 + 11*r**2 - 1029*r - 133. What is o(-38)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -367647.2 less than -5?\nAnswer: 367642.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -6216, -12434, -18654, -24882, -31124, -37386?\n\"Answer: -v**3 + 5*v**2 - 6226*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0 - 0.1. Suppose 0 = -2*j - 2*w - 8, 6 = -j + w - 6. Let d be (7 - j)*(-2)\/6. Which is the nearest to q?  (a) -3  (b) d  (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.94726576 to four dps.\nAnswer: 0.9473","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1753485725 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 72 and 507222?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -310 + -626264?\nAnswer: -626574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3.7 - -0.7. Let d = y - -2.9. Let g = -6 + 11. What is the nearest to d in g, 3\/4, -1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-570)\/(-11) + -1 - (-14)\/77. Calculate the greatest common divisor of 68 and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.111 times 2685?\nAnswer: -298.035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2331132201 - 10?\nAnswer: -2331132211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 454093781 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 23317 - 7450. Is 43 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4*h**2*j**2 + 15*h**2 + 17*h*j**2 - 4*j**2 wrt h?\nAnswer: -8*j**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uucuuocou. What is prob of sequence cc?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2146878.\nAnswer: 2, 3, 83, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*k**2 - 5*k + 4*k**4 - 7*k + 3*k**2 wrt k?\nAnswer: 48*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-8 + 2)*(-2)\/12*2. Let s(c) = 47*c + 4 - c**d - 56*c + 3*c**2. Let y(p) = -4*p - 18. Let g be y(-6). Determine s(g).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 924331698?\nAnswer: 2, 3, 43, 107, 11161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -1614313, -6457219, -14528729, -25828843, -40357561?\n\"Answer: -1614302*a**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.2 + 0. Let p = l + -0.3. Let i be 296\/444*(56\/64 + 1\/(-2)). Which is the smallest value?  (a) p  (b) i  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 71 a factor of 9175230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -33?  (a) 141  (b) 2\/3  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t = 3*c + 28, 20*t - 9*c = 20*t - 4*c - 5 + 25 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -149\/2694 and 121\/570.\nAnswer: 255930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 58*c - 12 = 2*f + 54*c, 0 = 4*f + 4*c + 48 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -503ae + 49?\nAnswer: -50365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 0.2  (b) -2\/617  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) -6  (b) 25  (c) 5\/4  (d) 1.4  (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -34*k. Determine h(1).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) be the first derivative of 13*o - 12 - 11\/2*o**2. What are the prime factors of g(-8)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -1 - -4 - ((-15)\/5 - -2). Suppose j*t - 3*g = 5*t - 6, -4*g = -5*t + 125. What is the lowest common multiple of 66 and t?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 65 - 59.2. Let t = n - 5. Let q = -0.800005 + t. What is q rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3, -0.7, 0, -25837?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -601597551 divided by -4\nAnswer: 601597551\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k = -2*f - 2, 55*f = 51*f + 16 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) be the first derivative of -i**6\/240 + 7*i**4\/96 + i**3\/8 + 29*i - 35. Let y(q) be the first derivative of p(q). Factor y(g).\nAnswer: -g*(g - 3)*(g + 1)*(g + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -38*t**4 + 5*t**2 - 3*t wrt t.\nAnswer: -912*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 222 divide 43521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4557*a**5 + 3007*a wrt a?\nAnswer: 91140*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 358 is divided by 26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1425.77 years in months?\nAnswer: 17109.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 21*f - 136. What are the prime factors of z(31)?\nAnswer: 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -42, -176, -402, -720, -1130, -1632?\n\"Answer: -46*i**2 + 4*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 569365 * 0.3.\nAnswer: 170809.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1\/1902108 and -109\/19021080.\nAnswer: 19021080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10101 - -2?\nAnswer: -10022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -20, -1, 193.\nAnswer: -20, -3, -1, 193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 42*o**2 + 142*o + 32*o + 1 + 19*o - 44*o**2 to the form z*o + f + t*o**2 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = f. Suppose 14 = m + 15. Let d(q) = q**3 - 3*q**2 + 2*q + 1. Let r be d(2). Let y(i) = -i. Calculate m*y(z) + r*s(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 9155\/4 - 2287. Let u(v) be the first derivative of -r*v**4 + 4 + 24*v + 0*v**2 + 0*v**3. What is the derivative of u(i) wrt i?\nAnswer: -21*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-74)\/(-8) - -2)\/(522\/696). Let j(f) = 4*f - 68. What is j(h)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 117*m**3 + 6*m + 343. Let y be j(-10). What is y rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + -4 + (-19 - 1) + 16 + 54?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0, -250, 1, -0.01?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 560*r + 3922. Let h be j(-7). Solve -w + 1 = x, -h*w - 7 = 3*x - 4*x for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u = 3*u + 1. Let c be 0\/(1\/(-1))*u. Let j = 11 + c. Does 11 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = r**2 - 38*r - 644. Let b(c) = 3*c**2 + 9*c - 9. Calculate the remainder when b(-7) is divided by g(-13).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3*0.74\nAnswer: 2.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -211, -412, -609, -808, -1015, -1236, -1477?\n\"Answer: -z**3 + 8*z**2 - 218*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 244859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 15.49 - 17.49. Which is the second biggest value?  (a) x  (b) -3\/4  (c) 2  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10463803 is divided by 145?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + 5 + (2 + sqrt(192) + 1 - sqrt(192)) + sqrt(192))**2 + (sqrt(243)*2*6 + sqrt(192)*-1 + sqrt(3) + (sqrt(3) - (sqrt(12)\/sqrt(4) - sqrt(3))*-6))**2.\nAnswer: 64*sqrt(3) + 31420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -490 divided by 6061?\nAnswer: -490\/6061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) be the second derivative of -f**3\/3 - 9*f**2\/2 - 6*f. Let k be i(-9). Suppose -s + k + 21 = 0. Is s a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 733 - 814. Which is the biggest value?  (a) 3  (b) -2\/3  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = z**3 + 20*z**2 + 55*z + 71. Give g(-17).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1 - 14\/6)*(-270)\/(-60). Find the common denominator of -23\/18 and ((-84)\/(-18))\/(r*(-6)\/(-39)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -18*9*(-11)\/(-297).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 585*o**2 + 2*o. Let g(s) = 575*s**2 + 2*s. What is 6*g(b) - 5*p(b)?\nAnswer: 525*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 7*u + 115. Let p be i(-17). Let m = -0.4 + 5.4. Sort m, 2\/13, p in descending order.\nAnswer: m, 2\/13, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z - 2*n + 65 = -290, 3*n + 330 = 5*z. Does -0.4 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(q\/q**21)*q**9*q)**44)**(-1\/55) assuming q is positive.\nAnswer: q**(-124\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -146 - -226. Let r = -74 + c. Let k be (30\/35)\/(r\/21). Solve -4*g = -5*f - 9, 0 = -k*g - 2*g - f - 25 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 - 12)\/(-38 - (-7931)\/206).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 16 - 8 = -4*x, 3 = -2*u + 3*x. Suppose 0 = -u*i + 6*i - 168. Calculate the highest common factor of 7 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - s + 2 = 4*r, -3*r + 18 = -3*s. Suppose -2*v + 41 = 15. Let o = s + v. Solve -2*i + 12 = o*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*c - 4*c + 2*c - 2 + 2 - c + (c + 0 + 0)*(-2 + 1 + 2) - c - c + 0*c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 325197?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-3)\/(-30) - (-1 + 724\/760). Is -1 != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 60385133 a multiple of 329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -3620 - -7?\nAnswer: -3613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -15*g**2*r**4 + 4*g**2*r**2 + 60*g**2 wrt r.\nAnswer: -60*g**2*r**3 + 8*g**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*l + 20*l = -36. Let v be 9\/90*-2*(l - -1). What is the closest to 0.1 in 1, -4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*r = r + 55. Let d(n) = -r*n + 0*n + 0*n. Let h(f) = -f. Calculate d(h(k)).\nAnswer: 11*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) be the second derivative of b**6\/15 - b**5\/5 - b**4\/6 + 2*b**3\/3 + 32*b. Factor v(l).\nAnswer: 2*l*(l - 2)*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:39 AM and 8:31 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (34\/6 - 1\/(-3)) + 5450\/(57 + -166)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 5 and 1368915.\nAnswer: 1368915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 30 divide 80400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -34738, -34385, -34032, -33679?\nAnswer: -33326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(6\/7)\/(w**(2\/31)\/w)*w**(2\/7)\/w**(-8))**(-16) assuming w is positive.\nAnswer: w**(-34992\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 0.45 times -0.1\nAnswer: -0.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*o + 5*j - 15, o - 6*j + j = 10. Suppose -3*a = -5*s - 0*a + 1018, -604 = -3*s - o*a. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of (-127 - -121) + 132\/3 and 209.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2530?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j - 4*l + 36 = 0, 2*j - 2*l = -j + 22. Let n(s) = 24*s + 7. What is the remainder when n(j) is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 55*j - 9. Let f be s(6). Let r = f - 486. Calculate the smallest common multiple of 2 and (-2)\/6 + r\/(-9).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -3\/22205, 321 in descending order.\nAnswer: 321, 5, -3\/22205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = 2*t + 2. Is t a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(891) - (sqrt(891) + 0) - (sqrt(275) - (sqrt(275) + -1))**2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*x**2\/5 + 39720648*x\/5 + 131477489794992\/5 = 0. What is x?\nAnswer: -6620108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-8\/3)*q**12)\/((q**28*q)\/((q\/((q*q**(-10)\/q)\/q))\/q)) assuming q is positive.\nAnswer: q**(-26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-400)\/(-100))\/(4\/(-26))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3965\/(-671) - (-1)\/(1\/6). Put 1.7, j, 2, -3 in decreasing order.\nAnswer: 2, 1.7, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3371, -6738, -10083, -13394, -16659, -19866, -23003, -26058?\nAnswer: -29019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1134952*q**2 - 58*q - 23862?\nAnswer: 2269904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Product of -5552 and -32.\nAnswer: 177664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = p**2 - 5*p - 33. Let n be g(9). Suppose n*y - 3 = 0, 3*k - 3*y = 275 + 478. Is 18 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -105*k**2*o**4 + k**2*o**3 - 17*k**2 + 6*k*o**2 - 3*o**4 wrt o?\nAnswer: -2520*k**2*o + 6*k**2 - 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 636*p**2. Let r(o) = 2*o**2. Give r(k(n)).\nAnswer: 808992*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.13 times -0.04?\nAnswer: 0.0452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10101000100 (base 3) to base 4.\nAnswer: 100030230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 49456928?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1.42 + 1.52. Suppose 2*q - 4*q + 3*k = 23, 0 = -4*q + 5*k - 41. What is the closest to -1\/4 in c, q, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -55 + 53. Let z be (-3*(-3)\/81)\/((-10)\/(-45)). Let p = -0.9 + 1. Which is the closest to p?  (a) -5  (b) z  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 433472 and 298012.\nAnswer: 4768192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 20 + -18. Suppose -a*t + t + 5 = 0. What is the highest common divisor of 35 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 471989382 to the nearest integer?\nAnswer: 779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*h - 69 = 9. Suppose -h*s = 5*g - 292, -92 = -s + 19*g - 22*g. What is the remainder when s is divided by 1 - (0 + -25 + -1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 278*0.5\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (a**2 + 2 - 2)*(2*a - 5*a + a) - 2*a**3 + 5*a**3 - 2*a**3 + 35 - 1027*a**3 + 349*a**3 - 35 in the form o*a + k + h*a**2 + p*a**3 and give p.\nAnswer: -679","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s - 74 + 425 = 0. Suppose -t = -s - 8. Suppose -13*w + 140 = -185. What is the highest common factor of t and w?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1*((-330)\/40)\/(-11)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*s**2 - 2*s**2 + 4*s**2 + (22 - 22 + 7*s)*(5*s - s - 3*s) + 3*s**2 + 0*s**2 - s**2 + (-2*s - 3*s + 4*s)*(-2*s - 3 + 3).\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) be the third derivative of 5*v**4\/6 - 31*v**3\/6 + 51*v**2. Let g(c) = 7*c - 11. Let k(z) = -17*g(z) + 6*i(z). Determine k(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 596577?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = 2*g + 32 + 62, -5*s - g - 255 = 0. Let u be ((-32)\/6)\/(1 + (-2)\/3). Let j = u - s. Calculate the greatest common factor of j and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = f**3 - 13*f**2 + 21*f + 15. Let c be g(11). Solve 0 = 2*m - 2*t + t - 6, -4*m + c*t = -8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -3, 0.866574 in decreasing order.\nAnswer: 0.866574, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.04 + -3.04. Let u = 36 + -62. Let d = u - -180\/7. What is the nearest to d in -0.2, n, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 3 c when four letters picked without replacement from cggcgccccggg?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 105\/962228 and 87\/418360.\nAnswer: 9622280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (153\/(-204))\/((-6)\/48)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -4*y**2 + 12*y + 12. Let j be q(7). Calculate the common denominator of -57\/20 and (25\/j)\/(6\/82).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2.6 - 0.9. Let o = 1.698 - i. Round o to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3ec0 (base 15) in base 7?\nAnswer: -54141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2061*t**2 - 21153*t**2 + 1938*t**2.\nAnswer: -21276*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) be the second derivative of -2*s + 1\/189*s**7 + 0*s**4 - 1\/45*s**5 + 0*s**6 + 0*s**2 + 1\/27*s**3 + 0. Factor k(c).\nAnswer: 2*c*(c - 1)**2*(c + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100100111011111010 - -11?\nAnswer: 100100111011111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 959*b**2*d**2 + 1506*b**2*d + 2861*b*d**4 - 33867*b*d wrt d?\nAnswer: 1918*b**2 + 34332*b*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 205864300.\nAnswer: 2, 5, 37, 55639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -m**2 - 15*m - 12. Let o be v(-14). Suppose o*b - 4 = 22. Suppose 1 = -2*k + b. What is the lowest common multiple of 13 and k?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3656 - 3651. What is the closest to 1 in z, -4.38, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in one tenth of a microgram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -0.3, -0.2, 185\/2, 0.05, -2\/13, -14?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 970 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 21994589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 31 + -44. Let u = b + 8. Put -3, -2, u in increasing order.\nAnswer: u, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1585.\nAnswer: 5, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.1 times -16795?\nAnswer: -35269.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -l**3 + 5*l**2 + 2*l - 3. Let h(w) = w**2 + 6*w + 5. Let v be h(-7). Let c = v + -7. Is s(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*h**2 + 3 - 4*h**2 + 1 + 2.\nAnswer: -4*h**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(-9)*(s\/(s*s**(-2)*s))\/s*((s\/(s*(s*s*s\/(s\/s**(1\/4))*s)\/s))\/s)\/(s**3*s) assuming s is positive.\nAnswer: s**(-65\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 31 + -34. What is the tens digit of 369\/v*2\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 686 and 4264?\nAnswer: 1462552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 21989744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 566 is divided by 134?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 164*c - 12801. Give p(78).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence quq when three letters picked without replacement from {u: 2, q: 3, h: 2, f: 4, w: 2}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20756092 divided by 4.\nAnswer: 5189023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*u + 2*u + 2179*u**2.\nAnswer: 2179*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 49951 is divided by 12461.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 120980 (base 10) to base 14\nAnswer: 32136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 5 and 33.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 188.23055 rounded to the nearest ten?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 3*n**2 + 5*n + 16. Let z(a) = -a**2 + 7*a + 2. Calculate the remainder when s(-3) is divided by z(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(1\/3)\/x)**(-2\/9)\/(x**(-3\/8)\/(x\/(x\/x**(-4\/7)*x)))*(x**(-3\/2)\/(x\/(x*x*x**(-3\/5)*x)))\/(((x\/x**5*x)\/x)\/(x\/x**(-2\/5))) assuming x is positive.\nAnswer: x**(32143\/7560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 71761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 3793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 61*h - 189*h + 386*h)*(4*h + 7*h + 2 - 9*h + (1 - 1 + 3*h)*(-4 + 3 - 1)).\nAnswer: -544*h**2 + 264*h + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 667 + -667.489. Round r to 2 dps.\nAnswer: -0.49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8 + (13 - 16) - 25\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 444 = 2*b + 2*b. Let x = b + -553\/5. Let q = 0 - 0. What is the closest to q in -0.2, x, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -37*l - 73997 + 525360. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 0*b + 4*b - 38 = 0, -3*b = 5*y - 81. Let j(s) = -4*s + 20. Let o be j(-25). What is the highest common factor of o and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 158647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -18*v**2 - 2949*v + 3465.\nAnswer: -3*(v + 165)*(6*v - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2 + -43425?\nAnswer: -43430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 395.7058m to kilometers.\nAnswer: 0.3957058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*c**4 - 3631*c**3 + 26*c**2 + 71661*c wrt c.\nAnswer: -24*c**2 - 21786*c + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5056316057 to the power of 1\/6, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -11, 0, -2, 5, -5 in increasing order.\nAnswer: -11, -5, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {y: 1, h: 5, i: 11}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -6*l - 3*l**2 + 3*l**2 + 0*l - l**2 + 10. Let d be r(-7). What is the units digit of 2\/((-2)\/1) + d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 25*y**2 + 59*y. Let x(o) = 8*o**2 + 20*o. Let s be (-56)\/(-21)*(-4 - -1). Let q(m) = s*x(m) + 3*j(m). What is the second derivative of q(k) wrt k?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 252, -30, -1303.\nAnswer: -1303, -30, 252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.02156 rounded to 3 dps?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1 - (3\/(-3) + 0). Suppose -j*u - 20 = -4*k - 2, 3*u = k - 2. Suppose 2*z = -1 + 5. Sort z, u, -2.\nAnswer: -2, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -6, 2\/9, -1544125?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*((-2 + sqrt(80) + -1)*3 + -2 + sqrt(80) + -4 + sqrt(80) + 0 + -3))**2.\nAnswer: -11520*sqrt(5) + 37184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kbn when three letters picked without replacement from eeeeeenkeknkeebe.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15705 is divided by 2558?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 27*g**2 + 180*g + 111. Give m(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**0*d**(1\/4))\/(d*d**(-3))**(-21) assuming d is positive.\nAnswer: d**(-167\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -19359*n + 884038 - 884038 to y + o*n and give o.\nAnswer: -19359","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -j + 4*j. Let n(k) = -2*k**3 - k. Let y be n(j). Suppose 0 = y*u - u - 1486. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 26755189\/4014 - 17709\/223. Let t = 6588 - k. What is the common denominator of (-76)\/380*(-1515)\/18 and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6743 - -6744. Is z smaller than -1\/172?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*k**2 - 7*k**3 - 15*k**3 + 7*k**3 + 2)*((3*k - 2*k - 2*k)*(2 + 1 - 2) - 3*k - k + k) to the form c + b*k**2 + v*k + f*k**3 + u*k**4 and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1540006 and 366?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 63 minutes before 7:02 PM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 104, 298, 492, 686, 880?\nAnswer: 1074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -31\/11953480 and 51\/55.\nAnswer: 11953480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rkckcwwjkkbc. Give prob of picking 3 b.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.4 and 1771107.\nAnswer: 1771106.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 189 = a - 6*a, 5*a + 5*g - 165 = 0. Suppose -3*y + a*u - 35*u = -2095, 2*y - 5*u = 1382. Round y to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + 0 + -3 + 5 + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 6*m**2 + 5*m**3 + 5*m**2 - 13 - 4*m**3 - 7*m + 4*m. What is the tens digit of a(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -40 - -37. Put 0, q, 0.5 in decreasing order.\nAnswer: 0.5, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 7\/105 - (-8024016)\/360?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 + 4. Suppose m*q = -3*j - 8, -3*q + 2*j - 6 = 3*j. Which is the second smallest value?  (a) 1\/23  (b) q  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -395 - -400. Solve 4*q - 2*u + 10 = 0, -s*u + 11 = -5*q - 9 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.02 and -430?\nAnswer: -8.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-5117)\/21)\/(2\/6). Let d = y - -121. What is d rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39335 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 17*f - 3. Let h = -236 - -236. Suppose 0*w + 6*w - 12 = h. Give d(w).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 24\/30*4\/(16\/(-30))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 78 or 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -58*t = 5217 - 5623 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 23 - (-3 + (6 - -8))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q - 10 = -133*o + 137*o + 18, -5*o - 22 = -o - 2*q for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -133\/827354?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*m**2 + 3*m**2 - 2*m**2)*(19 + 42 + 16).\nAnswer: -154*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 157127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.641482 centuries to decades.\nAnswer: 46.41482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.5 and -28138417393123.\nAnswer: -28138417393122.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -14739*d**2 + 9978. Let h(f) = 29478*f**2 - 19861. Let i(p) = -6*h(p) - 13*l(p). Find the first derivative of i(y) wrt y.\nAnswer: 29478*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(21) - sqrt(21)*-2)*-2)\/(6*sqrt(35)\/sqrt(5)).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 182490795.\nAnswer: 3, 5, 41, 98911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-137798)\/6 + -4 + (-8)\/12. Let h = 59630 + i. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -405, -875, -1403, -1989, -2633, -3335?\nAnswer: -4095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 118157074.\nAnswer: 2, 7, 8439791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*n**4 + 9918*n**3 + 9921*n**2.\nAnswer: -3*n**2*(n - 3307)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 15 = 4*c, 5*c - 6*z - 25 = -z. Suppose -7*l + 2*l + 1 = 2*w, 3*w - 12 = 3*l. Suppose 20 = 5*a + 3*f, w*f = -3*a + 8*f - 22. Are c and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 344.5374 nanometers in micrometers?\nAnswer: 0.3445374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -323618, -2, -4 in increasing order.\nAnswer: -323618, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hhhilhoulhhu. Give prob of picking 2 u.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/(-6))\/((-84)\/56*2\/3).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = 2, -2*g = 3*g - 3*c - 17. Sort -10, g, -8, -3.\nAnswer: -10, -8, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 5\/17540432 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/13*2 - (40\/364)\/(1\/56)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 11 - -1257034?\nAnswer: 1257045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -2b9aa8 (base 12) in base 5?\nAnswer: -142233010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 233*d**3 - 2231*d**2 + 6043677 wrt d?\nAnswer: 699*d**2 - 4462*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6 + -1. Let b be (-3)\/(-14) + (-11)\/22. What is the smallest value in t, -3\/4, b?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -55*c - 717. What is h(-13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) be the first derivative of a**7\/280 + a**6\/180 - 2*a**3\/3 - 17*a**2 - 86. Let y(j) be the third derivative of v(j). Suppose 4*i + 11 = 3. Give y(i).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 6, c: 1, t: 3, b: 4, y: 3, o: 1}. Give prob of sequence bbw.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 16 + (-5)\/(10\/8). Suppose 2*l = l + n. Let f(k) = k + 21. What is the remainder when f(0) is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12)\/5*(-115 - (72 - 197)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 66 is divided by 25.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 2466823 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - 1 = -21. Suppose 2*n + 3 = -c. What is the remainder when (-1 - -2) + (-64)\/n is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -177.2 + 172.2. What is the closest to -2 in -2, a, -2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b - b - 9 + 8 = 4*g + 10, g - 4 = 6*b + 15 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:13 AM and 8:45 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = 3*a + 5*s, 123*a - 121*a = -2*s - 4 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1 + (1 - -1) + 0. Suppose -2*u - 3*a = 4, 99 = u + 4*a + 111. Solve -v*z - u = -16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, -1\/553, 0.3 in descending order.\nAnswer: 0.3, 0.1, -1\/553","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -3*g + 4. Let c(z) = 11*z - 17. What is -2*c(b) - 9*o(b)?\nAnswer: 5*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, 87, 0.4, -3087.\nAnswer: -3087, -0.5, 0.4, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(65) + 4*sqrt(65) + sqrt(65))*3)\/sqrt(1125))**2.\nAnswer: 468\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 428 minutes after 12:44 AM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 41631637*s - 41631637*s + 10*s**3 + 4 - 8*s**2.\nAnswer: 10*s**3 - 8*s**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 598222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.1 + -0.09. Let r be 19 - (-23)\/(368\/(-296)). Which is the nearest to -2\/5?  (a) -4  (b) r  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 539 minutes after 4:47 AM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 3*i**3 - 7*i**2 - i + 11. Suppose 3*o + 231 - 21 = 0. Let m = o - -75. What is the units digit of w(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -49 - -54. Let d(s) = -s + 1. Let t(m) = 1. Let r(u) = -d(u) - 5*t(u). Let a be r(10). Put a, 0, -2, k in decreasing order.\nAnswer: k, a, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -a**2 - 8*a + 23. Suppose -s + 32 = -3*z, -60*s + 63*s = 3*z + 48. Calculate o(z).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1.1 + -37.9. Sort 5, v, -1.\nAnswer: v, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 755*h - 755*h - 170*h**3.\nAnswer: -170*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 20\/(-60) + (-228046)\/(-21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 654061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -44 divided by -11\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:11 PM and 10:25 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 18734 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5 - -5. What is the common denominator of -29\/5 and 1 - k - (-5)\/35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + -15 + -6 + 10 + -9 + 9?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 36, 35, 78, 189, 392, 711, 1170, 1793?\n\"Answer: 4*i**3 - 2*i**2 - 23*i + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -15159, -15111, -15031, -14919?\n\"Answer: 16*o**2 - 15175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -j**3 + 2*j**2 + 2*j + 7. Let y be q(0). Suppose -g - 2*u = -80, y*g - 4*g + 4*u = 234. What is the remainder when 194 is divided by g?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (0 - (-6 + -1))\/(-1). Is ((-4)\/((-4)\/v))\/(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 519 = 2*y - 0*y + u, -3*y + 781 = 2*u. Suppose y = 4*a - 159. Calculate the remainder when a is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -7*i**2 + 23*i + 512. Give c(-6).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b\/(b\/(b*b**(15\/4)))*b*b**(2\/53) assuming b is positive.\nAnswer: b**(1227\/212)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -44*v*z**2 - 18*v + 42*z**2 + 6 wrt v?\nAnswer: -44*z**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*r - 3*z + 4, 2*r - 53*z = -48*z - 17 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 7119878023 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that -3*n**2 + 9208104*n + 18416220 = 0.\nAnswer: -2, 3069370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -188 - -184. Sort 20, 0, n in decreasing order.\nAnswer: 20, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3697*r**4 + 8*r**3 + 34*r**2 - 26965832*r wrt r.\nAnswer: 44364*r**2 + 48*r + 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -283, -586, -889?\nAnswer: -1192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -3\/17  (b) -0.1  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4133 is divided by 2253?\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 102202100200 (base 3) to base 15\nAnswer: 48839","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 34, 955, 2488, 4633, 7390, 10759, 14740?\nAnswer: 19333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) be the third derivative of m**5\/60 - 57*m**2 + m. Let f(v) = 75*v + 2. What is f(d(l))?\nAnswer: 75*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1)\/3 + 1 + 444\/(-18). Let a be (8\/h)\/(2\/(-54)). Calculate the greatest common divisor of 99 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2\/15, 0, 3\/5, 0.8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1472*m - 753*m - 546 = 761*m for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 5936*q**2 - 3*q + 5. Let w be g(3). Suppose 3*j - w = -j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-7 - -2) + 40 - 5. What is the highest common divisor of 50 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7806.\nAnswer: 2, 3, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -301003 + 301003.010199862. Let m = 0.0102 - b. What is m rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -3 + (15\/4)\/((-291)\/(-388)). Which is the closest to w?  (a) 0.249  (b) -1  (c) 1\/5  (d) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1d5c7 + 0?\nAnswer: 1d5c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 29 + -829?\nAnswer: -800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2\/9 + -5\/18. Let u = -0.4 - 2.6. What is the closest to 2 in h, u, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**5*r**(1\/3)*(r\/(r*r*r*(r*r\/(r*(((r\/(r*r**(1\/8)))\/r)\/r)\/r))\/r))\/(r**13*r) assuming r is positive.\nAnswer: r**(-331\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 15*n - 3. Let t be h(1). Solve 5*o + t = o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 2*d + 4. Let z(l) = -9*l - 44. Let a be z(-4). Calculate t(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(1\/4)*i*i)**(1\/31)\/(i\/((i\/((i\/((i*i*i**(-4\/7)*i*i)\/i)*i)\/i*i*i))\/i)*i**(-6\/13)))**(-50) assuming i is positive.\nAnswer: i**(292625\/5642)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 204961, 205574, 206189, 206806, 207425?\n\"Answer: b**2 + 610*b + 204350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 96294709 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -123, -121, -103, -63, 5, 107?\n\"Answer: u**3 + 2*u**2 - 11*u - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = d**2. Let k(w) = 21438951*w. What is h(k(i))?\nAnswer: 459628619980401*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/2)\/((-61)\/3904)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 12*q - 23. Calculate the least common multiple of m(7) and 2.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by -181.\nAnswer: -4\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (9 + 185\/(-10))*-6. What is the second derivative of b*r + 366*r**3 - 372*r**3 + 3*r**5 + 67*r wrt r?\nAnswer: 60*r**3 - 36*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 - 37 = -4*x. Suppose -21 = 95*m - 88*m. Sort -1, x, m.\nAnswer: m, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 0\/(-2) - 20\/(-10). What is q in 0*q + m*q**3 + 4 - 2*q - 4*q = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2 - -2e43322?\nAnswer: 2e43324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + sqrt(13) + (sqrt(13) - (-4*sqrt(13) + sqrt(13))*2) + (5*(sqrt(13) + 1 + 5))**2.\nAnswer: 308*sqrt(13) + 1230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (8\/(-6))\/(4 + 1016\/(-252)). Calculate the greatest common factor of 63 and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -117*w = -1626*w + 257*w + 72767 + 82481 for w.\nAnswer: 124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5 - 3 + 2)*(3 + 2 - 2)*(18 - 28 - 12)*(-3*f - f + f) to the form l*f + j and give l.\nAnswer: 792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1528\/15 + (-8)\/(-60). Let w = -99 + i. Calculate the highest common factor of 3 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let f be 16\/2 + (-3)\/3. Suppose f + 13 = 5*d. Does 4 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 43170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 881, 1753, 2623, 3491, 4357?\nAnswer: 5221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eecgewjeg. Give prob of sequence eg.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + sqrt(153) - (-4*sqrt(153))\/sqrt(9).\nAnswer: 4 + 7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-7 + 9 - -1) + 1. Suppose 3*j = -5*k + 4245, 7*k - 5660 = -a*j + 11*k. What are the prime factors of j?\nAnswer: 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**33*o*o\/o**(-1\/4) assuming o is positive.\nAnswer: o**(141\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4255738 is divided by 710?\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 342838 to the power of 1\/2, to the nearest integer?\nAnswer: 586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*c + 2*c - 5*c to the form m + i*c and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 97310217?\nAnswer: 3, 23, 1410293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.024 + 0.581. Round i to two decimal places.\nAnswer: 0.61","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*l**4 + 775*l**3 - 25405*l**2 - 363955*l - 620010.\nAnswer: -5*(l - 83)**2*(l + 2)*(l + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -235, -880, -1949, -3442, -5359, -7700?\n\"Answer: -212*d**2 - 9*d - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*q - 4*q + 5*q)*(-q + 3 - 3) + (4*q - 3*q - 2*q)*(-81 - 10*q + 81).\nAnswer: 11*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -y**3 - 10*y**2 - 2*y - 13. Let m be l(-10). Let i = m + -3. What is the lowest common multiple of 2 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 1 i when two letters picked without replacement from {a: 1, o: 3, u: 1, c: 1, d: 3, i: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-5)\/(-130))\/((-5)\/20).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 1, p: 4, v: 1, w: 2}. What is prob of picking 2 p, 1 r, and 1 w?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3\/4, 4, 0.2, -3, -290?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1917960 a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*y = -10*y - 8. Solve l = -3*p + 10, -l + p = y*p - 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -5 + 6\/2 - -4. Suppose -890 = -c*p - 316. Is 41 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 90 and 229810.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = m**3 - 27*m**2 + 12*m + 52. Give o(27).\nAnswer: 376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 14*a**2 - 4*a + 536. Let g(m) = -37*m**2. Calculate k(g(z)).\nAnswer: 19166*z**4 + 148*z**2 + 536","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s + 8 = f, -5*s = -f + 15 + 8 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 505 - 21 = 8*q + 3*s, 3*s - 130 = -2*q. Solve -q*m + 60*m = 5*v + 16, 0 = -2*m - 2*v - 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1005766185 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 143091340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -8940.94 times 2?\nAnswer: -17881.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -102*t - 174 = -3*t - 12*t. Which is the third smallest value?  (a) -3  (b) -0.1  (c) t  (d) -5  (e) 8\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (104\/(-13))\/(((-24)\/5)\/24)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((2*sqrt(13))**2 + 5).\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from dddddddddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*f**5 - 15*f**4 + 30*f**3 + 25*f**2 - 18*f = 0. What is f?\nAnswer: -9, -1, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -113031 + 4?\nAnswer: -113022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -10432121 (base 5) to base 7\nAnswer: -534341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does -41597 = -41597?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:44 PM and 9:30 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 50649 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = y**2 + 2*y + 3. What is m(4)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-213)\/(-12) - 2\/(-8). Let q = -12 - -12. Solve -5*v + 3*x - p = -x, q = -3*v + 5*x - 16 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2985 - -2985. Solve y = 11*v - 6*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -14 - 27561455?\nAnswer: -27561470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*i + i - 5*a + 15, i + 2*a + 5 = 0. Put 35, 2, i in decreasing order.\nAnswer: 35, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 0 - -131?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 61522338?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/f**2)\/(f*(f*(f*f**(-3\/7))\/f)\/f)*(f*f**(-2\/3)*f*f*f*f)\/(f**7*f*f))**(-25) assuming f is positive.\nAnswer: f**(3275\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 14269588 a multiple of 1940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k**(1\/3))**(2\/51)*k*k\/(k\/(k*(k**(1\/9)\/k)\/k*k))*k**(1\/7)*(k**(2\/9)\/k*k)**(-2\/169)\/(k**(-1\/5))**(-4\/17) assuming k is positive.\nAnswer: k**(1137187\/904995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 91 - 149. Let i = g - -42. Let f = i - -13. What is the second biggest value in f, 4\/5, 0.4, 6?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = -3, 22*j + 5*u + 151 = 26*j. Calculate the remainder when 126 is divided by j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 88 - 472. Let j = k - -383.99999839. What is j rounded to seven dps?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*c - 21 + 21)*(16*c**2 - 9*c**2 - 6*c**2 + 19).\nAnswer: 3*c**3 + 57*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -7745, -7672, -7599, -7526, -7453?\n\"Answer: 73*l - 7818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -66856*0.888.\nAnswer: -59368.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 39 and 15.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand -50*h**5 - 76*h**5 + 93*h**5 + (h**2 + h**2 - 3*h**2)*(h**3 - 3*h**3 + h**3).\nAnswer: -32*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2066 is divided by 449.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2.9 + -2.72. Let r = -0.01 - i. Let f = 1.19 + r. Sort 3, 2\/3, f.\nAnswer: 2\/3, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 22*i - 1 + 3 - 4. Let c be m(2). Let t be 40\/c - 10\/35. Is 2 at most as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1366334?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7735*j + 7732*j + 7717*j + 7745*j + 2 - 38624*j + 7734*j.\nAnswer: 39*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 5\/2*2 + -46. What is the closest to 0 in 1\/5, 2\/17, q?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*m = -72 - 58. Is m a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 take away 7760?\nAnswer: -7759.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 322 minutes before 6:23 PM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 508336849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(2\/9)*l*l*l**7*l)\/(l**(2\/17)\/l**7))\/((l*l**(-2\/9)*l)**(-23)\/(l**(-2))**46) assuming l is positive.\nAnswer: l**(-5203\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 5 = -3. Let q be -2*(-3)\/2*(-4)\/(-6). Solve 3*o = -2*n - q, 3*n = z*o - o - 14 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0 and -1581665?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -82.4 + 82.9. Let i = 2\/21 - -4\/21. Which is the nearest to i?  (a) -0.3  (b) r  (c) 2  (d) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (9\/(-15))\/((-2)\/40*-4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 148255\/563369*(-19)\/(-30)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2969, 5892, 8781, 11636, 14457?\nAnswer: 17244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10*g - 298*g**3 + 10*g)*(11 - 11 - 3*g).\nAnswer: 894*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*x + 6*x**2 - 73*x**2 + 33*x.\nAnswer: -67*x**2 + 50*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = d**3 - 55*d**2 + 12*d - 656. Let n be x(55). Let s(f) = f + 1. Let z(o) = -6*o - 1. Determine n*s(m) + 4*z(m).\nAnswer: -20*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 425 (base 6) to base 7\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2 + 515?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -7*j**2 + 9*j + 4*j**2 - 5 + 3*j**2 - j**2. Let g be y(8). Solve -3*r = -0 - g for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.2 + -0.1. Let a(l) be the first derivative of -l**2\/2 + 15*l - 57. Let w be a(14). Is w >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 0.739204ng?\nAnswer: 0.000000000000739204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g = q, 3*g - 3*q + 14 = -q for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.4 - -0.0885.\nAnswer: 0.4885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1260 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -j**3 - 5*j**2 + j - 5. Let i be c(-5). Let b be (i - -4)\/(2\/6). Let k = -6 - b. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5 - 322055?\nAnswer: -322104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*h - y = 8*h + 34, -7*y - 35 = 0 for h.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1590995, 3, -1.\nAnswer: -1590995, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1 + 3. Suppose 84 = 4*w - z*w. Is w a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -409*o**2 + 188*o - 293*o**2 + 565*o**2 - 4 wrt o?\nAnswer: -274","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + i - 5*i = 5, 1 = -y + 4*i. Suppose -2*a + 41 = y*j, -a + 6 = 2*j - 20. Suppose 23 = 2*h - j. List the prime factors of h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = f. Let o(w) = -w. Let a(b) = -2*d(b) - 3*o(b). What is the smallest common multiple of 22 and a(2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 5*l = -103, l = -o - 3*l + 31. Calculate the least common multiple of o and 18.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1 by 111.\nAnswer: 1\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 12\/5?  (a) -4  (b) 7\/11  (c) 0.3  (d) -0.0854  (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 32*m**2 - 1082*m - 9. Let i(a) = -15*a**2 + 541*a + 4. Calculate -13*i(g) - 6*z(g).\nAnswer: 3*g**2 - 541*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out -6.16 * 12721.\nAnswer: -78361.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (0 + 2 + -4)*(-8 - -7)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 345 minutes after 8:35 PM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34354*q - 34364*q = -133370. List the prime factors of q.\nAnswer: 13337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49*q + 1296 = -37*q. Factor -q*t**2 + 30*t**4 - 3*t - 7*t + 19*t**4 - 168*t**3 - 6*t.\nAnswer: t*(t - 4)*(7*t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z**3 - 42*z**2 + 132*z - 120 = 0. What is z?\nAnswer: 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5\/339321901 or 1?\nAnswer: -5\/339321901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5789227367 to the nearest integer?\nAnswer: 76087","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 133*a = 130*a + 348. Calculate the greatest common factor of a and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -332 + 233. Let c = j - -125. Does 13 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 93094063.71 rounded to the nearest 1000?\nAnswer: 93094000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 2*t - 20 = -c, 12 = 3*t. Suppose 59 = 5*q - c*x, 5*q + 0*q = 5*x + 55. What is the remainder when 26 is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*f - 3*f = 16, 3*q = -2*f + 122. Calculate the common denominator of 60\/(-8)*(-3)\/(-10) and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence epsf when four letters picked without replacement from {e: 2, p: 1, w: 1, f: 1, s: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -38 + 78. Let s(p) = -p**2 - 9*p + 3. Let y be s(-9). Suppose -y*f + d = -f. What is the highest common factor of 80 and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1547*q = -7*z + 1551*q - 558, 0 = 20*q + 80 for z.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 21 = -2*c, y + 2 + 12 = -3*c. Let a(t) = t**2 - 4. Let u(f) = -2*f**2 - f + 9. Let w(n) = 5*a(n) + 2*u(n). What are the prime factors of w(y)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 66245686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = r - 1. Let m be l(0). Let x = 0.033 + -1.693. Let i = x - 0.34. Which is the closest to -1\/2?  (a) -0.5  (b) i  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 36 (base 10) in base 16?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -16801 + 16796. Let z = 0.003 + 20.997. Which is smaller: x or z?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 379144 and 664.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 28 and 31096?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6361415 is divided by 6960.\nAnswer: 6935","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*a**2*f*i**2 - 7*a**2*f + 53*a**2*i**2 + 3*a**2 - 4*i**2 wrt f?\nAnswer: -2*a**2*i**2 - 7*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 - (-4 - (-7 + (-4 - -10) - 0))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 187755?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -40419, -80826, -121231, -161634, -202035?\n\"Answer: p**2 - 40410*p - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 70457\/21 + -3355. Let y(l) be the third derivative of -3\/70*l**5 - 1\/12*l**4 + 0*l - 1\/735*l**7 + 0 - 1\/84*l**6 - v*l**3 - 4*l**2. Factor y(u).\nAnswer: -2*(u + 1)**3*(u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:48 AM and 10:15 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 3, x: 5, b: 1, d: 5, n: 1}. What is prob of sequence nx?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -16685 - -19236.6. Round q to the nearest ten.\nAnswer: 2550","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-8)\/(-60)*-2*15\/(-6)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 = -5*c - 3*g, 3*g - 2 = 5*c - 3. Let z(y) = -2*y**2 + y**c - 1 - 13*y + 6. Is z(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -525*p - 503*p + 1000*p in the form h*p + w and give h.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 445 = -b + 6*b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -119*u + 173 - 30 + 95 = 0. Let r = 2 + 5. Let m = -24 - -24. Sort m, u, r.\nAnswer: m, u, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3336, -1, 3, 108, 4 in increasing order.\nAnswer: -3336, -1, 3, 4, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 1685026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -x**2 + 5. Determine i(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*(k*k\/(k*k**(-2))*k)\/k)\/(k*k**(-2\/3))*k**(3\/8)*k*k\/(((k*k**8*k)\/k*k)\/k)*k assuming k is positive.\nAnswer: k**(-47\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -12*63\/42*(-2)\/9*(-102)\/(-952)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2.1 + 2.1. Which is the third biggest value?  (a) 4\/7  (b) y  (c) -1  (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -36\/55 - -2509\/220. Factor 73\/4*w**3 + 11\/4*w + 1\/4 + p*w**2 + 4*w**5 + 14*w**4.\nAnswer: (w + 1)**3*(4*w + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20635.12 litres to millilitres.\nAnswer: 20635120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -1103 * -4422\nAnswer: 4877466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 263.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -144586.893 - -144332. Let r = i - -255. Let s = -0.043 - r. Sort s, -2, 0.2 in increasing order.\nAnswer: -2, s, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1423 or -29?\nAnswer: -1423","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 100155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 85 a factor of 686991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = w**2 + 1. Let n be y(-1). Suppose 3*o + 2*t - 11 = n*o, 3*o - 29 = -5*t. Is 7\/2 at most o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 513\/(-2376)*(-17)\/323.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*h**2 - 2*h**2 - h**2)*(-1 + 1 - h**3) - 5*h + 5*h**5 + 5*h - 15 + 8 + 0 + 2*h**5.\nAnswer: 8*h**5 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2255616 and 2688.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 15229535 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 51*(-4)\/(-36)*-3. Suppose -24 + 89 = -5*j. What is the common denominator of -7\/13 and (j - g)*26\/(-28)?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 91 - 157. Let p = 430 - 3013\/7. Which is the second biggest value?  (a) p  (b) v  (c) 0.5  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5\/10)\/(2\/(-3)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -538, -540, -542, -544?\n\"Answer: -2*k - 536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 9*z - 6. Let a(m) = 10*m - 7. Let o(l) = -6*a(l) + 7*r(l). Let h(g) = 18*g**2. Determine h(o(v)).\nAnswer: 162*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -146*b**3 + 3*b**4 + 1252*b + 170*b**3 + 33*b**2 - 1312*b.\nAnswer: 3*b*(b - 1)*(b + 4)*(b + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (1\/(-1))\/((-3)\/(-7086225)). Let z = 977925 - i. What is z rounded to the nearest 100000?\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6294 = 4*w - 4798. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2766 - -2766. Let h(n) be the third derivative of 0*n + 0*n**4 - 7\/30*n**5 + w - n**2 + 0*n**3. Let q(i) = -i. Calculate q(h(x)).\nAnswer: 14*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1028*w + 1403*w + 31 + 60 wrt w.\nAnswer: 375","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*q = -1944 - 492. Is q greater than 174?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - 69 + 77 = 0. Solve 4*z = m + 9, 2*m = 5*m + k*z - 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.4, -4, -2\/609, 4, -1\/3, 0.2?\nAnswer: -2\/609","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*z + 9 = -11 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l = -9*l - 6558 + 6327 for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) be the second derivative of -z**6\/20 - 3*z**5\/20 + z**3\/2 + 3*z**2\/4 + 2*z. Factor i(u).\nAnswer: -3*(u - 1)*(u + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 100 - 104. Let s be 2 - l - (14 - 14). Let z(r) = 2*r - 10. Give z(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 16 - 6 = 0. Suppose p - 3 = -4*o, -p - o - k = -5. Suppose -p*q = 2111 - 15311. Round q to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 371\/4 - (-3)\/12. Let t be (m\/12)\/1*8. Let u = t + -30. Calculate the remainder when 93 is divided by u.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 533*l**2 - 235*l + 285. Is h(22) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) be the third derivative of -x**4\/12 + 5*x**3\/6 - 8*x**2 - 4. Calculate r(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.033*84.9.\nAnswer: -2.8017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*a**4 - 8*a**3 + 12*a**2 = 0. Calculate a.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (2 - 6)*(-1965)\/6. Let w = q + -486. Let d = -358 + w. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -2*n. Let s(u) = 8*u + 6. Let g(z) = -1. Let h(f) = -6*g(f) - s(f). Give h(c(i)).\nAnswer: 16*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 13 - (11011\/(-66))\/(-13)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5812 is divided by 1410.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i*i**(-2)\/i*i**(-1\/4)\/i*(i\/(i*i**0)*i)**(1\/2)*((i*i**(-2))**(-2\/49))**(-16\/3) assuming i is positive.\nAnswer: i**(-1745\/588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (-40)\/(-15) + 2\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - 10) + -5 - (-4 + (9 - 0))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 25052 - 17955. Is w a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 24254719 or 24254716?\nAnswer: 24254719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -217 + 225. What is the highest common divisor of 1 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2353832 is divided by 273.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3832581?\nAnswer: 3, 59, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 180 is divided by 28?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 286354844 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1481 + -508. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3*(-8)\/(-18)*3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.001294094 to four dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 78055 and 1062955?\nAnswer: 247668515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let -14*v**2 - 24*v + 54 = 0. Calculate v.\nAnswer: -3, 9\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3\/17 + 25\/51. Put z, 1, -5 in decreasing order.\nAnswer: 1, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 86*k**3*w - k**3 - 10242*k**2*w - 2*k*w - 1836*k + 2*w + 1 wrt k.\nAnswer: 516*k*w - 6*k - 20484*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -80 or -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 3, y: 12}. Give prob of picking 3 y.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -182 - 138168035893.\nAnswer: -138168036075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.02978 and -0.483.\nAnswer: -0.51278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -141, -1346, -48 in decreasing order.\nAnswer: -48, -141, -1346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 4 (base 14) to base 7\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.8 and -0.69?\nAnswer: -0.552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 9785218379 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12)\/(0 + -2) - 32\/(-832)*-130?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 9, -118, -375, -762, -1279?\nAnswer: -1926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 89 and 16.734.\nAnswer: 1489.326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.353168 years in months?\nAnswer: 100.238016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 6257 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ysj when three letters picked without replacement from {s: 2, u: 2, y: 1, j: 3, h: 4, m: 2}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 3*s**2 - 440*s + 2846. Determine x(127).\nAnswer: -4647","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.696 - 0.296. Which is the nearest to 2\/5?  (a) j  (b) 0.3  (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(10) - (3*sqrt(810) + sqrt(810)))\/sqrt(5))**2 + ((sqrt(2) - sqrt(2)*1) + -4 - (sqrt(8) + -2 - sqrt(2))).\nAnswer: -sqrt(2) + 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 98671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 4*b - 24 = 0, 7 = -y + 2*b + 3. Let a be (-6)\/24 - (1\/2 + -1). Let c be (14\/(-4) + 4)*-2. What is the smallest value in c, a, y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1715*u**6 + 29*u**3 - 1460*u**2 - u?\nAnswer: 205800*u**3 + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 27*r - 202. Give f(8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 4728343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 267 = -30. Let j = 391\/4 + d. Suppose 2*t = -h + 7*t - 9, 0 = -3*h + t + 1. Which is the closest to -0.1?  (a) j  (b) -0.1  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 22*n - 162. Let o be i(8). Suppose o*u - 15098 = -3730. Does 58 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1 and -37.1.\nAnswer: -37.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:16 AM and 5:04 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 48 - -302. Let u = -351.92 + n. What is u rounded to 0 dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -w**2 + 6*w - 5. Let q be u(5). Suppose 5*z + 382491 + 667509 = q. Round z to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 30813?\nAnswer: 3, 10271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-12)\/(-10))\/((-63)\/(-210)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9925187 rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 618721*k - k**3 + k**2 + 0*k**4 - 618517*k - 5*k**4 in the form a*k**2 + p*k**3 + q + x*k + m*k**4 and give x.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:59 AM and 4:58 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -15 (base 6) to base 11.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -j + 44. Calculate the remainder when m(23) is divided by (-2 + 0)*22\/(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 129.7 - 129.6. What is the third smallest value in 2\/47, -0.5, 1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) be the second derivative of -d**3\/6 + 3*d**2\/2 - d - 1. Let a(w) = -4*w + 11. Let o(u) = -6*a(u) + 22*s(u). Let t(z) = -3 + 3 - 8*z. Determine o(t(i)).\nAnswer: -16*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i + 6*i - 16 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-72)\/964800*-67*8?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 - ((1 - 1) + 7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -47*u = -44*u - 57. What is the remainder when 45 is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -15.01 - -0.01. Let z = i - -14. Let s be (-36)\/32 - -1 - 2\/8. Which is the second smallest value?  (a) s  (b) z  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/6657486 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 14 + -71\/5. Let b = 11.9 + -12. Put b, -3, q in decreasing order.\nAnswer: b, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -1. Suppose 5*h = 4*t - 0 - 7, t - h - 1 = 0. Let y = 1 + 9. Let n(b) = -5 + 5 - b - 5. What is t*n(z) + y*x(z)?\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 244\/15 or 16?\nAnswer: 244\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 5491 = 43917\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -96 divided by -24\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 23*f - 6. Suppose -497*d + 500*d - 18 = 0. Let p(r) = -116*r + 29. Give d*p(y) + 29*x(y).\nAnswer: -29*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + ((sqrt(25) + sqrt(625))\/sqrt(5) - (2 + 1 + sqrt(5))) + (sqrt(240)\/(sqrt(12)\/sqrt(2)))\/(-5*(sqrt(288) + sqrt(8))).\nAnswer: 2 + 174*sqrt(5)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = -u + 646, 2*u + 3*l + 2*l - 1304 = 0. Let j = u + -105. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 1157, 5, 2.\nAnswer: -5, 2, 5, 1157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -2446, 8, 6 in increasing order.\nAnswer: -2446, 3, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 738 = 5*l - 3*m, -736 = -3*l + m. Let d = 102 + l. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -445565*a**3 - 2*a**2 - 3*a + 17323422?\nAnswer: -1336695*a**2 - 4*a - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -277, -2243, -7595, -18031, -35249, -60947, -96823?\n\"Answer: -283*b**3 + 5*b**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 43737834.\nAnswer: 2, 3, 7, 383, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide 249 by 26777.\nAnswer: 249\/26777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (396\/77 - 6)\/(1 - (-99522)\/(-99519)).\nAnswer: 2, 3, 7, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 9868*q**2. Let t(g) = -3*g. Calculate t(c(x)).\nAnswer: -29604*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -536  (b) 0.3  (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3499 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 148*h**3 + 154*h**3 - 305*h**3.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -148 + 737\/5. What is the third biggest value in u, -39, 0.5?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -w**3 + 1. Let o(t) = 10*t**3 - 4*t - 5. Let j be -10*((-21)\/(-6) - 3). Let g(y) = j*c(y) - o(y). Find the second derivative of g(v) wrt v.\nAnswer: -30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.09 - -0.17. Round o to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(76)*-4)\/((sqrt(484) - -3*sqrt(484)) + sqrt(484)).\nAnswer: -4*sqrt(19)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/(4\/((-8)\/4))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 281, -1802, -2 in descending order.\nAnswer: 281, -2, -3, -1802","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-76)\/(-18) + (-4)\/18. Suppose -4*d - 236 = -4*u - 7*d, -2*u = g*d - 118. Suppose u = z + 23. Calculate the common denominator of z and 13\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + 2*sqrt(7) - sqrt(14)\/(sqrt(2)*-2))**2*1.\nAnswer: 25*sqrt(7) + 275\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 328 + -328. Let o(c) be the third derivative of 2\/21*c**7 + 0 - 4*c**2 + g*c**4 + 1\/15*c**6 + 0*c**5 + 0*c**3 + 0*c. Factor o(q).\nAnswer: 4*q**3*(5*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-1)*i*i**(-3)*i*i**(1\/7)\/(i\/(i**(-2\/5)*i)))**(-6\/7))**(2\/35) assuming i is positive.\nAnswer: i**(948\/8575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 602*j**2 - 45273 + 45273 - 10085*j**2.\nAnswer: -9483*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3364, -3, -0.2, -13\/5 in ascending order.\nAnswer: -3, -13\/5, -0.2, 3364","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) be the second derivative of -3*j**5\/20 + 4*j**3 + 405*j**2\/2 - 107*j. Differentiate s(d) with respect to d.\nAnswer: -9*d**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 41774999 to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-17)\/51 - (3 + 1)\/(6\/(-47)). Let k(z) be the third derivative of 0 - 1\/60*z**6 - 3\/4*z**4 - j*z**2 + 1\/5*z**5 + 0*z**3 + 0*z. Factor k(r).\nAnswer: -2*r*(r - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -13 + (-3 + 7 - -3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -16\/165 and -19\/49918.\nAnswer: 748770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 303 + -283. Find the common denominator of (-31)\/(-155) - (-926)\/l and -29\/88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/(-3))\/((-8)\/72*(-12)\/8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -5, 1, -11, 38 in descending order.\nAnswer: 38, 3, 1, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 61, 121, 181, 241, 301, 361?\nAnswer: 421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 84*o - 1464 = 631 + 425. Solve -45 = 15*y - 11*y + 5*x, 2*y + 4*x = -o for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d**(-4\/7)*d*d**(2\/3))\/(d*(d*d\/d**(-1)*d)\/d*d\/(d**(-4)*d)) assuming d is positive.\nAnswer: d**(-124\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide -20740 by -4.\nAnswer: 5185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2 + (-1)\/1*-2. Let y = -2 + d. Suppose -y*a - l - 3*l + 6 = 0, -5*a + 4*l = -71. Is a a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that 2*z**4\/11 - 8*z**3\/11 + 10*z**2\/11 - 4*z\/11 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 4518027.012 to the nearest 100.\nAnswer: 4518000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(21)\/(sqrt(7)*-2) - (sqrt(363) + 0).\nAnswer: -23*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3245\/2 + -1614. Is 21 smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1008)*1 - 3*sqrt(175) - -3*(sqrt(14)\/sqrt(2) + -3))**2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 3136157.95 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 42 and 1139796?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -4877078 > -4877076?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 71660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 49334 - 7?\nAnswer: 4932b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 658983 - -1264\nAnswer: 660247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = o**3 - 11*o**2 + 25*o + 9. Let u be d(8). Suppose -30*p + u*p + 26 = 0. Solve 7 = -b + p for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -282, -290, -302, -318, -338, -362?\n\"Answer: -2*j**2 - 2*j - 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 409239 is divided by 285.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 2*d + 4*d = -3331, -2*w + 3*d - 6676 = 0. Let j = w + 40087\/12. What is the common denominator of -63\/20 and j?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(-1\/4)*z)\/z)**(-7\/5)*z\/(z*z**(-1))*z**(-4\/7)\/z assuming z is positive.\nAnswer: z**(-31\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*r + 0*r - r = 77 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.8 + 1.2. Let y = m - 1. Which is smaller: y or 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5630599229 to the nearest integer?\nAnswer: 75037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 33*r + 14 = -35*r, -4*r = -5*v + 33. Let c(l) = -l**2 + 58*l - 829. Let q(d) = -2. Let n(t) = v*c(t) + 30*q(t). Let n(x) = 0. What is x?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/16 of a tonne in grams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 39971 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-19)\/4 - 4\/16. Let w = k - -25. Solve 0 = -0*r + 4*r + w for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -5581081.8 to the nearest 100.\nAnswer: -5581100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that 4*i**2 + 17463784*i + 19061484474916 = 0.\nAnswer: -2182973","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -58130*0.3.\nAnswer: -17439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that 206*k**3\/11 + 831418*k**2\/11 + 76264256*k + 8144648\/11 = 0.\nAnswer: -2018, -1\/103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -323*p - 2. Let f(u) = -515*u - 3. Let a(b) = 5*f(b) - 8*h(b). Let x(g) = 6*g. Determine a(x(r)).\nAnswer: 54*r + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 3  (b) 1\/9  (c) -1998  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h**4\/2 - 27*h**3\/2 + 30*h**2 - 18*h = 0.\nAnswer: 0, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-51)\/((3\/2)\/(-1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 27\/59675 and 23\/85250.\nAnswer: 596750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/(-8)*3469224\/(-66) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t = -33*t - 14*t - 132 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) be the second derivative of 0*m**2 + 0 - 2\/3*m**3 - 3*m. Does 4 divide k(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -c**2 - 2*c - 2. Let y be u(7). Let r = y + 114. What is the remainder when r is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 28108 + -28103. Solve -4*k - q*x = 14, 5*k + 4 + 3 = -x for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -7671 at most 6156?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -117 - 122 + 58*p**2 + 355 - 3*p - 116 - 3*p**3 to the form o*p**3 + f*p + a*p**2 + x and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 616 minutes after 8:38 PM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 12 = 5*g, 5*z = 2*z + 3. Factor -f**3 - g*f**4 - 4*f**2 - f**3 - 3*f**3 - f.\nAnswer: -f*(f + 1)**2*(2*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = t**2 + 4*t - 9. Let b be a(-6). Factor b*i + 6*i**2 - 6*i**4 + 3*i**5 - 11*i + 5*i.\nAnswer: 3*i*(i - 1)**3*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y - 8 + 3 = 0. Suppose 2*g - 10 = -4. Let b be 1\/2 - 2\/g. What is the closest to y in 2\/9, -3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -h**2 - h. Let y = 58 - 59. Let p(t) = -t**3 + t**2 - t. What is y*f(j) + p(j)?\nAnswer: -j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 67\/5 + (-1)\/(10\/4). Calculate the greatest common factor of 26 and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3  (b) 2  (c) 22  (d) -3.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 5  (b) -3\/28  (c) -2\/3  (d) 4  (e) -5\/4  (f) 2207\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 69, 58, 31, -18, -95, -206, -357, -554?\n\"Answer: -b**3 - 2*b**2 + 2*b + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10010213002 (base 4) to base 14.\nAnswer: 1db030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -j**2 - 9*j - 8. Suppose 4*q = -5 + 45. Suppose -q*t - 99 = t. Determine n(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 14*(-14)\/(2156\/(-55)) - (1 - 135). What is the highest common factor of 31831 and q?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (20 - 35) + 3 + 9 + -4 + -31?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 10*m - 4. Let c be g(2). Suppose 3*z - 4*z = 4. Let f = 6 + z. Solve f*j = -2*j - c for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 187*w**2 - 34*w. Let d be 5\/30 - -2*(-136)\/(-96). Let v(g) = 17*g**2 - 3*g. Determine d*i(n) - 34*v(n).\nAnswer: -17*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 2132211 (base 9) to base 12\nAnswer: 471724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b = -2*i + 8, 114*b + 34 = 6*i + 110*b for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -415 + -0.5.\nAnswer: -415.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3750038?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kmkh. What is prob of sequence hmk?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.302 - 63.802. Let t = 0.5 + g. Let a = -62.999953 - t. What is a rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -4*t**2 - 361*t + 102. Let m(x) = -7*x**2 - 604*x + 205. Calculate 3*m(i) - 5*v(i).\nAnswer: -i**2 - 7*i + 105","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 55 by 3.\nAnswer: 55\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) be the third derivative of q**8\/168 + q**5\/15 + 2*q**2. What is the third derivative of i(m) wrt m?\nAnswer: 120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 * 4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d**4\/8 - 4*d**3 + 13*d**2\/2 + 6*d = 0 for d.\nAnswer: -12, -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -41*u + 203. Calculate b(12).\nAnswer: -289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.3 + -10.7. Let l = u - -8. Let s = l - -3.1. What is the third biggest value in s, 1\/4, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 34610533 (base 8) to base 14.\nAnswer: 10042cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 12350225 and 3075?\nAnswer: 1025","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q = -6 - 6. Let v = 8 - 5. Suppose 21 = 3*f + 3*c, -2*f + 0*c = -v*c + 6. Solve 4*k + 12 - 4 = q*x, 0 = -5*k + f*x - 13 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 284*u - 735 = 3309 + 1352 for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*s - 688 = 896. Calculate the greatest common divisor of 88 and s.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:25 AM and 7:46 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*c - 3*c**2 + 0*c)*(2*c + 4*c - 3*c) + (-4*c + 0 + 0)*(-7*c**2 - 3*c**2 + c**2) to the form z*c + n*c**2 + a + i*c**3 and give i.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 34.79 - 37.79. Put t, 2, 2\/11, -36 in ascending order.\nAnswer: -36, t, 2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 668521, 668519, 668517, 668515, 668513, 668511?\n\"Answer: -2*n + 668523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 8*z + 49. Suppose -8 = -2*f, -3*f - f = 2*c - 2. What is p(c)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 234\/520*5\/(-3).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4 + 3. Let d = -16 + 26. Let z = k + d. Calculate the greatest common factor of z and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -476418, -953443, -1430468, -1907493, -2384518?\nAnswer: -2861543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 3, e: 1, k: 2, x: 3, q: 9}. What is prob of sequence qxz?\nAnswer: 9\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((m**3 - 5*m**3 + 3*m**3)*(-m + 0*m + 3*m) - 15*m + 14*m**4 + 15*m + (0*m + 0*m - m**2)*(m**2 + 3 - 3))*(14*m - 17 + 17).\nAnswer: 154*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is ((3 - -34) + -51 - -17) + -11?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 160\/11  (b) -3\/2  (c) 1.96\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*v - 18 = -12*v. Suppose -v = 3*a + 57. Does 10 divide (4\/(-5) + 0)*a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 16*n + 1. Suppose 0 = -5*u + 378 - 268. Calculate the remainder when x(4) is divided by u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 2*b**3 - 48*b**2 + 214*b - 54. Give q(18).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Are 0 and -4\/1109 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 0 + 0 - 821*g + 818*g. Let t(o) be the third derivative of -o**5\/20 + o**3\/3 + 223*o**2 + o. Give m(t(h)).\nAnswer: 9*h**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 679, 1357, 2035, 2713, 3391?\nAnswer: 4069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 2*t**3 + 4*t**2 + 13*t - 11. Let s be (-14)\/(-3) + (-2)\/(-6). Let x be u(s). Suppose x + 1674 = 2*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = a**3 - 5*a**2 - 5*a - 3. Let d be p(6). Let j(o) = -o. Let y(b) = b**2 + 7*b - 5. Let q be y(-7). Let c be j(q). Sort c, -3, d in descending order.\nAnswer: c, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-7)\/(-21))\/(2\/12). Suppose -w = -5 + d. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/(w*w**1))**(10\/9)*w**(-2\/11)\/w**3)\/((w**(-1))**(2\/49))**(-2\/17) assuming w is positive.\nAnswer: w**(-354421\/82467)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) be the second derivative of -7*j**3 - 13*j**2 - 5*j. Let c be g(-6). Suppose 68 = 3*p - c. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 6\/5, 5, 5\/12, -10?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -18, -44, -74, -108?\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 126559457?\nAnswer: 126559457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -4*f**2 - 7*f - 5. Let v be t(-1). Let d be (v\/40)\/(5\/(-40)). Factor -6\/5*z + d*z**2 + 0.\nAnswer: 2*z*(z - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.803954495 rounded to 3 decimal places?\nAnswer: 1.804","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1)\/((-2)\/18*3). Let v(k) be the first derivative of 1 + 0*k - 1\/3*k**c - 1\/4*k**4 + 0*k**2. What is the third derivative of v(t) wrt t?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 11\/4 of a year?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**2\/2 + 5096728*o - 12988318152992.\nAnswer: -(o - 5096728)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find h, given that -8\/5*h**2 + 6 + 2\/5*h**4 + 1\/5*h**5 + 41\/5*h - 18\/5*h**3 = 0.\nAnswer: -5, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 54 = -2*l - 0. Let j = -141 + 115. Are l and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -k + 5. Suppose -h + 4*a - 7 = -6*h, -5*a = -4*h + 22. Let u be f(h). Find the second derivative of -2*r**2 + 4*r**u - r + 4*r + r wrt r.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-14)\/12*(2 - (7 + 1)). Solve -g = -4*y - 27 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2721, -2745, -2773, -2805, -2841, -2881?\nAnswer: -2925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (53\/(-2))\/((-14)\/252). Suppose s = b - 4*y + 10, -4*y = 5*b - 2335. Calculate the remainder when b is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*h - 22*l + 162, 7*h - 3*l = 8*h - 25 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 9 - 2. Let v = -2 + o. Calculate the highest common factor of v and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*g + s + s - 404, 274 = 2*g - s. Let d = -47 + g. Suppose 3*a = -23 + d. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(1\/2))**41)**26 assuming i is positive.\nAnswer: i**533","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43*x + 15529 = -20806. Does 13 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 42 and 18.2.\nAnswer: 764.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) be the first derivative of k**5\/20 - k**3\/3 - k**2\/2 + 19*k + 166. Let h(l) be the second derivative of n(l). Let d(r) = -r. Calculate h(d(v)).\nAnswer: 3*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express b**3 + 203*b**2 + 131*b**2 + 477*b - 477*b in the form m*b + w*b**2 + j*b**3 + i and give w.\nAnswer: 334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -a + 874*a**2 + 1 + 1 - 18*a + 7*a.\nAnswer: 874*a**2 - 12*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -21\/5921 and -11\/573.\nAnswer: 17763","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -611 divided by 3?\nAnswer: -611\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 117*j**6 + j**4 + 3*j**2 - 295?\nAnswer: 14040*j**3 + 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 3, i: 2, k: 1, v: 6, d: 2, z: 1}. What is prob of sequence dd?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 4251 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 1317, 2614, 3911, 5208?\n\"Answer: 1297*k + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -y**3 - 20*y**2 + 32*y + 73. Let u be c(-22). Let j = u - 332. Is j greater than or equal to -53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 4 - 2)*(-l**2 - 3 + 3) + (10*l + 4*l - 3*l)*(-1174 + 1174 - 55*l).\nAnswer: -604*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 2*r + 2. List the prime factors of m(4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 228 is divided by 53?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -17\/28 and -145\/20485836.\nAnswer: 20485836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -36 + 27. Let q be (-6)\/n*(0 - -3). Solve 5*a - q*a = -9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 93*d + 31*d - 65*d = 706466. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-10)\/3 - (-1 + -2))*6. Let o = b - -12. Sort 0, o, 1, -2 in decreasing order.\nAnswer: o, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 6139521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 394, 4, -5, 1 in increasing order.\nAnswer: -5, 1, 4, 5, 394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -18*a - 18. Let x(c) = c + 1. Let h(o) = 4*j(o) + 60*x(o). Let m be h(-5). Calculate the greatest common factor of m and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from oooooooloololllo. What is prob of picking 2 o and 2 l?\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -5*y**3 - 48*y**2 - 16*y - 91. What is the remainder when 1360 is divided by o(-10)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) be the third derivative of 199*h**4\/24 - 8*h**2 - h. Let m(k) = -8*k**2. What is x(m(u))?\nAnswer: -1592*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Do -1\/10504 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -134 = 16*z - 246 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3465)\/(-27720))\/(2\/848).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 17 by 1.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*k**5 - 7915*k**3 - 43*k + 7913*k**3 + 4*k**2 - 3*k**2 + (0*k + 2*k + 0*k)*(2*k**4 + k**4 - 4*k**4).\nAnswer: -5*k**5 - 2*k**3 + k**2 - 43*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 785203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 2071 divide 10099944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of m**3*t + 76*m**3 + 19*m*t**2 + t**2 wrt t.\nAnswer: m**3 + 38*m*t + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 10975*q**2 - 47*q + 102. What is the thousands digit of n(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 5809, 5814, 5831, 5866, 5925, 6014?\n\"Answer: q**3 - 2*q + 5810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2812.01 - -832609721.\nAnswer: 832606908.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 345572 and 6220296.\nAnswer: 6220296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-3 - (1 - 2)) + 9 + -3. Let p be 0 - (-3 + 4 - -11). Let x be (2\/p)\/((-6)\/24). What is the second biggest value in x, v, 0.06?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5 * -45.9.\nAnswer: -229.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -238014493*l**2 - 4876*l - 37982 wrt l.\nAnswer: -476028986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 116741, 116740, 116739, 116738, 116737, 116736?\n\"Answer: -d + 116742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9963*o**5\/4 + 129521*o**4\/4 - 981349*o**3 + 1813069*o**2 + 364*o = 0. Calculate o.\nAnswer: -28, -2\/9963, 0, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 14839742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 9184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -872 divided by -4.\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 24*g + 162. Determine y(-11).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) be the second derivative of 0*f**2 + 0 + 4\/3*f**3 + 4*f. Let t(i) = 2*i. What is t(l(b))?\nAnswer: 16*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 66 - 45. Let r be (-2)\/(-4) + o\/6. Let g(i) = -2*i - 9. Let t be g(-7). Solve 3*n = t*n + r for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3177249?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 872005?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -164 + 167. Suppose i*r + 28696 = 4*l, 0 = -4*r + 16. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*l**3 - 43*l**2 - 24 + 24*l**2 + 19*l**2 in the form p*l**2 + u + d*l**3 + j*l and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -39 in 5, 2, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2052\/1485 + 4\/(-22) + 78\/(-40). Sort l, 26, -2, 0 in descending order.\nAnswer: 26, 0, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 72112 + 1\/(4 - 231\/55).\nAnswer: 7, 10301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(15)\/(sqrt(3)*3) - (3 + sqrt(405))**2.\nAnswer: -414 - 161*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 306 and 1224.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (4\/6)\/(5\/15). Let v(d) = n*d**2 + 4*d**2 - 4*d**2 + 3*d**2. Let b(p) = -p + 5. Let w(r) = r - 7. Let k(t) = 7*b(t) + 5*w(t). Calculate v(k(m)).\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:48 PM and 6:15 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by 3662104\nAnswer: 5\/3662104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u - 99*t + 103*t - 36 = 0, 5*u = -13*t + 45 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 19\/(-2) + 3\/6. Let x be (4 - (-2 + 1))*1. Let d = x + p. Sort d, 5, 2 in descending order.\nAnswer: 5, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -26*k**3 + 2 - 12*k**2 - 14*k**2 + 243*k**3 + 26*k**2 + 2*k in the form t*k**2 + x*k + j*k**3 + z and give j.\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 997092001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 192 divided by 8\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42996 = 3*u + 3*p, 0*p - 5*p - 28636 = -2*u. Is u\/88 + (-2)\/(-11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 678, 673, 668, 663, 658, 653?\n\"Answer: -5*c + 683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*z + 4*r + 66 + 326, -357 = -4*z - 3*r. Which is bigger: z or 91?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tmw when three letters picked without replacement from tmw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 17 (base 9) to base 8\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 24 + y**2 - 24 - 2*y - 103*y to t*y**2 + a*y + h and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5.7 - -6.08. Let b = l - 0.318. Let i = 0.0620032 - b. What is i rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 1  (b) -0.5  (c) -2.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 109 is divided by 42.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 26\/117 + 35\/(-36). Which is the third biggest value?  (a) 0  (b) 2  (c) s  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -185, -213, -259, -323, -405, -505, -623?\n\"Answer: -9*j**2 - j - 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = -l + 8. Let j be 3\/l*(-2)\/(-3). Which is the closest to j?  (a) -0.2  (b) -4  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -13*i + 81. Let m be n(6). Suppose -m*g - 11 + 278 = 0. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -730959*i + 731112*i - 3060 for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 175540675 + -130563.\nAnswer: 175410112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -23886766*d. Let h(y) = 3*y**2. What is h(i(u))?\nAnswer: 1711732769816268*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/421 in -16, 4, 0.13, 3, -0.4?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1954*h = 1973*h + 152 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5 - 2524112.\nAnswer: -2524107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -24 - -42. Let u = g + -13. Which is the third smallest value?  (a) -4  (b) u  (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -w + 29. Give u(29).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2541*h**6 - 13073*h**2 - 1 wrt h.\nAnswer: 304920*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2 + -2.05. Let z = 7.92 - 8. Let p = z - -0.18. Which is greater: y or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (288\/(-40) - -7)*1. What is the nearest to 2\/11 in g, -0.123, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -2 and -316\/623 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 0 + 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -6b - -6?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**2\/(t\/(t\/(t\/(t**(3\/8)*t))*t))*t*t**(-6)\/t*t*t*t**(-6)*t*t*t)**(-12) assuming t is positive.\nAnswer: t**(87\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11897.\nAnswer: 11897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 21.96502mm in micrometers?\nAnswer: 21965.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = r**2 + 3*r. Let y be u(-4). Let m(f) = -f**3 - 6*f**2 + 6*f. Let b be m(-7). Suppose 2*c = -3 - b. Put -1, c, y in decreasing order.\nAnswer: y, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -6, 2, -1, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -33*v**2 + 4*v - 5*v**2 - 4*v**2 - 2*v + 19 + 41*v**2. What is t(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -5703721*o**5 - 71*o**3 + 1550*o**2 + 47788*o wrt o.\nAnswer: -342223260*o**2 - 426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 148*d = 150*d - 3*c + 39, -11*d + 5*c - 157 = 0 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w + 5 = -4*c - 0, 4*c + 8 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 11262, 23306, 36088, 49608, 63866?\nAnswer: 78862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(153) + 2*(sqrt(153) - -4*sqrt(153) - sqrt(153)))\/sqrt(9).\nAnswer: 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is cbe2 + -29?\nAnswer: cbb8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12 + (-5 - -29 - (0 - 0)) - 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 4*v = 2504, 5*m - 871 = -2*v + 2315. Calculate the highest common divisor of 2 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - 4*a = -31 - 7, -2*n = -2*a + 40. Sort 3, -5, -4, -7, n in decreasing order.\nAnswer: 3, -4, -5, -7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -405*m - 875 + 65 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*c = 10*c + 60. Let a = 63 + c. Suppose a*t - 6 = 2*t. 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: Calculate the lowest common multiple of 1344 and 2.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 95 and 8417.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 71 minutes before 10:26 AM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2 + 7)*(304\/(-10))\/4. Let t be 1\/1 + -84 - 1. Let k = l - t. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) be the first derivative of -2*c**2 + 3*c + 4. Differentiate t(j) wrt j.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 40.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 19856035 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tkgmkkj. What is prob of picking 1 t and 2 k?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -485507 from 37.\nAnswer: 485544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1430 and 1253824?\nAnswer: 6269120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 4 + 2*p**2 - 2*p - p**2 - p**3 + 4*p**2. Let m(u) = u**2 - 14*u - 4. Let t(w) = w - 1. Let x(l) = m(l) + 3*t(l). Let v be x(12). Give g(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4.5273 - -0.4727. Put -2\/51, q, 0.2, -40 in descending order.\nAnswer: q, 0.2, -2\/51, -40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 2*s. Let w(y) = 6*y. Let i(d) = 5*d. Let n(g) = 2*i(g) - 3*w(g). What is h(n(q))?\nAnswer: -16*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:31 PM and 11:32 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -14571667 + 7?\nAnswer: -14571660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -2*1\/5*10 - (-36918)\/6153. Find s such that -63\/5*s**3 + 33\/5*s**l + 51\/5*s**4 + 0 - 3*s**5 - 6\/5*s = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 6217621 - 6217621 + a**2. Let i(n) = -87*n. Let h(d) be the third derivative of 131*d**4\/24 - 2*d**2. Let y(r) = -5*h(r) - 8*i(r). Determine x(y(v)).\nAnswer: 1681*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 738 a factor of 135558054?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 482 minutes after 9:27 PM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(3\/2))**(12\/5) assuming a is positive.\nAnswer: a**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*f + 3*b - 2*b + 29, 0 = -2*b - 8. Suppose 0 = -4*d + 20 - 0. Solve -z + f + 0 = c, -4*c - z = -d for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 8*n**2 + n - 2. Let r(b) = -32*b**2 - 2*b + 7. Let g(s) = -9*a(s) - 2*r(s). Let q(y) = -y**2 - y + 1. Suppose 0*t = t + 5. Give t*q(o) + g(o).\nAnswer: -3*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -28\/13  (b) 7  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2400613986?\nAnswer: 2, 3, 400102331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oiio when four letters picked without replacement from {o: 3, i: 3, x: 8, e: 3}.\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -205 + 237. Suppose -8712 = 21*j - x*j. Is 81 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4\/36779 + -273267942\/257453. Let x = 1056 + h. Find the common denominator of 52\/3 and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17605396.\nAnswer: 2, 23, 31, 6173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 16 - 9. Let h = 973 + 9. Suppose 191 - h = -v*w. Calculate the remainder when w is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 times 76.204?\nAnswer: -914.448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -c**2 + 29*c + 166. Give b(34).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1, 5, 3, -11, -43, -99, -185?\nAnswer: -307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -110 - -118. Let h = -82 - k. Let z = h - -89.9. Which is the second biggest value?  (a) -4  (b) z  (c) 3  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1581 is divided by 619.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the first derivative of t**5\/5 - t**4\/4 + t - 2. Let s(y) be the first derivative of a(y). What is the third derivative of s(k) wrt k?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 23048\/5*m**4 - 187*m - 7396\/5*m**5 - 24793\/5*m**3 + 10051\/5*m**2 + 5.\nAnswer: -(m - 1)**3*(86*m - 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + (2 - -15 - 3) + -3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2715567 and 36.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + j + 23 = 0, -2*j = a + 15 - 2. Suppose 0 = -3*g + 2 + 10, 0 = 2*t - 4*g. Let d = t + a. What is the nearest to -1\/4 in -2\/9, 0.5, d?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 32 = -u. Suppose -5*k - 60 = -3*j, -5*j = 5*k - 44 - u. What is the remainder when 29 is divided by j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) -6  (b) -0.4  (c) 2  (d) -0.056  (e) -1806\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -16, -10\/291, -2 in increasing order.\nAnswer: -16, -2, -10\/291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 32103 is divided by 1276.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide 10704 by 1338.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:10 AM and 11:51 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5 + 0. Let n = 354 + -353.98. Which is the closest to 0?  (a) -0.4  (b) l  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*h**2 - 2624*h - 430336.\nAnswer: -4*(h + 328)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/t**(1\/3)*t)\/t**(2\/5))**(4\/15)*(t*t**0*t)**(-14\/3)\/(t**0*t)**50 assuming t is positive.\nAnswer: t**(-13274\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 156*m - 117*m - 117*m**2 - 39*m.\nAnswer: -117*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 262877870?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 365*p - 340. Let d be z(1). Calculate the greatest common divisor of 780 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + 3*1*sqrt(637)*-6 + (-4*(0 + sqrt(637)))**2 + (1*sqrt(637)*-5)**2 + -2)*2.\nAnswer: -252*sqrt(13) + 52236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 4*a = 19, -t - 1 = a + 4. Let w = 19 + -9. Let j be w*(-3)\/3 - t. Which is smaller: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*p - 2*p - 3*p)*(-3*p**3 + 6*p**3 - 2*p**3) - 2*p**2 + p**4 + 2*p**2 - 11*p**3 + 11*p**3 + 3*p**4.\nAnswer: 5*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(176) - (1*sqrt(176))**2)*-4*2 + -5 - (((-6*(sqrt(176) + 3))**2 - sqrt(176)) + -3 + (sqrt(176) - (sqrt(176) + 1))**2)) + 4.\nAnswer: -5251 - 892*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand a + 0*a + 0*a + (-3 + 1 + 0)*(-2*a + 0*a + 4*a) - 3*a + 0 + 0 + (2 - 2 + 1)*(3*a - a + 0*a) + 2 - 1 + 1 - 5*a.\nAnswer: -9*a + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -4 + 4 + -80 + 59\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 142, 145, 152, 163, 178, 197?\nAnswer: 220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = -2*a - a + 2, -5*s = 3*a + 10. Let n be (-3)\/s - (-1)\/2. Suppose o - 4 = -n*r, 3 = -5*r + 2*o + 22. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 177*w - 248*w + 9514 = 0. What is the remainder when 463 is divided by w?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 208555 and 75990?\nAnswer: 3169618890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -22 - -23.1. Let k = -1 + w. What is the nearest to 2\/3 in -2\/7, -3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*u + 6*u + 286 = 3*s, -s = -2*u - 110. Suppose -s + 17 = -l. What is the greatest common divisor of l and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 15, 27, 3, -87, -273, -585, -1053?\n\"Answer: -5*w**3 + 12*w**2 + 11*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = l - 0*l - 3. Let t(o) = o**2 - 21*o - 26. Let d be t(23). Solve 8*m = l*m - d for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*x + x + 46*x**2 + 147864*x**3 - 147876*x**3 + (3 - 1 - 1)*(-4*x + 4*x + x**3) + 0*x**3 + 4*x**3 - 3*x**3 - 5*x**3 + x**3 + 5*x**3.\nAnswer: -9*x**3 + 46*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (2 - -8)\/(15\/6). Suppose 0 = -3*m - 3*z + 1323, z + 1770 = i*m - z. Is 17 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 3, w: 2, m: 2, k: 3, p: 4, f: 1}. What is prob of picking 1 s and 1 w?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - -11) + (9 + (-8 - -2) - 3).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from yryryryyrrrryrrryyry.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 27 - 27 + 9*k + (3 + 1 - 5)*(9*k + 4*k + 0*k) + k - 3*k + 3*k to h*k + u and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 12833 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 73298.\nAnswer: 2, 67, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o - 36 = 149*j - 146*j, -4*j = -4*o - 8 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h = 11*j - 70, 10*h + 4*h + 11*h - j - 645 = 3*j for h.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.9476 + 0.0524. What is the nearest to p in 4.2, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uts when three letters picked without replacement from utrjstj.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -64 (base 7) to base 2\nAnswer: -101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(1280) + -1)**2 + -3 - (1 + (-2*sqrt(20)*-4 - 3*-2*sqrt(20))).\nAnswer: -60*sqrt(5) + 1281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - p + 24 = -5*p, 4*p = -4. Calculate the common denominator of -103\/28 and (-36)\/(-132)*(-25)\/g.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*d - 9*d - 576. Let b be (d\/180)\/(2\/(-5)). Solve -4*s - 20 = b*q + 3*q, -5*q = -5*s + 20 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -90762, -181522, -272284, -363048?\nAnswer: -453814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2418 and 60?\nAnswer: 24180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -y**2 + 18*y - 69. Let o be k(12). What is the second derivative of -38*h + h**o + 92*h**4 - 9*h - 11*h - 97*h wrt h?\nAnswer: 1104*h**2 + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -375 - -725\/2. What is the common denominator of m and -13\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (7*x + 5*x**3 + 7*x**3 - 14*x**3)*(1 + x - 1) to d*x**3 + q*x**4 + p*x + k*x**2 + m and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 3\/11  (b) 4  (c) -2  (d) 0.149  (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -j**3 - 29*j**2 - 18*j + 11. Give k(-28).\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 245\/1170 - 2\/13. Let a = -4723\/9 - -524. Let m = s - a. Are 0 and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 174 - 170. Suppose 4*n = r - 160, -2*r - h*n = -r - 144. Calculate the greatest common divisor of r and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:50 AM and 6:18 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 0.00355288 + 45\nAnswer: 45.00355288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -2*h - 12. Let j be v(-11). Let g(z) = z**3 - 10*z**2 + z + 2. Is g(j) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*i + 2145 - 4095 = -11*i + 28*i for i.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -14, -8, 8, 40, 94, 176, 292?\n\"Answer: i**3 - i**2 + 2*i - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 120 - 99. Let s(i) = -i**3 + 18*i**2 - 17*i + 1. Let p be s(17). Suppose p - 16 = -3*a. Solve -b - 4 = t, -o = -t - b + a*b for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 79579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2549 - 1294. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (15\/2)\/(-1)*26\/((-3250)\/(-25)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 37 = y, -4*y - 2*d = -2*y - 74. What are the prime factors of y?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -m**2 + 173*m - 672. What is u(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -g**3 + 9*g**2 - 7*g - 12. Determine n(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16058 = -224*j - 10*j - 25*j. Let r = -96 + 590. What is the remainder when r is divided by j?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 34271935 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 723 + -698. Calculate the greatest common factor of o and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1116, -4469, -10050, -17859, -27896, -40161, -54654?\nAnswer: -71375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 15*u - 26. Let b be y(5). Suppose z = -37 + b. Let o(a) = a**2 - 9*a + 7. Calculate the remainder when o(z) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = -0*p + 4*b - 4, b = 3. Let m(s) = s**2 + s - 2. Let f be m(p). Let o = f - -14. Is 14 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -19 + 22 + 15 + (0 - -32).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/((v*v*v*v**3*v)\/v*v)*v)**(-5\/14))**(-4\/25) assuming v is positive.\nAnswer: v**(-2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12160 - 246 = 851*n for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*h**3 + 0*h**3 + 4*h**3 - 8*h**3.\nAnswer: -7*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10 + 12 + 330*j**2 - 2 to h*j + t*j**2 + s and give t.\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0 - -1. Let r be ((-25)\/(-4))\/(q\/4). Suppose 3*u = -2*u + r. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o - 3*f - 4 = -34, -4*f + 26 = 3*o. Find the common denominator of 29\/18 and o\/(-8)*1752\/(-36).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -53.294 from -7905.2.\nAnswer: -7851.906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 9.51324ng?\nAnswer: 0.00000000951324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 160.8 - 164.8. What is the smallest value in -0.3, 28, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2181 + 13*t + 163*t**2 - 2181 - 17*t as v*t**2 + c*t + j and give v.\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -39, -183, -431, -789, -1263?\n\"Answer: -o**3 - 46*o**2 + o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) -0.1  (b) 3\/5  (c) -3  (d) -8\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 140 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -5*f - 1. Determine p(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.858 + -0.142. Put -5\/2, w, -2, 6 in increasing order.\nAnswer: -5\/2, -2, w, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor b**3\/3 + 1956*b**2 + 2869452*b.\nAnswer: b*(b + 2934)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 62985 is divided by 14952.\nAnswer: 3177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -2762616 to the nearest 100000.\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 24258*k**5 - 44*k**2 + 10 + 61*k**2 + 26594*k**5 - 47159*k**5 + 159*k**2 wrt k?\nAnswer: 221580*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26 = -4*w - 3*u, -u = 2*w + 39 - 27 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 662529863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 86659 is divided by 8660?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:15 PM and 12:45 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -bb3 + 3156?\nAnswer: 2163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 72424457.\nAnswer: 7, 10346351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (40\/105)\/(((-312)\/(-91))\/8)\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*s - 3043 + 5*s + 3*s + 5*s.\nAnswer: s - 3043","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -p**2 - 6*p - 3. Let h be z(-5). Let f be (-1)\/2 - (-7)\/2. Suppose -h*c = -1 - f. Solve -3*r = -r - c for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1170, 982, 634, 96, -662, -1670, -2958?\nAnswer: -4556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*k + 5*c = 3*k - 55, 24 = -4*k + c for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -9734536, -77876207, -262832176, -623009593, -1216815608?\nAnswer: -2102657371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 22 + -19. Let i be v*(4 + (-15)\/9). Let p(s) = 2*s. Is 10 a factor of p(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.2, 2848.513, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -46885.238 rounded to the nearest 100?\nAnswer: -46900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 416 - 2921?\nAnswer: -2505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4471*o - 4473*o - h = 75, 2*h + 113 = -3*o for o.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -b**3 - 1. Let l(q) = 4*q**3 + q**2 - 2. Let y(g) = -l(g) + 2*o(g). Let j = -10 - -18. Calculate the remainder when j is divided by y(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 22986377*k**4 - 143441691 wrt k.\nAnswer: 91945508*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -3b40 (base 13) in base 2?\nAnswer: -10000100110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 34135039 bigger than 34135038?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 159.9 - 359.2. Let d = 199 + z. What is the second biggest value in 57, -2\/15, d?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-27)\/(-18) - (-2)\/4. Suppose 2*a + 13 = 5*a - 5*h, 0 = -3*a + 4*h + 11. Suppose -a = -o + i. Solve 8 = -o*z - z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 5, -1\/3044, -219\/8?\nAnswer: -1\/3044","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 12948 and 298800?\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 187, 174, 155, 130, 99, 62, 19?\n\"Answer: -3*h**2 - 4*h + 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3\/8 or 0?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1235554865 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -219\/4 - -55. Let w(l) be the first derivative of 5\/8*l**2 - 1\/4*l + 5\/8*l**4 + 1\/24*l**6 - 5\/6*l**3 - t*l**5 + 3. Factor w(j).\nAnswer: (j - 1)**5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -75 - -135. Suppose j + 2*k + 9 = 27, -4*j + q = 5*k. Suppose 0 = -n - n + j. Is 3 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -982379 + -0.125\nAnswer: -982379.125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) be the second derivative of -2*y**3\/3 + 41*y**2\/2 + 17*y. Let c be b(0). Suppose 0 = 3*u - 7 - c. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -26*x**3 - 7*x**2 - 3*x. Suppose 5*u + n + 5 = 3*n, -10 = 2*n. What are the prime factors of i(u)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 2, d: 4}. What is prob of sequence dfd?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = k. Let j(z) be the first derivative of z**3 - 15*z**2\/2 - 7. Calculate j(b) + 15*p(b).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 60 = 5*z - 2*x, -4*z = 2*x - 22. Find the second derivative of -4*v + 7*v + z*v - 11*v**4 wrt v.\nAnswer: -132*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 6.4 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -0.09+48736.26\nAnswer: 48736.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -68182, -68174, -68166, -68158?\nAnswer: -68150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -111011011011 (base 2) to base 4.\nAnswer: -323123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uplp when four letters picked without replacement from {n: 4, u: 3, o: 2, h: 1, l: 3, p: 3}.\nAnswer: 9\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*c**2 - 4*c**2 + 5*c**2)*(-2*c**2 + 155*c + 4*c**2 - 109*c) as g + o*c**3 + f*c**2 + r*c**4 + m*c and give o.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -712 = 42*x - 7138. What is the least common multiple of 151 and x?\nAnswer: 23103","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1497414 and 1746983?\nAnswer: 10481898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a - 20 = -2*y + 2*a, 0 = -2*a - 10. Suppose -3*u + 0*f - 76 = 2*f, -y*f + 5 = 0. What is the common denominator of (u\/12 - -2)\/((-2)\/(-137)) and 17\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (56\/12)\/(4\/6). Suppose -3*x = -2*x - j. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1  (b) -0.6395  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = -2*d + 4. Let b(v) = 30*v**2 - v + 2. Let j be b(d). Suppose 0 = -j*f + 36*f. Solve w + 2 + 2 = f for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 6*m**2 - 5*m - 5. Suppose 4*u = v - 24, -4*v + 7 - 11 = 4*u. Let k(i) = -5*i**2 + 4*i + 4. Let x = -2 + 7. Determine v*o(c) + x*k(c).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (4\/3)\/((-1)\/(-3)). Suppose 24 = l*b + 4. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*f**3*o*v**3 - 55*f**3*o*v - 67*f**3*v**3 - f**3*v**2 + f**2 wrt o.\nAnswer: 3*f**3*v**3 - 55*f**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 210 + -210.3. Which is the biggest value?  (a) q  (b) 0.04  (c) -3  (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12084 is divided by 482.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 4*j**3 + j**2 - 7*j - 10. Let g = 8 - 13. Let q(z) = 3*z**3 + z**2 - 5*z - 7. Calculate g*n(v) + 7*q(v).\nAnswer: v**3 + 2*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6054402 and 18798.\nAnswer: 1446","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: What is next in -1131, -1131, -1141, -1167, -1215, -1291?\nAnswer: -1401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the first derivative of t**6\/4 + 21*t**5\/10 - 3*t**4 - 843. Factor a(w).\nAnswer: 3*w**3*(w - 1)*(w + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5?  (a) 3\/2  (b) -2\/31  (c) -1\/5  (d) -8.5  (e) 86\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 3 - 5)*(0*k + 6*k - 3*k) + (-2*k - 5 + 5)*(0 + 0 + 2) + 0*k - k + 2*k.\nAnswer: -9*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 19409 - -9254. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -10*g**2 + 16*g - 14. Let h(k) = 9*k**2 - 14*k + 13. Calculate 7*h(l) + 6*q(l).\nAnswer: 3*l**2 - 2*l + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -85\/9909188 and 29\/56.\nAnswer: 138728632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -q + 2*q - 2*b + 8, -2*b = -2*q - 8 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6129297 is divided by 460.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 520.5264 litres?\nAnswer: 520526.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:41 AM and 7:19 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 21 - 35. Let v = 8 + p. Let a = v + 5.999994. Round a to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1, 15, 35, 59, 87?\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -2\/7  (b) -2\/915  (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -73 - -581\/8. Put 2, 5\/6, r in increasing order.\nAnswer: r, 5\/6, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 187646217 and 2267628?\nAnswer: 750584868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand 773*p**3 - 5*p - 775*p**3 - 21*p + 2*p**2 + (-1 - 1 - 1)*(7*p**3 + 15*p**3 - 14*p**3).\nAnswer: -26*p**3 + 2*p**2 - 26*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + -2 + (7 - (5 + 9)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 19*k. Let i(t) be the second derivative of t**4\/12 - t + 37. What is i(z(b))?\nAnswer: 361*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -313\/4 + 74. Let r = -3554 + 14315\/4. Calculate the common denominator of d and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*v**4 - 14*v + 28*v - 16*v - 2 + 2*v**2 to p + n*v**2 + x*v**3 + b*v**4 + s*v and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 462*m + 167670 = -329*m - 1072*m for m.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 18247?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -3 + (0 - 2\/(-2)). Let p be (u - -6) + (3 - 1). Let o be p + 0 + 2 + 0. Calculate the highest common factor of 8 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -15 - -21. Let l be (1 - 2)\/(m\/42). Which is smaller: l or -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -38*y**2 + 5*y - 58*y**2 - y - y - 211*y**2 to l + t*y**2 + x*y and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 588 and 12.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n + 3*p + 15 = 0, -4*p = -3*n - 2*p + 10. Suppose -7*c + 186 + 199 = n. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 103*c - 103*c - c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -8*a - 20. Let d be r(-3). Suppose -3*c - 5 = c + 5*u, 0 = d*c + u - 15. Let f = 4 - 0. Sort 0, f, c in descending order.\nAnswer: c, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2872798 + -4?\nAnswer: -287279c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -8*a**3 - 28 - 4*a**4 + 6*a**3 - 4*a**2 - 2*a**2 + 56 - 32 + 3*a as z + m*a + y*a**2 + w*a**4 + n*a**3 and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2328 and 5044.\nAnswer: 30264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 3\/3442?\nAnswer: 3\/3442","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*w + 28 + 37. Let z be -1 + (5 - -2) - 18. Let g be (-3)\/z - 4568\/(-32). What is the greatest common divisor of g and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7546073 take away 41.8?\nAnswer: -7546114.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 101*b = 139*b. Let q(p) be the second derivative of 0*p**2 - 7\/12*p**4 + 0 + b*p**3 + 6*p + 1\/2*p**5. Find the third derivative of q(l) wrt l.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2646352 + 0?\nAnswer: 2646352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (6\/(-6))\/(2\/(-52))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 8, -2\/11, 0, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -643, -4, -154 in increasing order.\nAnswer: -643, -154, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 486007 and 156293?\nAnswer: 2141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 134 divide 37520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3807?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3.1552 + 19.1552. Let o be (-4)\/(-14) - (-87)\/(-84). Let a = -0.02 + 5.02. What is the biggest value in c, a, o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 3*d = 29, 5*a + 768 = 5*d + 803. Solve 53 = -a*u + 61 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - k = c + 11, 0 = 3*k - 15. Let q(l) = l**2 - 7*l - 4. Let t be q(c). Suppose -t*r + 87 = -r. List the prime factors of r.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = n - 5*j, n - j - 2 = 3*j. What is the remainder when 4 is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 300 - 285 = -z, z - s + 7 = 0. Which is greater: 3\/799 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1620, 3, 1\/9, 2\/7, -1\/2, -0.1 in decreasing order.\nAnswer: 3, 2\/7, 1\/9, -0.1, -1\/2, -1620","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 327, 651, 973, 1293, 1611?\n\"Answer: -j**2 + 327*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*u + g + 6, 0 = 8*u - 10*u + g - 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (37 - 66) + 8 + (35 - 12)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 43 - 29 = 0. Let q be (-1)\/3 + 42\/g. Suppose 3 + 41 = q*d + 2*o, -4*o = -8. What is the least common multiple of 6 and d?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -154\/3 + 643\/12. Solve -g*t**5 - 3\/4*t**4 + 1\/4 - 5\/4*t + 1\/2*t**2 + 7\/2*t**3 = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 2*k - 2. Let r(d) = d**2 - 16*d + 18. Let p be r(15). Determine s(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in 2, 2\/21, -14, 24, 0?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*q = -21133 - 5669. List the prime factors of q.\nAnswer: 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 320, 1283, 2886, 5129?\nAnswer: 8012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -189.7 - -177. Let v = 9.7 + t. Let m = -12 + 7. Which is the second smallest value?  (a) m  (b) v  (c) -0.3  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -102, -204, -492, -1062, -2010?\n\"Answer: -16*y**3 + 3*y**2 + y - 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 507643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*q - 5*g + 61, -q + 5*g = 3*g - 35. What is the highest common divisor of 9 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 k when two letters picked without replacement from {g: 1, z: 2, e: 14, k: 1, q: 2}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -142 or 369142?\nAnswer: -142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -13, -13, -21, -43, -85, -153?\nAnswer: -253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 80*c**2 - c. List the prime factors of q(1).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from eeeeeeeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 747 + -738. Let x = -8 - -6. Which is the second smallest value?  (a) -0.1  (b) h  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.97868 centuries in months?\nAnswer: 9574.416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(-5*(2*sqrt(187) - sqrt(187)) + (2*sqrt(187) - sqrt(187))*6)\/(sqrt(33)\/(sqrt(33)\/(sqrt(11)*-1)))*-3)**2.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -13, -52, -101, -160, -229, -308?\nAnswer: -397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) be the third derivative of -c**6\/120 - c**5\/30 + c**4\/8 + 2*c**3\/3 + c**2. Let b be d(-3). Factor -7*h**3 - 2*h**5 + 7*h**b + h**4 - h**3.\nAnswer: -2*h**3*(h - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 3340 and -3299738?\nAnswer: 3303078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -1, -6, -7, -5, 4, 5 in increasing order.\nAnswer: -7, -6, -5, -4, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1878404 + 1?\nAnswer: -1878403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 36 and 7252.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 139 a factor of 23961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 38 - (53 - (-55 + 54)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3 + -11. Let f = g - -11. Suppose 0 = 2*w + 2*v - 0*v - 32, 48 = 5*w - f*v. Calculate the greatest common factor of w and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -5\/732282?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 146.6 + -147. Let o be (-11)\/(-15) + (-4)\/10. Which is the closest to 2\/29?  (a) -3  (b) p  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.03272 + 0.04728. Which is the second biggest value?  (a) 2  (b) 45  (c) 1\/4  (d) -2\/3  (e) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 3.46 and 8 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 799413 is divided by 1253.\nAnswer: 1252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (37*l - 20*l + 27*l)*(1 + l**4 - 1 - 4 + 4 + 2*l**4 + (-4 + 5 - 3)*(-4*l**4 + 3*l**4 - l**4) + 2*l**4 - l**4 + 0*l**4 + 2*l**4 - 2*l**4 - l**4).\nAnswer: 308*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 2012?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 23 + -33 + (-77 - (-6 - -8) - (1 + 5))?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) be the second derivative of 5*m**4\/3 + 65*m**3\/6 + 5*m**2\/2 - 250*m. What is the tens digit of u(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -17 (base 16) to base 15.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 5*y**2 + 5*y. Let n be m(-4). Suppose p + 12 = 2*p. Calculate the greatest common divisor of n and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21355074509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 383567 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -3*g**2 + 7*g - 4. Let u(l) = -l + 1. Suppose 4*n + 3*y = 6*n - 7, -3*y - 5 = -4*n. Let j(x) = n*v(x) - 5*u(x). Calculate j(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = -5*n + 4*k, 4*n + 9 = 4*k - 3. Let q(w) = w**2 + 7*w + 2. Suppose t - 9 - 1 = 0. Calculate the least common multiple of t and q(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 56583492919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -3697 + -1?\nAnswer: -3698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 3698078 to the power of 1\/3, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 165.2 in -4, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = u**2 + 10*u + 3. Calculate v(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 2*j**2 - 18*j - 13. Let y be r(13). Does 35 divide y + -6*2\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 49*z**2 + 91*z + 11*z**3 - 3*z + 33 - 10*z**3 + 6*z. What are the prime factors of o(-47)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7648389ml in litres?\nAnswer: 0.0007648389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -83 + 8*f + 79 - 2*f to k + u*f and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1992 and -3.\nAnswer: 5976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.1, -0.168, -19214?\nAnswer: -0.168","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2605*w*y**3 - 65*w*y**2 - 10*w*y + y**3 + y**2 wrt y.\nAnswer: 15630*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s - 11*k + 8*k = -704, 5*k = -4*s + 558. What is the remainder when 184 is divided by s?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -33\/61 and 1\/(2\/5) - 13620\/9000.\nAnswer: 4575","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -61143 and -1.8.\nAnswer: -61144.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor n**3\/5 - 127*n**2\/5 + 3134*n\/5 - 3008\/5.\nAnswer: (n - 94)*(n - 32)*(n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(17) + sqrt(17)*1)*5)**2*-5.\nAnswer: -8500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = f + 18. Let l be v(-15). Let c be (-4 - 3554\/l)*(-9)\/6. Suppose 120*r + c = 121*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of (-18)\/21*322\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5122450 (base 6) in base 4?\nAnswer: 323220132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -84, -1151, -2934, -5433, -8648?\nAnswer: -12579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/9?  (a) 0.3  (b) 0.8  (c) -6  (d) 1\/10  (e) 1932\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 0 times -56.38\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*t + 19*t + 14 = 2*c, -3*c - 5 = -2*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((9 - 31) + 10)*1\/(-3). Solve -4*c - 2*f = -f - w, 2*f + 3 = 3*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 120 - -21110?\nAnswer: 21230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 0 + 1 + -1 + 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k and 1 j when three letters picked without replacement from {o: 2, q: 3, j: 2, k: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -0.08*0.4\nAnswer: -0.032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -6*h**3 - 9*h**2 - 6*h - 4. Let b(v) = -v**3 + v**2 - v - 1. Calculate -4*b(o) + g(o).\nAnswer: -2*o**3 - 13*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 11299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**12*p**(2\/9) assuming p is positive.\nAnswer: p**(110\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4000)\/37125 - 2\/27?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-8)\/(-14) + 0)*(-91)\/(-26). Solve -k*y + 0*y + 5*l = 0, 16 = 2*y + 3*l for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*l + 10174*l**3 + 15*l + 2*l - 11*l + 912*l**3.\nAnswer: 11086*l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 4.43465*1.04\nAnswer: 4.612036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(459)\/sqrt(3) + -2.\nAnswer: -2 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1445390, -1445411, -1445448, -1445507, -1445594?\nAnswer: -1445715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 12.9675 and -0.0105?\nAnswer: -0.13615875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6908 and 1139878718.\nAnswer: 3454","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1613\/3 + -533. Suppose -4*f = i, 6*f = 2*f - 2*i + 4. Let g = 5 - f. Is g >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.01 - -6.01. Suppose -i + 5*c - c = -64, -c - 196 = -4*i. Let r be (-3)\/i*-2*2. Which is smaller: r or f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1330793500?\nAnswer: 2, 5, 149, 17863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nvb when three letters picked without replacement from bvnv.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3316?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 1 c when two letters picked without replacement from tcacj.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 702 minutes after 2:54 PM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 20911, 16330, 11749?\n\"Answer: -4581*n + 25492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18027614567 - -5060.\nAnswer: -18027609507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 5, 67, 0 in increasing order.\nAnswer: 0, 4, 5, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 12*l + l - 79105. Is 32 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 48\/5 of a meter?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 4*i**3 + i. Suppose -o + 2*o = 5*v, 2*o + 5*v = 0. Suppose -4*p - 16 = o, 15 = n + 2*p - 6*p. Give f(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 332*w**2 + 6*w - 14. Let m(a) = -498*a**2 - 9*a + 21. Let k(j) = 7*d(j) + 5*m(j). Let y be k(4). Is y\/(-6) + 3\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 times 1.02?\nAnswer: -1.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 52702917 is divided by 67?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) be the third derivative of -w**7\/21 + w**6\/60 + w**4\/12 + 41*w**3\/6 - 52*w**2. What is the second derivative of j(t) wrt t?\nAnswer: -120*t**2 + 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 73 + 27 = 0. Solve -72*c = -77*c + j for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.5, -0.25, 1.33, -5, -1\/18?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 260008 is divided by 1957?\nAnswer: 1684","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 303 minutes after 9:32 AM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4967152 and 3104470.\nAnswer: 24835760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5\/1708 + 3471\/18788. Suppose 0*j - 2*j - 5*u = 29, u - 47 = 4*j. Let f be 18\/j*4\/9. Which is the second biggest value?  (a) f  (b) 2\/3  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -18854597\/9 + 2092305. Let a be 14*5*6615\/175. Let f = m + a. What is the common denominator of 41\/10 and f?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -293 - -301 - (-4 - 1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -39 + 44. Suppose -4*r + 32 = u*f - 0*f, 4*r - 2*f = 4. Solve 8 = -4*b - r*v + v, -3*b - 4*v = 1 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -202 (base 8) in base 15?\nAnswer: -8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (5 - 1 - 6)*(-62*y - 48*y**4 + 62*y) + 2*y + 3*y**4 - 2*y + (-y - 1 + 1)*(3*y**3 - 4*y**3 + 7*y**3) as v*y**3 + r*y**4 + j + u*y + n*y**2 and give r.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = 9, -d = -4*o + 3*o + 6. Suppose 0 = 5*i - 2*j - 22, o*i + 2*j - 6*j = 16. What is the third derivative of 3*w**2 + w**3 - 4*w**3 - i*w**3 wrt w?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1.1 * 17\nAnswer: -18.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 130 minutes before 1:02 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 837679?\nAnswer: 837679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 380 a factor of 495040020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -13*m**4 + 52 - 459 - 4*m**4 + 36*m**2 - 280 wrt m?\nAnswer: -68*m**3 + 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.6179729606 - 97\nAnswer: -97.6179729606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -6*z**2 + 13*z - 7. Let f(y) = 5*y**2 + 0*y**2 - 4*y**2 - 9*y + 5 + 3*y**2. Determine -7*f(r) - 5*i(r).\nAnswer: 2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1039006*o**3 - 2*o**2*t**2 - 3*o*t**2 - 20*o*t + 53*o + 25*t**2 wrt o?\nAnswer: -6234036*o - 4*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1*(80\/(-15))\/8?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 138 = 2*t, 2*g - g - 48 = -5*t. Suppose -4*m = -m - g. Suppose -y + m = 9. Calculate the greatest common divisor of 2 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) be the second derivative of 0 + 0*d**2 - 2*d - 1\/12*d**4 - 1\/6*d**3. What is o(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*q - 155 = 7*q + 3*c, -4*c + 122 = 3*q. Solve -5*p + 4*z = q, -2*z = 3*p - z for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = -16*a + 19*a - 56237, -2*s + 112498 = 2*a. List the prime factors of s.\nAnswer: 5, 11251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1027 + 1027.4. Let m(a) = -a**2 - 4*a - 2. Let i be m(-3). What is the closest to 0.2 in i, -3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = 2*u - 411. Is 15 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2745 or -2746?\nAnswer: -2745","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24 + 0*d**4 + 60*d + 3*d**4 + 0*d**4 + 21*d**3 + 54*d**2 = 0 for d.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g - 4*c - 16880 = -16897, -3*g - 31 = -11*c for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -2, 1, 16, 49, 106?\n\"Answer: h**3 - 4*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -94 + 10. Let o = -86 - w. Which is smaller: o or 5\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 186\/4*(-2)\/(-3). Suppose -f + 5*y = -z, 0*f - 2*y - 28 = -3*f. Let u be (2\/f)\/((-1)\/(-24)). Calculate the highest common factor of u and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6 - 5. Let i be (-3)\/6*0*1. Let m = i - -2. Solve -m*g + 3 = -j for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.9195011 months to millennia.\nAnswer: 0.000159958425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 135*v**2 + 143*v**2 - 8 - 2 - v - 42*v**2 to y*v + h + n*v**2 and give h.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 45*g**2 - 103*g**2 + 54*g**2.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 2, 4, -2145, -446 in decreasing order.\nAnswer: 4, 2, -4, -446, -2145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 339 - 312. What is the highest common factor of x and 324?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -31295*c**6 - 3*c**4 + 67*c**3 + 2*c**2 - 65981491 wrt c?\nAnswer: -3755400*c**3 - 72*c + 402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d = -d - 15. Suppose 11*i = d*i. Solve -4*x + 5 = -f - 10, i = 2*x - 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2437, 9335, 20709, 36559?\nAnswer: 56885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*i + i + 55 = 0. Suppose -4*v + 9 = -i. Suppose v*x = 4*t - 19, 5*t = -x - x + 32. Calculate the highest common divisor of 24 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 49520 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 55661888 is divided by 77?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 10458, 2, 8, -3, 5, 4 in ascending order.\nAnswer: -3, 2, 3, 4, 5, 8, 10458","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**8\/(d*d\/(d**(-5)*d)*d))\/(d\/(d\/d**(-12))*d**(4\/13)) assuming d is positive.\nAnswer: d**(165\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**4\/3 + 31*h**3 + 177*h**2 + 787*h\/3 + 116.\nAnswer: (h + 1)**2*(h + 4)*(h + 87)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24154?\nAnswer: 2, 13, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:51 AM and 6:12 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -2842.3005 and 640.1129?\nAnswer: 3482.4134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2747 = j + x, x = -114*j + 109*j + 13735. Is j a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (1*sqrt(605)*-2 + 4*(sqrt(605) + 0))**2 + (sqrt(25) - (sqrt(400) + sqrt(400)*1))\/(sqrt(35)\/sqrt(7)*-1).\nAnswer: 7*sqrt(5) + 2423","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 51*d**3 - 21*d**2 + 21*d - 21. Let o(f) = -5*f**3 + 2*f**2 - 2*f + 2. Suppose -3*g + 2*q = 4*q - 6, 3*g + 4*q = 0. Calculate g*h(z) + 42*o(z).\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -2*p**2 + p + 2. Let s be m(2). Let a = 59 + -59.4. What is the closest to a in 0.2, 0.3, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 67912358 - 5\nAnswer: 67912353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 538 minutes before 10:32 AM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -y. Let w(t) = -3*t - 3. Suppose 4 = 7*d - 3*d. Give d*w(q) - 2*l(q).\nAnswer: -q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 3*p**2 + 356*p - 353. What is n(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.5 and 1896.\nAnswer: -948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (8\/6)\/(1200\/72 - 24). Let g = 0.2 + -3.2. What is the second biggest value in 2, p, g, -18?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 53  (b) -1  (c) -2  (d) -2940\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = v. Let g = -117 - -131. Let c(i) = -12*i - g*i - 3*i. Calculate a(c(l)).\nAnswer: -29*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 7078518 and -52523949?\nAnswer: 59602467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - -3 - (-7 - (-2 + -4 + 10))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 4*m**2 + 3*m + 13. Let b(i) = -2*i**2 - 2*i - 7. Let w(j) = 5*b(j) + 3*z(j). What is the remainder when 55 is divided by w(3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8933.\nAnswer: 8933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 786?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 64137.36 millilitres?\nAnswer: 64.13736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -2089*q + 6. Let b(f) = -4*f. What is a(b(w))?\nAnswer: 8356*w + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is five sixths of a year in months?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-15)\/(-25))\/(132\/55))\/(3\/(-204)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -13\/66 + 35\/66. Which is the biggest value?  (a) -2  (b) w  (c) 0.038\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = r, -2*u - 7*r + 11880 = -3*r. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -33\/434 and -95\/2.\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sum 59695 and 0.4.\nAnswer: 59695.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**18\/i*i**(5\/4)*(i*i**(3\/11))\/i*i**(-17)\/i)**(4\/7) assuming i is positive.\nAnswer: i**(23\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 152\/3 - 50. Let y = 7\/110 - 533\/165. Let m = y - -7\/2. What is the third smallest value in 2, m, x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -4*a**4 - 6*a**2 + 4*a. Let d(t) = -4*t**4 - 5*t**2 + 3*t. Let y(q) = -6*d(q) + 5*i(q). What is the second derivative of y(c) wrt c?\nAnswer: 48*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -779 - -778.99581. What is x rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*q + 266767 = 1152553. What is the ten thousands digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -14288 + 14527. What is the remainder when b is divided by 71?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 30\/24*((-80)\/4)\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 2620037, 5240071, 7860105, 10480139, 13100173, 15720207?\n\"Answer: 2620034*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - 3*q + 265 = 0. Let d = q - -60. Is d 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 1:58 AM and 1:53 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = p**3 + 5*p**2 - 8*p - 1. Let c = 51 + -34. Suppose -m - 3*r = -c, -m + r = -3*r + 18. What is the smallest common multiple of m and o(-6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*((o\/o**(3\/5))\/o)\/o*o**1*o*(o**(-1))**5)\/((o\/o**(-1))**(1\/39)\/(o*o**0*o**(2\/11))) assuming o is positive.\nAnswer: o**(-5297\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4649 and 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 2307, 4616, 6925, 9234, 11543, 13852?\n\"Answer: 2309*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 34*j**3 + 270*j**2 - 1116*j.\nAnswer: 2*j*(j - 3)*(17*j + 186)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 46827116027 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -632583\/55 + 11501. Find the common denominator of s and 44\/95.\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = j**3 - 3*j**2 - 4*j + 1. Let u be a(4). Which is bigger: -1\/12 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + x - 5244 - 7355 = 0, x + 21001 = -5*h. What is h rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 54\/5 of a micrometer in nanometers?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 71 - 65. Are k and 5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 339*a**6 - 2*a**2 - 55*a**3 + 24*a**6 - 2*a - 743 + 25*a**3 + 30*a**3 wrt a?\nAnswer: 43560*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 4 + 1177517542?\nAnswer: 1177517546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 95560.\nAnswer: 2, 5, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 5163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -4729 + 49447020?\nAnswer: 49442291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -1101010100001000 (base 2) in base 10?\nAnswer: -54536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4463204 or 1?\nAnswer: -4463204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-26)\/6*-3*1. Suppose -f*k = -10*k + 9. Which is bigger: k or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 8*b**2 - 8*b**2 - 9*b**2 - b**2 + 9 - b wrt b.\nAnswer: -20*b - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ooosoossooo. Give prob of sequence sso.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1393 and 796.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0*p**3 - 4*p**3 + 6*p**3)*(0 - 4 + 3) - 79*p**2 + 7*p**3 + 79*p**2 + 5*p**3 - 3*p**3 - 3*p**3 - 295*p - 2263*p**2 - p**3 + 2263*p**2)*(-3*p + 5*p - p).\nAnswer: 3*p**4 - 295*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 37996 and 1416.\nAnswer: 227976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-44 - 10*v + 44)*(4 - 5 + 0)*(4*v**2 - 4*v**2 + 7*v**2).\nAnswer: 70*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 25 - 23. Suppose 0 = 3*r - m*i - 27, -4*r + i + 18 + 23 = 0. Suppose 140 - r = 3*d. What is the remainder when d is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 863 divide 295525562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 3, o: 3, f: 2, s: 5}. What is prob of picking 2 f and 1 c?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find i such that -2*i**3 - 68020*i**2 + 2314926*i - 2246904 = 0.\nAnswer: -34044, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor k**2 - 156437*k - 156438.\nAnswer: (k - 156438)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3877 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2800597ug in milligrams?\nAnswer: 0.0002800597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3 - (-3 + -1 + 4). Suppose -7 = -2*o - g. Solve -h + 24 = 4*r - 0*h, -o*r = -2*h - 2 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) be the third derivative of u**5\/10 + u**4\/4 + 418*u**2 + 4. Let r(h) = 4*h - 2. Calculate r(a(p)).\nAnswer: 24*p**2 + 24*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 1 + 1)*(0 - h**4 + 0) - 7*h**4 + 0*h**4 + 4*h**4 + 0*h**4 + h**4 + h**4.\nAnswer: -3*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-46)\/(-14) - 3\/63*6. Suppose -m = -3*w + 8, 0 = -5*w - 4*m + 5 - t. Solve 5 = r + w for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12448\/(-85580)*(-22)\/152?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(2904) + sqrt(24)))\/(sqrt(128) - -1*sqrt(128)).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -7*g - 30. Let s(i) = -i - 6. Let f(d) = 6*s(d) - u(d). What is f(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 373, -2507, -7301, -14003, -22607, -33107, -45497, -59771?\nAnswer: -75923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Add together -35190.56 and 815.2.\nAnswer: -34375.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -3430967 (base 10) to base 7\nAnswer: -41106551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 79 + -74. Suppose 0 = 5*o - 0 - b, -l - 5*o + 8 = 0. Let r be l - 1*(-4 + 2). Solve r*z + j + 1 = 0, -2*z - 5*j + 14 = -j for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - (-3 + 0 + 4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) be the second derivative of 608*l**3\/3 + 1212*l. Let y(n) = n**2. What is y(i(z))?\nAnswer: 1478656*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 2306 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -35988, -36065, -36152, -36255, -36380, -36533, -36720?\n\"Answer: -k**3 + k**2 - 73*k - 35915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00004308501165 rounded to 6 dps?\nAnswer: -0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -6 <= -238?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2380296187?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/45 of a day in minutes?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ux when two letters picked without replacement from uxssu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -3*2 - -2 - 1. Let z(j) = -j**3 - 5*j**2 + 1. Let a be z(t). List the prime factors of 0\/a + (-2 - -10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 23016 and 52536?\nAnswer: 50382024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor m**5 - 19*m**4 - 126*m**3 + 144*m**2.\nAnswer: m**2*(m - 24)*(m - 1)*(m + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 64 + 45 + 12*j + 44 + 43 - 199 + j**2.\nAnswer: j**2 + 12*j - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 27140, -31, -29.\nAnswer: -31, -29, 27140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + 71703 = 4*a, 27*a - 24*a - 53781 = 3*m. What are the prime factors of a?\nAnswer: 2, 4483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 552*c**2 - 16*c - 18 wrt c?\nAnswer: 1104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*b**4 + 15810*b**3 + 47460*b**2 + 47470*b + 15825 = 0. What is b?\nAnswer: -1, 3165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/17, 0, -0.037, -2, 0.1?\nAnswer: -0.037","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (sqrt(405) + sqrt(405) + sqrt(405) + 2)**2.\nAnswer: 108*sqrt(5) + 3644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 4*r - 31. Let t(n) = 41*n - 254. Let d be t(6). Let p(v) = -11*v + 93. Determine d*i(b) - 3*p(b).\nAnswer: b - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 176839181 to the nearest integer?\nAnswer: 13298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 4*p**3 + 2*p**2 + 2*p + 2. Let k be l(-2). Let i = 28 + k. Let r = i + 4. What is the smallest common multiple of 15 and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -1033*y + 1128*y - 227430. Calculate the smallest common multiple of y and 114.\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 0*(3\/1 - 4). Let n(c) = -2*c - 11. Let k be n(z). Is (k - 11)\/(4\/(-2)) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1129 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2891, -2737, -2583, -2429?\nAnswer: -2275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 46 and 828299?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 8157*d - 85*d + 8836*d + 3165*d - 4701*d as z*d + k and give z.\nAnswer: 15372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 65\/229368 and -79\/57.\nAnswer: 229368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*s = -22 - 30 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1220 + 11?\nAnswer: -1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out -114.1788 * -2.\nAnswer: 228.3576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -11439.37 + 11388.36496. Let b = v + 51. What is b rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (245\/15 - 3)*(-6)\/(-4). Suppose 18*i - p*i = -50. Solve -2*c = 5*w + 3*c - i, 0 = 3*w - 4*c - 15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ppwfbwpppffbpwfwbbfw. What is prob of picking 2 p?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + ((-3 + 2 + sqrt(252))*4 + -1)*-1*2*-1.\nAnswer: -9 + 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((952\/70)\/(-17))\/((-2)\/(-5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.2 + -0.8. Let j = -6.8 - -7. Which is the nearest to -1?  (a) 2  (b) w  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -10 - -15. Which is the third smallest value?  (a) -3  (b) w  (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence im when two letters picked without replacement from {o: 2, i: 1, m: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -7*j**2 + 2*j. Let s = 124 + -127. Let m(i) = -4*i**2 + i. Calculate s*d(r) + 5*m(r).\nAnswer: r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 168*j**4*r - j**4 - 2206*j**3*r + 2*j**2*r - 6*j*r - 2686*j + 9 wrt j.\nAnswer: 4032*j*r - 24*j - 13236*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -n**2 + 5*n + 5. Let l be a(5). Let k be ((-6)\/9)\/((-8)\/(-6))*-4. Suppose -5*z - i = -30, l = 3*z - 4*z + k*i. Solve -9*y + 4*y + z = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 74.193 - 0.793. Let j = -3.6 - b. Let v = -76.99868 - j. Round v to four decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/(-8)*-4*3. Suppose 0*y + y - 75 = -5*z, -z = v*y - 225. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 19\/264 and -1\/132.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 1359?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -6*u**2 - 9*u - 8. Let n be j(-1). Put n, 0.4, 2\/19 in decreasing order.\nAnswer: 0.4, 2\/19, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 161114 to the nearest integer?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-2\/7)*q)**(3\/4)\/(q\/(q**(2\/9)*q)*q*q*q*q**1) assuming q is positive.\nAnswer: q**(-817\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-294)\/168)\/(4\/48)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -q**2 + 4*q. Let b be m(4). What is the tens digit of b - (-21 + (-1 - -3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 46494652961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*d**3 - 33*d**3 + 35*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 55373.1 months in years?\nAnswer: 4614.425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*i**4 + 3*i**4 + 3*i**4)*(0 + 2 + 1).\nAnswer: 9*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 109962715 divided by -5.\nAnswer: -21992543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 6b + 1?\nAnswer: 6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 41*q**3 + q**2 - 2*q + 1. Let t be k(1). Calculate the lowest common multiple of -1*(-1 - 13\/1) and (-1)\/(-3) - t\/(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 6382280 and 3191140?\nAnswer: 6382280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -111 (base 2) to base 16\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = r**3 - 3*r - 2*r**2 + 6*r**2 - r**2. Let k be m(-4). Let n(i) be the first derivative of i**2 - 2*i + 1526. Determine n(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 312201310 or 2185409175\/7?\nAnswer: 2185409175\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -m. Let d(v) = 2*v + 347337. What is n(d(o))?\nAnswer: -2*o - 347337","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-44*t + 11*t - 16*t)*(0*t**3 - 3*t**3 + 2*t**3) + 15*t - 15*t - 2*t**4.\nAnswer: 47*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) be the third derivative of 1\/12*b**5 + 7*b**2 + 0 + 0*b - 5\/12*b**4 + 2\/3*b**3. What is the units digit of f(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1.9 in 0.5, 5, 1\/5, 0.423, -77?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6978 and 54.\nAnswer: 62802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 26  (b) 0.2  (c) -3\/5  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 34\/(-36) + 2\/4. Let g = 0.5 + -0.4. Let d = 0 + g. Which is the nearest to d?  (a) j  (b) -1\/2  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 12 - 32021301?\nAnswer: -32021223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 725425562 - 3?\nAnswer: 725425558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (-182)\/(-39) + 13 - 6\/(-18)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = h**2 - 9*h - 5. Let t be l(9). Let f be t + 1 + (-4)\/(-1). Let o(w) = w + 7. Let b be o(-3). Solve f = -3*a + b*a + 4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + ((sqrt(153) - 4*1*sqrt(153))\/((sqrt(72) + -1*sqrt(72) + sqrt(72))\/sqrt(8)) - (-1 + 3*sqrt(17) - (-2*sqrt(833))**2)).\nAnswer: -6*sqrt(17) + 3336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 443 minutes after 12:10 AM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -58581*l**3 + 33*l**2 - 63889568*l wrt l?\nAnswer: -351486*l + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 41321847?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-x**2 + 2*x**3 + x**2)*(2 - 2 - 2*x) + 45*x**2 - 38*x**4 + 84*x**4 - 48*x**4.\nAnswer: -6*x**4 + 45*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*-4*(2*sqrt(245) + 2 + 5 + 2*(-4 + sqrt(245) + (sqrt(245) - (sqrt(245) + 0)))))**2.\nAnswer: -896*sqrt(5) + 62736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bs when two letters picked without replacement from {x: 1, s: 3, b: 1}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-1)\/2)\/(41\/(-5658)*-115))\/(7\/85).\nAnswer: -51\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -357401 bigger than -357401?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = v**2 + 33*v + 6. What is y(-33)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 462 minutes before 8:45 PM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 2, f: 3, b: 4}. What is prob of sequence fr?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:20 AM and 10:06 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(3*(-7)\/105).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 19 times -5052\nAnswer: -95988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6019 is divided by 3006.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 + 6 = 5*s. Solve 0*r = r - s for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 16 + -16. Suppose b = -r + 3*q + 1, -3*r + 0*r - q = -13. What is the second derivative of -13*j**4 + r*j - 3*j - 3*j + 21*j**4 wrt j?\nAnswer: 96*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -5*f**3 + 2*f**2 - f + 2. List the prime factors of a(-6).\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -15 + -2 - -22 - (0 - -2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 10102 (base 3) in base 9?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-4)\/2 + 444 + (-22)\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-p**2 - p**3 + 3*p**2 + 2*p**3)*(-274*p - 81*p - 170*p) to d*p + s*p**2 + b + k*p**4 + l*p**3 and give k.\nAnswer: -525","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 345, 465, 485, 405, 225, -55?\n\"Answer: -50*z**2 + 270*z + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = m**2. Let r be 1 - (2 + 90\/(-3)). Suppose 50 = 5*w + 4*b, r = -5*w + 2*b + 109. Let y(k) = 14 - w + k. What is a(y(x))?\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 3*d + 2 = 0, 0 = 5*j + 3*d - 131. Suppose -16*m - 36 = -j*m. Let l be ((-12)\/(-10))\/((-2)\/(-20)). Solve 4*b = -5*s, s + l = -m*b - s for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -18\/71 + 766\/781. Factor -98\/11*w**2 + 0*w + s.\nAnswer: -2*(7*w - 2)*(7*w + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1*(2 + -5)\/(-3). Let x be (-1)\/(-2)*(-16)\/u. Let a = x - -11. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1435323769?\nAnswer: 11, 353, 373, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 2*i**2 - 3. Let s(y) = -y**2 + 1. Calculate m(l) + 3*s(l).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(3\/4)\/l*l*l)**(4\/27)\/(l*l\/l**(-3\/4)*l)**(-41))**(-37) assuming l is positive.\nAnswer: l**(-615421\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -1 - (-10 + (1 - 2)). Suppose -2*c - 1 = 4*u + 3, u = 5*c + i. Solve -14 = -2*j - 2*l - l, u = -5*j - l + 22 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2.27 + 0.61. Let f = t - 0.34. What is the closest to 0 in 5, f, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -3*m**2. Let k(y) = -5073689*y. Give k(b(z)).\nAnswer: 15221067*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1.35 and 0.5?\nAnswer: 0.675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10391*x - 10262*x - 4562 = 2969 - 694 for x.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 90596099?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 116 a factor of 23886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = d**3 + 6*d**2 + 6*d + 5. Let i be z(-5). Suppose 5*a + 0*f = -3*f, 0 = 2*a - 2*f. Are a and i equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 34*p + 26. Let f(y) = y + 11. Calculate -2*f(k) + o(k).\nAnswer: 32*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*l**3 - 9026*l**2 - 4081*l - 4 wrt l.\nAnswer: 12*l - 18052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 6093983121 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 3*k - 4. Let s be m(4). Suppose 0 = -g - 2*d + s, 4 = 5*g + d - 3*d. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 54567 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-81*v + 110*v - 86*v)*(2 - 4 + 3)*(3 - 3 - 3*v + (4 - 2 - 5)*(-4*v + 0*v + 5*v) - v - 6*v + 5*v).\nAnswer: 456*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.073914 to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -31035406 (base 7) to base 8.\nAnswer: -11721026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 198006448?\nAnswer: 2, 19, 23, 28319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) be the second derivative of b**8\/28 + 7*b**5\/10 - 271*b**4\/12 + 407*b. What is the third derivative of k(y) wrt y?\nAnswer: 240*y**3 + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -3 + 64ee58?\nAnswer: 64ee55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 401 minutes after 11:38 AM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 244, 486, 728?\n\"Answer: 242*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-2)\/4)\/(2\/(-24)). Let f(u) = 6*u**2 - 1. Let g(j) = -j**3 + 24*j**2 + 2*j - 17. Let h(d) = -3*f(d) + g(d). Calculate h(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -26  (b) -0.4  (c) 0.01225\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.041 + -0.059. Which is the fourth biggest value?  (a) -2\/9  (b) k  (c) 5  (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*u - u = 49. Let q = u + 25. Let p = q + -9. Is 4 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*q - 10*q = -3*h + 39, 2*q + 3*h + 46 = 0. Let p be (-10)\/4*-8 - -1. Let v = q + p. Solve -v*y = 1 + 15 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2022123103322 - -121?\nAnswer: 2022123110103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -3560*l + 113916. Calculate x(32).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) be the first derivative of -3*v**2 + 13*v + 2. Let b(q) = q - 2. Suppose 0 = 5*u + 3*t + 15, -u - 12 = -t - 1. What is u*n(o) - 39*b(o)?\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 222*k**4 + 11*k + 0 + 2 - 6*k + 2*k**3 - 224*k**4 + 4*k**2 to the form p*k**2 + a*k**4 + i*k + n + d*k**3 and give i.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 - 6 = -2*l + 4*h, 5*l - 3*h = 25. Let y = 11 - l. Let j = y + -4. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -627 + 697.8. Let c = -77 + v. Round c to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 56, 0.1, 30097?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (26 + (-5133)\/174)\/((-7)\/(-116)).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 + 30 = -5*j. Let f(a) = 55600*a**3 + 3*a**2 + 13*a - 10. Let y be f(j). Round y to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -r + v, -3*r + 7*r - 10 = 2*v. Let n(y) = -y**3 + 4*y**2 - 3*y - 1. Let k be n(r). Solve z - 4*x = -k, -15 = -8*z + 4*z - 3*x for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 7\/25 of a gram?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.1 less than or equal to -16\/6889?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -16*b + 15*b + 2. Find the third derivative of -10*r**3 - 2*r**b + r**3 + 8*r**2 wrt r.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xzz. What is prob of sequence zz?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 71 - 58. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -4*(198\/(-12))\/11 - 3. Let k be 2*2 + (0 - -1). Suppose -c*j - 3 = 0, -k*x + 0*x = 5*j - 125. What are the prime factors of x?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 955834.\nAnswer: 2, 11, 23, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 919 - 874. What is the greatest common factor of b and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 543 is divided by 33.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = -0*c - 3*c - 21, 5*v - 3 = -4*c. Let n(p) = -v*p - 5 - 5*p - 6*p + 0*p. Is n(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o = 2*o, 4*p - 92 = -2*o. What are the prime factors of p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + 4 + (9 - 11).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u + 1160 = 5*y, 2*y + u = -2*u + 444. Let c be 20\/6*y\/950. Determine n, given that c*n**3 - 12\/5*n + 8\/5 + 0*n**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((3*1)\/1)\/(71\/(-71))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -2 - -5 - (-1 - -3). Suppose 5*m - 4*h = m + 32, h = -2*m + r. Is 9 a factor of ((-15)\/(-2) - m)*2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 30417353 to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 34\/(-85)*(-28 - 1264\/(-48)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9*(-10)\/10*2\/2*1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -753 divided by 251?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 + (-10 - -3 - -9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1113018919?\nAnswer: 1113018919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -144*i**5 - 201*i**2 wrt i?\nAnswer: -8640*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 201688 and 1360?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*i = -3*i - 2*l - 4, -4*l - 8 = 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 19392 divided by 2424.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -71321 - 2?\nAnswer: -71323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -215, -208, -163, -80, 41, 200, 397?\nAnswer: 632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.29 less than -8966816.3?\nAnswer: -8966816.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 179351498381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -887147 (base 9) to base 10.\nAnswer: -530107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -14*f + 1466. Let c be x(104). Suppose 4*s - 6 - 2 = 0. Suppose 2*k = -5*j, -3*k - s*j = 3*j - 10. What is the highest common divisor of c and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 3 + 0 = 3*f, 0 = -3*d - f + 11. Suppose -5*p - j = -2*j - 279, 2*j = -d*p + 157. List the prime factors of p.\nAnswer: 5, 11","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) 0.2  (c) 3968095\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -11\/5 or 9342?\nAnswer: 9342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 129630204 a multiple of 484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) be the second derivative of -751*g**5\/5 - 547*g**2 + 194*g + 2. What is the first derivative of x(w) wrt w?\nAnswer: -9012*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -87 - -87.4. Which is the closest to -1?  (a) 2  (b) x  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (15 - 2*o**3 - 15)*((1 - 1 + 2*o)*(1 + 0 + 1) - 2*o - 2*o + 6*o) + 17*o**4 + 160*o**4 - 44*o**4.\nAnswer: 121*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/29 - (-163)\/((-66178)\/(-5712))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2368*a = -2949*a + 979*a + 43380 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 70696308 divided by 6\nAnswer: 11782718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 131 - -920. List the prime factors of h.\nAnswer: 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2553360 - 24?\nAnswer: -2553384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15 - 5*d**3 + 3 + 12.\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/2)\/(5\/20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1148298 and 2650?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 23873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a + 8 = 2*l, 4*l + 4*a + 9 = 5*a for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 6*o**2 + 3*o - 5. Let g = 18 - 15. What is the units digit of t(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 149138010 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) be the third derivative of j**5\/360 + j**4\/36 + j**3\/12 - 6*j**2. Factor r(y).\nAnswer: (y + 1)*(y + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a millennium in years?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 4192.65mg?\nAnswer: 4192650000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) be the second derivative of -b**5\/20 - 2*b**4\/3 - 7*b**3\/6 + 18*b. Let k be g(-7). Suppose -o + k*d - d + 498 = 0, d + 4 = 0. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2560 and 30.\nAnswer: 7680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(600) - (-1*sqrt(600) + sqrt(600)))\/sqrt(12))\/sqrt(10)*5 + (sqrt(720)*-3)\/(sqrt(72)\/sqrt(2)))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -12596709 to the nearest 10000.\nAnswer: -12600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-6 + 230\/(-15))\/(11\/(759\/(-115))). Let -32\/5*r**3 + z + 4\/5*r**5 + 64\/5*r - 32\/5*r**2 + 4\/5*r**4 = 0. Calculate r.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -4 + (-722002)\/134320 - 1\/2. Let z = -2\/8395 - k. What is the common denominator of 2\/(-1) - 302\/(-40) and z?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*z + 3*s - 4 + 12, -3*s + 12 = 3*z. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -274765 (base 9) in base 12?\nAnswer: -80b7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 30691 and 61382?\nAnswer: 61382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:52 PM and 11:06 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 927*m**3*s - 8*m**3 + 3*m**2*s + 738*m**2 - 99404326*m*s wrt m?\nAnswer: 5562*m*s - 48*m + 6*s + 1476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 26865767891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*b**4\/3 + 4*b**3\/3 + 8*b**2 + 28*b\/3 + 10\/3.\nAnswer: -2*(b - 5)*(b + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*y**6 + 4*y**4 - 337588*y**3 + 56438427*y**2 wrt y?\nAnswer: 240*y**3 + 96*y - 2025528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -122045*u**6 - 742*u**2 - 6 wrt u.\nAnswer: -14645400*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t + 25 = -5*v, 35*v + 9*t + 10*t = 31*v - 112 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -5 - -2 - 9*1. What is the common denominator of (3*-15 + 1)\/3 and (-291)\/30 - r\/(-20)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*m**2 + 5*m**2 + 11*m**2.\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-4)\/(-6))\/(2\/3). Let i = 11\/227 + 728\/8399. Let k = 197\/185 + i. What is the nearest to v in 5, -0.2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.35 * -3\nAnswer: -1.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 34223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -13\/528  (b) 2\/39  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Total of -31657182 and -2.\nAnswer: -31657184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (1*(-39)\/(-117)*2\/(-6))\/1?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -91*p + 12 = -85*p. Solve -p*o - 5 + 1 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -99*v + 21*v**3 + 2*v**2 + 99*v + (5 - 20 + 35)*(-6*v**3 + 2*v**3 + 3*v**3).\nAnswer: v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26*f + 12*f + 14*f - 812095*f**2 - 200395*f**2.\nAnswer: -1012490*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7232 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert -47104c (base 13) to base 2.\nAnswer: -110011011111101000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-119)\/(-119))\/(2\/6). Which is the smallest value?  (a) 0  (b) 4  (c) r  (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 27, -2\/5, -1\/15, 2 in decreasing order.\nAnswer: 27, 2, -1\/15, -2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (4\/(-6))\/(2\/72). Let w be 0 + 1 + (-23 - g). Solve 5*x - 8 = 2, -m - 1 = w*x for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -371, 0, -0.4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -384, -276, -94, 162, 492, 896, 1374?\nAnswer: 1926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3687 is divided by 300?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = l**3 + 9*l**2 - l - 12. Let m be s(-9). Let x = 889 - 889.4. Which is the biggest value?  (a) x  (b) m  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 6*x + 2. Let i(v) = 2*v + 1 + 4 + 15*v. Suppose -u - 11 = -4*c, 3*c - 5*u - 275 + 288 = 0. Calculate c*i(y) - 11*l(y).\nAnswer: 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1109600 and 38000.\nAnswer: 5548000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -10 + 12. Let w(n) = -177 + 89 + 88 - i*n. Let y(a) = a + 6. Let s(f) = -3*f - 17. Let p(g) = -6*s(g) - 17*y(g). Calculate w(p(k)).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 66?  (a) 2.4  (b) 25\/531  (c) 0.5  (d) 4  (e) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 13 - 39 - (17 - (2 - -72))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1869886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 413 divide 44968266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 9\/(-3) - 69\/(-3). Let p = h - 25. Which is the second biggest value?  (a) 0  (b) -1  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-5)\/(15\/12))\/14. What is the nearest to y in -7\/3, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.027 and 1514.51.\nAnswer: 1514.483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 2*t + 5*t = 6, 2*t + 6 = 0. Suppose 3*s + 3*x - 104 = -2*s, -y*s - 3*x + 60 = 0. What is the smallest common multiple of s and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12140 (base 5) to base 12.\nAnswer: -648","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 8411.06 to 0 dps.\nAnswer: 8411","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5 + 5. Let q be ((-1)\/5)\/(k + 1). Is q >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*u**4 - 6117*u**3 - 137946*u**2 + 2335752*u + 2467584 = 0. What is u?\nAnswer: -2016, -34, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5 + 1 + 0)*(4*i - 4*i + 3*i)*(15*i**3 + 31*i**2 - 11*i**3 + 21*i**2) to the form y + d*i**3 + h*i**4 + c*i + r*i**2 and give d.\nAnswer: -624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-20)\/(-6))\/((-12)\/(-126)). What is the greatest common factor of 5 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4719 - 4488. What is the greatest common divisor of 35 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 1, d: 4, r: 2}. Give prob of sequence drnr.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 0 + 3 - 6*x**2 - 3*x + 4*x**2. Let d(f) = 6*f**2 + 8*f - 8. Let q(p) = 3*d(p) + 8*u(p). Let n(j) = -3*j**2. Determine n(q(t)).\nAnswer: -12*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x - 5 = 5*x - 2*h, 2*x - 2*h = -2. Which is smaller: x or -2\/31?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((4\/13)\/1)\/((-178)\/(-1157)). Find s such that 14*s + s**3 - 27*s + 4*s**2 - s**v + 13*s = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = s - 0*s. What is the remainder when 66 is divided by s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1001 + -10?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 a when two letters picked without replacement from {b: 9, a: 4, i: 1}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5924 + -5649. Calculate the highest common divisor of p and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when -1 - (-58 - 273\/(-21)) is divided by 2\/(-3) - 62\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 529, 1119, 1685, 2215, 2697, 3119?\nAnswer: 3469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Do 88438217 and 88438218 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1)\/(0 - (-3)\/(-3)). Suppose 2*q - n = q. Suppose -3 + q = -x. Sort 4, 5, x in decreasing order.\nAnswer: 5, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 45386583?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -3*n - 9. Let w be i(-11). Suppose w = 5*y - 1. Suppose y*j - 3*v + 10 = 0, -j - v = 4*v + 30. Which is the smallest value?  (a) 1\/4  (b) j  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 556538?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0, -0.2, -1\/4, 9\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -2 - v - 2 + 0*v. Suppose r = 3*a - 4*r, -2*r = -2*a. Let x be -3 - (a + (-18)\/2). Let q(p) = 4*p + 15. Determine x*q(o) + 22*s(o).\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from hahhhhhh.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 11*i**2 + 16*i + 2 - 12 - 70885*i**3 + 70886*i**3. Give p(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6 - (21 - (13 + -1))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/(-3) - (-156)\/117. Let r = 10 - 9. Let v be (r - 0)\/((-3)\/12). Which is the biggest value?  (a) 0.2  (b) v  (c) n  (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 4*q + 2*h, -3*q + 0*q + 4*h - 23 = 0. Which is smaller: q or 2\/43?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2315981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 18*h - 3*h**4 - 8*h + 2 - 13*h in the form l*h**4 + a*h + s + i*h**3 + t*h**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 605335 is divided by 121034.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -7*s**3 - 5*s**2 - 5*s - 2. What is o(-2)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = l**3 - 14*l**2 - 15*l + 5. Let k = -17 + 32. Let j be p(k). Is 731 + (-15)\/j - -5 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 6*o**2 - 7*o**2 - 2*o - 1 + 2*o. What is v(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/2, -7\/2, 0, 6 in descending order.\nAnswer: 6, 3\/2, 0, -7\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -217216+0.03\nAnswer: -217215.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 1 + u)*(-2 + 2 - 1)*(0 - 10 - 4) in the form l + z*u and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 82640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 47 = -p, -5*r = 4*p + 73 + 159. Is (-9)\/p + 20\/42*3954 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 79 + -76. Let d(n) be the first derivative of -1\/2*n**4 - n**2 + 4\/3*n**s + 0*n + 5. Let d(h) = 0. Calculate h.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 300*j + 308*j - 608*j + 143*j**2 in the form z*j**2 + v*j + n and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 5656341 (base 8) in base 13?\nAnswer: 417ba4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*b**2 + 4*b**3 - 2*b**2)*(5 - 3 - 3)*(b + 5*b**2 - 2*b**2 + 2*b**2).\nAnswer: -20*b**5 - 4*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 95 + 91 + 23*p**2 + 89 - 275.\nAnswer: 23*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5920?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in one quarter of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 393 and 4585.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 306 is divided by 77?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-56)\/6)\/((-13)\/(-5460)*-4) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (v + 0 + 0)*(-2*v**2 + 2*v**2 - v**4) + 40*v**5 - 64 + 64.\nAnswer: 39*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -402 + 407. Suppose 35 = g*m - 5*i, -5*m = -i + 1 - 20. Solve m*l = -4*b + 4, 3*b + 1 = 4*l - 21 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -454\/37 + 3474\/259. Let q(s) be the second derivative of -1\/70*s**5 + 4\/21*s**3 - 15*s - v*s**2 + 1\/21*s**4 + 0. Factor q(t).\nAnswer: -2*(t - 2)**2*(t + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -235*i**2 + 8*i. Let t(k) = 157*k**2 - 5*k. Calculate -5*g(a) - 8*t(a).\nAnswer: -81*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1695*o + 10*o**3 + 1695*o.\nAnswer: 10*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -204\/535 - 2\/107. Let t be 548\/(-1370)*5\/(-2). Suppose -3*j + i + i - 23 = 0, i + 21 = -5*j. What is the smallest value in -1\/4, j, t, r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - r = 3*n + 12, r = -n + 10. Suppose 20 = r*s - 448. Suppose s - 30 = b. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5.7 - 6. Let w = 7362\/7 - 1052. Which is the closest to 1?  (a) w  (b) s  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 14868 and 228?\nAnswer: 282492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 31*r - 1. Let n(l) = 42*l + 1. Let i(o) = 2*n(o) + 2*u(o). Let j(y) = -2*y. Determine i(j(d)).\nAnswer: -292*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*v - 0*v + 8, -5*w + 4*v - 1 = 0. Suppose 495 = -2*u - w*u + 5*r, 3*r + 218 = -2*u. Let z = u - -197. List the prime factors of z.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -2*u**2 - 29*u - 10. Let f be k(-14). Put 276, -4, f in descending order.\nAnswer: 276, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*i - 2*y - 563, 0*i + 935 = 5*i - 5*y. What are the prime factors of i?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 5*c - 10. Let u be p(19). Suppose 2*v = -a + 25, -2*a = 4*v - 7*a - u. Is 15 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 400*v - 3201. Let l be n(8). Put -4, -2, 4, l, -208 in increasing order.\nAnswer: -208, -4, -2, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by 12814052?\nAnswer: -1\/6407026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3012, 11942, 26810, 47622, 74384, 107102, 145782, 190430?\nAnswer: 241052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.3 in 2\/11, 2, -0.0798, -3\/14, -3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 4*p**2 - p**3 - 5*p**2 + 2 - 2. Determine h(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (p**4 + 4*p**4 - 3*p**4)*(-8 - 1 - 11).\nAnswer: -40*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 10965 and 189329?\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -5 - 77835?\nAnswer: -77841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve p - 3*d = -5*d - 1, -6 = 3*d for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8 - t - 6*t + 9*t)*(-2 + 1 - 1) - t - 5*t + 5*t + (4*t + 2*t - 4*t)*(0 - 2 + 5) + 2*t - 4*t - t.\nAnswer: -2*t + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -153\/4?  (a) 3  (b) 1\/5  (c) 4  (d) -3  (e) 1\/44\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 0\/(-2 + -2 - -2). Solve -5*p - t - 16 - 9 = 0, 3*t + 15 = x for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 313 + -12244014?\nAnswer: -12243201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, -6, -4, 3\/4 in ascending order.\nAnswer: -6, -4, 0.5, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 32596 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 406731?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let -o**3 - 4232483*o**2 - 12697442*o - 8464960 = 0. What is o?\nAnswer: -4232480, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 651 = -7921. Suppose 9*p - 2737 = z. What are the prime factors of p?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) be the first derivative of -5*w**2 + 5*w + 3. Is f(-11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 41929082 * -0.5\nAnswer: -20964541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -b**2 + 10*b - 5. Let p be o(6). Suppose 2*i - 13 = p. Let j = i - 6. Does 10 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = d**3 - 5*d**2 - 5*d + 9. Let h be q(6). Suppose -r + 7 = 1. Calculate the common denominator of (r\/h)\/(4\/305) and -64\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (12\/10)\/3*10. Find the second derivative of j*x + 6*x**2 - 2*x**2 - 3*x wrt x.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0\/(-4 + 1 - -5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*g = -14*g - 8 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gzz when three letters picked without replacement from hzxqzxxxhgxx.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (848\/6)\/(-1 - (-35)\/21). Let j = 9 - 0. Suppose -c = -j*h - 50. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) be the third derivative of -209*w**7\/210 + w**5\/60 - 23*w**4\/12 - 6*w**2 - 3*w. Find the third derivative of o(v) wrt v.\nAnswer: -5016*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 4 and -97.98101.\nAnswer: -391.92404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u and 1 h when three letters picked without replacement from uuuuhuuhuhuu?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(-3 - (-119)\/35)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11310 - 53*s**2 - 182*s**2 + 11310.\nAnswer: -235*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 23720?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -155\/899808 and 131\/19776.\nAnswer: 1799616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 32 = 4*o, z - 5*o - 19 = -2*o. Let w = -20 + 22. Solve w = z*p - 18 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -1287, -1284, -1279, -1272, -1263, -1252, -1239?\n\"Answer: g**2 - 1288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(-1\/10)*u*u\/u**(-22)*u**13\/u**(9\/2) assuming u is positive.\nAnswer: u**(162\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1127057 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -540 (base 15) to base 7\nAnswer: -3312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh smallest value in -0.0351, -3, -0.1, 4, 2\/11, 0.3, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(-4\/15)*(o\/(o**(-2\/9)*o))\/o assuming o is positive.\nAnswer: o**(-47\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*y + 5*p + 10, -8*y - 8*p + 8 = -12*p for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 6 + -20. Let b be 4\/o - (-88)\/210. Let f = 10.8 + -13.8. Sort b, 4, f in descending order.\nAnswer: 4, b, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7430 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:33 AM and 11:54 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -100924, -201789, -302654?\nAnswer: -403519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 394 - -272. Let x = -513 + o. Calculate the lowest common multiple of x and 9.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - v + 9 = -6, 30 = -2*g - 2*v. Let q(y) = y**2 + 15*y + 18. Let z be q(g). What is z rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*s**3 + 43*s**2 - 43*s**2 - 12*s**3.\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}